A square pyramid with a height of 7 inches has a volume of 47.25 cubic inches. Find the side length of the square base.
The side length is inches.

Answers

Answer 1

Answer:

4.5 inches

Step-by-step explanation:

volume= 1/3 (base area) × height

47.25= 1/3 ( base area) × 7

20.25 = base area

now since the base is a square we can evaluate base area = length²

20.25= length²

length = 4.5 inches


Related Questions

Will give brainliest to correct answer

Answers

Answer:

Step-by-step explanation:

here you go.

Determine whether the relationship is a function or not. Explain why
why not!

Answers

Answer:

It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.

Step-by-step explanation:

hope this helps and is right. p.s i really need brainliest :)

What's the volume to this prism?

Answers

Answer:

36 cubic inch

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

[tex]V=whl[/tex]

----------------------------------------------------------------------------------------------------------------

So:

6 × 3 × 2 = 36

----------------------------------------------------------------------------------------------------------------

Have a good day :)

-3x+6>12

need help with this one number line

Answers

Answer:

x <-2

Step-by-step explanation:

-3x+6>12

Subtract 6 from each side

-3x+6-6>12-6

-3x> 6

Divide each side by -3, remembering to flip the inequality

-3x/-3 < 6/-3

x <-2

Write an equation for the line that has a slope of 1/2 and passes though the point (-2, 5)

Answers

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

5 = 1/2(-2) + b

5 = -1 + b

6 = b

Solve.
-2} -(-5) = 0


Answers

Answer:

[tex] - 2 \frac{1}{3} - ( - 5) \\ = - \frac{7}{3} + 5 \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]

Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *

Answers

Answer:

(40-12)-(x·7)

Step-by-step explanation:

x is the price foreach of the 7 binders

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrr​

Answers

um ok

,,,,,,,,,,,,,,,,,,,

Answer is:

RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

The Walt Disney Company paid a $0.35 annual dividend on a day it closed at a price of
$33.86 per share.
a. What was the annual dividend for 500 shares?
b. What was the quarterly dividend for 500 shares?
c. What was the yield to the nearest tenth of a percent?

Answers

Answer:\

hey check out the attachment i found them online hope it help and thank you!

I looked for them like for 20 min I finnaly found them

Have a nice day/night! LOL

Step-by-step explanation:

What is the missing number of n-9.01=3.84

Answers

Answer:

12.85

Step-by-step explanation:

Answer:

n = 12.85

Step-by-step explanation:

n - 9.01 = 3.84 --> add 9.01 to both sides

n = 12.85

i need help please i have alot of problems on math and i was hoping you all can help me and explain it to me

Answers

you want to break the shape apart
the square would be 2•2 so 4
the triangle on the right would be .5•2•6 so 6
the triangle on the left would be .5•2•2 so 2
and 6+4+2 is 12
so 12 units ^2

If a box is 16 feet by 12 feet wide how wide of a picture frame could be put inside it of it diagonally

Answers

If the box is 16ft long and 12ft wide it would mean you are going to use the length x width formula so all one would do is 16 x 12 = 192. 192 is your answer

Answer:

192

Step-by-step explanation:

16×12

if it is 16 wide then we shall multiply by 12

What is the volume of a cone with a diameter of 20 inches and height of 25 inches?

Answers

Answer:

7853.98163in³

Step-by-step explanation:

V=

π

d

2

2

h

=

π

20

2

2

25

7853.98163in³

please help me with this equation!
you will be marked as brainliest

Answers

Answer:

A I guess according to my research.

Somebody please help me it’s a big test I only have a few days left

Answers

Answer:

36-meet

37-feature

38-drag

39-Strength

40-speed

Step-by-step explanation:

En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.

Answers

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

3. Which number is the largest?
(A) 0,56
(B) a half C) 0.0599 (D) 0,09 (E) a half

Answers

Answer:

A) 0,56

Step-by-step explanation:

a half=0,5

0,56>0,5>0,09>0,0599

A 0,56 is the correct answer let me know if this helps.

The sum of three numbers is 57. If twice the first number is 6 less than the second and the second number 10 more than the third, find the numbers.

Answers

Answer:

11,28,18 are the three numbers.

Step-by-step explanation:

Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?

A. The number of stuffed animals in Denise’s collection is multiplied by 4 each year.
B. Denise’s collection increases by 4 stuffed animals per year.
C. Denise’s collection increases by 3 stuffed animals per year.
D. Denise spends $4 per year on stuffed animals.

