Find (in radians) for an
angle having an arc length of
23 and a radius of 15.
?
0 = ² radians
Enter

Find (in Radians) For Anangle Having An Arc Length Of23 And A Radius Of 15.?0 = RadiansEnter

Answers

Answer 1

By using the concept of circumference and all known inputs, we conclude that an arc length of 23 and a radius of 15 is equal to 23/15 radians.

How to determine the central angle of an arc

According to the statement, arc length (s) and radius (r) are given:

s = 23, r = 15

The central angle (θ), in radians, is determine by dividing the former by the latter:

θ = s/r

θ = 23/15 rad

By using the concept of circumference and all known inputs, we conclude that an arc length of 23 and a radius of 15 is equal to 23/15 radians.

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Related Questions

Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19 degree angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary

Answers

Answer:

9.4 in

Step-by-step explanation:

sin A = O/H

sin 19° = x/29

x = 29sin19°

x = 9.441 in

x = 9.4 in

which coordinates represent a translation of B (1,2) 3 units to the left and 2 units up

Answers

Answer:

(-2,4)

Step-by-step explanation:

By going 3 back you go 0,-1,-2 then you are already up 2 so if you go up 2 more you are at (-2,4). Hope this helps!

What is the approximate circumference of the circle shown below?
A.20cm
B.31.4cm
C.62.8cm
D.40cm

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Formula for finding the circumference:}[/tex]

[tex]\mathbf{2\times\pi\times radius = circumference}[/tex]

[tex]\huge\textbf{So, your equation should look like this:}[/tex]

[tex]\mathbf{\boxed{\textbf{circumference}} \approx 2\times3.14\times10}[/tex]

[tex]\huge\textbf{Now, that we have that information}\\\\\huge\textbf{out of the way, we can answer the}\\\\\huge\textbf{question, shall we begin?}[/tex]

[tex]\mathbf{\boxed{\textbf{circumference}} \approx 2\times3.14\times10}[/tex]

[tex]\mathbf{\boxed{\text{\bf circumference}}\approx 6.28 \times 10}[/tex]

[tex]\mathbf{\boxed{\bf circumference} \approx 62.8}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\textsf{Option C. 62.8 cm}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Answer is C 62.8cm

Step-by-step explanation:

I just took the quiz!

A(n) _______ appears behind selected text. dotted line double-arrow point blue line shaded background

Answers

A (n) Shaded background Appears behind selected text so option. 4) Is  correct.

What is shading background?

Shading background is process, When  selecting a particular  text there behind the text a shad will form which shows the number of texts selected

Thus,  shaded background appears behind selected text

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write the numerical expression for each statement

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The sum of three and the square root of a number is expressed as 3 + √x.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

1.) The sum of three and the square root of a number.

3 + √x

2.) Nine less than a number cubed.

x³ - 9

3.) The quotient of a number and 7.

x ÷ 7

4.) Four times a quantity plus five.

4x + 5

Hence, The sum of three and the square root of a number is expressed as 3 + √x.

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Is -(3x + 5)^2 a perfect trinomial? Why or why not?

Answers

The given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial.

What is a perfect trinomial?

A perfect square trinomial is takes the algebraic expression form ax^2 +bx + c, where the square root of the first term and the third term is the equation to the second term.

Given that:

-(3x + 5)^2

Open brackets

= - (9x +30x + 55)

Multiply through by (-)

= -9x^2 - 30x - 55

Therefore, we can conclude that the given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial. i.e. the multiplication of the square root of the first and the third term did not result in the 2nd term.

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I don't know how to solve this at all, i just need some help on how to figure it out. Thanks!

