A cone has a volume of 94.2 cubic feet and a height of 10 feet. What is its radius?

Answers

Answer 1

Answer:

  3 ft

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

Solving for r, we find ...

  r = √(3V/(πh))

  r = √((3×94.2)/(π×10)) ≈ √9 = 3 . . . . ft

The radius of the cone is 3 ft.


Related Questions

solve similar triangles (advanced)

Answers

Answer:

x = 3/2

Step-by-step explanation:

ΔACB ≈ ΔAED due to hypotenuse-leg theorem

therefore, BC/BA = DE/AD

4/6 = 5/(x+6)

cross-multiply to get:

4(x+6) = 6(5)

4x + 24 = 30

4x = 6

x = 6/4 or 3/2

check:

4/6 = 5/7.5; the cross-products are both equal to 30

can someone help me pleasee

Answers

Answer:

Erich planted 7 seeds ...

he had to remove 17 plants ....

he expected to have less or equal 46 plants ...

Step-by-step explanation:

Look at keywords like remove ~ => which indicates that something is being subtracted

Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)

Kate and Elena were playing a card game. The stack of cards in the middle had 25 cards in it to begin with. Kate added 5 cards to the stack. Elena then took 8 cards from the stack. Finally, Kate took 7 cards from the stack. How many cards were left in the stack?

Answers

Answer:

15

Step-by-step explanation:

step 1: 25+5=30

step 2: 30-8=22

step 3:22-7=15

Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98

Answers

C) 88

Explanation: trust me

Answer:

B.68

Step-by-step explanation:

divide using polynomial long division

I need help on this question. please help me.. I don't have idea on this.​

Answers

Answer:

D.

Step-by-step explanation:

5(-4 +10) × 4.8 ÷ [tex]\frac{3}{4}[/tex]

5(6) × 4.8 ÷ [tex]\frac{3}{4}[/tex]

30 × 4.8 ÷ [tex]\frac{3}{4}[/tex]

30 × 4.8 × [tex]\frac{4}{3}[/tex]

_________________________________

Hope this helps!!

If I have made a mistake, please let me know; I enjoy leaning from them:)

Answer:

Step-by-step explanation:

1. Classify the following polynomials as monomial, binomial trinomial and polynomial.
i) 7ab – 5a

Answers

Answer:

it's binomial...............................

It is binomial hope this helps

Write an expression to model each situation.


Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________



A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________

Answers

The first one should be:
(10 + 16) ÷ 2
because if you didnt have any parentheses, it would have a different answer.

the second one should be:
2/3 x 2 + 1/4

For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression

It is given that the expression is,

Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.

The expression for the given condition is,

=(10 + 16) ÷ 2

If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,

=2/3 x 2 + 1/4

Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.

Learn more about the expression here:

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Multiply (x^2 + 4x) (x^3 - 2x^2 + x + 7)

Answers

Answer:

x^5+2x^4-7x^3+11x^2+28x

Step-by-step explanation:

2.5 times 1.75 times 2.49

Answers

Answer:

The answer to this equation is 10.89375

the height and diameter of a cylinder are 21 cm and 12 cm. find the volume of cylinder

Answers

Answer:

the answer is 6930 cm3.

Step-by-step explanation:

please mark my answer in brainlist

An art teacher divided her students into two groups of equal size.

25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?

Answers

Answer:

67.5% or 68%

Step-by-step explanation:

Say each group has 100 students. 25% of 100, is 25 students.

25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.

60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.

25+40=65

60+75=135

That is true, since there are 200 students in total.

Now set up a ratio, with watercolor over acrylic.

135:65

135 is 67.5% of 200.

I really don't know if that is a choice, so maybe 68%?

-hope it helps

How would I solve this?

Answers

Answer:

2a+3b=4a-3b

a+3=4b

b=3

a=9

Step-by-step explanation:

2a+3b=4a-3b

-2a=-6b

a=3b

a+3=4b

3b+3=4b

3=b

a=9

I do not know how to answer these questions, can someone explain what I would do to solve them? ​

Answers

Answer:

Step-by-step explanation:

Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)

Answers

With the center of dilation at the origin, the image is given by the product

of the corresponding point on the preimage and the scale factor.

The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]

Reasons:

The center of dilation of quadrilateral MNOP = The origin

The image following the dilation of MNOP = M'N'O'P'

The scale factor of dilation = 1.5

Required:

The coordinates of N'

Solution:

The coordinates of N in MNOP = N(3, 3.5)

The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;

(x', y') = Scale factor × (x, y)

Which gives;

The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)

The coordinates of N' = C) (4.5, 5.25)

Learn more about dilation transformation here:

https://brainly.com/question/12561082

Answer:

C) (4.5, 5.25)

Step-by-step explanation:

a point moves so that it's y-coordinate is always 2 less than it's x-coordinate.
1) write an equation for it's path
2)where does it cross the x-axis
3) where does it cross the y-axis
4) what is it's slope

Answers

Step-by-step explanation:

y is always 2 less than x

1) y = x- 2

2) where does it cross the x-axis ? that means y = 0.

