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 radius of the button.
3 and 1/2 in
radius:

Answers

Answer:1.75

Step-by-step explanation:

formula= R= D/2

convert 3 1/2 into a decimal

3.5

do 3.5 divided by 2 (R= 3.5/2) = 1.75

so the Radius is 1.75 inches !! hope this helped :)

The radius of the button 3 and 1/2 in would be; 1.75

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

The formula= Radius= D/2

Now convert 3 and 1/2 into a decimal;

3.5

Now, 3.5 divided by 2 (R= 3.5/2)

= 1.75

Hence, the Radius is 1.75 inches .

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

HELP MATH ASAP! I GIVE BRAINLIEST

Answers

The answer would be 0.

What is the value, to the nearest tenth, of 15 x 3 - 12 x 2 when x = 2.5​

Answers

Answer:

159.4

Step-by-step explanation:

I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out

15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375

rounded is 159.4

The diameter of a circle is 8 inches. What is the area?

d=8 in

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Radius = Half of Diameter

r = 8/2

= 4 in.

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]

1. What is ✓ 48 in simplified radical form?

Answers

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex]

HELPPP WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

EQUAÇO
1. x + 5 - 25=x + 3x - 4
2. 1 - 2x = 3 - 2(x + 1)

Answers

1. 5-25=3x-4 => -20=3x-4 => -16=3x => x= -16/3
2. 1-2x=3-2x-2 => 1=3-2 => 1=1 => x=R

Solve the inequality for d

df+9h>2

Answers

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción



[tex](2 \div 2 \sqrt{2) ^{2} } [/tex]
what is the answer ​

Answers

Hopes this helps:

Answer: 2

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

Please help I do not know the answer

Answers

Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

Right answer will be marked brainlist .

Answers

Answer:

$1159.69

Step-by-step explanation:

A = P (1 + r/n)^nt

A = 1000 (1 + 0.05/2)^2(3)

A = $1159.69

Help me please with this problem!!

Answers

Answer:

139°

Step-by-step explanation:

Corresponding angles theorem:

When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°

I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.

Which expression is represented on the number line?

Answers

Answer:

b

Step-by-step explanation:

Use the diagram to identify 4 collinear points

Answers

Answer:

the answer is the (L,N,K,O)

Help please show work how to get the answer.

Answers

Answer:

A or D

Step-by-step explanation:

Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.

Answers

Answer:

Aceleracion = 0.8 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 12 m/s

Velocidad final = 20 m/s

Tiempo, t = 10 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.

Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{20 - 12}{10}[/tex]

[tex] Aceleracion = \frac{8}{10}[/tex]

Aceleracion = 0.8 m/s²

I’ll mark you brainlieist

Answers

1. Divide by 4
x < 5

2. Subtract 4
x < 21

3. Add 8
x > 40

4. divide by -4( flip inequality sign b/c dividing by negative) so > turns into >
x < -6

The rest using the same concept. Try them yourself and ask for help if you need it

Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?​

Answers

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

HELP PLZ I'LL MARK BRAINLIEST!

Answers

Answer:

138.23

Step-by-step explanation:

What is the length of the diameter?

Answers

is there any instructions above the circle?

2x the radius, the radius is half the length circle so multiplying it by 2 gets you the full length

HELP THIS IS DUE IN LIKE 20 MINS

Answers

Answer:

I cant see the full question enough to help you. Its showing like part of the question.

Answer:

4x+y=-7

Step-by-step explanation:

Explain what you think 5 x ⅙ means.

Answers

Answer:

5/6?

Step-by-step explanation:

Which expression is equivalent to (8x + 14) + (9x - 5)? + A. 22x - 4 B. 31x - 5 C. 17x + 19 D. 17x + 9​

Answers

Answer: D

Step-by-step explanation: =8x+14+9x+−5

=(8x+9x)+(14+−5)

=17x+9

Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?

Pls help I well mark you a brainliest...

Answers

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

There is really only one solution which is the third choice. When you are dealing with the equation in the form of y = mx + b, the b stands for the y-intercept. So, your y-intercept equals -1. When you are finding the x-intercept you can just substitute y for 0(the definition of x-intercept is where the graph crosses the x-axis, meaning y needs to be equal to 0) and you get that x equals 1/5.

Solve using elimination. 9x − 9y = –18 10x − 9y = –13

Answers

Answer:

y = 5, y = 7

Step-by-step explanation:

there are 4 red and 8 blue marbles in a bag, Mark draws a blue marble out of the bag and does not replace it. Mark draws a second blue marble out of the bag and does not replace it. what is the probability that the next marble he draws will also be blue,

Answers

Answer:3/5

Step-by-step explanation:when he takes one marble it’s 7/11 and when he takes another it’s 6/10 so simplify and you get 3/5

Answer:

Step-by-step explanation:

Answer:3/5

Help I have no idea what the answers are

Answers

Answer:

Hi Bunni  ,  :D

Step-by-step explanation:

a =2

b= -8

c = 9

axis of symmetry  is

-(-8) / 2(2)

8 / 4

2

vertex = ( 2, 1)  

:)

Someone help me please need ASAP​

Answers

Answer:

x = 1/2

Step-by-step explanation:

all of its sides are equal;

4x - 6 = 2x - 5

2x = 1 , x  = 1/2

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