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3 years ago

What is the volume of a rectangular prism that has a length, width, and height of 1/2 m, 1/4 m, and 2/3 m, respectively?

Mathematics

1 answer:

Talja [164]3 years ago

8 0

V = L * W * H
V = (1/2)(1/4)(2/3)
V = (1 * 1 * 2) / (2 * 4 * 3)
V = 2/24 reduces to 1/12 m <===

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Solve for x.

Aliun [14]

9514 1404 393

Answer:

x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

2x = 3(6 -x)

2x = 18 -3x . . . . . eliminate parentheses

5x = 18 . . . . . . . . add 3x

x = 3.6 . . . . . . . . . divide by 5

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<em>Alternate solution</em>

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

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3 years ago

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Anton [14]

Answer:

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Step-by-step explanation:

Plug in -1 for x and you get x - 8

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3 years ago

Given each of the following areas, what would be the radius of each circle? a. A = 530.66 m2 b. A = 907.46 sq. ft. c. A = 379.94

ra1l [238]

Area for a circle is $A= \pi r^2$ . We will fill in each area and then solve for the radius. $530.66m^2= \pi r^2$ and $\frac{530.66m^2}{3.14}=r^2$ . ∴ $169=r^2$ and r = 13. For b, $907.46ft^2= \pi r^2$ and $\frac{907.46ft^2}{3.14}=r^2$ . $289=r^2$ , ∴ r = 17. For c, $379.94mi^2= \pi r^2$ , and $\frac{379.94mi^2}{3.14}=r^2$ . ∴, $121=r^2$ and r = 11. For d, $1962.5cm^2= \pi r^2$ , and $\frac{1962.5cm^2}{3.14}=r^2$ . ∴, $625=r^2$ so r = 25. And there you have it!

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3 years ago

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Semmy [17]

easy

5% is .05 two decimals to the left

55 x .05 = 2.75

$2.75 is your sales tax

55+2.75=$57.75

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3 years ago

The ratio of apples to bananas in a bowl of fruit is 2:5 if there are 49 total pieces of fruit in the bowl how many are apples

Ghella [55]

14 apples because altogether the ratio adds up to 7 and 49/7=7 so we could rewrite the ratio as 2x:5x so x=7. there for 2x ,the number of apples is 14

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3 years ago