You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?​

Answers

Answer 1

Answer: 36%

Step-by-step explanation:


Related Questions

Why is it important to clean your instrument?

Answers

Your instrument's pads, finish, springs, and other metal components can all be damaged if you let dirt, moisture, and other debris build up inside of it. It can also corrode strings and other metal components. These faults might cause expensive long-term consequences and are not easily fixed.

Clean the body, head stock, tuners, and fret board using a damp cloth dipped in vinegar, making careful to follow up with a dry towel. Keep in mind that too much moisture ruins wooden instruments. To keep your case odor-free, wait 30 minutes before storing it.

Due to the fact that these solutions often offer the best material compatibility profile and effective filth removal, neutral or detergent solutions with a pH close to neutral are frequently employed for instrument cleaning. Sometimes neutral pH solutions with proteases added to them help remove organic debris.

Learn more about instrument to visit this link

https://brainly.com/question/28572307

#SPJ4

What is the preimage of 3?

Answers

Let x represent the precursor to 3. Preimages of 3 are 13 and 15, respectively. the collection of all domain components that correspond to a certain subset of the codomain;

Mages and pre-images: what are they?

On geometry, new shapes can be produced by shifting, scaling, and other geometrical transformations of figures in a plane. Images are the new (modified) forms, whereas preimages are the old, unchanged ones.

What in geometry is a pre-image?

The pre-image of a figure in a transformation process is that figure's original look.

Let x represent a 3 picture. Preimages of 3 are 13 and 15, respectively.

To know more about pre-image visit:

https://brainly.com/question/1757675

#SPJ4

Given that e parallel f and g is a transversal, we know that angle 4 is-congruent-to angle 5 by the alternate interior angles theorem. We also know that angle 1 is-congruent-to angle 4 and angle 5 is-congruent-to angle 8 by the ________. Therefore, angle 1 is-congruent-to angle 8 by the substitution property.

Answers

We also know that angle 1 is-congruent-to angle 4 and angle 5 is-congruent-to angle 8 by the vertically opposite angles Therefore, angle 1 is-congruent-to angle 8 by the substitution property.

How to find angles when parallel lines are cut by a transversal?

When parallel lines are cut by a transversal, angle relationships are formed. This include corresponding angles, alternate angles , vertical angles etc.

Therefore, line e and f are parallel lines cut by the the transversal g.

∠1 ≅ ∠4(vertically opposite angles)

Hence,

∠4 ≅ ∠8(corresponding angles)

Since, ∠1 ≅ ∠4

Then, by substitution,

∠1 ≅ ∠8 (transitive property)

∠5 ≅ ∠8 (vertically opposite angles)

Therefore, ∠1 ≅ ∠8 by the transitive property.

learn more on parallel lines here:

brainly.com/question/13774044

#SPJ4

What is number line class 6?

Answers

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered.

A number line is a pictorial representation of numbers on a straight line. It's a reference for comparing and ordering numbers.

A number line is usually represented horizontally and can be extended infinitely in any direction.The first mention of the number line as a tool for adding and subtracting is found in the Treatise on Algebra by John Wallis. In his work, Wallis describes addition and subtraction on it in terms of moving forward and backward, in the context of a person walking.A blank number line is a visual diagram with no numbers or markers and is essentially used as a tool for solving word problems.

Steps to add/subtract on a number line:

Locate the first number on the number line. To add: move as many steps as the second number to the right.To subtract: move as many steps as the second number to the right.The number you land on is the answer.

Learn more about Number line at:

https://brainly.com/question/24644930

#SPJ4

calculate the residual for the iron shark, which has a height of 100 feet and a top speed of 52 miles per hour.

Answers

The iron shark has a top speed of 2.4 miles per hour faster than the regression line prediction.

ŷ = 0.2143 (100) + 28.17

ŷ = 49.6

Now, we have to subtract y from ŷ

That is,

52 - 49.6 = 2.4

Hence, 2.4 miles per hour

One or more independent (predictor) variables and one or more dependent (criterion) variables are related in regression analysis, a statistical method. A predicted value for the criterion is obtained from the analysis as a result of a linear combination of the predictors. Your independent variable and your dependent variable are related, as seen by the regression line.

