Find the base area of a cone with a volume of 75 cubic inches and a height of 6 inches.

Answers

Answer 1

Answer:

(75/2) in^2, or approximately 37.5 in^2

Step-by-step explanation:

The equation for the volume of a cone of base area b and height h is

V = (1/3)(b)(h).

Let's solve this for b, since b is the unknown here.

Multiplying both sides of this equation by 3, we get:

3V = (b)(h), and so

b = (3V)/h

In this particular case we're given V = 75 in^3 and h = 6 in.  Substituting these values into the above formula for b, we get:

        3(75 in^3)

b = ------------------- = (75/2) in^2, or approximately 37.5 in^2

            6 in


Related Questions

does anyone know this

Answers

Answer:

y≤4

Step-by-step explanation:

Hope this helped C:

I’m sure it’s C if it’s wrong sorry

what is the difference between -3 and 4?

Answers

Answer:

I believe 1

Step-by-step explanation:

(I ain't 100% though!)

write all the natural numbers from 1 to 20 what fraction of them are multiples of 3 (someone answer fast pls)​

Answers

6/20. If it asks for the simplified version it’s 3/10.

Ummmmmmmm I need help

Answers

Answer:

2

Step-by-step explanation:

The interquartile range is (the middle of the upper half) - (the middle of the lower half). To find this list out all of the values and find the median, then find the center of the upper half and the lower half.

1 2 2 3 3   3 4 4 5 6 Here I have made a small diagram of how you were to find the middle of each half with the underline being each half, the bold being the sides for each half, and the italicized being the value. For this question the middle of the upper half is 4 and the middle of the lower half is 2, so 4-2 = 2.

y = (x2 - 2x + 1)
y = (x - 1)(x - 1)
Prove that the following functions are equivalent through algebraic and numerical proof

Answers

Answer:

see below

Step-by-step explanation:

y = (x² - 2x + 1)

y = (x - 1)(x - 1)

First, recognize that the first equation is fully simplified/expanded already.

Now, we should solve for the second equation.

FOIL the expressions: first–outer–inner–last

(x - 1)(x - 1)

F: x²

O: -x

I: -x

L: 1

Combine these terms.

x² - x - x + 1

x² - 2x + 1

Notice that this equation is identical to our first equation. Therefore, the functions are equivalent.

Hope this helps!

y = (x^2 - 2x + 1)

y = (x - 1)(x - 1)

Algebraic Proof

FOIL y = (x - 1)(x - 1)

y = (x - 1) (x -1 ) = x^2 -2x + 1

Done.

Numeric Proof

Let x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = 2 + 2

y = 0

Let x be 1 again.

y = (x - 1)(x - 1)

y = (1 - 1)(1 - 1)

y = 0

There you have it. Both equations are the same.

11) The difference of two numbers is 3. Their sum is 23. What are the numbers?

Answers

Answer:

Step-by-step explanation:

ill try this one in a few minutes for you.


Find the length indicated.
Find IJ

Answers

the length of ij would be 7

Answer:

IJ=7

Step-by-step explanation:

5+?+1=13

13-5-1=7

pamela and donna flew to arizona and bought a t-shirt for $12, scarf for $6.50, and belt for $16.75. In arizona, the sales tax rate is 8.25%. what is the total sales tax on the items?

Answers

Answer:

$38.16

Step-by-step explanation:

$12 + $6.50 + $16.75 =

35.25 US$

Sale Tax: 8.25% or $2.91

After Tax Price: $38.16

[52 + (48 divided by 8)] + 17

Answers

Answer:

75

Step-by-step explanation:

48/8 = 6

6 + 52 = 58

58 + 17 = 75!

The solution to the expression [52 + (48 divided by 8)] + 17 is 75.

To solve the expression [52 + (48 divided by 8)] + 17, follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Step 1: Evaluate the division inside the parentheses.

48 divided by 8 equals 6.

