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8_murik_8 [283]
3 years ago
15

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is

the height. Which expression represents the volume of the following rectangular prism?
L=x+2
W=3x
h=2x+9

A)2x^2+13x18
B) 6x^3+27x^2+54x
C) 6x^3+39x^2+54x
D)18x^4+117x^3+162x^2
Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0
The expression that represents the volume would be: <span>C) 6x^3+39x^2+54x</span>

Proof of the calculation:

V = Lwh

V = (x+2) (3x)  (2x+9)

V= (3x^2 + 6x) (2x + 9)

V = (6x^3 + 27X^2 +12x^2 + 54x)

V = 6x^3 + 39x^2 + 54x
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Answer:

x=7 because 25-4=21 and 21 ÷3=7

4 0
3 years ago
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144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase
azamat

\frac{5}{11}  \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\  \\  \frac{5}{11}  \times 144 = 65.45 = 65
therfore there is 65 yellow flowers
4 0
3 years ago
Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden?
Leno4ka [110]

Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

8 0
2 years ago
Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.​
Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = 150\times \frac{4}{(4+1)}

                                          = 150\times \frac{4}{5}

                                          = £120

Similarly, amount received by Tanya = 150\times \frac{1}{(4+1)}

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

7 0
2 years ago
A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting positi
madam [21]

Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

L = \frac{\theta}{2\pi} * 2\pi r

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft

For 24 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.

4 0
3 years ago
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