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3 years ago

I need the answer ASAP PLEASE HELP

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

The volume of a pyramid is:

V = (length * width * height of pyramid)/3

Note that:

length = 8

width = 8

height of the pyramid = 3

height of the triangle = 5

Solve for Volume:

Multiply

V = (8 * 8 * 3)/3

V = (192)/3

Divide

V = (192)/3

V = 64

A. 64 yd³ is your answer

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50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

3 years ago

Read 2 more answers

A recipe calls for 3/4 cup of sugar for every 3 cups of flour.How many flour should be used for every 1 cup of sugar ?

vivado [14]

You need 1/4 of sugar per cup of flour. So you need 4 cups of flour for every one cup of sugar

5 0

3 years ago

To see how costly it would be for other people to compete a similar cycling tour, you decide to work out two averages and compar

Damm [24]

Group A

Money spent by Person 1 = £500

Money spent by Person 2 = £600

Money spent by Person 3 = £900

Money spent by Person 4 = £450

Sum of money spent by group A = £2,450

Average money spent by group A = $\frac{2,450}{4}$

⇒ Average money spent by group A = £612.5

Group B

Money spent by Person 1 = £700

Money spent by Person 2 = £500

Money spent by Person 3 = £680

Money spent by Person 4 = £500

Sum of money spent by group B = £2,380

Average money spent by group B = $\frac{2,380}{4}$

⇒ Average money spent by group B = £595

Hence, Group B had lower average spend.

4 0

2 years ago

35% of 70 is _____.

Ostrovityanka [42]

The answer is 24.5
Hope this helps :)

7 0

3 years ago

Read 2 more answers

A blue container weighs 4 x 103

NemiM [27]

Answer:

208

Step-by-step explanation:

First let's find out what each container weighs..

Blue = 4 x 103 = 412

Red = 102 x 2 = 204

Now, Let subtract Blue container by Red Container..

412-204=208

Hence, the blue container weighs 208 more than the red container.

8 0

2 years ago

I need the answer *ASAP* PLEASE HELP

I need the answer ASAP PLEASE HELP