To learn more about regression line: https://brainly.com/question/17004137

#SPJ4

(04.05 MC)

A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.


Years of experience Salary
0 $52,000
1 $53,150
2 $54,260
3 $55,285
4 $56,921
5 $57,126


Use the equation for the line of best fit to predict the salary for an employee with 6 years of experience? (Round your answer to the nearest dollar.)
$61,150
$58,587
$59,672
$57,990

Answers

The salary of an employee with 6 years of experience, based on the line of best fit, is B. $ 58,587

How to find the salary ?

First, find the slope of the line of best fit as:

= ( Y2 - Y1) / ( X2 - X1 )

= ( 57, 126 - 52, 000 ) / ( 5 - 0 )

= 1, 025.2

The y - intercept can be found by substituting the values of y, x, and the slope into the linear function of y = mx + c. The point to be used is (5, 57, 126) :

57, 126 = 1, 025.2 ( 5 ) + c

c = 52, 000

The line of best fit is:

y = 1, 025.2x + 52, 000

If an employee with 6 years experience, their salary would be:

= 1, 025.2x + 52, 000

= 1, 025.2 (6 ) + 52, 000

= $ 58,587

Find out more on the line of best fit at brainly.com/question/17261411

#SPJ1

Will the circumcenter of a triangle always be located inside of the triangle?

Answers

Sometimes the triangle's circumcenter is outside of it. In actuality, it may lie outside the triangle, as in the case of an acute triangle, or it may land at the midway of the hypotenuse of a right triangle.

what is circumcenter ?

the location that is equally spaced from each of a triangle's three vertices and where the three perpendicular bisectors of its sides meet.

The circumcenter of a triangle is found at the junction of all sides' perpendicular bisectors, or lines that are at right angles to each side's midpoint. The triangle's perpendicular bisectors are shown to be contemporaneous by this (i.e. meeting at one point).

Sometimes the triangle's circumcenter is outside of it. In actuality, it may lie outside the triangle, as in the case of an acute triangle, or it may land at the midway of the hypotenuse of a right triangle.

To know more about circumcenter visit:-

https://brainly.com/question/16276899

#SPJ4

What is AAA similarity rule?

Answers

The AAA (angle-angle-angle) similarity theorem can be used to express it as follows: two triangles have equal corresponding angles if and only if their corresponding sides are proportionate.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

Proof:

Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F as shown in the figure.

Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E and also, the line PQ is parallel to EF.

Therefore, by using the basic proportionality theorem, we can write

DP/PE = DQ/QF.

(i.e) AB/DE = AC/DF. …(1)

Similarly,

AB/DE = BC/EF …(2)

From (1) and (2), we can write:

AB/DE = BC/EF = AC/DF.

Therefore, the two triangles ABC and DEF are similar.

Hence, AAA(Angle-angle-angle) is proved.

To know more about Triangle check the below link:

https://brainly.com/question/7620723

#SPJ1

How do you find the x and y intercepts of an equation?

Answers

The ideal way to find the intercepts of an equation with the "x" and "y" axes is to evaluate both values when the image is 0, as described below:

First let's define equation

What are equations?

An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.

  Equations can be graphed, just like a function.

Now that we know what an equation is and its structure, let's explain it with an example.

Let the equation

2y = 4x + 2, determine its intersections with the axes "x" and "y".

First, we clear:

y = (4x + 2)/2

y = 2x + 1

Now we equal y = 0 and find intersection with the x-axis

0 = 2x + 1

2x = -1

x = -1/2

we equal x = 0 and find cut with the y-axis

y = 2(0) + 1

y = 1

As we can see, to find the intercepts, we only have to evaluate the equation when y = 0 and when x = 0.

Learn more about equations at:

brainly.com/question/8806877

#SPJ4

How do you find the median of a class?

