Answer:
24 ft^3
Step-by-step explanation:
Cylinder:
Volume = (pi)r^2h
Cone:
Volume = (1/3)(pi)r^2h
When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.
A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.
volume of cylinder = 72 ft^3
volume of cone = (1/3) * 72 ft^3 = 24 ft^3
Answer:
The volume of cone is 24 ft³
Step-by-step explanation:
Given that volume of cylinder = 72 ft³
Volume of cylinder = πr²h
Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
Volume of cone = volume of cylinder/3
= 72/3
= 24 ft³
Which is the answer?
The cost of a ticket increases by 10% and the cost is £19.25. What was the cost before? The answer is £17.50 but how do you work out this? Can you please tell me the method?
Answer:
$19.25 - 10% = $17.50
Step-by-step explanation: Not sure which method your referring to, but its a simple equation that can be written out as the above.
Find the point that lies on the line described by the equation below. y - 8 = - 3 (x-6)
Answer:
B. (6, 8)
Step-by-step explanation:
To figure this out, you can plug in the coordinates to see if you get matching answers. Since you believe answer "B," is correct, we can check:
y - 8 = -3(x - 6)
8 - 8 = -3(6 - 6)
0 = -3(0)
0 = 0
Since the answers match, that makes answer "B," correct.
3(4)+3(2+7)= ×(4+9) what number is missing to make this equation true
Step-by-step explanation:
3 is missinh to make this question true
3×(4+9)
in the given figure, mBC =118°, mBE=76°, and m
a.) the measure of DE is 48°, and triangle BCD is isosceles.
b.) the measure of DE is 83°, and triangle BCD is isosceles
c.) the measure of DE is 48°, and triangle BCD is not isosceles.
d.) the measure of DE is 83°, and triangle BCD is not isosceles.
Answer:
Correct option: A
Step-by-step explanation:
The angle BDC inscribe the arc mBC, so we have that:
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
From the secants relation in a circle, we have that:
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
mDE = 48°
The sum of the arcs is 360°, so we have:
mBC + mCD + mDE + mBE = 360
118 + mCD + 48 + 76 = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle mCBD inscribes the arc mCD, so we have:
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles mCBD and mBDC are equal, so the triangle is isosceles.
Correct option: A
Please help I have no idea how to do this and its due in a couple hours
Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful
Step-by-step explanation:
Which properties justify the steps taken to solve the system?
{3x−2y=10
{4x−3y=14
Drag and drop the answers into the boxes to match each step.
Answer:
Just took it!
Step-by-step explanation:
7/8 - 3/64 give your awnser in its simplest form
Answer: to
this answer is attached to the picture
Answer:
[tex] \frac{53}{64} [/tex]
Step-by-step explanation:
[tex] \frac{7}{8} - \frac{3}{64} \\ \frac{7 \times 8}{8 \times 8} - \frac{3}{64} \\ \frac{56}{64} - \frac{3}{64} \\ = \frac{53}{64} [/tex]
each leg of a 45 45 90 triangle measures 12cm, what is the length of the hypotenuse
Answer:
12√2
Step-by-step explanation:
Use the Pythagorean Theorem here:
(12 cm)^2 + (12 cm)^2 = 288 cm^2.
The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2
Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.
To solve for the hypotenuse, we will use the Pythagorean Theorem.
The formula to find the hypotenuse is:
a^2 + b^2 = c ^2
We already know that both legs are 12cm, so we can plug them in.
12^2 + 12^2 = c^2
Solve.
144 + 144 = c^2
Add.
288 = c^2
Find the square root of 288.
sqrt(288) = 16.97
Therefore, the square root of 288 is 16.97
If we round 16.97 to 17 and then square it, that would equal 289.
So, the best choice is to leave it as 16.97.
Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.
Which expression is equivalent to 6x2 – 19x – 55?
