What is the relationship between volume of prism and pyramid when their bases and height are the same?

Answers

Answer 1

A triangular prism and a triangular pyramid with identical bases and heights are related by the fact that the prism's volume is three times that of the pyramid.

When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism. In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. This fact enables us to see a correlation between the volumes of a prism and a pyramid when their bases and heights are equal. That is, a prism with an identical height and base has a volume that is 1/3 that of a pyramid.

  Volume of a prism = (area of base) * height

   Volume of a pyramid = 1/3 (area of the base) * height

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Related Questions

Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.

Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.

Answers

Answer:

≈ 6 hours 10 minutes

Step-by-step explanation:

Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hourArianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hour

Together they can wash in 1 hour:

1/14 + 1/11 = 25/154

Time needed to wash all the cars:

154/25 = 6.16 hours ≈ 6 hours 10 minutes

How do u figure out the rise and run without a graph

Answers

Change in y over change in x aka y2-y1/x2-x1
Plug in the x and y variables and solve.

Can any of you guys help

Answers

Answer:

5

Step-by-step explanation:

Pythagoras theorem is a² = b² + c² (where a is the hypotenuse or the longest side)

To find the shorter side, you rearrange it so it becomes c² = a² - b² (whether it is c or b doesn't matter)

So √13² - 12² = 5

y = -5
2x – 4y = 18
PLEASE HELP NO LINKS
LINKS=REPORT

Answers

Answer:

x= -1

Step-by-step explanation:

since y is -5 then we would put that in the second equation:

2x - 4(-5) = 18

then it’s:

2x + 20 = 18

Then we subtract 20 from both sides

2x = -2

Last we divide both by 2 and we get x = -1

Answer:

x= -1

Step-by-step explanation:

2x + 20 =18

2x = 18 - 20

x = -1

There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card

Answers

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

I’ll give Brainly est help

Answers

Answer:

B. 25

Step-by-step explanation:

It’s 20, to find the area you have to do L time W and 4 time 5 is 20

Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)

Answers

i think it’s number 4 not sure though

85 EN PHYSIQUE Fonctionnement de l'ail
Le fonctionnement optique de l'oeil peut être modélisé
de façon simplifiée par une lentille simple convergente,
le cristallin. Les images des objets se forment sur la rétine,
modélisée sur le schéma par la droite (A'B').
La distance entre le cristallin et la rétine est fixe et dans la
suite, on prendra OA' = 20 mm.
Le point B', sommet de l'image formée, est construit
comme l'intersection:
- du rayon lumineux non dévié, qui passe par le sommet
B de l'objet et le centre optique o de la lentille (rayon en
rouge sur le schéma).
- du rayon lumineux parallèle à l'axe et issu du sommet B
de l'objet qui change de trajectoire après avoir traversé
la lentille et passe par le foyer F (rayon en vert sur le
schéma).
Lentille mince
convergente
lumière
B
Objet
Foyer F.
A
A
Axe principal
Image
B'
+
OF
On suppose dans la suite que OA> OF comme ci-dessus
pour avoir une image réelle.
OA'
1. Démontrer que
A'B'
A'B' A'F
puis que
ОА AB
AB OF
A'F OA'
1
En déduire que
puis que
OF
ОА
OA OA'
2. a. On suppose que OA = 25 m. Calculer OF.
b. Si OA> 25, que peut-on en déduire sur
1
ОА
Et sur
OF
puis sur OF?
C. Pourquoi dit-on en physique que « lorsque l'oeil
regarde un objet à l'infini, le foyer Fest situé sur la
rétine >>?
?
Chapitre 3. Puissances. Fonction cube et fonction inverse​

Answers

Answer:

English

Step-by-step explanation:

f(x) = cos(x - 90°)
Which is the value of f(0°)?
A 1
B 0
C-1
1
2

Answers

The answer is B.
f(x)= cos(x-90) = -cos(90-x)
(If you know how to, draw the CAST chart)
-cos(90-x)= -sin(x)
Sub. x=0, -sin(0)= 0

As a goalie , Brooke is practicing blocking goals . Out of 750 shots , she blocks 600 of them . What is the experimental probability that she will block the next shot?

Answers

Answer:

80%

Step-by-step explanation:

Divide 600 by 750 to find the probability

HELPP MEE PLSSSS RNNNN NO LINKS OR I WILL REPORT YOU!!
In the slope-intercept equation for a line, the coefficient of the
-term gives the slope

Answers

Answer:

x

Step-by-step explanation:

The formula of a line in its slope-intercept form is

y= mx + b

the slope is indicated by “m” that multiply the x

In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?

