How to find hyptenuse of a triangle?

Answers

Answer 1

Answer: IF the triangle has a 90-degree angle in it (it's a right triangle), then the length
of the hypotenuse is:

Square root of (square of the shortest side + square of the medium side).

If the triangle is not a right triangle, then it doesn't have a hypotenuse.

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A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of the ball as a function of time can be modeled by what function h(t) = _________________ 1. after how many seconds the ball hit the ground. 2.What is the maximum height of the ball? 3.How long did it take for the ball to reach its maximum height?

Answers

Answer:

1)The ball hits the ground after 3 seconds.

2)The maximum height of the ball is 49 feet

3)It takes 1.25 seconds to reach its maximum height

Step-by-step explanation:

Height of building = 40 feet

We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.

So, The height of the ball as a function of time can be modeled by: $h(t)=-16t^2+40t+24$

1)After how many seconds the ball hit the ground.

Substitute h(t)=0

So, $-16t^2+40t+24=0\n-2t^2+5t+3=0\n2t^2-5t-3=0\n2t^2-6t+t-3=0\n2t(t-3)+1(t-3)=0\n(2t+1)(t-3)=0\nt=(-1)/(2) , 3$

Since time cannot be negative

So,the ball hits the ground after 3 seconds.

2)What is the maximum height of the ball?

It takes maximum height at vertex

Formula : $t = (-b)/(2a)$

$t=(-40)/(2(-16))=1.25 seconds$

Substitute the value of t in function

$h(1.25)=-16(1.25)^2+40(1.25)+24\nh(1.25)=49 feet$

So,the maximum height of the ball is 49 feet

3).How long did it take for the ball to reach its maximum height?

It takes 1.25 seconds to reach its maximum height

Ax+b=3(x-a) solve for x

Answers

Ax + b = 3x -3a
Ax- 3x = -(3a+b)
x(A-3) = - (3a+b)
x = - (3a+b) / (A-3)

Apply the distributive property.
ax+b=3(x)+3(−a)

Multiply 3 by x to get 3x.
ax+b=3x+3(−a)

Move −1.
ax+b=−1⋅3a

Multiply −1 by 3 to get −3.
ax+b=−3a

Replace back in to larger expression.
ax+b=3x−3a

Since 3x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 3x from both sides.
ax+b−3x=−3a

Factor out the GCF of x from each term in the polynomial.
x(a)+x(−3)=−b−3a

Factor out the GCF of x from ax−3x.
x(a−3)=−b−3a

Divide each term in the equation by (a−3).
x=−3a+b/a−3

Answer:
x=−3a+b/a−3

I am thinking of a number when I double my number and then subtract the result from 5 I get negative 12 what is my number

Answers

Answer:

-7/2

Step-by-step explanation:

2x-5=-12

2x=-12+5

2x=-7

x=-7/2

Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. Which of the stock prices listed below would give the P/E ratio she is looking for?I. $18 a share
II. $19 a share
III. $20 a share

Answers

The right answer for the question that is being asked and shown above is that: "III. $20 a share ." Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. The stock prices listed below would give the P/E ratio she is looking for is that III. $20 a share

What is 11.25 rounded to the nearest hundredth

Answers

11.25 rounded to the nearest hundredth is 11.25
The 2 is in the tenths place, and the five is in the hundredths place. In order to round to the nearest hundredth, there must be a thousandths number to determine it, which there is not.

It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?

Answers

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

8 degrees

(-7) + 15 = 8

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