Answers

The statement best describes the rate of change is "Denise's collection increases by 4  stuffed animals each year".

What is rate of change ?

The rate of change is the speed at which a variable changes over a specific period of time.

According to the given question

We have

An equation a(n) = 3+4n, which describes the number of stuffed animal in Denise collection, a after n, number of years.

For the rate of change

Differentiate the given equation w.r.t n

[tex]\frac{d(a(n))}{dn} =\frac{d}{dn} (3) + \frac{d}{dn} (4n)[/tex]

⇒[tex]\frac{d}{dn} a(n) = 0+ 4 =4[/tex]

⇒ the number of stuffed collection increases by 4 each year.

Hence, option B is correct.

Learn more about rate of change here:

https://brainly.com/question/12786410

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set costs $30 before a 30% discount

Answers

Answer:

$39

Step-by-step explanation:

Answer:

Set costs $21 after discount

Step-by-step explanation:

$30 = 100%

$x = 100% - 30% = 70%

70% = 0.7

30(0.7) = 21

$21

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help me im confused with this​

Answers

Answer:

B. 33 cm^3

Step-by-step explanation:

Volume = 4/3 πr^3

4/3 times 3.14 times 2cm^3

Answer:

33.51 cm³  (closest to Answer B)

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.

With r = 2 cm, the volume is

V = (4/3)π(2 cm)³ = 33.51 cm³  (closest to Answer B)

Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)

Answers

Answer:

the ordered pair (2, 6) is the answer

Step-by-step explanation:

y - x > -3

you can use substitution for each option:

2 - 6 > -3    False, -4 is not > -3

6 - 2 > -3    True, 4 is not > -3

-1 - 2 > -3    False, -3 is not > -3

Which answer choice correctly names the circle?

Answers

Answer:

Step-by-step explanation:

Is their suppposed to be a pic

Use the Distributive Property to simplify the expression 5(7x + 4).
5 (7x+4)

Answers

Answer:

35x + 20

Step-by-step explanation:

5 * 7x

and

5 * 4

then combine them with a plus sign

Answer:

35x + 20

Step-by-step explanation:

Distribute: 5(7x + 4)

5 • 7x = 35x

5 • 4 = 20

35x + 20

Hope this helps, good luck! :)

help!! don’t know how to do it

Answers

Answer:

cot(x) + sec(x)

Step-by-step explanation:

[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]

Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).

Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?

Answers

Answer:

The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.

Can someone help me with this

Answers

Answer:

30  I N

Step-by-step explanation:

Which ordered pair is a solution of this equation y = 80 – 8x?​

Answers

Answer:

y = -8x + 80 This is the way I found the answer

Mrs. Jones bought 120 eggs. She used 2/3of them for baking cakes. She used 1/4 of the remainder for baking cookies. How many eggs did she have left

Answers

Answer: 30 eggs

Step-by-step explanation:

Given

Mrs. Jones bought 120 eggs

She used two-third for baking cakes i.e.

[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]

Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]

She used on-fourth of the remaining for baking cookies i.e.

[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]

Eggs left after baking cookies

[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]

She is left with 30 eggs

When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:

Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.

Which option will result in a better 18th birthday gift? Explain your reasoning.

Answers

Answer:

option (1) is a better 18th Birthday gift of child by Grandfather.

Step-by-step explanation:

Amount deposited in bank at time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

So,

                          Principal amount =$100

                                             Time = 18 years

              Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

we know that Bank give compound interest on the deposit amount

then                   Compound interest = C.I=P(1+r) with an exponent of t

                                  C.I= 100(1 + 10.5 over 100)with an exponent of 18

                                  C.I= 100*6.0328

                                  C.I= $603.28

Option 2:- An account that grows by $20 each year

Here,

                   Amount credited in account for 18 years = $20

So,                Total amount after completion of 18 years = 10+18*20

                                                                                         =460

Hope this helped <3

The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.

The amount deposited in the bank at the time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

Principal amount =$100

Time = 18 years

Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

We know that Bank give compound interest on the deposit amount

What is the formula for compound interest?

Compound interest = C.I=P(1+r) with an exponent of t

C.I= 100(1 + 10.5 over 100)with an exponent of 18

C.I= 100*6.0328

C.I= $603.28

An account that grows by $20 each year

The amount credited in the account for 18 years = $20

The total amount after completion of 18 years = 10+18*20

 The total amount after completion of 18 years=460                                                                    

To learn more about the compound interest visit:

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