The volume of a square pyramid is 48 in^3 with a height of 4 inches. Find the length of one of the side of the base.

Answers

Answer 1

Answer:

6 inches

Step-by-step explanation:

area of square = 48 x 3 / 4 = 36 in^2

side = 6 in

Answer 2

Answer:

6 in

Step-by-step explanation:

The volume formula for a square-base pyramid of side length x and height h is V = (1/3)x²h.  We want to solve this for the base side length x:

Multiplying both sides by (3/h) results in:

3V

----- = x²       and so the side length, x, is √(3V/h).

 h

Substituting 4 in for h and 48 in³ for V, we get:  x = √(144 in³/4 in) = 6 in

Check:  Does the volume formula given above result in 48 in³ when x = 6 in and h = 4 in?

     

V = (1/3)x²h  = (1/3)(6 in)²(4 in) = 48 in³        YES:  x =  6 in is correct.


Related Questions

Find the median of the data.

93,81,94,71,89,92,94,99

Answers

Answer: 92.5

So to find median all we have to do is rearange it from low - high and get the middle number

71  81  89  92  93  94  94  99

So take this and you know the middle is right in between 92 and 93

71  81  89  92      |      93  94  94  99

All you have to do then is take the mean of 92 and 93 (so do [92+93]/2)

Answer is 92.5

State the domain and range of the following set

Answers

Answer:

domain(x)={30,40,50,60} and range(y)={60,5040,30}

find the area of the triangle​

Answers

The answer is 78 hope that helps

Find the distance between the points (–2,8) and (–2,3).

Answers

Answer:

I think it's 5

Step-by-step explanation:

I am not really sure but I tried I guess

2.07x2.4 plz help quick i need this

Answers

Answer:

2.07x2.4=4.968

Step-by-step explanation:

Answer:

4.968

Step-by-step explanation:

The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term?

Answers

Answer:

       a₃ = 32 805

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      [tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]

What is the third term?

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]

Simplity (4.5)(5)(-2)
O45
045
0-45
-45

Answers

the answer is -42 just just multiply

write 3^3 in expanded form and evaluate. can someone help me??

Answers

Answer:

27.

Step-by-step explanation:

3^3 = 3 * 3 * 3

= 9 * 3

= 27.

Answer:

IMAO YOU GAVE UP, PSY

Step-by-step explanation:

Solve for X if 8X = 40​

Answers

Step-by-step explanation:

X=40/8

X=5 Answer

hope it helps

Answer:

X= 5

Step-by-step explanation:

NOTE: DIVIDE 8 IN BOTH SIDE

8X/8 = X

40/8 = 5

SO X = 5

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Angel is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Angel made a total of 12 shots altogether and scored a total of 16 points. Graphically solve a system of equations in order to determine the number of free throws made, x,x, and the number of two point shots made, yy.

Answers

Answer:

w = 8, y = 4.

Step-by-step explanation:

i think this is right i am not sure

Answer:

[tex]x = 8 \\ y = 4[/tex]

Step-by-step explanation:

Let x be the number of one point shots, and y the number of two point shots.

We have

[tex]x + y = 12 \\ y = 12 - x[/tex]

And

[tex]x + 2y = 16[/tex]

Substituting the first equation in we get

[tex]x + 2(12 - x) = 16 \\ x + 24 - 2x = 16 \\ - x = - 8 \\ x = 8[/tex]

Since

[tex]y = 12 - x \\ y = 12 - 8 = 4[/tex]

40 students where has their favorite shoe color
how many chose blue?

Answers

Answer:

8 students

Step-by-step explanation:

There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.

Please mark as Brainliest.

⚡✨

Problem #1: Ms. Barrett is doing an art project with her class. She has 4 sheets of tissue paper. If she gives each student a third of a sheet, how many students will get tissue paper?​

Answers

Answer:

12 students.

Step-by-step explanation:

If you had 4 sheets, you would want to start by dividing them all in 3's, since that's easiest. (open the file i just for a better example of how the sheet should look).

Now, let's assume these sheets are regular office sized paper.

Start by handing 1 third out to A student.

Now, since there are 4 sheets, divided in 3 sections, we multiply to see the result of how many sections there are.

4 x 3 = 12.

Therefore, 12 students will receive a third of the tissue paper.

12 students now can u help me with my history work

Can someone plz help me

Answers

Answer:

28yd^2

Step-by-step explanation:

the answer is 28 yards squared bud :)

What is the area of the object above?
A.
98 sq cm
B.
104 sq cm
C.
54 sq cm
D.
90 sq cm

Answers

The best answer to go with is b

Given that a­­^b = x, evaluate the following: a^2b

Help PLZ!!! Will give brainliest to the first correct answer!!!!!!!

Answers

Answer:

[tex] x^2 [/tex]

Step-by-step explanation:

[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]

Answer: [tex] x^2 [/tex]

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²


Is x = 5 a solution to the equation 19 - x = 14?

Answers

Answer:

Yes

Step-by-step explanation:

Test the equation by substituting 5 in for x:

19- 5 =14

14=14

TRUE

If I helped, a brainliest would be greatly appreciated!

