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3 years ago

11

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of ¼ unit. How many ¼ unit cubes does

it take to fill the prism?

1 answer:

Nitella [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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Point A is at (6,-6) and point C is at(-6,-2). find the coordinates of B on AC so that AB= 3/4AC.

loris [4]

Answer:

B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

(B -A) = (3/4)(C -A) . . . . the required distance relation

4(B -A) = 3(C -A) . . . . . . multiply by 4

4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:D

6 0

3 years ago

An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

6 0

3 years ago

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will

Feliz [49]

Answer:

$W \le 6$

Step-by-step explanation:

Given

$Area = 60ft^2\ (max)$

$Length = 10ft$

Required

Represent the width as an inequality

First, we represent the area as an inequality.

$Area = 60ft^2\ (max)$

max as used above means less than or equal to.

So, we have:

$Area \le 60$

The area of a rectangle is:

$Area = L * W$

So, we have:

$L * W \le 60$

Substitute 10 for L

$10 * W \le 60$

Divide both sides by 10

$\frac{10 * W}{10} \le \frac{60}{10}$

$W \le \frac{60}{10}$

$W \le 6$

7 0

3 years ago

What does y=5x+4 look like on slope intercept form?

valentina_108 [34]

Beachside it is supposed to be 619 into that form

4 0

3 years ago

The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the sid

Alex Ar [27]

Step-by-step explanation:

solution.

Let S represent side of the equilateral triangle.

perimeter of equilateral ∆ =3×S

Therefore,if we let width to be represented by W

Width of rectangle=W

Length of rectangle=2W

one side of equilateral triangle= W+8

Therefore after analysing the question, the true statement is; The length of the rectangle is 2W

5 0

3 years ago