Answers

In a grouped data,

it is not possible to find the median for the given observation by looking at the cumulative frequencies.

The middle value of the given data will be in some class interval. So, it is necessary to find the value inside the class interval that divides the whole distribution into two halves.

In this scenario, we have to find the median class.

To find the median class, we have to find the cumulative frequencies of all the classes and n/2.

After that, locate the class whose cumulative frequency is greater than (nearest to) n/2. The class is called the median class.

After finding the median class, use the below formula to find the median value.

[tex]Median = l +(\frac{\frac{n}{2}- cf}{f} )*h[/tex]

Where

l is the lower limit of the median class

n is the number of observations

f is the frequency of median class

h is the class size

cf is the cumulative frequency of class preceding the median class.

To know more about median class visit brainly.com/question/18845760

#SPJ4

asmita went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. asmita has had good luck at blackjack in the past, and she actually got three blackjacks with aces in a row the last time she played. because of this lucky run, asmita thinks that ace is the luckiest card. the dealer deals the first card to her. in a split second, she can see that it is a non-face card, but she is unsure if it is an ace. what is the probability of the card being an ace, given that it is a non-face card? answer choices are in a percentage format, rounded to the nearest whole number. 8% 10% 69% 77%

Answers

The  probability of the card being an ace, given that it is a non-face card is option A: 8% .

What is the probability about?

To find the probability of an event occurring, we can use the formula:

Probability = number of ways the event can occur / total number of outcomes.

In this case, we are trying to see the probability of drawing an ace from a standard deck of 52 cards, given that the card is a non-face card. There are 4 aces in a standard deck of 52 cards, so the number of ways the event (drawing an ace) can occur is 4. There are 52 total cards in the deck, and 48 of them are non-face cards. So, the total number of outcomes is 48.

Therefore, the probability of the card being an ace, given that it is a non-face card, is 4/48.

4/48 = 0.083

When converted to percentage, it is  approximately 8.3%.

Therefore,  This means that the probability of the card being an ace, given that it is a non-face card, is approximately 8%, which is seen as the closest to the answer choice "8%".

Learn more about probability from

https://brainly.com/question/24756209
#SPJ1

How many real roots can a quadratic equation of the form have x2 +5x 6 0?

Answers

The real roots of the quadratic equations are

x = -6 and x = 1

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² + 5x - 6 = 0   be equation (1)

On simplifying the equation , we get

x² - 1x + 6x - 6 = 0

Taking the common factors in the equation , we get

x ( x - 1 ) + 6 ( x - 1 ) = 0

On factorizing the equation , we get

( x + 6 ) ( x - 1 ) = 0

So , we have two real solutions to the equation ,

( x + 6 ) = 0  and  ( x - 1 ) = 0

So ,

when ( x + 6 ) = 0

Subtracting 6 on both sides of the equation , we get

x = -6

And ,

when ( x - 1 ) = 0

Adding 1 on both sides of the equation , we get

x = 1

Therefore , the values of x are -6 and 1

Hence , the real roots of the quadratic equations are -6 and 1

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ4

What are the different types of whole numbers?

Answers

The entire numbers, which consist of positive integer numbers and zero, are the number without any fractions. It is denoted by the letter "W," and the set of numbers is "0, 1, 2, 3, 4, 5, 6, 7, 8, 9,...." So, the first five whole numbers are 0 through 4, respectively.

what is whole numbers?

An integer is either zero, a positive natural number, or a negative integer denoted by a minus sign. The inverse additive of the matching positive integers is represented by the negative numbers. The blackboard bold  Z boldface Z is a common way to represent the set of integers in mathematical notation.

Whole numbers refer to the entire set of natural numbers, including "0." Here are some examples: 0, 11, 25, 36, 999, 1200, etc.

The entire numbers, which consist of positive integer numbers and zero, are the number without any fractions.

To know more about whole numbers visit:-

https://brainly.com/question/29766862

#SPJ4

Consider the sinusoidal function y=−1/2sin(3πx−5)−2​.
What is the midline of the function? Enter your answer as an equation.

