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Alex787 [66]
3 years ago
15

A rectangle prism is 8 inches long and 5 inches wide. It is filled with water up to 2 inches below the top. The height of the wa

ter in the prism is 4 inches. What is the value of the rectangle prism?
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

The volume of the rectangular prism is 240 in³

<u>Explanation:</u>

Given:

Length of the prism, l = 8 in

Width of the prism, w = 5 in

Height of the prism, h = 2 + 4 in

                                 h = 6 in

Volume of the rectangular prism = length X width X height

V = 8 in X 5 in X 6 in

V = 240 in³

Therefore, the volume of the rectangular prism is 240 in³

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James has a piece of constrution paper with area of 65 1/4 inches . It is 9 2/3 inches long. What is the width of the piece of c
MrMuchimi

Answer:

The width of the piece of construction paper is 6.75 inches.

Step-by-step explanation:

The area of the paper = 65\frac{1}{4}  = 65.25sq inches

The length of the paper =  9\frac{2}{3}   = 9.66 in

Let the width of the paper =  w inches

Now, AREA OF THE PAPER = LENGTH x WIDTH

or, 65.25  sq. inches  = 9. 66 in  x w in

⇒ 65.25 = 9.66 x w

or, w = \frac{65.25}{9.66} \implies w = 6.75

or, w = 6. 75 inches

Hence,  the width of the piece of construction paper is 6.75 inches.

6 0
3 years ago
The number of days it takes a theater crew to set up a stage for a musical varies inversely as the number of
klemol [59]
Idk prolly like 6 days chief
7 0
3 years ago
How do you differentiate y = 3x3 - 2x-4
riadik2000 [5.3K]

Answer:

y' = 9x^2 + 8x^-5

Step-by-step explanation:

General Principle

y' = ax^b

y' = a*b * x^(b-1)

Solution

3x^3 = 3*3x^(3-1)

3x^3 = 9x^2

-2x^-4  = -2*-4 x ^(-4 - 1)

-2x^-4 = 8 x ^-5

Answer

y' = 9x^2 + 8x^-5

7 0
3 years ago
3+5i/-2+3i perform operation
melisa1 [442]

Answer:

\dfrac{9}{13}-\dfrac{19}{13}i

Step-by-step explanation:

Remember i^2=-1

You are given the fraction \dfrac{3+5i}{-2+3i}

First, multiply the numerator and the denominator by -2-3i:

\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}

This gives you 13 in denominator, now multiply two complex numbers in numerator:

(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i

Thus, the initial fraction is

\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i

4 0
2 years ago
Which sum will be neither positive nor negative. a. 3+2 b. -4+(-4) c. -6+6 d. 7+(-6)​
anastassius [24]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
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