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lina2011 [118]
3 years ago
15

As she is sitting outside and enjoying the sunset, Cassidy wants to estimate how long her shadow is. She knows that she is 5.7 f

eet tall, but she doesn’t have any tools with her. She does remember the trick at right for approximating angles on the horizon. She measures the angle from her eye level to the sun as 25°. Knowing that the angle she’s looking up is the same as the angle at the ground is 65°, she thinks she has everything she needs to find the length of her shadow! Help Cassidy find the length of her shadow.
Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

12.22 feet

Step-by-step explanation:

In the Question we are given the following variables.

Cassidy's height = 5.7 feet

The angle from Cassidy's eye level to the sun also known as Angle of elevation is given as = 25°

The length of Cassidy's shadow = unknown

To determine the length of Cassidy's shadow, we used the formula:

Length of shadow = Height ÷ tan (Angle of elevation)

Length of shadow = 5.7 feet ÷ tan 25°

Length of shadow = 12.22 feet

Therefore, the length of Cassidy's Shadow = 12.22 feet.

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Answer: y=-2/5x+2

Solving Steps:
2x+5y=10 - Move the variable to the right
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y=2-2/5x - Reorder the terms
y=-2/5x+2
7 0
3 years ago
The sum of fifteen and six times a number t is eighty one what is the number
yKpoI14uk [10]

Answer: t=11 :))


Step-by-step explanation:

15+6t=81

6t=81-15

6t=66

6t/6=66/6

t=11

7 0
3 years ago
Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different
BabaBlast [244]

Answer:

5040 different combinations

Step-by-step explanation:

0-9 = 10 numbers

1st digit can be 1 0f 10

2nd digit can be 1 of 9

3rd digit can be 1 of 8

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10×9×8×7=5040

5 0
3 years ago
Read 2 more answers
What is the solution to this inequality?
Snezhnost [94]

Answer:

  • \boxed{\sf{D. \quad x < 3}}

Step-by-step explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

<h3>-4x-8>-20</h3>

<u>First, add by 8 from both sides.</u>

\sf{-4x-8+8 > -20+8}

<u>Solve.</u>

-20+8=-12

<u>Rewrite the problem down.</u>

\sf{-4x > -12}

<u>Multiply by -1 from both sides.</u>

(-4x)(-1)<(-12)(-1)

<u>Solve.</u>

<u>Multiply the numbers from left to right.</u>

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4x<12

<u>Divide by 4 from both sides.</u>

4x/4<12/4

<u>Solve.</u>


<u>Divide the numbers from left to right.</u>

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<u>x<3</u>

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I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
Read 2 more answers
Height
dem82 [27]

Answer:

<h3>1 secs</h3>

Step-by-step explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the  height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

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0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height

8 0
3 years ago
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