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Debora [2.8K]
3 years ago
11

A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are

the dimensions of its base?
Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

980 in

Step-by-step explanation:

just olya [345]3 years ago
6 0

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

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Would appreciate help with question 3. a), b) and c).
Yuki888 [10]
3-b) 216²/³ = ∛216² = ∛(6x36)² = 36

3-c) 256⁻¹/⁴ = 1/(256¹/⁴) = 1/(⁴√256) = 1/4

3 0
3 years ago
Express the series using sigma notation. 6 + 9 + 12 + 15.<br><br> a<br> b<br> c<br> d
Nadusha1986 [10]

Answer:

Option (d) is correct.

6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

\sum_{k=2}^{5}3k or  \sum_{k=1}^{4}(3k+3)

Since, we have options to choose.

From the given option (d) matches our result.

So,  6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)


5 0
3 years ago
Read 2 more answers
How many times can 44 go into 253? Show your work please?
Lunna [17]
44÷253= 44 with a reminder of 3
8 0
4 years ago
Read 2 more answers
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
7x5=20+8+<br> Fill in the missing number to make the equation true
antoniya [11.8K]
Answer: 7

step-by-step:
okay so first you do 7*5 which is 35 and 20+8 which is 28

then you get 35=28+x (the x is the ‘missing number’)

to find x you subtract 28 from both sides to keep the equation balanced

35-28=28-28+x

so 35-28 is 7 and 28-28 is 0 so then you have 7=x and your answer is 7

you’re doing algebra but instead of using variables your teacher is saying find the ‘missing number’ haha
3 0
3 years ago
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