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NikAS [45]
3 years ago
15

Volume of a square prism with faces of 3/8

Mathematics
1 answer:
algol133 years ago
3 0

Answer:

27/512 in.^3

Step-by-step explanation:

volume = side^3

V = (3/8 in.)^3

V = 27/512 in.^3

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The diameter of a circle is 8mm. What is the circumference of the circle?
Liula [17]

Answer: 8π mm (in terms of π)

Step-by-step explanation:

1) The formulas for solving the circumference of a circle is πd (π times diameter).

2) 8 times π equals 8π mm.

Hopes this helps!

4 0
2 years ago
Read 2 more answers
Find the 96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25,
IrinaK [193]

Answer:

a_9_6=-1,234

Step-by-step explanation:

we know that

The rule to calculate the a_n term in an arithmetic sequence is

a_n=a_1+d(n-1)

where

d is the common difference

a_1 is the first term

n is the number of terms

we have

1,-12,-25,...

Remember that In an Arithmetic Sequence the difference between one term and the next is a constant. and this constant is called the common difference

so

a_1=1\\a_2=-12\\a_3=-25

d=a_2-a_1=-12-1=-13

Find the 96th term of the arithmetic sequence

a_n=a_1+d(n-1)

we have

a_1=1\\d=-13\\n=96

substitute

a_9_6=1+(-13)(96-1)

a_9_6=1+(-13)(95)

a_9_6=1-1,235

a_9_6=-1,234

8 0
3 years ago
The quotient of a number X and 2 is 20
pychu [463]
X=10 because 10x2=20
8 0
3 years ago
You will need 100 feet of fencing to put all the way around a rectangular garden. The length of the garden is 30 feet. What is t
spayn [35]
Because you need 100 feet of fencing to go all the way around, the circumference of the rectangle is 100.

Then, because this is a rectangle, both sides of the length are equal and both sides of the width are equal.

Therefore, we can represent the circumference with the following equation:
100=2(30)+2x, where x is the width.

Then we solve for x be rearranging the equation.
First simplify:
100=60+2x
Then subtract 60 from both sides
40=2x
Then divide both sides by 2
20=x

Therefore, the width of the garden is 20 feet.
6 0
3 years ago
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
andrey2020 [161]

Answer:

Step-by-step explanation:

3x + y + 72 = 180

3x + y = 108 .... <em>(1)</em>

2x + y = 90 ..... <em>(2)</em>

(1) - (2)

<em>x = 18°</em>

<em>y = 54°</em>

6 0
3 years ago
Read 2 more answers
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