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Soloha48 [4]
2 years ago
13

A 4​-ft vertical post casts a 12​-in shadow at the same time a nearby cell phone tower casts a 122​-ft shadow. How tall is the c

ell phone​ tower?
Mathematics
1 answer:
zepelin [54]2 years ago
3 0

Answer:

the cell phone tower is 488 ft

Step-by-step explanation:


change 12 in = 1ft

4ft                            x ft

------------------- =   ----------------

1ft  shadow           122 ft shadow


using cross products

4 * 122 = 1 * x

488 = x

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Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
Complete the chart to find the mean,variance,and standard deviation. 45 340 400 825
hoa [83]

Answer:

<u>A. Mean =  402.5</u>

<u>B. Variance = 77,556.25</u>

<u>C. Standard Deviation =  278.49</u>

Step-by-step explanation:

Let's calculate the mean, variance and standard deviation of the set of numbers given:

A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>

B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 =  [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>

C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>

7 0
3 years ago
Can somebody please help!!!!!!!!!!! Please please please please ! I will reward brainly !
Soloha48 [4]
I'll just name the lines as A, B, C, D, E.

A : Corresponding angles

B : Alternate Interior angles

C : Co - Interior angles

D : Vertical angles

E : Alternate Exterior angles
5 0
2 years ago
Read 2 more answers
Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.
horrorfan [7]

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

3 0
2 years ago
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to p
monitta

Answer:

25 degrees

Step-by-step explanation:

3 0
3 years ago
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