Sylvia’s car trunk measures 4.25 ft wide by 4 ft deep and 4 1 thirdft high. she has cubic boxes 16 inches wide and smaller rectangular boxes 3 inches wide by 6 inches long and 4 inches high. she has to get as many of the large boxes into her trunk as she can, and after that, she can fill the space up with the smaller boxes. how many large and small boxes can she fit into her trunk?

The height of the building is approximately 86.60 meters.

To find the height of the building, we can use trigonometric ratios, specifically the tangent function.

In this scenario, the angle of elevation is 60 degrees, and the distance from the foot of the building to the point where the angle is measured is 50 meters.

Let's denote the height of the building as 'h'. According to trigonometry, the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case, the opposite side is the height of the building (h), and the adjacent side is the distance from the foot of the building (50 meters).

Using the tangent function, we have:

tan(60 degrees) = h/50

Simplifying this equation, we can solve for h:

h = 50 × tan(60 degrees)

Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.

Therefore, h = 50 × 1.732 ≈ 86.60 meters.

For more questions on height

https://brainly.com/question/31485233
#SPJ8

Since the null hypothesis was not rejected, there is not enough evidence to conclude that under 46% of the residents favor construction of an adjoining bridge.

There are two decisions possible regarding the null hypothesis, as follows;

The hypothesis are given as follows:

The null hypothesis was not rejected, meaning that the conclusion regarding the mayor's claim is that there is not enough evidence from the sample of 190 voters to conclude that the percentage is below 46%.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

The values: y - 2 = 4 * (x - 5) Now, set x = 0 and solve for y: y - 2 = 4 * (0 - 5) y - 2 = -20 y = -18 So, the point where the line crosses the vertical axis is (0, -18).

To find the point where the line through (5, 2) with slope 4 crosses the vertical axis, we first need to use the given formula to find the equation of the line.

Using the point-slope form of a line, we have:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point (5, 2).

Plugging in m = 4 and (x1, y1) = (5, 2), we get:

y - 2 = 4(x - 5)

Simplifying, we get:

y = 4x - 18

To find the point where this line crosses the vertical axis, we set x = 0 and solve for y:

y = 4(0) - 18

y = -18

So the point where the line crosses the vertical axis is (0, -18).

Therefore, the answer is (x, y) = (0, -18).

To summarize, we used the given formula to calculate the equation of the line through (5, 2) with slope 4, and then found the point where this line crosses the vertical axis by setting x = 0 and solving for y.

Learn more about axis here:

https://brainly.com/question/2491015

#SPJ11

Answer:

Take a fixed gap and draw 180 degree arc of equal size on each side.

The compass size should be the same for the whole process, be careful.

Make 90 degrees angle for both side and cross two arcs from each 90 degrees. The point thus obtained should be produced vertically towards the line AB. The point on the line segment is the line bisector.

Answer:

120

Step-by-step explanation:

90÷6=15×8=120

A "heads" flip with a spinning "C" has a 0.125 or 12.5% chance of happening.

The chance of spinning "C" is 1/4, or 0.25, if the spinner is fair and has four parts of equal size.

The chance of flipping "heads" is half, or 0.5, if the coin is fair. We multiply the individual probabilities in order to get the likelihood that both occurrences will occur:

P = (Probability of spinning "C") (Probability of flipping "heads")

P = 0.25 × 0.5

P = 0.125

The probability is 0.125 as a result.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

-9

Step-by-step explanation:

I hope this helps!

Answer:

-9

Step-by-step explanation:

Please make me Brainliest

Answer:

187 people

Step-by-step explanation:

5 to 6 is the same as 5/6. 5 is the men and 6 is the women. We know that there are 102 women so we can arrange this equation.

\(\frac{5}{6}\)  = \(\frac{x}{102}\)

Re-arrange the equation to find x, or the number of men in the company.

\(\frac{(102*5)}{6}\) = x

x = 82

We have found the number of men in the company. Now add the number of men and women.

102 + 82 = 187

187 total people!

