MATHEMATICS MIDDLE SCHOOL

the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of the pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?

Answers

Answer 1

Answer:

Answer:

The volume of the pyramid is $V=187\ ft^(3)$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=(1)/(3)BH$

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

$B=93.5\ ft^(2)$

$H=6\ ft$

substitute

$V=(1)/(3)(93.5)(6)=187\ ft^(3)$

Answer 2

Answer:

Answer:The answer is 187 ft to the 3 power

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Brainly for correct step by step explanation <3
What is 12% of 17.5?

PLS HELP
simplify the expression
(16y^5/4y^3)^12
or
(16y54y3)12

Answers

Answer:

If this is for the k12 test then it is 2y.

I just took the test.

Answer:

4y^14

Step-by-step explanation:

you would look at the equation, and because it seems to be a division problem inside the ( ) then you would find the difference of the exponents. and divide the numbers in front of y. So, it would go from (16y^5/ 4y^3)^12, to (4y^2)^12. Then, you would add the exponents because it is multiplication. So you would get 4y^14.

The length of and width of a rectangle playground are shown below. Anna makes a scale model of the playground using a scale of 4 cm:25 feet. I'm sorry no picture but imagine and rectangle with 500ft on the right side and 750 feet at the T the bottom width. Please help

Answers

Given:
Scale of 4 cm : 25 feet

Rectangle with actual measurements of 750 feet and 500 feet.

750 feet / 25 feet = 30
30 * 4cm = 120 cm

500 feet / 25 feet = 20
20 * 4cm = 80 cm

The scale model of the playground should have a length of 120 cm and a width of 80 cm.

There were 75 rocks is Boxes A,B, and C. After moving 28 rocks fro Box A to B, 24 rocks from B to C, and 19 rocks from C to A,there was an equal number of rocks in each box. How many rocks were in Box A in the beginning?

Answers

I actually did this kind of question earlier today in a math contest. It took me a while to get it, but it was quite easy.

So we basically know that:

$A+B+C=75$

Now here comes the tricky part. We have to determine how many rocks there are in each box.

The easy thing about this is that we already know what will be in the boxes after the movements. It's just $75÷3$ .

So now we know, that after the movements, each of the boxes will contain 12.

Lets do the operations on the boxes.

$A-28+19=25$
$B-24+28=25$
$C-19+24=25$

And we find that:

$A=34$
$B=21$
$C=20$

And from that, we get:

$A=34$

Hope that helped! Enjoy.

~Cam943, Junior Moderator

Can someone help me with 10 math questions (: A cone has a radius of 5 inches and a height of 18 inches.

What is the exact volume of the cone?

A.
150π in3

B.
300π in3

C.
450π in3

D.
540π in3

Answers

so volue of a cone=1/3 times (area of base[which is a circle]) times height

area of base=area of circle=pi time radius^2
area=pi times 5^2
area=pi times 25=25pi

1/3 times 25pi times 18
25pi times 18 times 1/3
25pi times 18/3
25pi times 6=150pi

the answer is 150π in^3 or 150π cubic inches or C

( to solve, aprox pi to 3.141592 an multiply 150 by 3.141592=471.239 in^3)

A bottling machine filled 3 of every 8 bottles with grape juice. The bottling machine filled 144 bottles altogether. How many of these bottles were filled with grape juice?

Answers

Well I would divide 8 and 144 first.

That gives you 18

Then multiply 3 by 18 and you get 54

So 54 out of 144 bottles were filled with grape juice.

Fairly simple. :)

Hope this helps you!

Ava is 23 cm Taller than olivia, and olivia is half the height of lucas. if Lukas is 1.78 meters tall how tall are ava and Olivia? Express there heights in cm.

Answers

1.12 meters, which is 112 centimeters :)

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