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 volume of the pyramid to the volume of the prism?

Answers

Answer 1

Answer: okay let h be the height of prism so ATQ, height of pyramid = 3h put this in the formule The volume of a pyramid = base x height x (1/3) The volume of a prism = base x height and find their ratio so simple you will get the answer as 1

Answer 2

Answer:

Answer:

its 27 got i right on edge 2021

Step-by-step explanation:

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The graph of an inequality has an open circle at 3.9, and the ray moves to the right. What inequality is graphed?

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 45x + 20
Car B
y = 35x + 60
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
3 hours, 200 miles
3 hours, 180 miles
4 hours, 200 miles
4 hours, 180 miles

Answers

Given the equations for cars A and B, we are to find the time when their distances would be the same. Since y is the distance, we have to equate both expressions in terms of y to solve for the time (x):

y = 45x + 20
y = 35x + 60

45x + 20 = 35x + 60
45x - 35x = 60 - 20
10x = 40
x = 4 ; after 4 hours, they will be at the same distance from the starting point.

Using the obtained value of x, we solve for the distance using either of the equations:

y = 45(4) + 20
y = 180 + 20
y = 200

y = 35x + 60
y = 35(4) + 60
y = 140 + 60
y = 200

Therefore, the correct answer is 4 hours, 200 miles

Answer:

4 hours, 200 miles

Step-by-step explanation:

Solve each equation by factoring.
1) a^2- 9a + 14 = 0

Answers

it’s c [7,2] for sure! :)

Which expression forms an equation with the given expression?
8 • 7 - 4 =

Answers

The answer is 52 hopefully this help

Given x is an acute angle with sin(x)=1/3, find the value of cos (4x) .

Answers

Answer:

Step-by-step explanation:

Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply.–11
–50xy
–40x2
24
10y

Answers

Answer:

–50xy

–40x2

Will not change the Greatest Common Factor.

Step-by-step explanation:

Greatest common factor is the highest factor that divides 2 or more number.

We can find the GCF by multiplying all the factors that are common to each number.

Factors of $36x^(3)$ =1,2,3,4,6,9,12,18, 36 and $x$ , $x^(2)$ ,, $x^(3)$

Factors of $22x^(2)$ =1,2,11, $x$ and $x^(2)$

Factors of $144x$ =1,2,3,4,6,8,9,12,16,18,24,36 and $x$ and more.

So the common factors to all three numbers are 1,2 and x.

So GCF = $1*2*x=2x$

If we use 11 it will change the GCF to 11.

If we use $50xy$ it will not change the GCF.

If we use 40 $40x^(2)$ it will not change the GCF.

IF we use 24 it will change the GCF.

If we use 10y it will change the GCF.

Given:

36x³ - 22x² - 144x

GCF:
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

22 ÷ 2 = 11

144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

2 is the GCF of all terms. We can add 24. It would not change the GCF of the polynomial.

36x³ - 22x² - 144x + 24

2(18x³ - 11x² - 72x + 12)

In a survey of 150 students, 90 students were taking algebra and 30 were taking biology. What is the least number of students who could have been taking both courses? What is the greatest number of students who could be taking both courses? What is the greatest number of students who could have been taking neither course?

Answers

The least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Given that, there are a total of 150 students out of which 90 were taking algebra and 30 were taking biology.

The remaining students are:
150 - 90 - 30

= 30

Now, the remaining 30 students may take both subjects or neither.

Therefore, the least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

To learn more about subtraction, click here:

brainly.com/question/2346316

#SPJ2

30 students could of been taking both courses and 60 with no course

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