Answer: 187 employees

Step-by-step explanation:

ratio of men to women: 5:6

number women working for company: 102

to work out the number of men working for the company, you must first find out what you have to multiply 6 by to get to 102

therefore you do 102/6 which is 17

now you do 17x5 to work out how many men are working for the company which is 85

total number of employees: 102+85=187

Step-by-step explanation:

The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:

\( \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } \)

Use 2.5th and 97.5th percentile of these values.

Bootstrapping, which is a type of test or metric that mimics the sampling process by using random sampling with replacement, belongs to the larger category of resampling techniques. With bootstrapping, sample estimates are given accuracy ratings such as bias, variance, confidence intervals, prediction error, etc.

A random sample with replacement from the original sample must be taken thousands of times in order to determine the 95% confidence interval for the population standard deviation. You calculate the sample standard deviation from each fresh sample. From the values of the 2.5th and the 97.5th percentile of these data, we can use the bootstrap method to determine the 95% confidence interval for the population standard deviation.

So we need to use 2.5th and the 97.5th percentile of these values.

Learn more about percentile here:

brainly.com/question/2263719

#SPJ4

When analyzing a set of data, if the results support a hypothesis, it does not prove the hypothesis is true. It merely provides evidence in support of the hypothesis. There are numerous reasons why a hypothesis might be supported, but that doesn't mean it is universally true.

After analyzing a set of data, if the results are inconsistent with a hypothesis, it does not prove the hypothesis is false. It merely implies that the hypothesis is not supported by the data. A hypothesis might still be correct even if the data does not support it.

Hypothesis testing is a method of scientific inquiry that compares two hypotheses using empirical data. The goal of hypothesis testing is to decide which hypothesis is more likely to be correct based on the available evidence.

It is a critical component of the scientific method because it allows researchers to verify or reject hypotheses in a rigorous and systematic manner.

To know more about hypothesis refer to-

brainly.com/question/29519577#
#SPJ11

Answer:

x = 6

Step-by-step explanation:

9+3 = (4x+2x)/3

12 = 6x/3

(12)(3) = 6x

36 = 6x

36/6 = x

6 = x

Answer:

A

Step-by-step explanation:

False, the statement is false. The range of values that correlation coefficients can take is limited to -1 to 1, representing the strength and direction of the linear relationship between variables.

The range of values that correlation coefficients can take is from -1 to 1. A correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The correlation coefficient cannot go beyond these limits because it represents the degree of linear association between the variables.

For example, if we have two variables, X and Y, and their correlation coefficient is calculated as 0.75, it means there is a strong positive linear relationship between X and Y. If the correlation coefficient were to be outside the range of -1 to 1, it would imply a nonlinear relationship, which is not captured by the correlation coefficient.

the statement is false. The range of values that correlation coefficients can take is limited to -1 to 1, representing the strength and direction of the linear relationship between variables.

To know more about correlation coefficients follow the link:

https://brainly.com/question/4219149

#SPJ11

The measure of the smaller interior angle is approximately 144 degrees.

The measure of the larger interior angle is 36 degrees.

Let's denote the measure of the smaller interior angle as x.

According to the given information, the measure of one interior angle (let's call it y) is 0.25 times the measure of the smaller angle. Therefore, we can write the equation:

y = 0.25x

Since a parallelogram has opposite angles congruent, we know that the sum of the measures of the smaller and larger angles is 180 degrees. Hence, we can write another equation:

x + y = 180

Substituting the value of y from the first equation into the second equation, we have:

x + 0.25x = 180

Combining like terms:

1.25x = 180

To find the measure of the smaller angle (x), we divide both sides of the equation by 1.25:

x = 180 / 1.25

x ≈ 144

Therefore, the measure of the smaller interior angle is approximately 144 degrees.

To find the measure of the larger interior angle, we substitute the value of x into the equation:

y = 0.25x

y = 0.25 * 144

y = 36

Hence, the measure of the larger interior angle is 36 degrees.

