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3 years ago

What volume is the rectangular prism?

Mathematics

2 answers:

anzhelika [568]3 years ago

8 0

Answer:

10 ft

Step-by-step explanation:

Each square is 1/3 ft

There’s 15 squares on the front and back which makes 30 squares total.

1/3 x 30/1 = 30/3

30/3 = 10 ft ^2

irinina [24]3 years ago

6 0

Answer = 10 ft^2

Each square is 1/3 ft
There’s 15 squares on the front and back which makes 30 squares total.
1/3 x 30/1 = 30/3
30/3 = 10 ft ^2

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Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

The polygon is a square

Find the Area of the polygon

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

3 years ago

A bag contains 6 red jelly beans, 4 green jelly beans, and 4 blue jelly beans.

worty [1.4K]

The simplified probability would be 12/91.

There are 4 green jelly beans out of a total of 14 jelly beans. The probability for the first bean would be 4/14.

Once the first jelly bean is removed, the probability that the second jelly bean would be red is 6/13 (the denominator decreases by 1 because of the first jelly bean that did not get put back).

Together the probability is (4/14)(6/13) = 24/182, which then simplifies to 12/91.

7 0

4 years ago

Read 2 more answers

What percentage is 11 of 88

Vera_Pavlovna [14]

Answer:

The answer is: 12.5%

Step-by-step explanation:

Divide 11 by 88. Multiply the result by 100 to get percent.

11/88 = 0.125

0.125 x 100 = 12.5%

Hope this Helps!! Have an Awesome Day!! (-:

6 0

3 years ago

I need help with this question

fgiga [73]

Find out what the x numbers eaqul to y

3 0

3 years ago

Can someone help me please

MArishka [77]

Answer: area

Step-by-step explanation:

Area is solved with L * W

Volume is solved with L * W * H

Using these formulas we can see that area uses 2-dimensions, the length and the width, while volume uses 3.

3 0

2 years ago

Read 2 more answers