(2x – 11)(3x + 5)
(2x + 11)(3x - 5)
(6x – 11)(x + 5)
(6x + 11)(x - 5)
So the right answer is of option D.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
(6x + 11)(x – 5)
Step-by-step explanation:
It's D on edg
6x-2y-3x+2y simplify
Answer:
3x
Step-by-step explanation:
6x-2y-3x+2y
Combine like terms
6x -3x -2y +2y
3x +0
3x
Answer:
3x
Step-by-step explanation:
6x-2y-3x+2y
combine like term
6x-3x= 3x
-2y+2y=0
3x
Graceland Farm has two cylindrical water tanks, one for cold and a second for hot water. The hot water tank has a diameter of 8 feet and can hold 503 cubic feet of water. If the cold water tank is shorter than the hot water tank, than how tall can the cold water tank be? Is there more than one solution?
Answer:
h < 10 or (0, 10)
The problem has multiple solutions
Step-by-step explanation:
In this case we can calculate the height of the hot water tank because we know the diameter and volume. The formula is:
V = pi * (r ^ 2) * h
we solve for h:
h = V / (pi * r ^ 2)
the radius is half the diameter, that is, r = d / 2; r = 8/2 = 4
replacing:
h = 503 / (3.1413 * 4 ^ 2)
h = 10
the problem has multiple solutions since they say that it is shorter, shorter is a number less than 10.
solution: h <10 or (0, 10)
kevin deposits $1000 at 9% annual interest, compounded quarterly. how long will it take for the account to earn $1000 interest ?
Answer:
2 years and 13 days
Step-by-step explanation:
Kevin deposits $1000 at 9% annual interest, compounded quarterly. How long will it take the account to earn $1000 in interest? Round to the nearest year. 11+0)46 = 21 7.79 -t 2 years 13 MOVI2.
A rectangular building has a perimeter of 208 meters. It’s area is 2415 square meters. What are the dimensions of the building?
Answer:
Step-by-step explanation:
Perimeter of rectangle = 208 m
2*(l + w) = 208 {divide both sides by 2}
l +w = 208/2
l +w = 104
l = 104 - w
Area of rectangle = 2415 square meters
l*w = 2415
Substitute l = 104 - w in the above equation,
(104 - w ) *w = 2415
104w - w² = 2415
0 = 2415 - 104w + w²
w² - 104w + 2415 = 0
Sum = -104
Product = 2415
Factors = (-69) , (-35)
w² - 35w - 69w + (-69)*(-35) = 0
w(w - 35) - 69(w - 35) = 0
(w -35)(w -69)
w - 35 = 0 ; w -69 = 0
w = 35 ; w = 69
The dimensions of the building: 35 , 69
8=9-5x find the value of x
Answer:
[tex]x = \frac{1}{5} [/tex]
Step-by-step explanation:
8-9=-5x
-1=-5x (divide both sides by -5)
x=-1/5 (since they r both negative they both become positive)
x=1/5
Find the surface area and use 3.14 for pie
Answer:
640.56ft^2
Step-by-step explanation:
V=2πrh+2πr^2
V=2×3.14×6ft×11ft+2×3.14×6^2
V=6.28×66ft^2+6.28×36ft^2
V=414.48ft^2+226.08ft^2
V=640.56ft^2
A stackable CD rack holds 20 CDs and costs $3. Mark has a collection of 120 CDs. How much will it cost him to buy enough racks to hold all of his CDs?
Answer:
You would need $18 total to buy the racks needed.
Step-by-step explanation:
First, every 20 CDs needs a new rack, so you would divide 120 by 20.
120 / 20 = 6 racks
Second, you would multiply the price ($3) of a rack by how many racks needed.
3 * 6 = $18
HELP PLZ no guessing
Answer:
5 1/4
Step-by-step explanation:
Divide 15 3/4 by 3 to get the answer
Take away 5 from 6 times k
Answer:
6k-5
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
6-5=1
1*k=k
Factor the polynomial: 2x2(x - 5) - 3(x - 5)
O A. (x - 5)(2x2 - 3)
B. (x - 5)(2x - 3)
O c. 2x2(x - 5)
O D. (x - 5)(2x + 3)
Answer:
A
Step-by-step explanation:
[tex]2x^2(x-5)-3(x-5)=\\2x^3-10x^2-3x+15=\\(x-5)(2x^2-3)[/tex]
Therefore, the correct answer is choice A. Hope this helps!
The factor of the polynomial is (x - 5)(2x² - 3).
