Need help solving this problem

Answer:

h=5

Step-by-step explanation:

Substituting in 92 for s,
92=4lw+2wh
Substituting in 9 for l,
92=4(9)(w)+2wh

Substituting 2 for w,

92=4(9)(2)+2(2)(h)

Simplifying by multiplying terms

92=72+4h

Subtract 72 on both sides

20=4h

Divide by 4 on both sides

5=h

Answer: Let's start by using algebra to represent the problem.

Let X be the amount of money that Kyle started with.

Then we can create the following equations:

And we know that he's out of money, so:

Substitute the first equation into the second equation to get:

Substitute the first two equations into the third equation to get:

Substitute all three equations into the fourth equation to get:

(0.5X + 36.50) + (0.25X + 9.25) + (0.25X + 4.75) = X

Simplify and solve for X:

Therefore, Kyle started with $101.

1. The coordinates of the vertices of the preimage in the first column of the table are; (2, 2), (-1, 2) (-1, 1) (-2, 1) (-2, -2) (1, -2) (1, -1) (2, -1).

2. The scale factor for the dilation is 3

3. The coordinates for the image are,  (6,6) (-3, 6) (-3, 3) (-6, 3)(-6, -6) (3, -6) (3, -3)(6, -3)

4. The sketch has been attached below;

5. The dilation multiplies the length of line segments by the scale factor.

6. The dilation did not affect the angle measures. The angles in the image are the same as the angles in the preimage.

To calculate the scale factor for the dilation, we look at what has been provided (x, y) → (3x, 3y)

x =1 x2 = 3

1 multiplied by what will give us 3

1×? = 3

1/1 = 3/1 = 3

If we multiply 3 to every vertices of the preimage, we will find the coordinated of the image.

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Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

Here, we have,

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Draw an arc using the vertex of the angle (O) as the center;

Mark the points A and B;

Draw an arc using the point (A) as the center;

Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step.

Draw a line connecting the point C to the vertex O.

Finally, you have the bisector of the angle that is represented by the green line.

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The comparison data is shown below.

Based on the information provided, we can infer that:

Without more information about the specific data and the context of the study, it is difficult to make further comparisons or draw any conclusions about the relationship between completing homework and exam scores. However, it is interesting to note that completing homework did not seem to have an impact on the average exam score or the variability of exam scores.

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Answer:

To calculate the surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C/2π = 513.88/(2 x 3.14) = 81.91 yards

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius. We can use this formula to find the area of one of the circular bases:

B = πr^2 = 3.14 x 81.91^2 = 21,237.93 square yards

The formula for the lateral surface area of a cylinder is:

P x h

where P is the perimeter of the base and h is the height. We can use the formula for the circumference to find the perimeter of the base:

P = C = 513.88 yards

Now we can calculate the lateral surface area:

L = P x h = 513.88 x 11 = 5,652.68 square yards

Finally, we can use the formula for the surface area of a cylinder:

SA = 2B + L = 2(21,237.93) + 5,652.68 = 48,128.54 square yards

Therefore, the surface area of the cylinder is approximately 48,128.54 square yards when rounded to the nearest hundredth.

The length of the square with a diagonal of 32 cm is 22.6 cm.

A square is a plane shape with all sides and angles equal.

To calculate the length of the square from its diagonal, we use Pythagoras formula

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for l

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The equation is not a quadratic equation. Statement is false.

A second-order polynomial equation with just one variable, x, is referred to as a quadratic equation. with a ≠ 0 . The fundamental theorem of algebra guarantees that it has at least one solution since it is a second-order polynomial equation. The arrangement might be genuine or complex.

This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5 and the y-intercept is 2. A quadratic equation is an equation in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

Thus, given equation is not a quadratic equation. Statement is false.

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Answer:

36

Step-by-step explanation:

First you calculate the area of the rectangle. then you substract the area of the triangle.

