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Ymorist [56]
3 years ago
15

The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 1

44 feet in 3 seconds, how far will it fall in 17 seconds?
Mathematics
1 answer:
Semenov [28]3 years ago
5 0
Direct variation:

y - the distance, x - the time

The object falls 144 feet in 3 seconds.


The object falls y feet in 17 seconds.


In 17 seconds the object will fall 4624 feet.
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What is 3,562.653 in expanded form
Nezavi [6.7K]

Answer:

3000+500+60+2+.6+.05+.003

4 0
3 years ago
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α
snow_lady [41]

Answer:

m∠C  =  60°

Step-by-step explanation:

we know that sum of angles of a traingle is 18 degrees.

given

m∠A = 60°+α,

m∠B = 60°−α

we have to find  m∠C

m∠A + m∠B +  m∠C = 180

60°+α +  60° - α +m∠C = 180

+α and -α gets cancelled

120°+m∠C = 180

=> m∠C  =  180° -  120° =  60°

Thus, measure of angle c is  60°.

8 0
3 years ago
For any integer x,x2-x will always produce an even value
Levart [38]

Consider expression x^2-x. First, you can factor it:

x^2-x=x(x-1).

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, x^2-x is always even.

8 0
3 years ago
Please help w/ this question <br><br> image attached
yanalaym [24]

Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.

HJ = (KL + NM)/2

2(HJ) = KL + nm

2(5x + 2) = 4x + 1 + 27

10x + 4 = 4x + 28

6x = 24

x = 4

KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17

Answer: KL = 17

4 0
3 years ago
A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.
makvit [3.9K]
<h3>Answer: 7366.96 dollars</h3>

========================================================

Use the compound interest formula:

A = P(1+r/n)^(n*t)

where in this case,

A = 12000 = amount after t years

P = unknown = deposited amount we want to solve for

r = 0.05 = the decimal form of 5% interest

n = 1 = refers to the compounding frequency (annual)

t = 10 = number of years

-------

Plug all these values into the equation, then solve for P

A = P(1+r/n)^(n*t)

12000 = P(1+0.05/1)^(1*10)

12000 = P(1.05)^(10)

12000 = P(1.62889462677744)

12000 = 1.62889462677744P

1.62889462677744P = 12000

P = 12000/1.62889462677744

P = 7366.95904248911

P = 7366.96

6 0
3 years ago
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