What is the base area of a square pyramid of volume 216 cm3 and height 8 cm?

Answers

Answer 1

Answer:

We have the formula for pyramid volume V = (B.h)/3 => B = 3V / h

=> B = (216 . 3)/8 = 81 m2

the base area of a square pyramid : 81 m2

Step-by-step explanation:

Answer 2

Answer:

81cm2

Step-by-step explanation:

Volume = 1/3Base area * height

216 =1/3x * 8

3/8*216 =8/3x *3/8

x=81cm2


Related Questions

Which set of ordered pairs represents a function?

Answers

Answer: B. {(-8,-2), (7,-2), (-9,2), (0,0)}
Explanation: A, C, and D all have a number in the x value that is repeated therefore making them not functions.

If someone can do this i will give 50 points and brainliest pleasee ASAP

Answers

Answer:

1) Parellel because if she had sliced perpendicular, she would have gotten a square and a triangle.

2) Perpendicular because if she had sliced parallel, she would have gotten a (once more) square and a triangle.

1) First shape and Last shape (the cylinder and the cone).

2) First shape and Second shape (the pyramid and the cone).

1) This would be a cone - I included a picture of it.

2) This would be a triangular pyramid - I included a picture of it.

Answer:

The person above me is right

Step-by-step explanation:

A storage box has a length of 4 inches, width of 4 inches and height of 3 1/2inches. What is the volume of the box?

Answers

V=LxWxH
4x4x3 1/2 = 56

can someone solve Pythagorean theorem​

Answers

Answer:

48 units

b= 48 units

Step-by-step explanation:

pythag is [tex]a^2+b^2=c^2[/tex]

we have a and c

so substitute them in

[tex]14^2+b^2=50^2[/tex]

now you can solve

[tex]196+b^2=2500[/tex]

subtract 196 from both sides

[tex]b^2=2500-196[/tex]

subtract

2500 - 196 = 2304

[tex]b^2=2304[/tex]

solve for the square root

square root of 2304= 48

therefore b= 48 units

250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science.

Let M be the even that a randomly selected student plans to major in mathematics and C be the event that a randomly selected student plans to major in computer science.

What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?

Answers

Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department.  In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program.  All Program C students take a minimum of five core math courses:  Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.

Step-by-step explanation: Hope this helps.

Answer:

2/5

8/25

2/25

16/25

Step-by-step explanation:

A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Kate wants to buy two shirts priced at $19 each. How much will she pay?

Answers

Answer:

$32.3

Step-by-step explanation:

First write 30% in the decimal form

30/100 = 0.3

than the equation written in the form

x = 19 + (19 - 0.3× 19)

x = 19 + ( 19 - 5.7)

x = 19 + 13.3

x =$ 32.3

So, Kate will pay $32.3

A shipping company selects 75 random packages to check their weight.It finds that 3 packages were weighed incorrectly. How many packages out of 3000 should the company predict have an incorrect weight?

Answers

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

How are rectangles and parallelograms different?
rectangles have four right angles; parallelograms have two sets of congruent angles.
parallelograms have four congruent sides; rectangles have four sides that are not congruent.
rectangles have four congruent sides; parallelograms have four sides that are not congruent.
parallelograms have four right angles; rectangles have two sets of congruent angles.

Answers

Answer:

B

Step-by-step explanation:

What is the average rate of change of g over the interval 0 < x < 9?
Give an exact number.

Answers

Answer:

Step-by-step explanation:

10/9

Answer:

10/9

Step-by-step explanation:

PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph

Answers

if you start at the point (0,1), you are going to go up and over to (-2,4), which means you will go up 3 and to the left, which means negative, 2
rise/run
3/-2

There students Matthew,Thomson and Amos shared 15000 in the ratio 5:2:x respectively.If Matthew's share is 7500 calculate the value of x

Answers

Answer:

x= 3

Step-by-step explanation:

Given data

Ratio= 5:2:x

Combined ratio= 5+2+x

                        = 7+x

Total amount of money= $15000

Let us apply the part to all method

Hence for Matthew whose share = $7500

5/7+x=  7500/15000

Cross multiply we have

7500*(7+x)= 15000*5

52500+7500x= 75000

Collect like terms we have

7500x= 75000-52500

7500x=22500

x= 22500/7500

x=3

Hence the value of x= 3

2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider


purchasing a hybrid vehicle


a. The firm would like their pilot study to have a margin of error that is no more than 4%. How many


people should be in the pilot study in order to meet this goal at the 95% confidence level?


