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AnnyKZ [126]
3 years ago
13

This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the vol

ume of the pyramid to the volume of the prism? A. `("volume of pyramid")/("volume of prism")= 1` B. `("volume of pyramid")/("volume of prism")= 1/9` C. `("volume of pyramid")/("volume of prism")= 3` D. `("volume of pyramid")/("volume of prism")= 2/3`
Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

Option A is the correct answer.

Explanation:

 Let A be the base area and h be the height of prism.

 Volume of prism =  Base area x Height = a x h =ah

 Now we have base area of pyramid = Base area of prism = a ( both have same type of base)

Height of pyramid = 3 x height of prism = 3h

Volume of pyramid = 1/3 x Base area x Height = 1/3 x a x 3h = ah

Comparing both volumes, we will get Volume of prism = Volume of pyramid

So their ratio is 1.

Option A is the correct answer.

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<h3>Answer:   f(x) = x + 13 </h3>

This is the same as y = x+13

=============================================================

Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

8 0
3 years ago
Which of the following is not a way to represent the solution of the inequality 2(x + 1) greater than or equal to 20? (1 point)
madreJ [45]
2x+2≥20
2x≥18
x≥9

closed circle on 9 because of the = in ≥ and the line going off to the right

please ask if you need more information or clarification
5 0
3 years ago
X/a+x/b=1<br>make x the subject of the formular​
monitta

Answer:

x = \frac{ab}{b+a}

Step-by-step explanation:

Given

\frac{x}{a} + \frac{x}{b} = 1

Multiply through by ab to clear the fractions

bx + ax = ab ← factor out x from each term on the left side

x(b + a) = ab ← divide both sides by (b + a)

x = \frac{ab}{b+a}

8 0
3 years ago
MUSTONENTS
VMariaS [17]

Answer:

15 quarters

Step-by-step explanation:

15 quarters = $3.75

21 dimes = $2.10

15 + 21 = 36 coins

3.75 + 2.10 = 5.85

4 0
3 years ago
Solve for all values of x (x+9)2=4
serg [7]

Answer:

x = -7

Step-by-step explanation:

you have to distribute the 2 to what is in the parenthesis, then you get left with 2x+18=4 so subtract the 18 from both sides leaving you with 2x=-14 so you divide both by 2 leaving you with x=-7.

7 0
3 years ago
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