Learn more about interior angle here

https://brainly.com/question/12834063

#SPJ11

Answer:

x=4 i did math

Step-by-step explanation:

Answer: its B because an inequality is where you have a reater thn or less than sign

Step-by-step explanation:

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

Learn more about parallelogram at: https://brainly.com/question/10744696

#SPJ1

Answer:

x= 23

Step-by-step explanation:

\(8x - 77 = 3x + 38 \\ 8x = 3x + 115 \\ 5x = 115 \\ x = 23\)

The answer is 65

...............

Answer:

True.

Step-by-step explanation:

In this true or false question, the answer is true.

Hope this helps!

Answer:

False

Step-by-step explanation:

Not every function in a rectangular plane will be a function in every plane. Hope this helps

The zeros for the function f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2.

To find the zeros of the function f(x), we set each factor equal to zero and solve for x. Therefore, we have x = 0, x = 4, and x = -2 as the zeros.

The end behavior of the function can be determined by analyzing the highest power of x in the equation, which is x^6. Since the power of x is even, the graph of the function is symmetric about the y-axis.

As x approaches positive infinity, the value of x^6 increases without bound, resulting in f(x) approaching positive infinity.

Similarly, as x approaches negative infinity, x^6 also increases without bound, leading to f(x) approaching positive infinity.

In summary, the zeros for f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2. The end behavior of the function is that as x approaches positive or negative infinity, f(x) approaches positive infinity.

for such more questions on function

https://brainly.com/question/11624077

#SPJ8

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

For more questions like P-value  click the link below:

https://brainly.com/question/15874800

#SPJ4

The composite transformation of a 180° rotation about the origin and a translation of (x, y) ⇒ (x - 1, y + 1), of the segment \(\overline{XY}\) with endpoints X(-3, 1) and Y(4, 5), produces the attached graph of the segment \(\overline{X''Y''}\) with endpoints X''(2, 0) and Y''(-5, 6).

A translation is a term used to describe the rotation, dilation, reflection and or translation manipulation of a line, point, or geometric figure.

The specified endpoints of the graph are; X(-3, 1) and Y(4, -5)

The graph of \(\overline{XY}\) can be created using MS Excel as shown in the attached graph of the segment \(\overline{XY}\)

The location of the image of a point (x, y), following a rotation of 180° about the origin is the point produces the image at the point (-x, -y)

The coordinates of the endpoints of \(\overline{XY}\) following a rotation of 180° about the origin are therefore;

X(-3, 1)    \(\overset{R_{180^{\circ}}}\longrightarrow {}\)   X'(3, -1)

Y(4, -5)    \(\overset{R_{180^{\circ}}}\longrightarrow {}\)   Y'(-4, 5)

The translation transformation (x, y) ⇒ (x - 1, y + 1), can be applied on the image of the 180° rotation as follows;

X'(3, -1)   \(\overset{T_{(x-1, \,y+1)}}\longrightarrow {}\)  X''(3 - 1, -1 + 1) = X''(2, 0)

Y'(-4, 5)   \(\overset{T_{(x-1, \,y+ 1)}}\longrightarrow {}\) Y''(-4 - 1, 5 + 1) = Y''(-5, 6)

The location of the image of segment \(\overline{XY}\) after the composition of a rotation of 180° about the origin and a translation of (x, y) \(\xrightarrow{}\) (x - 1, y + 1) are the points X''(2, 0) and Y''(-5, 6)

The graph of segment \(\overline{X''Y''}\) with endpoints X''(2, 0) and Y''(-5, 6) is attached.

Learn more about rotation transformation in geometry here:

https://brainly.com/question/28874044

#SPJ1

Answer:

14

Step-by-step explanation:

Answer:

Answer From Gauth Math

Step-by-step explanation:

First of all, 4.7 * 2.9 = 13.63, so I think a mistake has occurred there and second, comma does not come here because this is not a big number, it is a small number. If you meant a dot instead. it would placed in the middle AKA 13.63

Would appreciate brainliest <3