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vazorg [7]
3 years ago
5

A block of marble is in the shape of a rectangular prism. The block is 8 feet long, 2 feet wide, and 78 inches high. What is the

volume of the block?
Mathematics
1 answer:
Komok [63]3 years ago
7 0
Length of the block of marble in question is (l) = 8 feet
Width of the block of marble in question is (w) = 2 feet
Height of the block of marble in question is (h) = 78 inches
We already know that
1 inch = 0.08 foot
So
Height of the block of marble in question (h) = 78 * 0.08 foot
                                                                       = 6.24 feet
Then
Volume of the marble block = i * w * h
                                             = 8 * 2 * 6.24 cubic feet
                                             = 99.84 cubic feet
From the above dduction we can conclude that the volume of the marble block in the shape of a rectangular prism is 99.84 cubic feet.
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What angle corresponds with angle A?
jolli1 [7]
The angle that corresponds with angle A will be P on the other triangle. Both angle A and P are 68 degrees.

And if you look at the sides of the triangle there is a similarity, proving the sides to be similar to each other.
8 0
3 years ago
Question 101 points)
maw [93]

Answer:

\large\boxed{y=-\dfrac{2}{3}x+\dfrac{13}{3}}

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================

\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}

4 0
3 years ago
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is
Hitman42 [59]

Answer:

red 420 times

Step-by-step explanation:

The results show red (18)  out of ( 18+10+7+19+6)

  18 / 60

18/60  *   1400 = 420 times

7 0
2 years ago
Need Help Badly<br>What is the solution
Kamila [148]
Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
-3x=x^2+6x+8
0=x^2+9x+8

The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.

After doing this, we realize that only -1 works, so the answer is x=-1

Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)

Best wishes:)


5 0
3 years ago
8 kids bought a 3 cakes. How many equal parts will need to divide it so that everyone can have it. Easy one! ​
Vladimir79 [104]

Answer:

3/8 is your answer.

Step-by-step explanation:

Given:

<em>8 kids bought a 3 cakes.</em>

Required:

<em>How many equal parts will need to divide it so that everyone can have it.</em>

Solution:

3/8

Hope this helps ;) ❤❤❤

8 0
3 years ago
Read 2 more answers
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