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3 years ago

10

Bill and Greg are walking in opposite directions with speeds of 45 and 75 feet per minute. When they started, the distance betwe

en them was 20 feet. What will be the distance between them in 2.5 min?

1 answer:

mr_godi [17]3 years ago

3 0

Their distance would be 50 feet in 2.5 minutes, if the speeds remain constant.

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If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?

zhuklara [117]

Answer:

$\boxed {cot T = -\frac{5}{12}}$

Step-by-step explanation:

<u>Finding the missing side</u> :

x² = 13² - 12²
x² = 169 - 144
x = √25
x = 5

<u>Taking the cot value</u> :

cot T = adjacent / opposite
cot T = -5/12 (As cot is negative in Quadrant 2)

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2 years ago

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A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pi

Y_Kistochka [10]

Answer:

36 centimeters.

Step-by-step explanation:

1. To solve this problem you must find the Greatest common factor.

2. List the prime factor of 108 and 72:

$108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})$

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

$(2^{2})(3^{2})=(4)(9)=36$

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3 years ago

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Timothy runs on a treadmill at an average speed of 5 meters per second. How many minutes does it take Timothy to run 2.4 kilomet

ruslelena [56]

It will take 8 minutes.
You use a proportion
5/1=2400/x you use 2400 because 2.4km=2400 meters and u need to use the same unit of measurement.
so cross multiplying gives you 5x=2400 which is equal to 480. BUT this is 48 seconds, and it asks you how many minutes, not seconds. So, you divide by 60 because there are 6 seconds in a minute, and you get 8.

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3 years ago

A consumer organization estimates that over a 1-year period 16% of cars will need to be repaired once, 9% will need repairs

Mice21 [21]

Answer:

A consumer organization estimates that over a 1-year period 16% of cars will need to be repaired once, 9% will need repairs twice, and 3% will require three or more repairs..

We have the cars that do not need repair = $100-(16+9+3)=72$ %

(16+9+3=28% cars need repair of some sort)

What is the probability that :

a) neither will need repair?

=> $0.72\times0.72=0.5184$

b) both will need repair?

=> $0.28\times0.28=0.0784$

c) at least one car will need repair?

=> $1-(0.72\times0.72)$

=> $1-0.5184=0.4816$

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3 years ago

Which of these expressions is equivalent to 3( x-2)

Assoli18 [71]

Answer:

the answer is B because 3(x-2) is the same as 3x -2

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3 years ago