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True [87]
3 years ago
15

The prism has a volume of 160 cm3.

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0
In order to find the volume, you have to find the volume ratio. To find the volume ratio you have to cube the scale factor. 1/2 cubed is 1/8. Now to find the volume, you multiply the volume ratio by the volume of the original prism. 160x1/8= 20 The answer is 20cm3
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Consider the following quotients: (4x^2 +8x +3)/(2x+1) and 483/21. a. How are these expressions related? b. Find each quotient.
alekssr [168]

Answer:

a) Put x=10, then the both terms will be same.

b) (2x+3) and 23

c) (2x+3) is a general term for all values of x and 23 is a particular value for x=10

Step-by-step explanation:

a) Considering the following two fractions (4x²+8x+3)/(2x+1) and 483/21, they are equivalent to each other for the value of x =10.

Therefore, if you put x=10 in the fraction (4x²+8x+3)/(2x+1), then it will become 483/21. (Answer)

b) The quotient of the fraction (4x²+8x+3)/(2x+1) will be obtained by as follows:

(4x²+8x+3)/(2x+1) {By factorizing the numerator}

=(4x²+6x+2x+3)/(2x+1)

=(2x+3)(2x+1) / (2x+1)

=2x+3

Again, the quotient of the fraction 483/21 =23 (Answer)

c) Again, if you put the value of x =10 in the quotient (2x+3), then it will result 23. Therefore, (2x+3) is a general term which is valid for all the real values of x and 23 is a particular value for x=10. (Answer)

5 0
3 years ago
I need the answer please
Stells [14]

Answer:

The 1st option

Step-by-step explanation:

Because x can be anything that's not imaginary and y has to be below 2 always because of the negative value added before the 3. Also it's impossible to reverse the sign of the negative because negative x would only result in 3 becoming a fraction.

5 0
3 years ago
PLEASE HELP !!
Firlakuza [10]

Answer:

<u>200</u>

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

7 0
3 years ago
I need help with the steps. The answer is (5,2)
Elden [556K]

So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

y+3+y=7\\2y+3=7\\2y=4\\y=2

Next, now that we have the value of y, substitute it into either equation to solve for x:

x+2=7\\x=5\\\\x=2+3\\x=5

<u>And this is how you get your final answer (5,2).</u>

5 0
4 years ago
Add. write your answer in simplest form.<br> -4 _/135 + 7 _/15
Zarrin [17]

\huge\quad\qquad\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  - 4 \sqrt{135} + 7 \sqrt{15}

\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3}  + 7 \sqrt{15}

\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3}  + 7 \sqrt{15}

\qquad \tt \dashrightarrow \: - 12 \sqrt{15 }  + 7 \sqrt{15}

\qquad \tt \dashrightarrow \: - 5 \sqrt{15}

7 0
3 years ago
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