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3 years ago

PLEASE HELP I DONT UNDERSTAND ILL GIVE MORE IF ITS RIGHT

Mathematics

1 answer:

andre [41]3 years ago

7 0

Answer:

120

Step-by-step explanation:

The prism shown is a triangular prism

The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )

First let's find the area of the base.

To find the area of a triangle we use this formula $A=\frac{bh}{2}$

where b = base length and h = height

The base length is 6ft and the height is 4ft.

Using these dimensions we plug in the values into the formula

$\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12$

So the area of the base is 12ft²

Finally to find the volume we multiply the area of the base by the length of the prism

12 * 10 = 120

Hence, the volume of the prism is 120ft³

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Algebra Find the values for x and y in parallelogram ABCD. AE= x+5, EC=y, DE=2x+3, EB=y+2

olya-2409 [2.1K]

The values of x and y are ⇒ x = 4 and y = 9

Step-by-step explanation:

In a parallelogram

1. Each two opposite sides are equal and parallel

2. Each two opposite angles are equal

3. Its two diagonals bisect each other

In parallelogram ABCD

∵ Its diagonal AC and BD intersect each other at point E

∵ AC and DE bisect each other at E

∴ E is the mid-point of AC

∴ AE = EC

∴ E is the mid-point of BD

∴ DE = EB

∵ AE = x + 5

∵ EC = y

∵ AE = EC

∴ x + 5 = y ⇒ (1)

∵ DE = 2x + 3

∵ EB = y + 2

∵ DE = EB

∴ 2x + 3 = y + 2

- Subtract 2 from both sides

∴ 2x + 1 = y ⇒ (2)

Substitute y in equation (2) by equation (1)

∵ 2x + 1 = x + 5

- Subtract x from both sides

∴ x + 1 = 5

- Subtract 1 from both sides

∴ x = 4

Substitute the value of x in equation (1) to find y

∵ x + 5 = y

∵ x = 4

∴ 4 + 5 = y

∴ y = 9

The values of x and y are ⇒ x = 4 and y = 9

Learn more:

You can learn more about parallelograms in brainly.com/question/6779145

#LearnwithBrainly

6 0

3 years ago

Compare the values of the 2s and 5s in 55,220

Fed [463]

The value of the first 5 is 5 ten thousands and the second 5 i 5 thousands while the value of the first 2 is 2 hundreds and the second 2 is 2 tens.

4 0

3 years ago

Someone help me please!

Dvinal [7]

Answer:

The radius is 25 cm

Step-by-step explanation:

Area = $\pi$ * r^2

Area = 625 * $\pi$

625 $\pi$ = $\pi$ * r^2 The $\pi$ s cancel out

r^2 = 625 Take the square roots of both sides

sqrt(r^2) = sqrt(625)

r = 25

4 0

3 years ago

is (3,-3) a solution to the system 5x+4y=3, 2x-5y=19 need to be taught step by step please and thank you.

8090 [49]

Basically all you’re doing is plugging in the inputs to the equations and see if they’re correct.

5(3)+4(-3)=3 this proves to be true
2(3)-5(-3)=21 not 19

8 0

3 years ago

Read 2 more answers

Carlos is tiling a kitchen cluster that is 12 feed by 3 feed. The counter has a rectangular hole 3 feet by 2 feet cut in ir for

Taya2010 [7]

Answer:

The area of the counter that Carlos will wall tile is $30 ft^{2}$

Step-by-step explanation:

to solve this, we will calculate the area of the counter and the area of the rectangular hole that Carlos would have to leave out for the sink, and then subtract them to get the area that will be tiled.

Total area of the rectangular counter = length X breadth = $12 \times 3 = 36ft^{2}$

area of the rectangular cut out for the sink = length X breadth = $3 \times 2 = 6 ft^{2}$

Surface area that Carlos is meant to tile = $36ft^{2}- 6 ft^{2} = 30ft^{2}$

Hence,the area of the counter that Carlos will wall tile is $30 ft^{2}$

6 0

3 years ago