If m21 = 80°, then m22 is:
60°
80°
100°
None of these choices are correct.

Answer:

a ≈ 3.009075116

Step-by-step explanation:

cos(α) = adj/hyp

cos(53°) = a/5

a = 5 * cos(53°)

a ≈ 3.009075116

Answer:

The interest earned is $10.00

Step-by-step explanation:

Interest = principal x rate x time

I= 100(.01)(10)

I = 10

Answer:

[tex] \sf \: x = 25[/tex]

Step-by-step explanation:

Given equation,

→ (x - 7)2 = 36

Now the value of x will be,

→ 2(x - 7) = 36

→ (2 × x) - (2 × 7) = 36

→ 2x - 14 = 36

→ 2x = 36 + 14

→ 2x = 50

→ x = 50/2

→ [ x = 25 ]

Hence, the value of x is 25.

Answer:

x = 25

Step-by-step explanation:

(x-7)2 = 36

divide both sides by 2

x-7 = 18

add 7 to both sides

x = 25

The percentage of those that don't travel by car will be 44%.

It's important to note that a percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, 14 students travel by car and 11 don't travel by car. The total number of students will be:

= 11 + 14.

= 25

Therefore, the percentage of those that don't travel by car will be:

= 11 / 25 × 100

= 44%

The percentage is 44%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Using a ruler and compass, draw a line through point A parallel to line PQ by first drawing a line segment from A to any point on PQ. Then, use the compass to draw an arc from the other end of the line segment to the other point on PQ. Finally, use the ruler to draw a line through the arc, parallel to PQ.

Drawing a line parallel to an existing line can be done using a ruler and compass. First, draw a line segment from point A to any point on line PQ. Then, use the compass to draw an arc from the other end of the line segment to the other point on PQ. This arc should intersect with the first line segment. Finally, use the ruler to draw a line through the arc, parallel to PQ. This line will be parallel to PQ since it is the same distance from each point on the original line. The use of the compass ensures that the resulting line is the same distance away from the original line throughout, thus resulting in a line parallel to PQ.

Learn more about line segment here

https://brainly.com/question/30072605

#SPJ4

If the function f(x) = |x-5| + 2, then the value of f(3) is 4

The function

f(x) = |x-5| + 2

The function is defined as the mathematical statement that shows the relationship between the independent variable and the dependent variable. The function consist of different variables, numbers and mathematical operators

Here the function consist of the absolute value symbol.

|-a| = a

The absolute value of the positive and the negative number will be always positive.

The function is f(x) = |x-5| + 2

Then,

f(3) = |3-5| + 2

= |-2| + 2

= 2 + 2

= 4

Therefore, the value of f(3) is 4

I have answered the question in general, as the given question is incomplete

The complete question is:

If f(x)=|x−5| + 2, find the value of f(3).

Learn more about function here

brainly.com/question/14364803

#SPJ4

Random sampling methods of assigning probabilities is used when we are dealing with sampling.

Random sampling is a method of assigning probabilities used when dealing with samples of a population. It involves randomly selecting a sample from the population and then using that sample to estimate the probabilities of different outcomes. This is done by calculating the proportion of the sample that falls into each category. For example, if you are trying to determine the probability of a certain outcome, you would randomly select a sample from the population and then count how many of the individuals in the sample fall into that category. The probability of the outcome would then be calculated by dividing the number of individuals in that category by the total number of individuals in the sample.

Learn more about sample here

https://brainly.com/question/25894237

#SPJ4

The height increases by 0.48  meters each year.

The available regression equation is: Predict height= 0.29 + 0.48 (age).

Here, the predict height is dependent variable and the  age is in-dependent variable.

Intercept = 0.29

Slope      = 0.48

The given regression equation indicates the y on x model and the intercept coefficients of the regression equation is 0.29 and the slope is 0.48.

The height increases, an average, by 0.48 m per year.

Because co-efficient of slope variable indicate the positive sign and we increase 1 year in age then automatically height increased is 0.48 m.

The height increases, on average, by 0.48 meter each year.

To learn more about regression visit:

brainly.com/question/14313391

#SPJ4

The available regression equation is: Predict height= 0.29 + 0.48 (age).

Here, the predict height is dependent variable and the  age is in-dependent variable.

Intercept = 0.29

Slope      = 0.48

The given regression equation indicates the y on x model and the intercept coefficients of the regression equation is 0.29 and the slope is 0.48.

Answer:

2 < x < 26

Step-by-step explanation:

The length of the side of a triangle must be less than the sum of the lengths of the other two sides of a triangle.
Therefore:

12+14>x

x<26

However, the following must also be true:

x+12>14 (The sum of x and 14 will always be greater than 12 because 14>12, so we don’t need to include that in the inequality)

So, x>2.
This means that the answer is 2<x<26

Answer:

9 $50 bills and 6 $20 bills

Step-by-step explanation:

Let f = number of $50 bills.