The area of a rectangle is equal to the product of its length and breadth. In other words, if the length of a rectangle is ‘l’ and its breadth is ‘b’, then its area ‘A’ can be calculated as A = l x b= 6*8= 48

The area of a triangle can be calculated using the formula A = 0.5 x b x h where ‘b’ is the length of the base of the triangle and ‘h’ is its height. so A =0.5*8*3 = 12

Area of the figure = 48-12=36

Answer:

S = 2π(10^2) + 2π(10)(3)

= (200 + 60)π = 260π cm^2

So 250 cm^2 is not a reasonable answer for the surface area of this cylinder.

An equation that models the eggs used by LaNiyah is 2b + 6s = 144.

An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.

Equations contain the equal symbol (=), unlike mathematical expressions that combine variables with numbers, and constants using mathematical operands only.

The number of eggs used to make brownies per unit = 2

The number of eggs used to make cakes per unit = 3

The number of eggs used to make soufflés per unit = 6

The total number of eggs used = 144

Let the total number of brownies made = b

Let the total number of soufflés made = s

2b + 6s = 144

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Answer:

d=23,000-500u

Step-by-step explanation:

im doing the test

Answer:

{3, 6, 9, 12, 15}

Each of these numbers is divisible by 3

Step-by-step explanation:

The distance from town A that they will be,  when they will pass each other is  44 4/9 .

It should be noted that time traveled in each segment is constant, which implies that in this case the average speed can be regarded as the simple mean of speeds. An in the case whereby the distance traveled in each segment is constant, average speed can be described to be the reciprocal of simple mean .

This can be expressed mathematically as

Average speed = Reciprocal [ 1/40 & 1/50].

Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of [(5+4)/400]

= 44 4/9 .

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The speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.

We are given the speed of a plane on a bearing of N [tex]75^\circ[/tex] E and its ground speed. We have to find its speed in miles per hour and the direction angle in degrees. We will apply the formula of projection for both the x-axis and y-axis.

As we know, projection, R = V + W

Now, the x-axis projection will be R cos[tex]15^\circ[/tex] according to the angle given to us. Therefore, R cos [tex]15^\circ[/tex] = V cos[tex]30^\circ[/tex] + [tex]W_{x}[/tex]

The y-axis projection,

R sin [tex]15^\circ[/tex] = V sin [tex]30^\circ[/tex] + [tex]W_{y}[/tex]

From here, now we will find [tex]W_{x}{[/tex] and [tex]W_{y}[/tex]

[tex]W_{x}{[/tex] = 330 cos[tex]15^\circ[/tex] - 390 cos[tex]30^\circ[/tex]

[tex]W_{x}[/tex] = -19 miles/hour

[tex]W_{y}[/tex] = 330 sin[tex]15^\circ[/tex] - 390 sin[tex]30^\circ[/tex]

[tex]W_{y}{[/tex] = -109.6 miles per hour

Now, W = [tex]\sqrt{(W_{x})^{2} + (W_{y})^{2{}}[/tex]

W = [tex]\sqrt{(-19.0)^{2} + (-109.6})^{2{}}[/tex]

W = 111.2 miles/hour

Now, we will find the angle with the help of tan θ.

tan θ = [tex]\frac{W_{y}}{W_{x}}[/tex]

tan θ = [tex]\frac{-109.6}{-19.0}[/tex]

θ =  [tex]tan ^{-1} (\frac{109.6}{19.0})[/tex]

θ = 260.[tex]2^\circ[/tex]

Therefore, the speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.

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Answer:

The walking distance that is saved by cutting across the lot is approximately 18 feet.

The percentage of time that the machine will dispense from 7. 5 oz to 7. 9 oz is 62.47% of the time.

Find the Z-scores for both 7. 5 oz and 7. 9 oz :

Z = ( X - μ ) / σ

For 7. 5 oz :

Z = ( 7.5 - 7.6 ) / 0.2

Z = -0. 1 / 0. 2

Z = -0. 5

For 7.9 oz:

Z =  (7. 9 - 7.6 ) / 0.2

Z = 0. 3 / 0. 2

Z = 1. 5

Using the z - values from the table, the percentage of time is:

0.9332 - 0.3085 = 0.6247

= 62. 47 %

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The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of $25,200  for Celluloid Collar Corporation’s carryforward alone.