Answers

Answer:

[tex]\sf \dfrac{3}{{z-3} }[/tex]

Explanation:

[tex]\Longrightarrow \sf \dfrac{1}{z} \div \dfrac{z-3}{3z}[/tex]

apply the theorem when [tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex] then [tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]

[tex]\Longrightarrow \sf \dfrac{1}{z} \times \dfrac{3z}{z-3}[/tex]

Join the fractions

[tex]\Longrightarrow \sf \dfrac{3z}{z({z-3)} }[/tex]

Cancel out common factor z

[tex]\Longrightarrow \sf \dfrac{3}{{z-3} }[/tex]

The answer is : [tex]\boxed {\frac{3}{z-3}}[/tex]

Remember that dividing fractions is the same as multiplying the 1st fraction by the reciprocal of the other.

[tex]\mathsf {\frac{1}{z} \div \frac{z-3}{3z}}[/tex]

[tex]\mathsf {\frac{1}{z} \times \frac{3z}{z - 3}}[/tex]

[tex]\mathsf {\frac{3}{z-3}}[/tex]

Match the following items.

1.(4, 2)
2.(-4, -2)
3.(-5, 0)
4.(-1, 1)
5.(2, 5)
6.(2, -4)
7.(4, -2)
8.(0, -5)

A
C
E
F
H
B
D
G

Answers

Based on the points on the graph, the correct matches are:

A - (-4, -2).B - .(2, -4)C - (4, -2).D - (2, 5)E - (-1, 1)F - (-5, 0)G - (4, 2)H - (0, -5)

How are points located on a graph?

To find a point, you need to look at the x-axis first and then the y-axis.

Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.

For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.

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Find the tangent of angle Θ in the triangle below.
A. 7/7
B. 0
C. sqroot2
D. 1
E. 7/sqroot98

Answers

Answer:

The tangent of the angle is 1

Step-by-step explanation:

The solution is in the image

△JKL∼△PQR

Two similar triangles. JKL and PQR. The length of JL is 28. The length of LK is unknown. The length of JK is labeled x. Angle J is labeled 35 degrees. The length of PQ is 38. The length of PR is 42. Angle P is labeled 35 degrees.



What is the value of x?

Enter your answer in the box. Round to the nearest hundredth.
x =

Answers

Answer: 25.33

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

[tex]\frac{x}{28}=\frac{38}{42}\\\\x={28} \left(\frac{38}{42} \right) \approx \boxed{25.33}[/tex]

An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling the material with specific applications of liquid nitrogen.

The temperature of the material in degrees Celsius, y, can be modeled by the following graph, where x represents the time, in hours, since the treatment began.

Answers

The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

What is the parabolic graph of the quadratic equation?

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

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help me please i dont understand

Answers

Answer:

22

Step-by-step explanation:

The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B

area of recntangle = bh

Rect A:

b = 5

h = 4 - 2

h = 2

bh = 5 x 2

bh = 10

Rect B:

b = 3

h = 4

bh = 4 X 3

bh = 12

Total = 10 + 12

Total = 22

Please help me thank youuu

Answers

Answer:

  (c)  -3.8, 3

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are the values of x where the function values are equal. These are the x-coordinates of the points where the graphs of y=f(x) and y=g(x) intersect each other.

Points of intersection

The points where the graphs cross can be estimated to be ...

  (-3.8, 6.5) and (3, -6)

The x-coordinates of these points are the solutions to the equation:

  x = -3.8, 3

Ken has a total of 74 notes. They are either $2 or $5 notes. He has 16 more pieces of $5 notes than $2 notes. Find the total value of all his notes.

Answers

Answer:

$283

Step-by-step explanation:

Let,

   x - for $2 notes

   x + 16 - for $5 notes

EQUATION:

  (x) + (x + 16) = 74

  2x = 74 - 16

  2x = 58

  x = 29

SUBSTITUTE

  x = 29 pieces of $2 notes

  x + 16 = 29 + 16 = 45 pieces of $5 notes

TOTAL VALUE IS:

   (29 x $2) + (45 x $5) = $283

If (x2 – 4) ÷ (x 2) = x – 2, which polynomial should fill in the blank below? (x 2) ´ ______ = x2 – 4

Answers

The polynomial which shoud be filled in the blank is (x+2).

