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pav-90 [236]
3 years ago
14

The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5 6 cm. What is the volume of the prism?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

138 cm³

Step-by-step explanation:

Given in the question that base of the rectangular prism = 36 cm²

Height of the prism = 3 5/6 cm = 23/6

We know that the volume of a rectangular prism with base area B and height H is given by

<h3>Volume = B(H)</h3><h3 />

Plug values in the formula above to find the volume of the prism

Volume = 36(23/6)

              = 6(23)

              = 138 cm³

So the volume of prism = 138 cm³

<h3></h3>

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You deposit $100 in an account earning 4% interest compounded annually. How much will you have in the account in 10 years? Round
rosijanka [135]

Answer:

$148.02

Step-by-step explanation:

In the question

Principal = $100, rate(R) = 4% compounded annually, time(T)= 10 years

we know that the formula for compound interest

A=P\times_(1+\frac{R}{100} )^{T}   where A is amount

now putting values in the above formula we get

A=100\times_(1+\frac{4}{100} )^{10}

therefore A= $148.024428

rounding off to the nearest penny we get amount as $148.02 and compound interest will be $48.02

5 0
2 years ago
Which expression does not belong with the other three? Explain your reasoning. −58−34 −34+58 −58+(−34) −34−58 This expression eq
Svetach [21]

Answer:

The expression which doesn't belong to the other three is  (-34 + 58).

Step-by-step explanation:

Given:

Four expressions.

We have to find the odd one out.

The expressions are :

  • -58-34
  • -34+58
  • -58+(-34)
  • -34-58

We know that with same signs (operator) in addition/subtraction of an expression we we add the values and the answer remains in negative.

But with different signs on numbers we will subtract the numbers and the greater number's sign will be carried forward.

So,

  • -58-34 = -92
  • -34+58 =24
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  • -34-58 =-92

We can see that the second expression is not equal to the other three.

(-34 + 58) is the odd one out of the four expressions.

6 0
3 years ago
Name three situations in which force is created
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If an object's direction of motion is changed
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2 years ago
The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age
S_A_V [24]

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

2x - 30 = (x+6)

Simplifying the equation

2x - (x+6) = 30

2x - x - 6 = 30

x = 36

So this is the age of youngest sister.

So, age of oldest sister will be x + 6 = 36 + 6 = 42

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)


5 0
2 years ago
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