A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer 1

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m


Related Questions

math question screen shot below

Answers

Answer:

a.3 m/s

Step-by-step explanation:

90 divided by 30

plz give brainliesttt

Two histograms showing the number of pets owned by boys and girls in a science class are each skewed left. Which measure of variability should be used to describe the data? mean median standard deviation interquartile range

Answers

Answer: D : interquartile range

Step-by-step explanation: I just took the test

The measure of variability which should be used in this case interquartile range. so option D is correct.

What is quartile ?

A quartile is a type of quantile that divides a data set into four equal parts, or quarters. The first quartile (Q1) marks the 25th percentile of the data, the second quartile (Q2) marks the 50th percentile, or median, of the data, and the third quartile (Q3) marks the 75th percentile of the data. These quartiles divide the data into four equal parts and provide information about the distribution of the data and its spread. The interquartile range (IQR), which is the difference between Q3 and Q1, is a measure of the spread of the middle 50% of the data.

When the data is skewed, the mean can be misleading as it is affected by the skewness of the data. In such cases, the median is a better measure of central tendency that represents the typical value of the data.

Therefore, the measure of variability that should be used to describe the data in this case is the interquartile range (IQR). IQR is a measure of spread that is not affected by extreme values or outliers and is often used with skewed data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the data.

So, the answer is the interquartile range.

To know more quartile check:

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10x+4y=−2
5x−2y=2


Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Multiply the bottom equation by 2, then subtract the bottom equation from the top equation.

(Choice B)
B
Multiply the top equation by 1/2, then add the equations.


(choice C)
Add the equations.

Answers

choice c us the correct answer

Each question Sandra answers incorrectly changes her overall score by - points. Sandra's

overall score was -4 points, and then she answered the last question incorrectly. What

was Sandra's final score?

Answers

Answer: -5

Step-by-step explanation:

For each question Sandra answered incorrectly her overall score was changed by -1 point.

Her overall score was -4 before she attempted her last question incorrectly. Since a wrong answer gives her -1 point and her overall is -4

We add her overall and her point from last question which sums up to -5.

So sandras final score is -5

Answer:-5 1/4

Step-by-step explanation:

I need help with this math problem please

Answers

Answer:

t has 2 real solutions

t is about 0.172 or -1.19

Step-by-step explanation:

h= height=2

h=-4.9t^2-5t+3

2= -4.9t^2-5t+3

Solve for t

The area of a trapezoid is 36 square inches. What is the new area of the trapezoid if the two bases were decreased by one-third
Answer:_square inches

Answers

Answer:

21 square inches

Step-by-step explanation:

Use any numbers within reason that multiply to 36

Ex: H=9, Lower base= 2, Upper base= 5

2/3 of 2=1. 1/3

2/3 of 5 = 3 1/3

1. 1/3+3. 1/3=4 2/3

4 2/3 x 9 = 42

42/2 = 21

(The beginning dimensions do not matter, as long as they equal 36.)

Identify the 5th term in the sequence assuming that the sequence is either arithmetic or geometric:
94.5, 95.8, 97.1, 98.4,....

Answers

Answer:99.7

Step-by-step explanation:

The vertiacal axis of a dmand curve shows

Answers

Answer:

it shows the price of a product.

Step-by-step explanation:

hope this helps :-)

I need the answer to this question

Answers

Answer: B

Explanation: just is

Use the Counting Principle to find the probability.

rolling a 1 on each of 4 number cubes?

Answers

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

Which phrase represents this expression?

(47−17)×4


A. 4 times the difference of 47 and 17

B. 4 times the difference of 17 and 47

C. the difference of the product of 4 times 17 and 47

D. the difference of 47 and the product of 4 times 17

Answers

A. 4 times the difference of 47 and 17

50 POINTS FOR THIS 1 QUESTION I JUST NEED THE ANSWER

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.

Answers

She can do research- instead of looking for something that is just listed, she should spend time looking for a good deal
She can buy a used phone- a used phone is usually cheaper

If Lily only has $500 to buy a smartphone, for him to get a good deal, he can decide to do the following:

Check online for the price range of the phones he is interested in so that he can get the best.

Look for a trusted seller of phones and discuss with the trader concerning his budget.

He can as well find additional money to the current amount he has is not sufficient to get the phone that suits his taste.

Learn more here: https://brainly.com/question/8647699

What is x2 + 6x = x2 - 6x as a system?

Answers

Answer:

x = 0

Step-by-step explanation:

I WENT TO PHOTO MATH

H O P E I T H E L P S ! ™©

Answer:

A. y=x^2+6x

y= x^2-6x

the answer to the second part is 0

Step-by-step explanation:

on edgenuity 2020 :))

If it is 5 degrees outside, and the temperature will drop 12
degrees in the next six hours, what will the temperature be in six
hours?