The value of Celluloid Collar Corporation's tax loss when it is said to be carryforward to Bowstring Shirt Company will be be calculated  using the steps below

Value = Tax Loss Carryforward x Tax Rate

Value = $120,000 x 21%

        = $25,200

Therefore, Bowstring Shirt Company have to pay $25,200 for Celluloid Collar Corporation's tax loss to  be carryforward.

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Answer:

The mean absolute deviation of 8,2,7,8,6,10,2,1,10,6 is 2.24.

To calculate the mean absolute deviation, we first need to find the mean of the data set. The mean is the sum of all the values in the data set divided by the number of values. In this case, the mean is 7.

Once we have the mean, we can find the mean absolute deviation by finding the absolute value of the difference between each value in the data set and the mean. For example, the absolute value of the difference between 8 and 7 is 1. We then add up all of the absolute values and divide by the number of values in the data set. In this case, the mean absolute deviation is 2.24.

Here is the formula for the mean absolute deviation:

```

MAD = (|x1 - μ| + |x2 - μ| + ... + |xn - μ|) / n

```

Where:

* MAD is the mean absolute deviation

* x1, x2, ..., xn are the values in the data set

* μ is the mean of the data set

* n is the number of values in the data set

Step-by-step explanation:

The confidence interval is 0.52±0.067.(option c)

What is confidence interval?

In statistics,  confidence interval means that the probability in which a population parameter will fall between a set of values for a certain proportion of times.

A political pollster wants to know what proportion of voters are planning to

vote for the incumbent candidate in an upcoming election. A poll of 150

randomly selected voters is taken from the more than 2,000 voters in the

population, and 78 of those selected plan to vote for the incumbent

candidate.

The formula for confidence interval(CI) is given by:

                      CI=  p ± z √{p(1-p)/n} ----------------(1)

Here from the given data p= 78/150= 0.52

                                          n= 150

For 90% confidence interval the value of z= 1.645.

Putting all the values in equation (1) we get,

                         CI= 0.52± 1.645√{(0.52×0.48)/150}

                             = 0.52±1.645×0.04

                             = 0.52±0.067

Hence, the confidence interval is 0.52±0.067.

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Answer: ⬇️

Step-by-step explanation:

Given, u=(2,4,−5) and v=(1,−6,9).Now,3u−5v=3(2,4,−5)−5(1,−6,9)=(1,42,−60).

Answer:

5.5.5.5.5.5.5.5.5 in exponential notation is 5^9

7.7.7.7.7.7.7.7.7.7.7.7.7.7 in exponential notation is 7^13

Therefore, (5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7) in exponential notation is:

5^9 * 7^13

The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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Answer:

No, i do not believe i have learned this yet so good luck bestiee

Next, using the matching x and y values for each row of the table, we can place a point for each row and connect it to the other points using a line.

A line represents a one-dimensional straight figure that can go on forever in both directions in geometry. To separate it from a curved or an angle-filled line, it is frequently referred to as a "straight line." Two points on a line define the line, while every other position on the line may be discovered by tracing the line through the two defined points. A line can be made with a pencils or another non-thick tool, and it can have any width or depth. Shape and figures are described and analysed using lines, which are a basic building block of geometry.

given

Minutes Taught Dollars Earned (30, 12, 60, 24)

90 36

120 48

We may plot the minutes taught on the x-axis and the money made on the y-axis to graph the data from the table.

Next, using the matching x and y values for each row of the table, we can place a point for each row and connect it to the other points using a line.

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The function that is even is f(x) = 6x² - 8.

option C.

An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.

The function that is even is calculated as follows;

f(x) = 5x² - x

f(-x) = 5(-x)² - (-x)

f(-x) = 5x² + x

f(x) ≠ f(-x)

f(x) = 3x³ + x

f(-x) = 3(-x)³ + (-x)

f(-x) = -3x³ - x

f(x) ≠ f(-x)

f(x) = 6x² - 8

f(-x) = 6(-x)² - 8

f(-x) = 6x² - 8

so f(x) = f(-x), this function is even.

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