Answer:
The volume of the cylinder is [tex]300\pi[/tex] cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius ([tex]R[/tex]), measured in feet, and height ([tex]h[/tex]), measured in feet, are defined by the following equations:
Cone
[tex]V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h[/tex] (1)
Cylinder
[tex]V_{cy} = \pi\cdot R^{2}\cdot h[/tex] (2)
The ratio of the volume of the cylinder to the volume of the cone is:
[tex]\frac{V_{cy}}{V_{co}} = 3[/tex] (3)
If we know that [tex]V_{co} = 100\pi\,ft^{3}[/tex], then the volume of the cylinder is:
[tex]V_{cy} = 3\cdot V_{co}[/tex]
[tex]V_{cy} = 300\pi\,ft^{3}[/tex]
The volume of the cylinder is [tex]300\pi[/tex] cubic feet.
Solve the inequality:
2(x + 3) - 4 >4(-2 + 3) - 10
Answer:
X > -4
Step-by-step explanation:
2x+ 6 -4 > 4(-2+3) - 10
Answer:
x > − 4
(-4 , ∞ )
Step-by-step explanation:
If you remove the parentheses you get 2x+6-4>4*1-10
then calculate to 2x+6-4>4-10
Move the constant to the right 2x+2>-6
calculate again 2x>-6-2
Divide both side 2x>-8
Solution stated above
x > − 4
(-4 , ∞ )
The circumference of this tabletop is 24π inches, Which of the following best describes how to determine the area of the tabletop?
A) Multiply 2(24) to calculate the diameter. Then multiply the diameter by π
B Find half of 24 to calculate the radius. Then multiply the radius by π.
C Multiply 2(24) to calculate the diameter. Then square the diameter and multiply the result by it π
D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.
Answer:
D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.
Step-by-step explanation:
Given that circumference of circle is: [tex]24 \pi[/tex]
The formula for circumference of circle is:
[tex]C = 2\pi r[/tex]
Comparing both formulas, we get
[tex]24\pi = 2\pi r\\24 = 2r\\r = \frac{24}{2}\\r = 12[/tex]
The radius is obtained by dividing 24 by 2.
We also know that the area of circle is:
[tex]A = \pi r^2[/tex]
The radius is being squared and then multiplied by pi to get the area.
Hence,
The correct answer is:
D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.
A store raises the price of a dress from $20 to $22. What is the percent of the increase?
Answer:
10% increase
Step-by-step explanation:
22-20/20 (increase/original)
alice has a total of 12 dimes and nickles. she has 2 more nickles than dimes. which equation represents the given problem situation
Answer:
A
Step-by-step explanation:
She has 2 more nickels then dimes not 2 times more therefore answers B and D are incorrect. C is incorrect because it has that there are 2 more dimes than nickels. A is correct because it says that there are c dimes, and then c +2 nickels.
Please help me graph thisGraph Y=-2x-7
Answer:
6 (2 x - 3)
or a simplefied version:
12x - 18
Step-by-step explanation:
0.06/ 0.5334 Find the quotient
Answer:
0.112485939 is what the screen of my calculator shows (btw the last digit has been rounded)
Plzzzz give me Brainliest!!!!!
Answer:
8.89
sure that what I got give me brainliest please
2^3+(2-10)-42
Please awnser
Answer:
-42
Step-by-step explanation:
2^3+(2-10)-42
8+(-8)-42
0-42
= -42
88 is 0.8% of what number?
Answer:
11000
Step-by-step explanation:
I got this answer from g00gle
Find the length of the missing side
Answer:
sqrt(51)
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
7^2 + x^2 = 10^2
49 + x^2 = 100
x^2 = 51
x = sqrt(51)
Answer: sqrt(51)
1. The sum of a number and 10 is less than 22
2.The product of a number and 7 is greater than or equal to 1/2
3.One-third of a number is no more than 17.5
4.8.2 is greater than or equal to the sum of a number and 11
5.9 less than a number is at least 15
Answer:
1) x < 12
2) x > 0.5/7
3) x < 5.83
4) x <= 7.2
5) x <= -6
Step-by-step explanation:
1)
x + 10 < 22
x < 22 - 10
x < 12
2)
x * 7 >= 0.5
x > 0.5/7
3)
x/3 <= 17.5
x <= 17.5/3
x < 5.83
4)
8.2 >= x + 1
x <= 8.2 - 1
x <= 7.2
5)
9 - x >= 15
9 >= 15 + x
x <= 9 -15
x <= -6
Help!!! A teacher divided the class into two groups of equal size.
3 5 of the first group are right-handed.
80% of the second group are right-handed.
What fraction of the class is right-handed?
A.4/5
B.7/10
C.5/7
D.8/9
7/10 answer ///////////
- 5/6 m = -60
dude im so sorry but i reallyyy dont get why they put letters in math
Answer:
m = -72
Step-by-step explanation:
- 5/6m = -60
multiply both sides by - 6/5
m = -72
Hope This Helps!!!
