1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bonufazy [111]
3 years ago
15

What is the volume of the cone with a radius of 10ft and a height of 21ft?round to the nearest cubic foot

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0
V≈ 2199.11ft³V=πr 2nd power h/3=π·10 2nd power·21/3≈2199.11486ft³
You might be interested in
What is the result of gaining 10 pound then losing 20
kiruha [24]

Answer:

-10 pounds or 10 pounds loss

Step-by-step explanation:

you subreact 10-20 and you get -10

3 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same dista
Elina [12.6K]

Answer:

Point R is at (−40, −10), a distance of 20 units from point Q

Step-by-step explanation:

4 0
3 years ago
Brent runs a small toy store specializing in wooden toys. From 2000 through 2012, the number of toys Brent made can be modeled b
maks197457 [2]

Answer:

which of the following element is essential to formation and

Step-by-step explanation:

maintenance of bones and teeth

5 0
2 years ago
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D
polet [3.4K]
Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10
Also,
\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
Therefore
\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11
Also,
\frac{5-y}{5-(-4)} = \frac{4}{9}  \\ 5-y = 4 \\ y = 1

Answer:
The coordinates of D are (1.11, 1)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Question:
    14·1 answer
  • Evaluate m + n2 if we know m = 2 and n = –2.
    13·1 answer
  • Plz answer and write the question number and the answer next to it plzzzz
    14·2 answers
  • What's the answer to 1/2(x+4)^2-5+=3.
    6·1 answer
  • Of the 24 students in Mrs. Jenkins class, only 6 passed the semester exam. What percent of students in Mrs Jenkins class did not
    13·1 answer
  • Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe
    12·1 answer
  • If you borrow 500 for 4 year at an intrest rate of 6 %
    12·1 answer
  • I need help please help me. This is hard.
    10·1 answer
  • Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class
    15·2 answers
  • Which shows the image of ARST after the rotation (x, y) → (y, -x)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!