Let t = number of $20 bills.

f + t = 15

50f + 20t = 570

f = 15 - t

50(15 - t) + 20t = 570

750 - 50t + 20t = 570

-30t = -180

t = 6

f + t = 15

f + 6 = 15

f = 9

Answer: 9 $50 bills and 6 $20 bills

Answer: no solution

Step-by-step explanation:

1. distribute through both sides to get 3x-6+1 ≥ x+2x+4

2. then combine like terms to get 3x-5 ≥ 3x+4

3. then make sure like terms are together on either side -> 3x -3x ≥ 4+5 ->

4. since the 3x-3x = 0, there are no solutions

Answer:

Step-by-step explanation:

a because if you divide  everything under the fraction number you get answer a

The solution for the given expression is x = 4³/₅. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is x - 17⁴/₅ = -13¹/₅. The given expression will be solved as,

x - 17⁴/₅ = -13¹/₅

x = 17⁴/₅ -13¹/₅

x = 89 / 5 - 66 / 5

x = 23 / 5

x = 4³/₅

The expression will be equivalent to x = 4³/₅.

To know more about an expression follow

https://brainly.com/question/26628182

#SPJ2

Answer: x = 2 hours y= 7 hours = 9 hours a week, 80$ a week

Step-by-step explanation:

5$x2=10$   10$x7=70$ 70$ + 10$ = 80 $.

hopefully, maybe that helps for the first question.

confidence level to be about 1.5%. Then the survey would you recommend is 1537

The first thing is to apply the corresponding formula of this case, it is the calculation of a sample size without knowing the population. The equation is as follows, let n be the sample size:

n = (z * s / E) ^ 2

We know that z the corresponding z score of 95% of the confidence level, that this case is 1.96.

s, is the standard deviation and has a heat of 10.

Finally E, would be the error that is 0.5.

Now it's just replace in the formula:

n = (1.96 * 10 / 0.5) ^ 2 = 1536.64, that is approximately the sample must be 1537.

learn more about of margin error here

https://brainly.com/question/14970488

#SPJ4

Answer:

You buy the following from Walmart:

1 puzzle for $8, 1 TV for $350, 1 cutting board for $9, and 1 blender for $25

You have a 10% off coupon,  

What is the new Subtotal:

Sales tax is 5%: $

What is the total:

Step-by-step explanation:

Answer: They lose $250000 per year over the three years!

Step-by-step explanation:

First, find the total profit for the two following years

Take $625000 times 2 = $1250000

Next, find the total they made in 3 years

Take -$2000000 of the first year + $1250000 = - $750000

Now we find their average profit per year

Take -$750000 divided by 3 = -$250000

They lose $250000 per year over the three years

The solution to the inequality statement is x < 3/16

From the question, we have the following parameters that can be used in our computation:

negative one eighth is less than the product of negative two thirds and a number.

Express as numbers and operators

So, we have

-1/8 < -2/3x

Divide both sides by -2/3

So, we have the following representation

1/8* 3/2 > x

Evaluate the produdts

3/16 > x

Rewrite as

x < 3/16

Hence, the solution is x < 3/16

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Area of the walk that goea around the rectangular yard is 680 sq. ft.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms since their opposite sides are equal and parallel.

The rectangle's characteristics are listed below:

Dimension of the yard is

width = 40 ft

length = 53ft

Dimension of the yard without the walkway is

Width =40 - 4*2 = 40 - 8 = 32 ft

Length = 53 - 4*2 = 53 - 8 = 45 ft

Area of the yard = Width * Length = 40 * 53 = 2120 sq. ft

Area of the yard wtihout the walk = 32 * 45 = 1440 sq. ft

Therefore the area of the walk is = Area of yard - Area of yard without walk = 2120 = 1440 = 680 sq. ft.

To learn more about Rectangular Area refer to :

https://brainly.com/question/4525479

#SPJ1

Answer:

Step-by-step explanation:

She could order 7 boxes. if each box has 32 flowers, then you would multiply 6 by 32 which is 192. If you subtract 218 from 192 you get 26. meaning that if she orders 6 boxes of 32 flowers then she would only have 192 flowers and there would be 26 flowers remaining, so then it's better for her to order 7 boxes it's better to have more than what she wants instead of having less than what she wants... that way she is able to plant 218 flowers even if there are some left.

Answer:

12.9 or 12 9/10

Step-by-step explanation:

4 3/10 or 4.3 x 3

12.9 or 12 9/10

The probability sum of the dice is 2/11.

Let A be the event that the sum of dots is 5, then

A={(1,4), (2,3), (3,2), (4,1)}

n(A)=4

And, B is the event that one die shows a "one"

B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}

n(B)=11

The Event that some of the dots are five and one of the die shows "one".

