If the volume of the pyramid is 72 centimeters cubed, what is its height in cm?
A rectangular pyramid with a base of 6 centimeters by 4 centimeters and a height of h.
A) 3
B) 9
C) 12
D) 18

Answers

Answer 1

Answer:

Well, Your best answer will be is B) 9.

Because,

The volume of the pyramid is:

v = (w × h × l)/3  

Then, We have to values together:

72 = (4 × 6 × h)/3

Well, Then we have to solve the h:

72 × 3 = (4 × 6 × h)/3 × 3

216 / 6 = (4 × 6 × h)/6

36/4 = (4 × h)/4

9 = h

So, The best answer will be is 9.

Good Luck!~

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Answer 2

The height of the pyramid is 9 cm.

What is a pyramid?

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

The volume of a rectangular pyramid is given by the formula:

V = (1/3)Bh

Where B is the area of the base and h is the height.

In this case,

The base has dimensions of 6 cm by 4 cm, so its area is B.

= 6 cm x 4 cm

= 24 cm².

We are given that the volume of the pyramid is 72 cm³, so we can plug in these values to get:

72 cm = (1/3)(24 cm²)(h)

Simplifying this equation.

72 cm³ = 8 cm² x h

9 cm = h

Therefore,

The height of the pyramid is 9 cm.

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Related Questions

∠a and ∠b are complementary angles. ∠a measures 24∘. What is the measure of ∠b?

Answers

Answer:

66°

Step-by-step explanation:

Complementary angles are those that add up to 90 degrees. Since a and b are complementary, we can write:

∠a + ∠b = 90

We already know that ∠a = 24°, so we can plug this in:

24 + ∠b = 90

∠b = 90 - 24 = 66°

Thus, the answer is 66°.


Michael made a spinner to use in a game. He tested the spinner by spinning it 4 times. The pointer landed on 1 each time. What do these results suggest about the spinner?

A. It is probably a fair spinner. The probability of spinning a “1” is 0.25.


B. It is probably a fair spinner. The probability of spinning a “1” 4 times is 0.25 × 4, which equals 1.


C. It is probably not a fair spinner. The probability of spinning a “1” on all 4 spins is about 0.004.


D. It is probably not a fair spinner. The probability of spinning a “1” on all 4 spins is less than 0.0001.

Please help

Answers

Answer:

C

Step-by-step explanation:

If  The probability of spinning a “1” is 0.25, then the probability of spinning 4 ones is:

0.25*0.25*0.25*0.25 = 0.25^4 ≈ 0.004

(the four events are independent)

The pointer landed on 1 each time, which probability is very low. So, we can conclude that the spinner is not fair.

What is the cost of 1 Apple and of 3 apples?

Answers

Answer:

The cost of 1 apple is a third of the price of 3 apples

Step-by-step explanation:

google says that apples are $1.49 a pound

1=$1.49

3=$4.47

Which of the following is not a statistical question? How many miles away do the students live from school? How many e-mails are sent by students in this class each day? What are the heights of the members on the school's basketball team? How many marbles are in the jar on the teacher's desk?

Answers

Answer:

how many marbles are in the jar on the teacher's desk

Step-by-step explanation:

a statistical question which can be answered by collecting data and in that data there will be variability in that data . This type of question is different from other type of questions .

I am having trouble with this question

Answers

Answer:

C

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Gradient=

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex]m = \frac{ - 12 - ( - 15)}{ - 5 - ( - 1)} \\ m = \frac{15 - 12}{1 - 5} \\ m = - \frac{3}{4} [/tex]

y= -¾x +c

To find c, substitute a coordinate.

When x= -1, y= -15

[tex] - 15 = - \frac{3}{4} ( - 1) + c \\ c = - 15 - \frac{3}{4} \\ c = - 15\frac{3}{4} [/tex]

Thus the equation of the graph is

[tex]y = - \frac{3}{4} x - 15 \frac{3}{4} [/tex]

Therefore the answer is C.

Explain 15 is not a prime factor

Answers

15 is not a prime factor as it is divided by 1,3,5 and 15.

Additional information:

Prime numbers are those numbers which can only be divided by itself .for instance:1,2,3,5,7 ,11,13 etc.

Composite number s are those numbers which can be also divided by other numbers,For instance: 4,6,8,10 etc

Hope it helps....

How many modes does the data set shown below contain?


1, 3, 3, 4, 6, 6, 7, 7, 7, 10, 12

Answers

Answer:

There are 3 modes

Step-by-step explanation:

There are two 3s, two 6s, and three 7s

Please answer correctly ASAP !!! Will mark brianliest !!!!!!!!

Answers

Answer:

-13 - [tex]\frac{7}{4}[/tex]b

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The equation of the line in this graph is y = __x +___.