Answer: m=72
Step-by-step explanation: look at the picture it have the explain & hope this help
solve the equation: 5x -5
Answer: 5(x-1)
Step-by-step explanation:
BRAINLEST + THANKS! (college algebra/ pre-cal)
Is y = x^2 a function. Explain
Answer:
no it not
Step-by-step explanation:
X = y2 would be a sideways parabola and therefore not a function. ... If a vertical line passes thru two points on the graph of a relation, it is NOT a function
what is 2 to the 9th power
Answer:
it is 512
Step-by-step explanation:
1. Which of the following relations are functions?
Give reasons.
(a) R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}
(b) R2 = {(1, 2) (1, 3) (1, 4) (1,5)}
(c) R3 = {(x, y) (y, z) (z, t) (t, v)}
Answer:
R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}
R3 = {(x, y) (y, z) (z, t) (t, v)}
R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images
There were 24 cats and 16 dogs at the animal shelter. What is the ratio of the number of dogs to cats at the animal shelter?
Answer:
Step-by-step explanation:
24 cats
16 dogs
16:24
/8 to simplify
simplifyied-2:3
If the length of a rectangle is given the expression 2 square root of 153 and the width is given by 4 square root of 68, which radical expression represents the perimeter of the rectangle
the length of the rectangle is 3x+5y and the width is 2x+y determine the perimeter of the rectangle
Answer:
10x 10y
Step-by-step explanation:
A store marks its merchandise up 225% from the price it pays. The store buys a bag of chips for $1.20. How much will the store charge for the bag of chips? (PLS give an explanation too!!)
Answer:
$3.90
Step-by-step explanation:
multiply 1.20 x 2.25 and add the answer to 1.20
They would have to add that change up to cents because the store marks up to 225% from the prince it’s pays and we only add the 25 because if we add the 225 that changes the dollar that’s suppose to stay as 1$.
20+25=46 cents. U know it’s equals 45 cents because it’s just like counting by fives.
Sorry this is all I know about this problem.
A shipment of 11 microwave ovens contains 2 defective units. A restaurant buys 3 of these units. What is the probability of the restaurant buying at least non defective units?
What is the radius of the circle shown, given that point P is its center?
A)13.5 ft
B)27 ft
C)54.5 ft
D)729 ft. PLSSS HELP ASAP
The radius of the circle with point P as its center is 13.5 ft.
A circle is the locus of a point such that its distance from a fixed point is always constant (the same).
The diameter of a circle is a straight line segment that passes through the center of the circle and has endpoints on the circle.
The radius of a circle is half the diameter of the circle.
Given that the diameter of the circle is 27 ft. hence, the radius of the circle is:
Radius = Diameter / 2
Radius = 27 ft / 2 = 13.5 ft.
Hence the radius of the circle is 13.5 ft.
Find out more at: https://brainly.com/question/14866670
Jennifer opened a savings account a year ago. Her savings account earned $12 in interest and now has a balance of $1012. What was her initial investment (principal)?
Answer:
I think its $1000
Step-by-step explanation:
if she earned $12 the 1012-12=1000
Answer:
I really don't know much but this is what I know
If she has $12 dollars in interest and a year later she has $1012 making it so she earned EXACTLY $1,000 in the time being.
For which value of c will the equation 2x-5=2x-c have an infinite number of solutions? (1.5 points)
3
4
5
6
The length if the tunnel is 460 miles. if 1 inch represents 60 miles, what is the length of the tunnel?
Answer:
The length of the Tunnel is 8. 460/60 = 7.66666667 rounded to the nearest whole number is 8.
Step-by-step explanation:
5x^2-x use facoring to answer
There is A Spinner That Have 8 Space 1-8 What Is The Probability That Te Spinner Will NOT Land On 5 or 8?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Key skills needed: Probability, Possible Outcomes
1) We are given a spinner --> With numbers: 1,2,3,4,5,6,7, and 8
That means there are 8 numbers on the spinner.
2) The problem asks what is the probability that the spinner will not land on 5 or the 8.
To calculate this --> [tex]\frac{acceptedoutcomes}{total}[/tex]
3) The accepted outcomes are when the spinner lands on --> 1,2,3,4,6,7
That is 6 accepted outcomes.
4) The total outcomes is 8 (since there are numbers the spinner can land on).
5) Therefore, the answer would be [tex]\frac{6}{8}[/tex]
[tex]\frac{6}{8}[/tex] can be simplified into [tex]\frac{3}{4}[/tex] as both the numerator (6) and the denominator (8) share a factor of 2.
6) With this --> [tex]\frac{3}{4}[/tex] is the answer.
Calculate 5/9 of 50 give your answer correct to the nearest whole number
Answer:
27[tex]\frac{7}{9}[/tex] (rounded: 28)
Step-by-step explanation:
5/9 of 50 (of means multiply) = 5/9 x 50
= 27[tex]\frac{7}{9}[/tex]
Rounded: 28
-3x-7≤11
solve, please.
Answer:
x ≥ -6
Step-by-step explanation:
-3x - 18 = -3 • (x + 6)
x ≥ -6
-3.000 X - 18.000 ≥ 0
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