Answer: If you replace x with 5 then 19-5=14

Step-by-step explanation:

The fastest clapper in the world can clap 720 times in 60 seconds. What is the unit rate? *

Answers

Answer: 12 claps per second

Step-by-step explanation: divide both by 60 and yield 12 times -1 second

HELP!!! 100 POINTS!!! Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. Leave your answer in terms of π.
140π cm2
91π cm2
60π cm2
51π cm2
Just put the answer below for brainly.

Answers

The surface area of the cylinder is 60π cm².

What is the surface area of a cylinder?

The surface area of a cylinder indicates the total area of two plane surfaces (bases) and one curved surface.

If a cylinder has a radius of r cm and height of h cm, then the total surface area of the cylinder = 2πr(r + h)

Given, r = 3 cm and h = 7 cm.

Therefore, the total surface area of the cylinder

= 2πr(r + h)

= 2π × 3(3 + 7) cm²

= 2π × 3 × 10 cm²

= 60π cm²

Learn more about the total surface area of the cylinder here: https://brainly.com/question/22074027

#Tag #SPJ2

Answer:

C. 60π cm2

Step-by-step explanation:

What is the best definition for “sample” as used in statistics?
the entire population of the group
a part of the population that represents the entire population
the difference between the maximum and minimum values observed
a measure of how much the values within a population vary

Answers

Answer:

a part of the population that represents the entire population

Step-by-step explanation:

Answer:

I think it is the second option

I hope it helps you  

3(2w -4) equals what

Answers

Answer:

6W-12

Step-by-step explanation:

Answer:

6w-12

Step-by-step explanation:

distribute:

3(2w-4) = 6w-12


Glen is driving to the mega
mall that is 30 miles away from his
mom's house. On Glen's map app, his mom's house and the mega
mall are 5 inches apart. What is the scale on Glen's map?
A. 1 inch = 150 miles
B. - 1 inch = 35 miles
C. 1 inch = 25 miles
D. 1 inch = 6 miles

Answers

Answer:

D

Step-by-step explanation:

B is the best answer to go with you’re welcome my guy

Do,k= (0,2) (0,6) the scale factor is
3
0
1/3

Answers

Answer:

Step-by-step explanation:

3

The following is a scatter plot of the heights and weights of the students in Mr. Baldwin’s PE class.
A graph titled Heights and Weights has weight in pounds on the x-axis, and height in inches on the y-axis. A line goes through (146, 47.5).
Given the line of best fit, estimate the height of a student who weighs 146 pounds.
a.
About 67.5 inches
b.
About 65 inches
c.
About 72 inches
d.
About 72.5 inches



Please select the best answer from the choices provided


A
B
C
D

Answers

the answer is b ............

It shall be the answer B

PLEASE HELP PLEASE

Write a clear explanation summarizing what you have learned about defining expressions that have zero or a negative integer as an exponent. Then explain, using examples, why these definitions makes sense. Give as many reasons as you can. Also indicate which exclamation makes the most sense to you.

Answers

Answer:

Any number raised to zero is one.

Examples:

[tex]4^{0} = 1\\\\178^0=1\\\\15^0 = 1[/tex]

Any number raised to a negative integer is 1 over that exponential term without the negative exponent.

Examples:

[tex]5^{-1} = \frac{1}{5}\\\\324^{-13}=\frac{1}{324^{13}}\\\\17^{-6} = \frac{1}{17^{6}}[/tex]

If four is added to a half of a
number. The result is equal to 2.
What is the number?​

Answers

Answer:

-2

Step-by-step explanation:

4 + negative 2 (or -2) = 2

f(x) = 2x+10. If f(x)= -2, find x.​

Answers

Answer:

x=-5

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLY PLEASE

Answers

A. 6.5 square inches

What is the main cause of tides?

A.
Earth's gravitational pull

B.
the moon's gravitational pull

C.
the moon's rotation around its axis

D.
Earth's revolution around the sun

Answers

I'm not exactly sure on this one but please bare with me haha

High tides and low tides are caused by the moon and tides are really all about gravity(hence why all of these answers have gravitational in them). And, when we are talking about "daily tides" it's the moon that causes them.

The moon's gravity draws in various areas of our world as it rotates. Since the moon is just 1/100th the mass of the Earth, it has enough gravity to shift objects about. The ocean on the moon's far side is still trying to bulge out against it. A high tide is what we term this bulge. (Water is easy to move around too)

This is tidal force, and there are differences between high tides and low tides.
Hello, the answer is:-

The main cause of tides is the moon's gravitational pull.

Hope it helps you...

Answered by Benjemin ☺️

a las 6 am un termometro marca 6°c bajo cero, a las 9 am la temperatura aumento a 4°c, a las 12 pm la temperatura subio 10°c, a las 15 pm la temperatura ascedio 13°c, a las 18 pm la temperatura descendio 13°c, a las 21 pm la temperatura bajo 11°c representa la temperatura en una recta numerica y determina la temperatura a las 21 pm

Answers

La respuesta que buscas es 9°C

A scalene triangle has sides measuring 200 feet, 107 feet, and 221 feet. What is the
perimeter of the triangle?

Answers

Answer:

P = 528

Step-by-step explanation:

P = a + b + c = 200 + 107 + 221 = 528

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