In a sample of 600 potential car buyers, 376 indicated that they would consider purchasing a hybrid


gas/electric powered car.


b. What is the point estimate for the proportion of potential car buyers that would consider buying a


hybrid vehicle? Calculate this value.


c. Find the 95% confidence interval for the true population proportion of potential car buyers that


would consider purchasing a hybrid vehicle.


d. Name two ways we could reduce the margin of error (Hint: think about the sample size n and the


confidence level)

Answers

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62[tex]\overline 6[/tex]

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

[tex]n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}[/tex]

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

[tex]n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25[/tex]

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

[tex]\hat p = \dfrac{x}{n}[/tex]

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, [tex]\hat p[/tex] = 376/600 = 0.62[tex]\overline 6[/tex]

c. The confidence interval for a proportion is given as follows

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

Therefore, we get;

[tex]CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}[/tex]

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

[tex]MOE_\gamma = z_\gamma \times \sqrt{\dfrac{\sigma ^2}{n} }[/tex]

Where;

[tex]MOE_\gamma[/tex] = Margin of error at a given level of confidence

[tex]z_\gamma[/tex] = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

The school supply store is selling two different sizes of similar folders. The smaller folder is 6 inches wide and 9 inches
tall. The larger folder is 12 inches tall.
What is the perimeter of the larger folder?

Answers

Answer:

The perimeter of the larger folder is 40 in

Step-by-step explanation:

This is because it says the two folders are similar this means that the width of the larger folder is 8 inches because the scale factor is 4/3. You can see this when you divide the length of the larger folder by the length of the smaller folder. So, if you solve 8+12+8+12 to find the perimeter you will get 40 inches

Yasmin purchase 6 heads of cabbage that each 2 3/8 pounds. How much did the cabbage weigh all together?

Answers

Answer:

17.25 lbs

Step-by-step explanation:

6 x 2 3/8

14 1/4

Please correct me if Im wrong

The screenshot has the question

Answers

Hopefully this helps

6 and 24 ore consecutive terms in a geometric sequence. The term following 24 is what ?​

Answers

24 is The total!!!!!

can you help me??????????

Answers

Answer:

D

Step-by-step explanation:

if you look at the first, second, and third it makes a crooked line. Linear equations MUST have a straight line, or it is not a linear function.

Write the function that fits this graph:
-5
0
5

Answers

Answer:

f(x) = x

Step-by-step explanation:

A or B
Choose 1 answer:

Answers

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.

Find the perimeter of GHI

Answers

it should be 140 if not I'm srry

The maximum walking speed S. in feet per second, of an animal can be modeled by the equation
S = L where g = 32 ft/sec and L is the length in feet of the animal's leg. To the nearest
hundredth, how many times greater is the maximum walking speed of a giraffe with a leg length of 6
feet than a hippopotamus with a leg length of 3 feet?
0.71 times
4.06 times
2.00 times
11 time

Answers

Answer:

The answer is 1.41 times

Step-by-step explanation: I had the

Answer:

1.41

Step-by-step explanation:

If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?



A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2

Answers

Answer:

C. b = -1, c = -2

Step-by-step explanation:

2 roots: x = -1 and x = 2

(x+1)(x-2) = 0

y = x² - x -2

b= -1 , c = -2

Answer:

The andswer is C    b= -1 c=-2

Step-by-step explanation:

I took the quiz!!

can someone help me plz ​

Answers

Answer:

9442 lb

Step-by-step explanation:

First find the volume of the tank.  This being a sphere, the volume is V =(4/3)π·r³.  Here the diameter is 17 ft, so the radius, r, is half that:  8.5 ft.

Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.

Water weighs 62.4 lb/ft³.  To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:

×

(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb

Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!

Answers

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Tina said that circles in a Venn diagram must always overlap. Is Tina correct yes or no? Explain your answer.​

Answers

Answer:

No

Step-by-step explanation:

This is because a Venn diagram is made up of two or more circles. The Venn diagram is used to find the amount that everyone agrees with. This means you have to make them overlap in order to find the answer.

cos 55 degrees = sin x

Answers

Sun is 35. Since=cos(90-x)

PLS HELP, also watch out for a person sending links there info grabbing dont open

Convert the rectangular coordinates (−2,2sqr3) to polar form. Let r>0 and 0≤θ<2π.

Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.

Answers

Answer:

ler we have a point (x, y) and,

in molar form°

Z = √(x² + y² ) and 0 = tan-¹(y/x).

Since the point (2√3, -2) is in the fourth quadrant, make certain that your angle is also in the fourth quadrant.