Given expression ([tex]x^{2} -4)/x^{2} =x-2[/tex]  and the expression (x+2)____=[tex](x^{2} -4)[/tex]

We have to  find a polynomial which fills the blank in the given expression.

Polynomial is expression of more than two algebraic terms mainly the sum of several terms that contain different powers of the same variable.

We have been given [tex](x^{2} -4)/x+2=x-2[/tex]

first multiply both sides by (x+2)

([tex]x^{2}[/tex]-4)/(x+2) *(x+2)=(x-2)(x+2)

cancelling (x+2) from numerator and denominator we get

([tex]x^{2}[/tex]-4)=(x-2)(x+2)

If we carefully observes the expression we found that both the given expression in which blank takes place are same just on the place of blank there is (x+2).

Hence the polynomial which fills the blank is (x+2).

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Question is wrong as in this the expressions would be :

([tex]x^{2} -4)/x+2=x-2[/tex] and (x+2)____=[tex]x^{2} -4[/tex]

Veronica needs blinds for the window in her bedroom. the window is 2 meters tall and 4 meters wide. what is the area of the window?

Answers

The area of the window is 8[tex]m^{2}[/tex].

What is the area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space. The length and width of a form are used to compute its area.

Any shape's area can be calculated by counting how many unit squares will fit inside of it.

According to the question,

Length of window=2m

Width of window=4m

Area of window=Length*Width

                          =2*4

                          =8[tex]m^{2}[/tex]

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1. The scale on a map reads 3 inches = 25 miles.
If two cities are 7.5 inches apart on the map,
find their actual distance.
A. 54.5 miles
B. 57.5 miles
C. 59.5 miles
D. 62.5 miles

Answers

Answer:

D. 62.5

Step-by-step explanation:

2 ways

1.

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

2.

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

The actual distance for a length on a map is 62.5. so correct option is D.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given The scale on a map reads 3 inches = 25 miles.

If two cities are 7.5 inches apart on the map,

Find the actual distance for a length on a map.

Let x be the actual distance

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

Thus,

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

Therefore, the actual distance for a length on a map is 62.5.

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Construct a perpendicular to t through A
A

Answers

The perpendicular line to line t is drawn below.

The two-line in which the angle between these two lines is 90° i.e. both are right angle to each other then two lines are perpendicular to each other.

Here the given point is point A.

and the line given is line t

we have to draw a line that should be perpendicular to line t.

Let that perpendicular line cut the line t at the point O.

OA ⊥ t

∠AOt= 90°

From above we can draw the line OA which is perpendicular to line t.

The picture is drawn below.

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Translate The Following Into An Expression:
s% of 1/r
(1r is a fraction)

Answers

The equation s% of 1/r translates to the expression s/100r

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

s% of 1/r

= (s/100) * (1/r)

= s/100r

The equation s% of 1/r translates to the expression s/100r

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the volume of a cylinder is 539 cm cube and the circumference of the base is 22 cm. find the height of the cylinder.

Answers

Answer:

13.994[tex]cm (5.sf)[/tex]

Step-by-step explanation:

We know that the base of the cylinder is a circular base.

So circumference of base = [tex]2\pi r[/tex]

Given [tex]2\pi r=22cm\\\\r=\frac{22}{2\pi } \\r=\frac{11}{\pi } cm\\[/tex]

Volume of a cylinder = [tex]\pi r^{2} h[/tex] = 539[tex]cm^{3}[/tex]

Substitute r into the formula for volume of cylinder.

[tex]\pi (\frac{11}{\pi } )^{2} h=539\\\pi (\frac{121}{\pi ^{2} } )h=539[/tex]

Now, we will cancel [tex]\pi[/tex] from the numerator and denominator.

