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nika2105 [10]
3 years ago
7

Which of the following is the formula for the volume of a pyramid with base area B and height h?

Mathematics
2 answers:
kolezko [41]3 years ago
6 0

Answer:

Correct choice is A.

Step-by-step explanation:

We have to find about which of the given choices is the formula for the volume of a pyramid with base area B and height h.

We know that formula of volume of pyramid is given by:

volume = \frac{1}{3}\left(Base\ area\right)\left(Height\right)

Plug the given values

volume = \frac{1}{3}\left(B\right)\left(h\right)

So the correct choice is A.

My name is Ann [436]3 years ago
3 0

Answer: A.  \dfrac{1}{3}\times\text{B}\times\text{h}

Step-by-step explanation:

We know that the volume of a pyramid is given by :-

\text{Volume}=\dfrac{1}{3}\times\text{Base Area of the pyramid}\times\text{Height of pyramid}

Let B be the Base Area of the pyramid and h be the Height of pyramid, then the formula for the volume of a pyramid with base area B and height h will become :-

\text{Volume}=\dfrac{1}{3}\times\text{B}\times\text{h}

Hence, the formula for the volume of a pyramid with base area B and height h =\dfrac{1}{3}\times\text{B}\times\text{h}

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Prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a un
tekilochka [14]

Answer with Step-by-step explanation:

We are given that A, B and C are subsets of universal set U.

We have to prove that

A\cap (B-C)=(A\cap B)-(A\cap C)

Proof:

Let x\in A\cap (B-C)

Then x\in A and x\in(B-C)

When x\in ( B-C)then x\in B but x\notin C

Therefore, x\in( A\cap B) but x\notin (A\cap C)

Hence, it is true.

Conversely , Let x\in(A\cap B) but x\notin(A\cap C)

Then x\in A and x\in B

When x\notin ( A\cap C) then x\notin C

Therefor,x\in A\cap (B-C)

Hence, the statement is true.

5 0
3 years ago
Will mark as brainliest (must show work)
Sever21 [200]

Answer:

46

Step-by-step explanation:

With those problems if you are not given a picture is good we draw one.

Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW  then

m < XVY = m < YVW

      2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms

      2x-x = 15-7, combine like terms

           x = 8

From the picture and the given we see that

m < XVW = m < XVY + m < YVW

m < XVW = 2x+7 + x+15 , combine like terms

m < XVW = 3x + 22, substitute x for 8

m < XVW = 3*8 + 22

m < XVW = 46

Check our work:

m < XVY =  2x+7  = 2*8 +7 = 16 +7 = 23

m < YVW =  x+15 = 8 +15 = 23

m < XVW = m < XVY + m < YVW = 23+23 =46

3 0
2 years ago
Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Ghella [55]

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

400 represents the weight of the piano

1600 represents the max weight.

8 0
2 years ago
The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.
miv72 [106K]

Answer:

The interior angles are 70°,65°,80°,155° and 170°

Step-by-step explanation:

step 1

Find the sum of the interior angles of the pentagon

The sum is equal to

S=(n-2)*180°

where

n is the number of sides of polygon

n=5 (pentagon)

substitute

S=(5-2)*180°=540°

step 2

Find the value of x

Sum the given angles and equate to 540

x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°

7x+50=540°

7x=490°

x=70°

step 3

Find all the angles

x=70°

(x-5)=(70-5)=65°

(x+10)=(70+10)=80°

(2x+15)=(2*70+15)=155°

(2x+30)=(2*70+30)=170°

8 0
3 years ago
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3 years ago
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