When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer 1

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.


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Please help! Which inequalities represents the domain & range of this problem

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Answer:

X ≥ 20 and f(x) ≥ 1020

Step-by-step explanation:

Deduce the square root of 7+4√3

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2 -[tex]\sqrt{3}[/tex]

♥step by step♥

7-4[tex]\sqrt{3}[/tex]

=7-2[tex]\sqrt{2x3}[/tex]

=7-2[tex]\sqrt{12}[/tex]

=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )

=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²

∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]

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3. What is the slope and the y-intercept of
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2x + y = 1?
Explanation:

Answers

Answer:

The slope is -2/1 or simplified -2 and the y-intercept is 1

Step-by-step explanation:

Answer: Slope:-2  and y-intercept:1

Step-by-step explanation:

y=1 because the y by itself means 1.

The slope is a -2 because you have to do the opposite.

I used a calculator for math for the answer

How many solutions does the system have?

y= -5x - 1
y = -5.2 + 7

Answers

Answer:  y= -5x - 1

y = -5.2 + 7

Step-by-step explanation: y= -5x - 1 has 3.    y = -5.2 + 7  has 1

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a=associates / p=partners

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Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.

Answers

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

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whats the Estimate 646 + 738 and 646 + 738 also 356 + 467

Answers

Answer:

646+738=1380

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Step-by-step explanation:

Answer:

1380

1380

820

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

nvjkszd,mzxnbfkves

Choose a justification for each step in the derivation of the sine difference identity.

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Step 5:

Step 6:

Step 7:

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The Sine difference function was derivated with the help of the sine sum function.

What is the sine difference function?

The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.

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Answers

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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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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

x = 4

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Step-by-step explanation:

x - y = 2

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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