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slamgirl [31]
3 years ago
5

The edge of each cube used to build this rectangular prism is 1/3 inch long. Which equation shows the volume of the prism, in cu

bic inches?
Mathematics
2 answers:
KiRa [710]3 years ago
8 0
(1/3) cubed, since the equation for the volume of a cube is an edge, cubed
Ratling [72]3 years ago
4 0

(3/3 · 2/3 · 3/3) in.^3 =23 in.^3




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A and B are two points on square ABCD with coordinates A(1,3) and B(5,3). What are the lengths of the diagonals AC and BD? Round
lilavasa [31]

Answer:

AC = BD = 5.7

Step-by-step explanation:

Given

A = (1,3)

B = (5,3)

Required

The length of the diagonals

First, calculate the length of AB using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

AB = \sqrt{(1 - 5)^2 + (3 - 3)^2}

AB = \sqrt{(-4)^2 + 0^2}

AB = \sqrt{16}

AB = 4

The diagonal of a square is calculated using:

Diagonal = x\sqrt{2

Where x is the length of each side.

So:

AC = BD = AB\sqrt{2}

AC = BD = 4\sqrt{2}

AC = BD = 5.7 -- approximated

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3 years ago
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Step-by-step explanation:

everything can be found in the picture

7 0
3 years ago
Please explain it. and no links. <br> thanks.
Nimfa-mama [501]

Answer:  4*sqrt(66)

This is the same as saying 4\sqrt{66}

===========================================================

Explanation:

x = length of segment BD

Because BD is an altitude of triangle ABC, this means the triangle is split into two smaller right triangles which are similar to the original. All three right triangles are similar to one another.

What this leads to is the proportion

CD/BD = BD/AD

Apply substitution and solve for x.

24/x = x/44

24*44 = x*x .... cross multiply

1056 = x^2

x = sqrt(1056)

x = sqrt(16*66)

x = sqrt(16)*sqrt(66)

x = 4*sqrt(66)

Notice how I factored 1056 in such a way that I pulled out the largest perfect square factor (16). Then I used the rule \sqrt{x*y} = \sqrt{x}*\sqrt{y}&#10; to break up the root.

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vladimir1956 [14]

Answer:

4 cm

Step-by-step explanation:

Divide the volume by the product of the length and width to calculate the height of a rectangular object.

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Answer:

Pretty sure it's "A"

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