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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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4 x ((-4)= (-2) - (-3) + (-6))
sergij07 [2.7K]

Answer:

x=5/16

Step-by-step explanation:

Let's solve your equation step-by-step.

4x(−4)=−2−(−3)−6

Step 1: Simplify both sides of the equation.

4x(−4)=−2−(−3)−6

−16x=−2+3+−6

−16x=(−2+3+−6)(Combine Like Terms)

−16x=−5

−16x=−5

Step 2: Divide both sides by -16.

−16x

−16

=−5/−16

x=5/16

can I be the brainiest please!!

4 0
2 years ago
. Orlando needs to fix windows in his house. He must buy 3 feets of wood,
ira [324]

Answer:(7x3)+(4x24)=117

Step-by-step explanation:

Since he needs 3 feet of wood and it is 7 dollar per foot, you need to multiply 7 by 3. Since he needs 4 pieces of glass and its 24 dollars per glass multiply 4 by 24. Add the products. Ur done!

4 0
2 years ago
Read 2 more answers
Please help me with this problem
deff fn [24]

Answer:

C.  -3(√y)(∛x²)

Step-by-step explanation:

Recall the rule for exponents with fractions.  The numerator represents the power the variable is raised by, and the denominator represents the which root will be taken.  

y^1/2 equals √y

and x^2/3  equals ∛x²

So the answer is -3(√y)(∛x²)

Look at the attached image for more clarification

7 0
2 years ago
Consider the square root function f(x) = sqrt x + 2 + 1 to complete the table of values below. find each missing value and then
Scrat [10]

Given the function :

f(x)=\sqrt[]{x+2}+1

We need to find each missing value

Given x = -3 , -2 , -1 , 2 , 7

So, substitute with each value of x to find the corresponding value of f(x)

x=-3\rightarrow f(x)=\sqrt[]{-3+2}+1=\sqrt[]{-1}+1

So, there is no value for f(x) at x = -3 (the function undefined because the square root of -1)

\begin{gathered} x=-2\rightarrow f(x)=\sqrt[]{-2+2}+1=\sqrt[]{0}+1=0+1=1 \\  \\ x=-1\rightarrow f(x)=\sqrt[]{-1+2}+1=\sqrt[]{1}+1=1+1=2 \\  \\ x=2\rightarrow f(x)=\sqrt[]{2+2}+1=\sqrt[]{4}+1=2+1=3 \\  \\ x=7\rightarrow f(x)=\sqrt[]{7+2}+1=\sqrt[]{9}+1=3+1=4 \end{gathered}

the graph of the function and the points will be as shown in the following image :

5 0
11 months ago
Factor completely: x^2 - 5x - 6
Tom [10]

Answer:

x×x-5x-6

x × -4X - 6

Step-by-step explanation:

x×x-5x-6

x × -4X - 6

6 0
3 years ago
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