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Sophie [7]
2 years ago
14

The picture below shows a pole and its shadow:

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
8 0

The answer is 112 centimeters.

As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.

  • h = √113² - 15²
  • h = √12769 - 225
  • h = √12544
  • h = 112 centimeters

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Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
3 years ago
Paul was thinking of a number. Paul adds 1.2 to the number the doubles the result to get an answer of 68.3. Form an equation wit
Nikitich [7]

Answer:

(x+1.2)2=68.3

Step-by-step explanation:

(x+1.2)2=68.3

6 0
2 years ago
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the
lara31 [8.8K]

Answer:

D(t)=-24t+166

Step-by-step explanation:

Let

D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

<u>Given:</u>

Rachel's rate = 24 meters per second

At t_1=4 seconds D(t_1)=70 meters

<u>Find:</u> D(t)

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the function expression is

D(t)=-24t+b

To find b, substitute t_1=4 and  D(t_1)=70:

70=-24\cdot 4+b\\ \\70=-96+b\\ \\b=70+96\\ \\b=166

So,

D(t)=-24t+166

7 0
3 years ago
I need sum help please and thanks :)
Leona [35]

Answer:

6/16n is your answer I think

4 0
3 years ago
A bar graph shows That Sports books received 9 votes. If the scale is to 20 by twos, Where should the bar end for the sports boo
Scilla [17]
It should go between the 8 and the 10.
4 0
3 years ago
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