MATHEMATICS HIGH SCHOOL

Two positive integers are 3 units apart on a number line. Their product is 108.Which equation can be used to solve for m, the greater integer?

A.m(m – 3) = 108
B.m(m + 3) = 108
C.(m + 3)(m – 3) = 108
D.(m – 12)(m – 9) = 108

Answers

Answer 1

Answer: Answer A is correct, numbers used in equation are (m) and (m-3).

Y = 22.56 cm

Step-by-step explanation:

To find the diameter Y of the circle we must first find the radius of the circle

Area of a circle = πr²

where

r is the radius

From the question

Area = 400cm²

Substitute the value into the above formula and solve for the radius

That's

400 = πr²

Divide both sides by π

We have

${r}^(2) = (400)/(\pi)$

Find the square root of both sides

$r = \sqrt{ (400)/(\pi) }$

radius = 11.28 cm

Since we have the radius we can use it to find the diameter Y using the formula

diameter = radius × 2

radius = 11.28

Y = 11. 28 × 2

We have the final answer as

Y = 22.56 cm

Hope this helps you

A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.

Answers

Answer:

198 ft/s speed

99 ft distance

Step-by-step explanation:

Answer:

7.33333ft

Step-by-step explanation:

A betting company wishes to sell 5000 tickets 50 of which will win prizes. I.) A students decided to buy 200 tickets. Let X be the number of tickets that win a prize. Write the probability distribution of X and give its mean. Ii.) Using a Poisson approximation for the distribution of X find the probability of at least three tickets winning a prize. Iii.) Calculate the number of tickets that should be bought so as the probability of at least one winning a prize is 90%