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3 years ago

Given that the length of the side of a square based prism is 10 cm, and its volume is 1000 cubic centimeters , find its height.

Mathematics

1 answer:

Zinaida [17]3 years ago

8 0

I think D). But I could be wrong.. Sorry if I am...

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A car traveled 180 miles and used 6 gallons of gas. If the same car traveled 1,260 miles at the same rate, how many gallons of g

Luba_88 [7]

Answer:

180miles=6gallons

1260miles=?gallons

1260/180*6

=42 gallons

Step-by-step explanation:

6 0

2 years ago

Solve each equation using the quadratic formula. 4x^2-13x+3

Mazyrski [523]

Answer:

( 4 x − 1 ) ( x − 3 )

Step-by-step explanation:

Factor by grouping.

4 0

3 years ago

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PLEASE HELP PLEASE HELP PLEASE

WARRIOR [948]

f is given as -3

-3 is greater than -4, so use the second equation 3x-5.

replace x with -3 and calculate:

3(-3) - 5 = -9 - 5 = -14

The answer is -14.

6 0

3 years ago

Simplify the complex fraction.

lilavasa [31]

Given:

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}$

To find:

The simplified fraction.

Solution:

Step 1: Simplify the numerator

$$\frac{(4 r)^{3}}{15 t^{4}}=\frac{4^3 r^{3}}{15 t^{4}}=\frac{64 r^{3}}{15 t^{4}}$

Step 2: Simplify the denominator

$$\frac{16 r}{(3 t)^{2}}=\frac{16 r}{3^2 t^{2}}= \frac{16 r}{9 t^{2}}$

Step 3: Using step 1 and step 2

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}} \right)}$

Step 4: Using fraction rule:

$$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}$

$$\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}}\right)}=\frac{64r^3 \cdot 9t^2}{16 r \cdot 15 t^4}$

Cancel the common factor r and t², we get

$$=\frac{64 r^{2} \cdot 9 }{16 \cdot 15 t^2 }$

Cancel the common factors 16 and 3 on both numerator and denominator.

$$=\frac{4 r^{2} \cdot 3 }{ 5 t^2 }$

$$=\frac{12 r^{2} }{ 5 t^2 }$

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{12 r^{2} }{ 5 t^2 }$

The simplified fraction is $\frac{12 r^{2} }{ 5 t^2 }$ .

5 0

3 years ago

Cesar bought 20 boxes of pizza and gave 14 nosed away what percentage is left

Ostrovityanka [42]

Answer:

30%

Step-by-step explanation:

14/20 is 70% he gave away, so 30% is left.

8 0

3 years ago

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