Therefore, the expression becomes:

[52 + 6] + 17

Step 2: Perform the addition inside the brackets.

52 + 6 equals 58. The expression simplifies to:

58 + 17

Step 3: Evaluate the final addition.

58 + 17 equals 75.

Therefore, the solution to the expression [52 + (48 divided by 8)] + 17 is 75.

Learn more about expression click;

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Scarlett went shopping for a new pair of pants. Sales tax where she lives is
4%. The price of the pair of pants is $41. Find the total price including tax.
Round to the nearest cent.

Answers

Answer:

39.36

Step-by-step explanation:

1% of 41 is .41, so you multiply that by 4 to get 1.64. Then do 41-1.64=39.36

The total price including tax is $42.64

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Price of pants= $41

Sales tax= 4%

So, the tax is

= 41 x 4%

= 41 x0.04

= $1.64

Now, the price of pants after tax

= 41 + 1.64

= $42.64

Hence, the total price including tax is $42.64

Learn more about Percentage here:

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What is the value of 5^-2?

Answers

Answer:

the answer is-25 according to me

5^-2 is -25
Please mark as brainliest

helpppppppppppppppppppppppp?

Answers

828uwbb8w7wvhwwjw8u1h1

(WILL GIVE BRAINLIEST)
Where do producers get matter and energy to live and grow?
Select one:
1.All of these are correct.
2.The soil
3.The sun
4.The atmosphere

Answers

Answer:

1) all of these are correct

Step-by-step explanation:

Can someone help me with this thank you

Answers

Answer:

Step-by-step explanation:

Area of square = side * side

                        = 4 * 4

                         = 16 sq.ft

Area of triangle = [tex]\frac{1}{2}*base*height\\[/tex]

                          [tex]= \frac{1}{2}*4*2\\\\= 4 sq.ft[/tex]

Area of the figure =  area of square + area of triangle

                             = 16 + 4

                              = 20 sq.ft

En las elecciones locales celebradas en una ciudad, 9/25 de los votos fueron para el partido A, 3/5 de los votos para el partido B, y hubo 2000 votos más que no fueron para ninguno de estos dos partidos. Calcule el número de votantes y el número de abstenciones sabiendo que este último es 1/40 del número de personas que podían votar.

Answers

I would help u but I can’t understand that Srry

y = 2x + 5
Whats the answer for this? Whats the missing value
(2,__)

Answers

Answer:

(-5/2, 5)

Step-by-step explanation:

Apply x-y intercepts theorem

(x,y)=(0,y) and (x,0).

then substitutes.

Write the ratio as a fraction in simplest form.

25 to 45

The ratio as a fraction in simplest form is
.

Answers

5/9 hope this helps :)
25/45 their common number that both are divisible by is 5.
25 divided by 5 = 5
45 divided by 5 = 9
Therefore, 5/9 would be your answer because you cannot reduce the numbers anymore as 5 and 9 do not have common divisables

For number 2:

If the figures below are similar, give the scale factor to Figure B to A.


PLEASE HELP!!!!!!!!

Answers

Answer:

3is the scale factor and it is similar

Step-by-step explanation:


the price for 8 movie tickets is $96.80. If each ticket costs the same amount, how much does one movie ticket cost?

Answers

Answer:

$12.10

Step-by-step explanation:

96.80 / 8 = 12.10

it would cost $12.10 if they (or whoever i dont know) got one ticket


David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one at a time
without replacement. What is the probability that David will select a dime first and then a penny?

Answers

Answer:

7/15 for dime

6/15 for pennies

Step-by-step explanation:

7/15 because 7+2+6=15 and there are 7 dimes so 7/15.

6/15 because there are 15 coins and there are 6 pennies so 6/15.

15 is the total so 7 and 6 have to go over it.

The ratio of the measures of the angles in a triangle is 11:2:5 find the measures of the largest angle

Answers

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The total of the ratio units is 11 +2 +5 = 18. These stand for the total of angles, 180°, so each ratio unit stands for 180°/18 = 10°.