0 = x - 2

x = 2

3) where does it cross the y-axis ? that means x = 0

y = 0 - 2 = -2

4) the slope is always the factor of x.

in

y = x - 2.

the factor of x is simply +1.

If its y-coordinate is always 2 less than its x-coordinate, this is expressed as y = x - 2

Slope and equations

From the given information

Let the y-coordinate be yLet the x-coordinate be x

If its y-coordinate is always 2 less than its x-coordinate, this is expressed as:

y = x - 2

The equation of the path is y - x - 2

2) The point where th line cuts the x-axis is at y = 0

0 = x - 2

x = 2

The point is at (2, 0)

3) The point where th line cuts the y-axis is at x = 0

y = 0 - 2

y = -2

The point is at (0, -2)

4) The standard equation of a line is y = mx + b where m is the slope. Given the equation y = x - 2

Comparing:

mx = 1x

m = 1

Hence the slope of the equation is 1

Learn more on slopes and intercept here: https://brainly.com/question/25826868

help ASAP please which too answers are correct ​

Answers

Answer:

20 (30 + d)

Step-by-step explanation:

your welcome :)

Answer:

2 and 4th one.

Step-by-step explanation:

Hopes This Helps :)

How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches

Answers

Answer:

24 screeches

Step-by-step explanation:

20M=12L=8P=24S

A line has a slope of 3 and passes through the point (8, 261. What is the
equation of the line?

Answers

Answer:

Step-by-step explanation:

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

 y - y₀ = m(x - x₀)

Here the line passes through the point (5 , -3)

⇒ x₀ = -2 and y₀ = -5

Given : Slope(m) = -8

Substituting all the values in the standard form, We get :

Equation of the line : y + 3 = -8(x - 5)

Find the change in profit in dollars for each owner.
A. –43,200
B. 675
C. –675
D. 5,39

Answers

I read the question, and I am unable to answer that
I need to know other things besides the profit for each owner
I need to know the prior accounting period's profit for each owner

Ben’s father is paying for a $20 meal he has a 50% off coupon for the meal after the discount a 7% sales tax is applied what does Ben’s father pay for the meal after the discount

Answers

$20 = 100%
50%= $10
Making $10 the new 100%
$10/100=0.1
0.1=1%
0.1x7=0.7
Meal after discount = $10.70
I think this is right? I hope it helped :)

Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?

Answers

Answer:  150 students

Step-by-step explanation:

Let X be the total number of students.  We are told that:

0.60X = 90 students

X = (90 students)/0.60

X = 150 students

which pairs of polygons are congruent?

A. 3 and 4

B. 1 and 3

C. 1, 3, and 4

D. 2, 3, and 4

E. 1, 2, 3 and 4

Answers

Answer:

B

Step-by-step explanation:

NEED HELP NOW PLEASE

Answers

Answer:

-33.24 degrees F, -33.625 degrees F, -33.833 degrees F

#3: Classify the number below. Select all that apply.

-8

A. Real Number
B. Irrational
C. Rational
D. Integer
E. Whole
F. Natural

Answers

The answer would be C and D

1. You are planning an extended trip to Mexico. You have a new smartphone to keep in touch with your friends but are concerned about the roaming charges since you will be outside the home network service area. Your plan costs $40.00 per month plus $0.35 per minute for roaming charges. Write a linear model relating your monthly cost, C, and the roaming minutes, t.

A: C = $40 + $0.35t
B: C = $40 $0.35t
C: C = $0.35 + $40t
D: C = $0.35 $40t

Answers

a. $40 is the set price per month and $.035 is the changing rate per minute. If t represents the minutes you use the phone, then you have to multiple that amount by $.035

stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ? ​

Answers

Answer:

95% of Grade 6 pupils graduated

Answer:

95% of Grade 6 Pupils Graduated

Step-by-step explanation:

Express the Statement Mathematically:

646/680

Add Percentage

646/680 * 100%

By Division

0.95 * 100%

Then, Multiply

95%

What is the slope of the line that contains these points?

Slope:

Answers

Answer:

-4

Step-by-step explanation:

Slope formula:

m=y2-y1/x2-x1

I will use (-1,10) and (1,2)

2-10/1-(-1)

Which is

-8/2

Divide:

-4

Thus the slope is -4

Hope this helps!

Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)

Answers

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn  more on inequality here: brainly.com/question/24372553

help i have math homework and im real bad at it i got a B- last year so help

Answers

4y-12 is the answer
4y-12 is correct. whatever number is outside of the parentheses you just multiply that with the two numbers in the parentheses to distribute :)

simplify an expression for the perimeter of the rectangle

Answers

3w+3w+(5w-2)+(5w-2)
6w+10w-4
16w-4

16w-4
Hope this helps!!

The expression for the Perimeter of rectangle is 16w-4.

What is perimeter of rectangle?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Perimeter of the rectangle = 2(length+width)

Given the paramters are;

length  = 5w-2

width = 3w

Perimeter of the rectangle = 2(length+width)

Perimeter = 3w+3w+(5w-2)+(5w-2)

= 6w+10w-4

= 16w-4

To know more about perimeter of rectangle refer to :

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