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kvasek [131]
4 years ago
6

The rectangular prism shown has a surface area of 488 square inches. What is the length of the prism?

Mathematics
1 answer:
BigorU [14]4 years ago
8 0

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

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Whats the equation of a circle centered at (7,1) that passes through (-2,10)
castortr0y [4]
The line from (7, 1) to (-2 10) is a radius of the circle.

Its length is the square root of [ (-2 - 7)² + (10 - 1)² ] =  √(81 + 81) = √162

The equation of the circle is: (x- 7)² + (y - 1)² = 162 
6 0
3 years ago
Solve,if integral roots cannot be found estimate the roots by stating the consecutive intergers between which the roots lie.
miv72 [106K]
Hey mate 

The answers to this are going to be in the pic down below.
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8 0
3 years ago
There are 20 marbles in a bag. Each marble has a different design or color. How many ways can you draw 8 marbles from the jar? I
Digiron [165]

Answer:

The number of ways of selecting a combination of 8 marbles from a bag containing 20 marbles is 125970

Step-by-step explanation:

The number of selecting 8 marbles from a bag of 20 marbles

A combination gives the number of possible order or arrangement in a collection of k items selected from a set of n items

C_{n,k} = \dbinom{n}{k}= \dfrac{n!}{k!\cdot \left ( n - k \right )!}

In the question, k = 8, and n = 20

Substituting the values of n and k in the above equation gives;

C_{20,8} = \dbinom{20}{8}= \dfrac{20!}{8!\times\left ( 20 - 8 \right )!} = 125,970

Therefore, the number of ways of selecting 8 marbles from a bag containing 20 marbles is given by the combination C₂₀, ₈ = 125970.

8 0
3 years ago
What is 20% of 40%? <br> Choices: 50% 75% 100% 200% <br> Which is it?
ki77a [65]

I think it's 8%

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT
jekas [21]

Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

Here,

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

3 0
3 years ago
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