The largest angle is 11 ratio units, or 11×10° = 110°.

Graph the linear equation. Can someone give me a helping hand I’m not sure how to answer this? I will mark as Brainliest

Answers

U do 1/3 x 6 = y you move the line

Answer:

Step-by-step explanation:

[tex]y = \frac{1}{3}x+6\\\\[/tex]

When x = 0 , y = 0 + 6 = 6    

(0 , 6)

When x = 3,

[tex]y = \frac{1}{3}*3 + 6 = 1 + 6 = 7[/tex]

(3, 7)

When x = -3

[tex]y =\frac{1}{3}*(-3)+6=-1 + 6 = 5[/tex]

(-3, 5)

Plot (0,6) ; (3, 7) and (-3, 5) in the graph and join the points.

Use the distributive property to simplify the expression 6(9+x)

Answers

Answer:

54+6x

Step-by-step explanation:

6(9+x)

Distribute the 6 to each term inside the parentheses

6*9 + 6*x

54+6x

Answer:

54(6x)

Step-by-step explanation:

6 times 9

6 times x

the two lines above multiplied by each other

8.43 divided by 12.654

Answers

decimal= .66192508

I checked I could do a fraction but my calculator won't allow


Help! The measure of the exterior angle of the triangle is???

Answers

Answer:

92°

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 opposite interior angles, that is

2x - 2 = x + 45 ( subtract x from both sides )

x - 2 = 45 ( add 2 to both sides )

x = 47

Then

exterior angle = 2x - 2 = 2(47) - 2 = 94 - 2 = 92°

which graph represents a function? HELP ITS TIMED

Answers

Answer:

A

Step-by-step explanation:

Answer:

THE FIRST ONE

Step-by-step explanation:

NONE OF THE X REPEATS

A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the​ playground?

Answers

The diagonal of a square can be obtained by the Pythagorean theorem and is given by:

Diagonal = root (L ^ 2 + L ^ 2)

Where,

L: Sides of the squares

Clearing L, we have:

(Diagonal) ^ 2 = L ^ 2 + L ^ 2

(Diagonal) ^ 2 = 2L ^ 2

L ^ 2 = ((Diagonal) ^ 2) / 2

L = (((Diagonal) ^ 2) / 2) ^ (1/2)

Substituting

L = (((24) ^ 2) / 2) ^ (1/2) = 16.97

The side of the playground is 16.97m long

Determine which number has a greater magnitude."

7 and -8

Answers

Answer:

7

Step-by-step explanation:

-8 is a negative number for example if you have -8 and you wanna get it to 0 you add 8 you don't have to do that with 7 it's a "positive" number

If Brenda decides to use milliliters and leaders in terms room instead and each person at the party will drink about 750 mL after 32 people and they each drink about 750 mL how many liters of punch open does mom need to buy?

Answers

Answer:

24 litres

Step-by-step explanation:

Given that :

Number of people present at party = 32

Volume of drink consumed by each person in mL = 750 mL

To consumption in mL:

Number of people * volume consumed by each

32 * 750 mL

24000 mL

24000 mL to L

1000 mL = 1 L

24000 mL = (24000/ 1000)L

= 24 L

Answer:

262

Step-by-step explanation:

the other one is wrong i almost fell for it but my teacher said it was wrong

X-2y3 how do u simplify that

Answers

Answer:

[tex] \frac{ {y}^{3} }{ {x}^{2} } [/tex]

Step- by- step explanations:

1) Remove parentheses.

[tex] {x}^{ - 2} {y}^{3} [/tex]

2) Use Nagative power rule.

[tex] \frac{1}{ {x}^{2} } {y}^{3} [/tex]

3) Simplify.

[tex] \frac{ {y}^{3} }{ {x}^{2} } [/tex]

Therefor, the answer is Option H.

Answer:

[tex]\frac{y^{3} }{x^{2} }[/tex]

Step-by-step explanation:

Have a great day

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