Answers

Answer:

The line equation is y = 1.5x + 3

Fill the first space with '1.5' and the second with '3'

Step-by-step explanation:

The generic model for a line equation is:

y = ax + b

To find the parameters 'a' and 'b', we can use two points of the graph in the equation.

Using the point (0, 3), we have:

3 = 0*a + b

b = 3

Using the point (-2, 0) and the value of b above, we have:

0 = -2*a + b

2a = 3

a = 1.5

So the line equation is y = 1.5x + 3

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Answers

Answer:

The Answer is Y. PLeASE GIVE ME BRAInLIEST

Step-by-step explanation:

Answer:

Y

Step-by-step explanation:

Nah, you can give the brainliest mark to me thanks

A fast food restaurant sells hamburgers at $5.50 each and hot dogs at $4 each. 1) Write an algebraic expression to find the total sales revenue if the fast food restaurant sells x hamburgers and y hot dogs. 2) What is the total sales revenue of the fast food restaurant if x=30 and y=45?

Answers

Answer: $ 345

Step-by-step explanation:

The equation is 5.50x + 4y

Plugging the numbers in: 5.50(30) + 4(45)

$165 worth of hamburgers + $180 worth of hot dogs = $345 total sales revenue

What is the volume of the oblique? Round to the nearest tenth.

Answers are:
142.4 cubic units
142.4 square units
196.0 cubic units
196.0 square units

Answers

Answer:

142.4 cubic units is the correct answer

Step-by-step explanation:

right on edge

The volume of oblique cone, to the nearest tenth is,

⇒ 142.3 units³

What is the volume of an object?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Since, WE know that,

Volume of oblique cone = (1/3) x π x r² x h

Given that,

Radius (r) = 4 units

Height (h) = 8.5 units

Thus:

Volume of oblique cone = (1/3) x π x 4² x 8.5

Volume of oblique cone = 1/3 × 3.14 × 16 × 8.5

Volume of oblique cone = 142.3 units³

Learn more about volume of oblique cone on:

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lnze says u can rewrite 1 >m as m < 1. do u agree explain

Answers

Answer:

I agree

Step-by-step explanation:

1>m just states that 1 is greater than the variable

m<1 States that the variable is less than 1

They both say that the variable is less than 1 so that basically mean they're the same

A pizza has a diameter of 10 inches. If the
cheese completely covers the pizza, how many
square inches of cheese will be needed?

Answers

Answer:

78.5

Step-by-step explanation:

The formula for area of a circle is pir^2

So we have 5 for r, so r^2 would be 25.

Using 3.14 for pi, we get the answer is 78.5

Answer:

78.5

Step-by-step explanation:

sry forgot a step

( -2ab+4a-1) - (3ab+1)

Answers

Answer:

Step-by-step explanation:

−5ab+4a−2

Answer:

-5ab+4a-2

Step-by-step explanation:

(-2ab+4a-1) - (3ab+1)

-2ab+4a-1 -3ab-1 (you put them out of the brackets by following the procedures. )

-2ab-3ab+4a-1-1 (then you collect like terms)

-5ab+4a-2

Time Temperature(०F)
9:00 60
10:00 62
11:00 64
12:00 68
find the constate rate

Answers

Every hour increases 2 degrees

Answer:

it is +2 every time

Step-by-step explanation:

hope this helps please give me brainiest

I will mark the brainlest answer

Answers

Answer:

Step-by-step explanation:

12x12=144

19x12/2=228/2=114

114+144=258

A house is listed for sale at $235,000, but the listing does not include square
footage of the house. Based on the comps, the line of best fit is
y=0.06x + 60.5. If the price is fair, what size (in square feet) should the house
be?

A. 2850 ft^2
B. 2900 ft^2
C. 20,000 ft^2
D. 2350 ft^2

Answers

Answer:

Option B.

Step-by-step explanation:

If the cost of the house (y) is in thousands and area of the house is x ft².

Cost of the house is modeled by the equation given,

y = 0.06x + 60.5

By substituting the values in the line of best fit,

235 = 0.06x + 60.5

0.06x = 235 - 60.5

0.06x = 174.5

x = [tex]\frac{174.5}{0.06}[/tex]

x = 2908.33 ft²

x ≈ 2900 ft²

Therefore, Option B will be the correct answer.

helpp! kind of clueless

Answers

Answer:

-11

Step-by-step explanation:

(a+b) +(c+d)

plug in

(-5+15)+(-9-12)

type in calculator

you will get your answer (-11)

Answer:

-11 (b)

Well basically plug the numbers into the equation. Than solve.

Step-by-step explanation:

So (-5 + 15) + (-9 + -12) is what you get when you plug in the values. Than do the math. 10 + -21 = -11

There you go. Hope this helped.

Ivan bought a box of macadamia nuts to bring home from his trip.
10 in.
3.5 in.
4 in.
HELP ME
AM DESPERATE

Answers

Answer: B. 140 cubic inches.