What is the amplitude of the function?

What is the period of the function?

What is the phase shift of the function?

5 point per question.

Answers

The features of the sinusoidal function are given as follows:

Midline: y = -2.Amplitude: 1/2.Period: 2/3.Phase shift: 5 units.

What are the parameters of the sine function?

The general definition of the sine function in this problem is given as follows:

y = asin(b(x+c))+d.

The parameters of the general function are explained as follows:

a: amplitude.2π/b: period.c: phase shift.d: vertical shift, representing the midline.

The equation in this problem is given as follows:

y=−1/2sin(3πx−5)−2​.

From the vertical shift, the midline is given as follows:

y = -2.

The period is calculated as follows:

p = 2π/3π = 2/3.

The phase shift and the amplitude are given, respectively, by:

c = 5 units right(as c = -5).a = 1/2. (the negative just means that the function was reflected over the x-axis).

More can be learned about sinusoidal functions at brainly.com/question/28574324

#SPJ1

Please help me with 9-14 please

Answers

Answer:

9. 33% Increase

10. 14 games

11. $3.6

12. $10.80

13. 630

14. 6.3

What is the discriminant of 3x2 5x =- 4?

Answers

For the given expression 3x² + 5x = - 4, the value of the discriminant is equal to -23.

As given in the question,

Given expression is written as :

3x² + 5x = - 4

⇒ 3x² + 5x + 4 = 0

General formula of the discriminant for the given quadratic function

ax² + bx + c = 0 is written as :

Discriminant is written as  'D'

D = b² - 4ac

Here b = 5 , a = 3 and c = 4

Substitute the value in the discriminant formula we have,

D = 5² - 4(3)(4)

⇒D = 25 - 48

⇒ D = -23

Therefore , the value of the discriminant for the given quadratic expression 3x² + 5x + 4 = 0 is equal to -23.

The above question is incomplete ,the complete question is :

What is the value of discriminant 3x² + 5x = -4 ?

Learn more about discriminant here

brainly.com/question/15884086

#SPJ4

Y=10x/3+19 find the x-intercept

Answers

The x-intercept is 19.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate; y₁ - y coordinate

m - slope

Given the equation as;

Y=10x/3+19

Then;

the slope m = 10/3

The intercept is 19.

Hence, the x  intercept is 19.

Learn more about equations here;

brainly.com/question/25180086

#SPJ1

A particle is falling in a viscous liquid. Assume that the drag force is 490 dyn-isec/cm times the velocity. If the mass of the particle is 6 grams, the limiting speed in cm/sec is [hint: use 980 cm/sec2 as the value of the acceleration due to gravity. A) 12 b) 1/12 c) 2 d) 1/3

Answers

The limiting speed of particle can be obtained as 12 cm/sec.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The mass of particle is given as 6 grams.

Suppose the limiting speed be x cm/s.

As per the given question, the following equation can be formed as below,

6 × 980 = 490x

⇒ x = (6 × 980)/490

⇒ x = 12

Hence, the value of the limiting speed is 12 cm/sec.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ12

What are the 3 benefits of SSS?

Answers

Two triangles with three congruent sides are referred to as side-side-side (SSS) triangles. The measures are identical, or congruent, which means they are precisely the same. All three sides of SSS triangles will be equal to their corresponding sides in the second triangle, however individual triangle sides are not always equal to one another.

Theorems of Triangle Congruence

One of four triangle congruence theorems, the SSS theorem is unique in that it excludes the need of an angle. The following three are listed:

Two sides and the angle separating them are congruent, or side angle side (SAS).

Angle Side Angle (ASA): Congruence of two angles and the side joining them.

The three angles are all congruent (AAA).

The 3 benefits of SSS theorem are as follow,

To measurement of the area of a triangle.The values for the height and base will be different.To determine if two triangles are congruent even if they are oriented differently.

