Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.

Answers

Answer 1

Answer:

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.

Answer 2

The angle of depression from Coach Jump to the quarterback is 27.6°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

In this diagram,

C represents Coach Jump,

B represents the base of the platform,

θ represents the angle of depression from Coach Jump to the quarterback.

Now,

We want to find θ.

We can use the tangent function,

So,

tan Ф = 12/23

Ф = [tex]tan^{-1}[/tex] 12/23

Ф = 27.55°.

Thus,

The angle of depression from Coach Jump to the quarterback is 27.6°.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Coach Jump Is Standing On A Platform Watching The Football Team Practice. If The Platform Is 12 Feet

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Answers

Answer:

$568.16

Step-by-step explanation:

First, converting R percent to r a decimal

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Pythagorean theorem: A^2 + B^2 = C^2

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A doggie daycare center requires that there be 4 staff members for every 12 dogs.

Write an equation that shows the relationship between n, the number of supervisors, and d, the number of dogs.

Part 2 At the doggie daycare center from before, how many employees would need to be staffed if they had scheduled 19 dogs. Justify your answer by writing a few sentences explaining your thought process.

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2. Scotts American Bulldog males have weights that are normally distributed with

a mean of 85 pounds and a standard deviation of 14.6 pounds. Female American

Bulldog have weights that are normally distributed with a mean of 69 pounds and

a standard deviation of 8.8 pounds. We take a sample of 9 male and 8 female

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the samples (Male - Female) is greater than fifteen pounds? (Please attach your

work).

Answers

Answer:

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.

This means that [tex]\mu = 85, \sigma = 14.6[/tex]

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By the Central Limit Theorem:

[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]

Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.

This means that [tex]\mu = 69, \sigma = 8.8[/tex]

Sample of 8 female bulldogs:

By the Central Limit Theorem:

[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]

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What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?

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[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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[tex]Z = \frac{X - \mu_S}{s_S}[/tex]

[tex]Z = \frac{15-16}{5.7762}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

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Answers

Answer:

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Answer:

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Answer:

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Step-by-step explanation:

1) the basic formula is:

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2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);

[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]

3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);

[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]

4) finally, the required Area:

[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]

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Step-by-step explanation:

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|-2.54|= 2.54, take out the lines and inside signs
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Answer:

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Step-by-step explanation:

There are 3 feet in 1 yard.  Multiply the length value by 3.

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( credits to codyprice )

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Answer:

2

Step-by-step explanation:

The first step is to convert the equation to slope-intercept form (y = mx+b).

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2y+6-6 = 4x-6

2y = 4x-6

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Step-by-step explanation:

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[tex]4^{3}[/tex]

Step-by-step explanation:

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using suitable identity find 231^222-131^2​

Answers

Given:

Consider the expression is

[tex]231^2-131^2[/tex]

To find:

The value of given expression using a suitable identity.

Solution:

We have,

[tex]231^2-131^2[/tex]

Using the identity [tex]a^2-b^2=(a-b)(a+b)[/tex], we get

[tex]231^2-131^2=(231-131)(231+131)[/tex]

[tex]231^2-131^2=(100)(362)[/tex]

[tex]231^2-131^2=36200[/tex]

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D

Step-by-step explanation:

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Answers

Answer:

A.

Step-by-step explanation:

If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.

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Correct me if I end up being wrong.

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Answers

Answer:

7 feet

Step-by-step explanation:

Let's find how many feet did the tree gain during 5 1/2 years:

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Now devide this number by 5 1/2 to find average length tree gained yearly:

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Answer:

Step-by-step explanation:

435/5=87

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:


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Answers

Answer:

[tex]Total = \$68.34[/tex]

Step-by-step explanation:

Given

[tex]Price = \$88.99[/tex]

[tex]Discount = 30\%[/tex]

[tex]Sales\ Tax = 9.7\%[/tex]

Required

Determine the payable amount.

First, calculate the amount after discount

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The total after sales tax is:

[tex]Total = Amount (1 + Sales\ Tax)[/tex]

[tex]Total = \$62.293 (1 + 9.7\%)[/tex]

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[tex]Total = \$62.293 (1.097)[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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