What is the sign of a.
when a=0 and b < 0?
b
Choose 1 answer:
Positive
Negative
Zero

Answers

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

Please mark brainliest to get your points back!

what is 1.92 divided by 3?

Answers

1.92 divided 3 is 0.64

Answer = 0.64

Hope this helps!

Stay safe!

The perimeter of the base of a square pyramid is 64 inches. The slant height of the pyramid is 9 inches. What is the surface area of the pyramid.

Answers

8350.92=surface area

A=lw+l(w
2)2+h2+w(l
2)2+h2

Answer:

8350.92 = Surface area

Step-by-step explanation:

Use formulas

Length times width for the base

Base times height / 2 for the Triangles

Add them all up and you've got your answer

Other Questions
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If there are 900 students at Gina's school, how many ofthem would choose fall as their favorite season? Wolf Pups (1) To establish a wolf pack in the wild, a male and a female wolf must first form what is called a breeding pear. (2) A female wolf is pregnant for about two months. (3) She gives birth to one to eleven pups, newborn wolves are tiny and defenseless creatures. (4) Wolf pups are also blind and deaf. (5) They do not even open their eyes until they are about two weeks old. (6) At birth the average pup weighs just one pound. (7) At first, their sight is very poor, but it gradually improves until they have clear vision as adults. (8) When the pups are two to three months old, their eyes begin to change color from blue to yellowish-gold. (9) Their hearing has developed too. (10) When they are still very young, pups feed on their mother's milk several times a day. (11) Females spend a great deal of time with their young after they are born, but other wolves will help mothers as well. (12) The entire wolf pack, when mother wolves are out of the den, steps in to protect the pups from threats. (13) Members of the pack might also do things such as lick the pups to stimulate them and keep them clean. (14) During the first fourteen days of their lives wolf pups grow rapidly. (15) This is known as the neonatal period. (16) Males usually add a little over three pounds a week. (17) Females gain an average of two and a half pounds per week. (18) The rate of this weight gain slows down to about one pound per week when the pups reach twelve weeks old. (19) Growth will continue until wolf pups reach one year old. (20) Wolves are still called pups when they are about one year of age. (21) One-year-old wolves are nearly full-grown. (22) Full-grown wolves weigh an average of 60 to 100 pounds. (23) By the time wolves are nine months old, they had spent time learning how to perform a variety of adult tasks. (24) These include helping their pack hunt for food, marking their territory, and keeping watch over that area. (25) Turning two years old means that wolves often leave their home packs. (26) They are now young wolves off in search of mates. (27) The goal for a young wolf and its mate is to breed. (28) Then, the two of them will begin the cycle again and create their own new wolf pack. 4.What is the BEST way for Declan to combine sentences 20 and 21 to add more sentence variety to his report? Although wolves are still called pups at about one year of age, they are nearly full-grown. Wolves are still called pups when they are nearly full-grown around one year of age. One-year-old wolves are nearly full-grown, in spite of that they are still called pups. When wolves are about one year old, they are still called pups. This is silly because they are nearly full-grown. Elijah wanted to take a bubble bath. What is a reasonable estimate for the capacity of his bathtub? Read this position.The fifty-five-mile-per-hour highway speed limit should be brought back.Which evidence best supports this position? A. an ad about a car that gets forty miles per gallon of gasoline B. a quotation from a new car driver who drives slowly C. statistics stating that driving more slowly prevents accidents D. a description of a car that can go a maximum of fifty-five miles per hour What do you think a man should look like, sound like, and behave like if he is going to play the role of Count Dracula in a film or a play? Which structure in the heart'separatesoxygenated blood from deoxygenated blood? Is this correct?? if not pls tell me the correct answer A 31.0 mL sample of 0.624M perchloric acid is titrated with a 0.258M sodium hydroxide solution.What is the (H+) molarity after the addition of 15.0 mL of KOH? Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 19x + 6, where x is time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty. An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that it can meet its profit expectations if, on average, the number of damaged items per truckload is fewer than 11. A random sample of 19 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.49. Select a 95% confidence interval for the true mean of damaged items. Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. That the start of the assignment, students are randomly assigned a font, either times new Roman or comic sans, and then complete the assignment the teachers grade the assignment and the mean grade for each font is found.What is the response variable in this experiment? A the font used by each h student B, the teachers grading the responsesC the grade received on each assignmentD the length of the student response on the assignment Can someone help me please Mark won 79 lollipops playing hoops at his school game night. Later, he gave three to each of his friends. He only has four remaining. How many friends does he have?