For such more question on SSS.

https://brainly.com/question/25425647

#SPJ4

find four consecutive odd integers. five times the second is equal to one more than eight times the smaller

Answers

Answer:

3,5,7,9

Step-by-step explanation:

Let x be an odd integer

given that, consider four consecutive odd integers, which are

x , (x +2), (x+4), (x+6)

Now we have to determine these odd integers such that five times the second is equal to one more than eight times the smaller

5(x+2) = 1 + 8x

5x + 10 = 1 + 8x

10 - 1 = 8x - 5x

9 = 3x

x = 3

How do I prove my SSS postulate?

Answers

The SSS postulate states that "if all the three sides of a triangle are equal to the sides of another triangle then the given triangles are congruent" is proved.

Assume that the lengths of all three sides of the triangles ABC and DEF are known.

The diagram is attached at the end of the solution.

Pick a side from triangle ABC. Find the side with the same length as triangle DEF. For example, we pick [tex]\overline{AB}[/tex] and find that [tex]\overline{D E}[/tex] is equivalent in length to [tex]\overline{AB}[/tex].

Next, write a proof statement about our conclusion and the reason for it. For the reason clause, we state that the two sides are given, since no other work was involved besides reading the lengths of the sides of the diagram. The three dots in the upside-down triangle means "because".

[tex]$$\overline{AB} \cong \overline{DE}$$[/tex]

Choose the other side from triangle ABC. Find the side with the same length as triangle DEF.

We choose the second side [tex]\overline {BC}[/tex] and find from the diagram that [tex]\overline{EF}[/tex] has the same length. The proof statement for this step is:

[tex]$$\overline{BC} \cong \overline{EF}$$[/tex].

Step 3: Pick the last side from triangle ABC.  From triangle DEF, identify the side that is the same length. [tex]\overline{AC}[/tex] and [tex]\overline{DF}[/tex] have the same length. We add another proof statement.

[tex]$$\overline{AC} \cong \overline{DF}$$[/tex]

Step 4: We've discovered that the two triangles have three pairs of congruent sides. That means, by the SSS congruence theorem, triangles ABC and DEF are congruent.

Add a proof statement for this conclusion. The list of the proof statements looks like this.

[tex]$\overline{AB} \cong \overline{DE}[/tex] because [tex]\overline{AB}$[/tex] and [tex]$\overline{DE}$[/tex] are given.

[tex]$\overline{BC} \cong \overline{EF}[/tex] because [tex]$\overline{BC}$[/tex] and [tex]$\overline{EF}$[/tex] are given.

[tex]$\overline{AC} \cong \overline{DF}[/tex] because [tex]$\overline{AC}$[/tex] and [tex]$\overline{DF}$[/tex] are given.

[tex]$\triangle A B C \cong \triangle D E F$[/tex] by SSS congruence theorem.

We have proved that the SSS congruence theorem holds for triangles ABC and DEF.

For more questions on SSS postulate

https://brainly.com/question/1593616

#SPJ4

What is the opposite of (-16+4)?

Answers

Answer: (16 + -4)

Step-by-step explanation:

You have to swap the negative numbers with positives and positive numbers for negative.

You sell small and large candles at a craft fair. You collect $192 selling small candles for $4 a
piece and large candles for $6 a piece. You sold a total of 34 candles in all. Create and solve
a system of equations to find the number of small candles (x) and large candles (y) that were
sold.
How many large candles did you sell at a the craft fair?

Answers

The number of small candles (x) and large candles (y) that were

sold 16 large candles and 12 small candles were sold.

How many large candles did you sell at a the craft fair?

number of small candles (x)

large candles (y)

4x+6y=144  ....equation 1.

x+y=28  ....equation 2.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph always emerges.

To learn more about Linear equations refer to:

https://brainly.com/question/14146037

#SPJ1

Please help me with this question


step by step explanation

Answers

The surface area of the cuboid is given as follows:

147.68 cm².

What is a cuboid?

A cuboid is equivalent to a rectangular prism, having dimensions given as follows:

Length l.Width w.Height h.

