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balu736 [363]
3 years ago
15

Calculate the volume of a rectangular prism with a length of 4.4 cmcm, a width of 3.1 cmcm, and a height of 6.3 cmcm. (As before

, you do not need to enter the units since they are provided to the right of the answer box.)
Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer: 85.93 cm³  .

Step-by-step explanation:

We know that the volume of the rectangular prism is given by :-

V=\text{length x width x height}

Given : A rectangular prism has

length =4.4 cm,  width = 3.1 cm, and a= height =6.3 cm.

Then, the volume of the rectangular prism will be :

V=4.4\times3.1\times6.3=85.932\approx85.93\ cm^3

Hence, the volume of a rectangular prism is 85.93 cm³  .

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The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.
12345 [234]
<h3><u>Question:</u></h3>

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

<h3><u>Answer:</u></h3>

The length of rectangle is 10.5 units

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

<em><u>The perimeter of rectangle is given by formula:</u></em>

Perimeter = 2(length + width)

<em><u>Substituting the values we get,</u></em>

34 = 2(L + 6.5)

Thus the equation is found

<em><u>Solve for "L"</u></em>

L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5

Thus length of rectangle is 10.5 units

6 0
3 years ago
After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma
Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

DJs = 7

To\ pick = 4

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

^nP_r = \frac{n!}{(n-r)!}

Where

n = 7

r = 4

So:

^nP_r = \frac{n!}{(n-r)!}

^7P_4 = \frac{7!}{(7-4)!}

^7P_4 = \frac{7!}{3!}

^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}

^7P_4 = 7 * 6 * 5 * 4

^7P_4 = 840

<em>Hence, number of ranking is 840</em>

7 0
3 years ago
James trained for the Boston marathon for 3 1/2 hours every day how many hours did he train in the month of June?
n200080 [17]
If you say 3.5 times 30 ur answer would be 105
3 0
3 years ago
Please answer! I crossed out the ones you don’t have to complete.
Nina [5.8K]

Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

5.  x^-6 = \frac{1}{x^6}

6. 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7. a^{-3}b^0c^4=\frac{c^4}{a^3}

Step-by-step explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as: =5^{1+1+1}=5^3

a.a as a^{1+1}=a^2

b.b.b.b as: b^{1+1+1+1}=b^4

So, our result will be:

5^3a^2b^4c

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

Question:

Rewrite using positive exponent:

The rule used here will be: a^{-1}=\frac{1}{a^1} which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5) x^{-6} = \frac{1}{x^6}

6) 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7) a^{-3}b^0c^4=\frac{b^0c^4}{a^3}

We know that b^0=1 so, we get

a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}

4 0
3 years ago
What conclusion can be derived by comparing the central tendencies of the two data sets?
valentinak56 [21]
B i hope this helps you
4 0
3 years ago
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