[tex](\frac{121}{\pi } )h=539\\h = \frac{539}{\frac{121}{\pi } } \\h = 539 * \frac{\pi }{121} \\h = 13.994cm(5s.f)[/tex]

Answer:

Aproximated height is:

14 cm

Step-by-step explanation:

volume of a cylinder = л r² h

л = 3.1416 (aprox)

r = radius

h = height

r = circunference/2л

r = 22/(2*3.1416)

r = 3.5    (aprox)

then volume is:

539 = 3.1416 * 3.5² * h

539 = 3.1416 * 12.25 * h

539 = 38.5 * h

h = 539/38.5

h = 14 cm     (aprox)

The line AB is shown on the grid.
a) Find the gradient of a line
perpendicular to AB.
b) Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.
X

Answers

a) The gradient of a line perpendicular to AB is -2.

b) equation of line is y=-2x+6

What is gradient?

The gradient is the measure of the steepness of a straight line.

a)The gradient of line is

=(-2-2)/(7+1)

=-4/8

=-1/2

So, gradient of a line perpendicular to AB is  -2

b)The coordinates of mid point (3, 0)

m = -2

So,

0= -6+ b

b= 6

So, equation of line is y=-2x+6

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A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept
form.

Answers

Answer: y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

    Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.

    We are given the slope, so we will plug this in.

y = mx + b

y = ([tex]\frac{1}{4}[/tex])x + b

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = ([tex]\frac{1}{4}[/tex])x + b

(-2) = ([tex]\frac{1}{4}[/tex])(5) + b

-2 = 1.25 + b

-3 [tex]\frac{1}{4}[/tex] = b

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]

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the answer is y = 1/4x + 0.75

Evaluate.
5a for a = 15

Answers

If a= 15 then 5a would be 5x15=75

Answer 75

Answer:  75

Step-by-step explanation:

5a = 5(15) = 75

4x^2-3x+4 What is the value of the expression below when x = 5?

NEED ANSWER PLEASE!

Answers

Answer:

89

Step-by-step explanation:

To find the value of the

Quadratic expression

when x = 5 we substitute x = 5 into the expression.

4x^2 - 3x + 4

putting x = 5

4(5)^2 - 3(5) + 4

4(25) - 15 + 4

100 - 11 = 89

Find the perimeter and area of the following composite figure. GEOMETRY!! HELPPP PLS

Answers

Answer:

perimeter=80 area=252

Step-by-step explanation:

The perimeter is the total length of the boundary of the shape added together: 12+20+12+8+20+8=80

The area is the value of the space inside the shape: the rectangle would be 20*9=180 plus the two triangles: (8*9)/2 = 36 180+72=252

Answer:

p=80 a=252

Step-by-step explanation:

Add all side lengths to get the perimeter.

20+12+12+8+20+8=80

Perimeter is 80

Area of a trapezoid is average of parallel lines*height

((20+36)/2)*9=252

Area=252

I need help asappp please, I attached a image​

Answers

Answer:

Just look at the other answer

Step-by-step explanation:

A marble is selected from a bag containing eight marbles numbered 1 to 8. The number on the marble selected will be recorded as the outcome. Consider the following events. Event A : The marble selected has an even number. Event B : The marble selected has a number greater than 3. Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas.

Answers

Answer:

Event A: 1/2

Event B: 5/8

The question is in the photo

Answers

Answer:

Answer is in the photo

Step-by-step explanation:

The formula for multiplying two numbers with same base but different exponents is

a^m×a^n= a^(m+n)

write the linear inequality shown in the graph the gray represents the shaded region

Answers

Y>-2/3+1.7
1.7 is an estimate and there should be the line under the greater than sign

Solve 7x = 54.






Pls help

Answers

Answer:

x= 54/7

Step-by-step explanation:

x= 54/7

Answer:

x = 54/7

Step-by-step explanation:

7x = 54

Divide both sides by seven (7)

7x/7 = 54/7

7 cancel out 7

x = 54/7

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