The volume of the cuboid is given by the multiplication of the base area and the height, as follows:

V = Ab x h.

In which:

Ab = l x w.

Considering the base area and the volume of the cuboid, the height is obtained as follows:

120 = 30 x h

h = 120/30

h = 4 cm.

A cuboid has a square base, hence the length = width are obtained as follows:

l² = 30

l = square root of 30

l = w = 5.48 cm

Hence the surface area of the cuboid is obtained as follows:

S = 2(lw + wh + lh)

S = 2(30 + 4 x 5.48 + 4 x 5.48)

S = 147.68 cm².

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421

#SPJ1

How do you plot or graph a quadratic inequality in a number line?

Answers

A quadratic inequality of the form

y>a[tex]x^{2}[/tex]+bx+c

(or substitute <,≥ or ≤ for > ) represents a region of the plane bounded by a parabola

A quadratic inequality of the form

y>a[tex]x^{2}[/tex]+bx+c

(or substitute <,≥ or ≤ for > ) represents a region of the plane bounded by a parabola .

To graph a quadratic inequality, start by graphing the parabola. Then fill in the region either above or below it, depending on the inequality.

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.

Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.

Example:

Graph the quadratic inequality.

y≤[tex]x^{2}[/tex]−x−12

The related equation is:

y=[tex]x^{2}[/tex]−x−12

First we notice that a , the coefficient of the [tex]x^{2}[/tex] term, is equal to 1 . Since a is positive, the parabola points upward.

The right side can be factored as:

y=(x+3)(x−4)

So the parabola has x -intercepts at −3 and 4 . The vertex must lie midway between these, so the x -coordinate of the vertex is 0.5 .

Plugging in this x -value, we get:

y=(0.5+3)(0.5−4)

y=(3.5)(−3.5)

y=−12.25

So, the vertex is at (0.5,−12.25) .

We now have enough information to graph the parabola. Remember to graph it with a solid line, since the inequality is "less than or equal to".

To learn more about  quadratic inequality:

https://brainly.com/question/6069010

#SPJ4

Write a formula for rrr in term of \thetaθtheta for the following figure. A circle with a radiu of r centimeter. There are two radii that highlight a ector. The meaure of the arc i four centimeter. The central angle meauring theta radian. A circle with a radiu of r centimeter. There are two radii that highlight a ector. The meaure of the arc i four centimeter. The central angle meauring theta radian. The angle in the figure i a central angle in radian

Answers

The formula of r in term ∅ of is [tex]\frac{∅}{360} * 2\pi r[/tex]

What is circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

What is arc in circle?

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. 

The whole circle of 360 makes arc length of 2πr.

Thus angle of θ will make a length = [tex]\frac{∅}{360} * 2\pi r[/tex].

The formula of r in term ∅ of is [tex]\frac{∅}{360} * 2\pi r[/tex]

To learn more about arc visit : brainly.com/question/16930503

#SPJ4

At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 2 soft drinks cost $22. Which system of linear equations below can be used to determine the price of a hamburger and the price of a soft drink?

Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answers

Answer:

Soft drink: $3

Burger: $4

Step-by-step explanation:

We have equations

4x + 6y = 34

4x + 2y = 22

Multiply the second equation by -1

4x + 6y = 34

-4x + -2y = -22

4y = 12

y = $3

Now put 3 back in to solve for burger

4x + 6(3) = 34

4x +18 =34

4x = 16

x = $4

ryan planted flowers in a rectangular garden. the width of the garden is (x-7) feet and the length of the garden is 3 feet longer than the width. write an expression for the area of the garden.

Answers

The rectangle's length and width can be replaced by variables. and can make use of the area. The area of the garden under consideration can be expressed as x^2-11x+28 square feet.

What mathematical expressions can be created using the above description?

Variables can be used to represent the unknowable amounts. Follow the description and mathematically convert each item one by one. For instance, if you are instructed to multiply an item by 4, you can do so by adding 4. You can multiply anything by two, for instance, if it is doubled, and so on to translate a description into a mathematical expression.