Step-by-step explanation:

The question is asking you to find the volume of the rectangular prism.

You can find this by using this formula:

[tex]V = w*h*l[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the sides of the rectangular prism into the equation:

[tex]V = 3.5 * 10 * 4\\\\V = 140[/tex]

The volume of the prism is 140 cubic inches.

The correct answer is B.

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Answers

Answer:

b and c are the only correct answers.

Step-by-step explanation:

Help plzzz i need urgently!!!

Answers

Answer:

3:10 30%

Step-by-step explanation:

6:20 is the same as 3:10

Answer:

it is 3 / 10 or  30%

(take 6 / 20 and simplify)

Step-by-step explanation:

Since after I saw that after three different 6 shaded portions left 2 squares i reliezed that it wasn't exactly 33%, so the closest would be 30%.

can someone please help you don't have to explain how you got the answer

Answers

Answer:

-3a+5b+7   -2x+7y+13   -3m-4   24+7a   5a+10   3m+3   6s+4

Step-by-step explanation:

Answer:

-3a+5b+7   -2x+7y+13   -3m-4   24+7a   5a+10   3m+3   6s+4

Step-by-step explanation:

Combine like terms and use distributive property.

HELP! Please! HELP! Please see attachment to see the problem

Answers

The angle is equal, set x+40 = 60 solve for x, which is 20

Hello hello!

Solving this is simple, just remember the vertical angles theorem. Due to this theorem, you are able to conclude that x+40 and 60 are equal in terms of their angle measure. This means that to solve this, we need to set both sides equal to each other and solve for x, and plug it in!

STEP ONE: 60 = x + 40

DO: Subtract 40 from both sides.

STEP TWO: 20 = x

DO: You've answered the question!

ANSWER: x = 20

If θ is an angle in standard position and its terminal side passes through the point (-9,-5), find the exact value of
cot

θ
cotθ in simplest radical form.

Answers

Answer:

Step-by-step explanation:9/5 is the answer

(-5)^2 + (-9)^2 =c^2

25 + 81 = c^2

106= c^2

Sqr rt 106 = c

By using trigonometric relations, we will see that:

cot(θ) = 9/5.

How to get the cotangent?

We know that if an angle's terminal side passes through the point (x, y), then we can write the tangent as:

tan(θ) = y/x

In this case, we know that the terminal side passes through (-9, -5), then the tangent is:

tan(θ) = -5/-9 = 5/9

And the cotangent is the inverse of the tangent, then:

cot(θ) = 1/tan(θ) = 9/5.

If you want to learn more about trigonometric relations, you can read:

https://brainly.com/question/8120556

Find the common difference of the arithmetic sequence -13,-16,-19,

Answers

Answer:

common difference=-3

Step-by-step explanation:

[tex] - 13 - ( - 16) = - 13 + 16 = - 3[/tex]

Aquarium one contains 4.6 gallons of water. Louise will begin filling aquarium one at a rate of 1.2 gallons per minute.

Aquarium two contains 54.6 gallons of water. Isaac will begin draining aquarium to at a rate of 0.8 gallons per minute.

After how many minutes will both aquariums contain the same amount of water?

Answers

Answer:

25

Step-by-step explanation:

4.6 + 1.2g = 54.6 -.8g

1.2g + .8g = 54.6 - 4.6

2g = 50

g = 25

Answer:

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. Let's solve for the initial value of the linear function that represents thissituation. => 45 gallon aquarium at rate of 15 gallons per minute.

=> 45 gallon / 15 gallon = 3 minutes. Therefore with the rate of 15 gallons per minutes, Hideki will be able to finish the 45 gallon aquarium in 3 minutes.

Step-by-step explanation:

could someone answer this!?

Answers

Step-by-step explanation:

im not sure but I think the answer is -4

Answer:

4

Step-by-step explanation:

Take away the negative signs:

-80/-20

80/20

Now, divide normally.

80 ÷ 20 = 4

Since a negative number divided by another negative number is positive, the quotient is still 4.

Therefore, the simplified fraction is 4.

Find an ordered pair (x, y) that is a solution to the equation.
2x-y=7

Answers

Answer:

(0,−7)

Step-by-step explanation:

Since this is the equation of a straight line, there are no restrictions on what you could choose for a value of x. In "official" terms, we say the domain of the function is all real numbers.

Say you pick something simple like x=1. Now, insert this value, and the equation becomes

2−7=y

or y=−5

This means (1,−5) must be a point on the line, and it is also an ordered pair that satisfies the equation.

John’s solution to an equation is shown below.
What property of real numbers did John use for Step 2?

A. multiplication property of equality
B. zero product property of multiplication
C. commutative property of multiplication
D. distributive property of multiplication over addition

Answers

C would be the correct option
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