MATHEMATICS MIDDLE SCHOOL

What is the surface area of a cube that has a side length of 5 feet?

Answers

Answer 1

Answer:

Hello!

Answer

The surface area of the cube is 150 $ft^(2)$ .

Explanation

A = 6 $a^(2)$

A = 6 $5^(2)$

A = 6 × 25

A = 150

Answer 2

Answer:

Answer:

150 feet squared

Step-by-step explanation:

:) :) :)

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The value of y varies directly with the value of x, and y = –21 when x = 3.Which equations represent the relationship between y and x?Choose exactly two answers that are correct.

Can someone help me with these 3 problems?1) Solve the Equation
-7/4x+1=91/10-7x+6/5x

2) Solve the Inequality
-5(5+8x)<-25+6x

3)Solve the Inequality
-39<9-6b<-9

Answers

Answer:

1. x=2

2. x>0

3. 3<b<8

Step-by-step explanation:

The diameter of a circular pool is 18 feet. What is the approximate area of the pool?

A.
56.52 square feet

B.
113.04 square feet

C.
254.34 square feet

D.
1017.36 square feet

Answers

The formula for the diametre of a circle is πr². This means we need to find the radius. The radius is half the diametre (9).

3.14 (9)² =
3.14 (81) =
254.34 square feet is your answer

If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Answers

$(x-7)^(2) + (y+6)^(2) = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_(1) ,y_(1)) and (x_(2) ,y_(2))$ is given by

$\sqrt{(x_(2)-x_(1))^(2)+ (y_(2)-y_(1))^(2) }$

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^(2)+ (-6-(-9))^(2) }$

= $\sqrt{(1)^(2)+ (3)^(2) } = √(10 )$

Hence the radius r is $√(10)$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $√(10)$ is given by

$(x-a)^(2) + (y-b)^(2) = r^(2)$

=> $(x-7)^(2) + (y-(-6))^(2) = (√(10) )^(2)$

=> $(x-7)^(2) + (y+6)^(2) = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^(2) + (y+6)^(2) = 10$ is equation of the required circle.

Find the Difference 9,052-7,391

Answers

The answer for this problem is 1661

Find the area???????

Answers

Area of the top triangle = 0.5 * 3 * 4 = 6

Area of the parallelogram = 4 * 4 = 16

Answer is 22 units^2

Amie published her first book. She was given $20,000 and an additional $0.15 for each copy that sold. Her earnings,d, in dollars,from the publication of the book are given d=20,009 + 0.15n where n is the number of copies sold. During the first year, Amie earned $22,100 from the publication and the sale of her book. How many copies of her book were sold?