How can you describe the size of the garden in words?

Let the garden's length be y feet.

Since the garden's length is one foot longer than its breadth, which is specified as being (x-7) feet, y=3+ (x-7)

y=3+(x-7)

y=x-4 feet

Since the length and breadth of the rectangle under consideration are multiplied to determine the area of the rectangle, the following results are obtained:

A= length * width

A= (x-4)(x-7)

A= x^2-7x-4x+28

A= x^2-11x+28

Consequently, one phrase for the size of the garden under consideration is x^2-11x+28 square feet.

Learn more about rectangles here: brainly.com/question/2626069

#SPJ4

What are 2 congruent triangles?

Answers

Answer:

Congruent is another word for "same"

Congruent triangles have the same corresponding side lengths and same corresponding angle measures.

What are 3 parts of a circle called?

Answers

Radius, diameter, center, and circumference--all are parts of a circle .Every point in the plane that is a certain distance away from a certain point forms a circle (center).

what is circle?

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

Area of circle =  

[tex]\pi r^2\\r = 10\\A = 3.14 X 10 X 10\\A = 314 unit sq\\[/tex]

To know more about circle visit:
https://brainly.com/question/29142813

#SPJ4

Other Questions
Solve for c.4+c= 10 An object has a weight of 1550N when it is on the surface of a planet of radius R. What will be the gravitational force on the object after it has been moved to a distance of 4R from the surface of the planet? What major U.S. cities could the Soviets have bombed with their medium-range missiles fired from Cuba? someone please help meeee !! I would really appreciate it please help if u put a link i stg A student performs an acid-base titration experiment to determine the amount of ascorbic acid in different brands of juice. Which solution should the student use as the base solution in this acid-base titration experiment?A.) HClB.) NaOHC.) LiBrD.)CaCl2 can someone help me with this immediately!!!!!! and dont guess or leave a link. ill be marking brainiest if u give me the correct answer What citizenship requirement must you meet in order to qualify as a member of the Senate? Please help also how did u get ur answerYour friends are purchasing a house for $182,000.If they put 20% down, how much will they borrow for their mortgage? The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?How much would be paid on interest over the life of the loan> USE VERBS SALIR, IR, VIVIR IN THE CORRECT BLANK. (SEE IMAGE) FULL CORRECT ANSWER WILL BE MARK BRAINIEST How did manifest destiny,crisis, and secession leadto Civil War? Find the distance between the pair of points.(3, 3) and (3,-4) Explain how propaganda is used as a weapon. Section 1 - Question 7Why did some Americans blame Herbert Hoover for the Great Depression of the 1930s?ADuring his presidency, Hoover forbade the banks of the Great Plains from making neBAlthough Hoover's government instituted some programs to create jobs and guarantHoover's programs to create jobs, such as the building of the Golden Gate Bridge ardesperately.DThe towns that Hoover created for the homeless, which were called Hoovervilles, weAmericans residing there.US-HISTORY Leah products that she will need to contribute $7,000 each year for her College tuition she already has $4,000 in savings and the table shows the total value she will have in her account at the end of four years depending on how much he deposits if Leah wants enough after 4 years to cover her contribution for the first two years of college what is the minimum amount she should deposit each month I have a few questions for my crossword puzzle pls help (has 8 boxes)the founder of this protestant church left the catholic church?(has 12 boxes) name of the french fort near saiant augestine?(has 8 boxes) name of the first spanish governer?(has 9 boxes) who was deeply concered with god and the practice of church belifes?(has 7 boxes) the french leader who came to amarica for religous freedom?PLS HELP! plz help like i need it- Fix the one word that is used incorrectly. You should poor cold water over pasta once it's done to stop it from overcooking The beloved Hindu leader of the Indian independence movement was __________.A.Mohammad Ali JinnahB.Mohandas K. GandhiC.Jawaharlal NehruD.Indira Gandhi example of compassion