Answers

Answer:

-7 degrees

Step-by-step explanation:

Dropping 12 degrees means that it will get colder by 12 degrees. The colder it gets, the lower the temperature. 5 degrees - the current temperature, is going to be dropped by 12 degrees. To calculate this: 5-12 = -7 (degrees)

Caelan has $ 7,500 in an account that earns 3.2% compounded interest annually. If she doesn't touch the money, how much will it be after 5 years?

Answers

7500(1+0.032)5=

1.032 to the power of 5= 1.171

7500x 1.171=8,782

Need help please owo with all of them

Answers

First one d second c and third one a

Answer:

d, c and a

Step-by-step explanation:

O///O

In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?

Answers

Answer:

15:1

Step-by-step explanation:

15 apples trees: 1 cherry tree

Extr. p
Help Me Quick!! thank you so much in advance!

Answers

Answer:

option ;

Step-by-step explanation:

Your answer here will be

;

Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has
the same number of seeds.

Answers

15 pots

Step by step explanation

....

We can have the following cases:

5 pots and each pot has 15 seeds.

3 pots and each pot has 25 seeds.

15 pots and each pot has 5 seeds.

What are factors of a number?

Factors are the numbers that divides another number with no remainder.

Given,

Davi has 75 flower seeds.
Every seed is planted.

Every pot has the same number of seeds.

Find the number of pots.

We have,

Total seeds = 75

Since every seed must be planted we can have the following cases.

Case1 - 5 x 15

Here there are 5 pots and each pot has 15 seeds

Case2 - 3 x 25

Here there are 3 pots and each pot has 25 seeds.

Case3 - 15 x 5

Here there are 15 pots and each pot has 5 seeds.

Thus we can have the following answer:

5 pots and each pot has 15 seeds.

3 pots and each pot has 25 seeds.

15 pots and each pot has 5 seeds.

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Solve the following proportion 9/x = 3/12

A. 36
B. 6
C. 24

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{9}{x}=\frac{3}{12}\\\\[/tex]

Cross multiply,

9*12 = x*3

[tex]\frac{9*12}{3}=x[/tex]

x = 3*12

x = 36

Answer:

36

Step-by-step explanation: Hope this helps! :)

PLEASE HELP WILL MARK BRAINLIEST

Denise and Jacqueline are training for a swimming and running race.
• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant
pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.
She runs at a constant pace of 8 minutes per mile. Her goal is to train for at
least 60 minutes. *
Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline
runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your
work. Respond in the space provided.

Answers

Answer:

45

Step-by-step explanation:

is my answer correct? // im not really sure so I need help.

Answers

Answer:

I believe it is lol I'm sorry if Its wrong A just seems correct to me

Step-by-step explanation:

A snack mix recipe calls for 2 1/2 cups of pretzels, 4 1/2 cups of dry cereal, 2 1/4 or peanuts, and 3/4 cups of raisins.If you want to make servings of 3/4 cup each, how many can you have with those ingredients?

Answers

Answer:

13 1/3 cups

Step-by-step explanation:

find common denominator then add all of the fractions then divide by 3/4

i dont know this please help

Answers

Answer:

b- (1,15)

Step-by-step explanation:

Answer:

I believe the answer is B.

Step-by-step explanation:

By using the process of elimination, we can exclude A because (0,0) is the origin and doesn't exactly represent anything. C can be excluded too because if you look on the x-axis for the number 15, you won't find anything, the graph isn't big enough for that so it's not the answer. Although D could be it, it doesn't represent it well. So therefore, the answer is B because for every person fifteen dollars are paid. I hoped this helped! <3

What is the range of the data? ​

Answers

20
Explanation: 24(maximum)-4(minimum)=20

f(x) = 5x^2 - x + 8
g(x) = 9x - 1

Answers

Answer:

Step-by-step explanation:

But there is not a question?

What is the reciprocal of 3/4?
2
4/3
3/4
1/4 lb
none of the above

Answers

The reciprocal of 3/4 is 4/3.

Hope it will be helpful to u

The answer is 4/3. The reciprocal is just that opposite which is flipped around.

−8⋅f(0)+4⋅g(−8)=
Please help

Answers

Answer:

-32

Step-by-step explanation:

Look at the attachment

Functions can be represented as equations and graphs.

The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32

From the graph, we have the following values.

[tex]\mathbf{f(0)= 1}[/tex]

[tex]\mathbf{g(-8)= -6}[/tex]

So, we have:

[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]

Simplify

[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]

[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]

Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32

Read more about functions and equations at:

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HELP ME PLZZZ!!!!!!!!!!!!!

Answers

not completely sure but i would go with D
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