Option A is the correct answer.
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
We can factor the polynomial 2x² (x - 5) - 3(x - 5) by first factoring out the common factor of (x - 5).
This gives:
2x² (x - 5) - 3(x - 5)
= (x - 5)(2x^2 - 3)
Thus,
The factor of the polynomial is (x - 5)(2x² - 3).
Learn more about polynomials here:
https://brainly.com/question/2284746
#SPJ7
Consider the function represented by the table. What is f(0)?
Answer:
The table isn't shown, but f(0) will be found when you put zero in for x.
hey can someone help me out on this? tysm
Step-by-step proof:
by AAA similarity, triangle WZP is similar to triangle XYP.
so WZ/WY=PZ/PY=1=WP/PX, so we get WP=PX
Answer:
n/a
Step-by-step explanation:
theyre similar by aaa similarity
Check that x=2 and y=5 is a solution of both equations below:
X+2y=12
3x+6y=36 *
Answer:
yes
Step-by-step explanation:
Substitute x = 2 and y = 5 into the left side of the equations and if equal to the right side then they are a solution.
x + 2y = 2 + 2(5) = 2 + 10 = 12 ← True
3x + 6y = 3(2) + 6(5) = 6 + 30 = 36 ← True
Thus x = 2, y = 5 is a solution to both equations
Answer:
i dont understand your question
Step-by-step explanation:
Ariel is filling a giant beach ball with air. The radius of the beach ball is 30cm. What is the volume of air that the beach ball will hold? Either enter an exact answer in terms of π πpi or use 3.14Pi.
Answer:
V =36000 pi cm^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
We know the radius is 30
V = 4/3 pi (30)^3
V = 4/3 pi (27000)
V =36000 pi cm^3
What equation matches the table of values
The volume of a ball is 288pi cm cubed. Find the dimensions of a rectangular box that is just large enough to hold the ball.
Answer:
r = 6 cm
Step-by-step explanation:
The volume of a sphere is 288 pi cm tripled . Find the lenght of a radius of a SPHERE.What is the answer and how did you do it?
-------------------
The volume of a sphere of radius r is:
V+=+4%2Api%2Ar%5E3%2F3
It's r cubed, not tripled. meaning r*r*r
-------------------
288pi+=+4%2Api%2Ar%5E3%2F3
864+=+4r%5E3
r%5E3+=+216
r = 6 cm
The center of a circle is located at the point (4, 6). A point on the circle is (1, 10). Which
is the equation of the circle?
Answer:
(x-4)^2+(x-6)^2=25
Step-by-step explanation:
Jenny spent 25 minutes doing her reading assignment, and then 1 hour and 15 minutes solving her math homework. What part of this time did she read?
1 hour is 60 minutes.
She spent a total of 60 + 15 + 25 = 100 minutes on home work.
She spent 25 reading, so she spent 25/100 of her time reading.
25/100 reduces to 1/4
please help ..its soo much to comprehend
Answer:
3600
Step-by-step explanation:so it is easiest to do one persons costs then just multiply it by 4 to get the cost of 4 people. so first for one person..... (their travel is) 130 + (hotel x 7 days) 60 x 7 + (spending money) 350 =900 . now multiply this by 4 = 3600
Let's start off by working out the cost for one person. This person has to spend 130 pounds on travel and have 350 pounds of spending money. So far that is 130+350 = 480 pounds. Then it says the hotel costs 60 pounds per day. At 7 days, it will cost one person 7*60 = 420 pounds. This adds onto the 480 to get 420+480 = 900.
Therefore, each person will need 900 pounds to go on a 7 day trip. If we had 4 people going, then 4*900 = 3600 pounds is needed total.
Answer: £3600Please help me solve this. Also please provide working out.
Answer:
A=238.87 cm
Step-by-step explanation:
First find the area for the rectangle
11*23= 253 cm
then find the area for the little circles
D=3cm so r=1.5cm
Now plug in values into formula
A=π(1.5)^2
A=π(2.25)
A=3.14(2.25)=7.065cm
A=7.065cm since there are two circles
7.065*2=14.13
Now subtract the area of the circles from the rectangle
253-14.13=238.87