Answers

Answer:

1995

Step-by-step explanation:

Percent of students that get more than 8 hours of sleep = 100 -43 = 57%

Number of students that get more than 8 hours of sleep = 57% x 3500

0.57 x 3500 = 1995 students

In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. Find the probability of selecting an SRS of 14,500 students in which less than 15% had ridden with a driver who had been drinking alcohol within the previous month.

Answers

Maybe bf of the 24 election it would be better to have the 15% and it was probably be the way it would be through alcohol

Please help me with this one

Answers

Answer:

Step-by-step explanation:

B two pairs of sides have the same slope.

I've done this before.

A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2 + 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)

Answers

Answer:

The ball will take approximately 2.165 seconds.

Step-by-step explanation:

The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:

[tex]-16\cdot t^{2}+75 = 0[/tex] (1)

[tex]16\cdot t^{2} = 75[/tex]

[tex]t = \sqrt{\frac{75}{16} }[/tex]

[tex]t \approx 2.165\,s[/tex]

The ball will take approximately 2.165 seconds.

O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31

Answers

Your answer is option 3:
1. You need to replace the numbers into
Y=mx+b
2 piecing it all together your answer will b:
Y=3x+6

Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
rate of speed. Which equation would accurately give the total number of miles, M, for
any given number of hours, h?

Answers

Answer:

M = 75h

Step-by-step explanation: The way you get this answer is my dividing 50/40 = 1.25. then do 1.25x60 (1 hr because you have to continue to miles per hour) which gives 75H.

PLZZ HELP!! ASAP

Two 3 digit numbers are formed using the same integers and when they are added the form another 3 digit number with the same integers, find the added number?

options
a) 954
b) 682
c) 488
d) 890​

Answers

as for my ans is C...

can you correct me if im wrongX

Michael took a graduate course at Caldwell college that cost $1,875. He had to take a student loan at a rate of 5 1/2% out to pay for it. If he plans on paying the loan off in 2 years, how much will he pay in total for the class?

Answers

Answer:

interest paid = $206.25

course = $1,875.00

total = $2,081.25

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 1875(.055)(2)

I = 206.25

Write an equivalent ratio for 1:2

Answers

Answer:

2:4

Step-by-step explanation:

Answer:

3:6

4:8

5:10

6:12

7:14

8:16

etc...

someone pls help im struggling if you do tysm ! <333 :)

Answers

Answer:

everything except -1 will be the answer

Step-by-step explanation:

4n + 13 < 9

n < -1

if n is -1, the answer would be 9(INCORRECT)

if n is -2, the answer would be 5(CORRECT)

if n is -3, the answer would be 1(CORRECT)

if n is -4, the answer would be -3(CORRECT)

the answer should be the first one

In the data set below, what is the mode? 9, 4, 9, 2, 8, 2, 1

Answers

Answer:

9 and 2

Step-by-step explanation:

both come out 2 times

Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?

Answers

Don’t go to the persons above me!!!! link I’m warning you!!!!

if bc is the diameter of the circle below, what is the area of the circle

Answers

Answer:

option a.

radius of the circle=3 units.

area of the circle= pi×r²

area of circle=pi×3²

area of circle=pi×9units²

Answer:

It's A. 9π square units.

Step-by-step explanation:

You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.

PLZ HELP THIS IS TIMED

Answers

Answer:

150

Step-by-step explanation:

116

Step-by-step explanation:

area of triangle is b times h divide by 2then for square is b times h

Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.

Answers

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

148

Step-by-step explanation:

148 x 3 = 444

444 + 148 = 592

(っ◔◡◔)っ ♥ Hope It Helps ♥

148 hamburgers were sold on Monday.

Let x be the number of hamburgers sold.

Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.

The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:

x + 3x = 592

Combine like terms:

4x = 592

Now, solve for x by dividing both sides by 4:

x = 592 / 4

x = 148

Therefore, 148 hamburgers were sold on Monday.

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twice a certain number x is less than 8. Find the range of values of the number​

Answers

Answer:

F=2x +2

Step-by-step explanation:

The range of values for the certain number "x" is all real numbers less than 4.

Let's represent the certain number as "x."

The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:

2x < 8

Now, to find the range of values for "x," we need to solve for "x."

Divide both sides by 2:

x < 8/2

x < 4

So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.

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trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?​

Answers

Answer: 56.85

Step-by-step explanation:

So, what you have to do is multiply 15 x 3.79=56.85.

If you place a 38-foot ladder against the top of a 25-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answers

Answer:

12

Step-by-step explanation:

Answer:

If you are on delta math its 28.6

Step-by-step explanation:

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