A intersection B = {(1,4), (4,1)}

Since n(A) = 36 (thirty-six possible samples of two dice)

P(A)=4/36

P(B)=11/36

P(A intersection B)=2/36

So, the required probability is

P(A|B)=P(A intersection B)/P(B) =2/11

Know more about probability at:

https://brainly.com/question/24756209

#SPJ4

Answer:

Hey, answer is attached.

Step-by-step explanation:

Hope this helps.

To determine the input number, we can use the following steps:

Calculate the change in the input number as a percentage of the input number. In this case, the input number decreased by 15%, so the change is -0.15 * input number.

Add the change to the output number to find the input number. In this case, the output number is 50, so the input number is 50 + (-0.15 * input number).

Solve for the input number. In this case, we can solve for the input number by rearranging the equation and solving for x:

input number = 50 / (1 - 0.15)

input number = 50 / 0.85

input number = 58.82

Therefore, the input number is 58.82.

Note that this process can also be used to determine the output number given the input number and the percentage change. For example, if the input number is 100 and it increases by 85%, the output number would be:

output number = 100 * (1 + 0.85)

output number = 100 * 1.85

output number = 185

Answer:

[tex]x \times \frac{85}{100} \times \frac{185}{100} = 50[/tex]

[tex]x = 50 \times \frac{ {100}^{2} }{85 \times 185} [/tex]

[tex]31.8[/tex]

it seems to be a long number so I rounded

There might be a mistake because I wasn't able to check.

Answer:

x = 3

Step-by-step explanation:

4 + x = 7  Subtract 4 from both sides of the equation

4 - 4 - x = 7 - 4  Simplify

x = 3  X equals 3

Answer:

x = 3

Step-by-step explanation:

4 + x = 7

x + 4 - 4 = 7-4 = 3

x = 3

To solve for x, subtract 4 from both side of the equation.  This leaves x by itself on the left side of the equation.  Next subtract 4 from 7 to get the solution, x = 3.

The coordinate of the vertex B after the transformation of the given trapezoid is (-2, 2).

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

As per the given graph, the coordinate of vertex B is (-5, 4).

After the translation (x, y) → (x + 3, y - 2), the new coordinate can be obtained as,

(-5, 4) → (-5 + 3, 4 - 2)

⇒ (-2, 2)

Hence, the coordinate of B after the transformation is (-2, 2).

To know more about transformation of graph click on,

https://brainly.com/question/10059147

#SPJ1

The range of the function f(x) = |x| + 7 is given by the option presented as follows:

7 ≤ y < ∞.

The range is composed by the set containing all the values assumed by the output of the function, that is, all the numeric values assumed by the function.

In the context of this problem, the function is defined as follows:

f(x) = |x| + 7.

The parent function is the absolute value function g(x) = |x|, which gives the distance of a point x from the origin, assuming real values of at least 0, as a distance cannot be negative.

The addition by 7 means that the parent function was translated up seven units, meaning that the minimum value assumed by the range is seven, and the range of the function is given by the last option given as follows:

7 ≤ y < ∞.

More can be learned about the domain and range of functions at brainly.com/question/2264373

#SPJ1

Answer:

See the picture below

Step-by-step explanation:

You start from the center given (-7,-6),  then count how many spaces from the center to that point.  Take that number and triple it to find the new point.  I drew lines so that you could see the path of two of the points.  

The path that I did not draw was from the point (-3,-2).  If you start at (-7,-6) you will have to move 4 spaces to the right and 4 spaces up to get to (-3,-2)  Now triple that.  You will move 12 spaces to the right and 12 spaces up for the new point of (5,6)

The proportion of people who never had a cavity is 0.92.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  8% of adults have never had a cavity. A dental graduate student contacts an srs of 1000 adults.

8% of 1000 is,

= (8/100)×1000.

= 80.

Now, The proportion of people who never had a cavity is (1000 - 80)/100.

= 920/1000.

= 92/100.

= 0.92 proportion of people never had a cavity.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

The equation of the line is y = -3x + 2.

What is the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are represented by Δy and Δx, respectively.

As a result, m = change in y/change in x = Δy/Δx is the formula for the change in y-coordinate with respect to the change in x-coordinate.

where "m" represents a line's slope.

Given that, the line passes through the point (-1,5) with slope of -3.

The equation of line passes through (x₁, y₁) with slope m is

y -  y₁ = m(x - x₁)

Putting x₁ = -1, y₁ = 5 and m = -3.

y - 5 = -3(x - (-1))

y - 5 = -3x - 3

y = -3x  + 2

To learn more about equation of line, click on below link:

https://brainly.com/question/29555862

#SPJ4

Answer:   The written description of x - 14 is given as the difference of variable x and integer 14 gives x -14.

Step-by-step explanation:

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Let x be a variable,

And 14 is an integer.

By using mathematical operations,

The difference of x and 14 can be given as,

x - 14.