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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Answer:

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Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667

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Answer:

646+738=1380

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Step-by-step explanation:

Answer:

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Explain WHY a rotation of 180° is the same as doing
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Answers

The 180 degree acts like both a horizontal (y axis) and vertical (x axis) reflection in one action.Precisely. Although they appear similar at first,rotating a figure 180 degrees swaps the image left-to-right and top-to-bottom at once.

PLEASE HELP ME!!!! HOMEWORK DUE IN 30 MIN!!!!!!

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Answer:

b is 10.5 c is 11

Step-by-step explanation:

9+1.5

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3(5)-4

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Which system of equations represents the graph?

Answers

Answer:

B

Step-by-step explanation:

if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.

3. What is the slope and the y-intercept of
the line represented by equation:
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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

Translate the sentence six less than the product of four and a number is -2 into an equation

Answers

Answer:

4x - 6 = -2

Step-by-step explanation:

i dont really know how to explain this one

Answer:

[tex]4x-6=-2[/tex]

Step-by-step explanation:

So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.

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Answer:

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Step-by-step explanation:

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Answer:

0.79

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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Answer:

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Step-by-step explanation:

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Answers

Answer:

1st question example. all you have to do is write ∠XV, ∠VW, ∠WX

Step-by-step explanation:

the ∠ means the angles. so each angle has a degree. Just list them shortest angle to longest angle.

compare the decimal form of 2/5 and 4/9

Answers

Step-by-step explanation:

they are equal equally.

Answer:

The decimal form of 2/5 is .40. The decimal form of 4/9 is 0.4444. So 2/5 is smaller than 4/9, but if you round, they are equal.

Step-by-step explanation:

To get the decimal, you divide the numbers: 2 divided by 5 and 4 divided by 9.

Please help if you are good at math!!

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Answer:

Y intercept= (0,15)

X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)

Vertex= -[tex]\frac{b}{2a}[/tex]

Step-by-step explanation:

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Answer:

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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

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

Step 1:

Step 2: Distributive property

Step 3: Associative property

Step 4: Factoring out –1

Step 5:

Step 6:

Step 7:

Answers

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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We know that

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Answers

Answer:

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Answers

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The two triangles could be similar by the AA similarity property. So, option C is correct.

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In the given figure, both of these triangles show two given angles which are 42 degrees.

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How many solutions does the system have?

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Answers

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Deduce the square root of 7+4√3

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       (っ◔◡◔)っ ♥ Hey Honey Here! ♥♥answer♥

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

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Answer:

-1/3

Step-by-step explanation:

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Answers

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Answers

Answer:

true

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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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I need helppppp I forgot how to do this :(

Answers

a=associates / p=partners

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(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

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hope this helps :)

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

Answers

Answer:

X ≥ 20 and f(x) ≥ 1020

Step-by-step explanation:

3/4 (4x+8)=-12. Distributive property

Answers

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

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