The volume of the cylinder with the same radius and height as the cone is: 135 cm³.
What is the Volume of a Cylinder?Volume of a cone is given as, V = 1/3πr²hVolume of a cylinder = πr²hRelating both volumes, we would have:
Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.
Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:
Volume of the Cylinder = 3(45)
Volume of the Cylinder = 135 cm³.
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The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP
The area of the stacked prism is the amount of space on it
To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms
How to determine the number of prisms?
The dimension of the prism is given as:
2 inches by 3 inches by 4 inches
The surface area of the prism is calculated as:
A = 2 * (LW + WH + LH)
This gives
A = 2 * (2 * 3 + 3 * 4 + 2 * 4)
Evaluate the product
A = 52
When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.
So, the number of prisms (n) needed is:
100/ 52 < n < 130/52
Evaluate the quotient
1.9 < n < 2.5
Approximate
2 < n < 2.5
Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.
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Solve for X please! Include small explanation as-well
Answer:
x = 26
Step-by-step explanation:
Take the sides in proportion.
7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26pls help me !!
a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?
area of the circle = __ square inches
Step-by-step explanation:
area of circle - pie x r x r
22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)
77/2 is the sq inches
$1500 at 8.5% for 6 months. What is the interest?
Answer:63.75
Step-by-step explanation: 1500x0.085x0.5=63.75
Someone please help!!!!
Answer:
=
Step-by-step explanation:
quadratic values always set to 0 due to the x-intercept which you find from the equation
Write a two-column proof on a space provided
Answer:
Step-by-step explanation:
Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.
If 140 people were surveyed how many preferred crab? /////Show your work!
[tex]\qquad\qquad\huge \: \sf Answer[/tex]
Number of people who prefer crabs are :
[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]
[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]
[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]
Find the binomials that created the generic rectangle below.
Solve the following inequality
Answer:
14<x<20
Step-by-step explanation:
14<x<20 is your required answer
how many students are involved in the school music program but not school sports
Answer:
45% of the school because some will sign up
The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.
Answer:
= - 9/8
Step-by-step explanation:
(-13/5) * x = 117/40 multiply both sides by - 5/13
x = 117 / 40 * - 5/13 = - 9/8
Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.
Answer: 1. 10
2. an = an - 1 + 7 where a1 = -10
Step-by-step explanation:
Answer: A. an = an – 1 + 7 where a1 = –10
Step-by-step explanation:
An auditorium has rows of seats with a seats in each row Kayla
knows there are at least 70 seats but fewer than 156 seats in the
auditorium. How many rows of seats can there be in the auditorium
Use Exercises 1-a to answer the question
1. Explain how you would find the least possible number of rowe
in the auditorium
2. How would you find all the possible numbers of rows, without
having to check if & is a factor of every number between
70 and 1507
3. Name all the possible numbers of rows in the auditorium,
Step-by-step explanation:
Note: there is a typo, 'a' should be '8'The number of seats in each row is 8 and the total number of seats is between 70 and 150.
Let x be the number of rows, then we have the inequality:
70 ≤ 8x < 156Divide all sides by 8 to get:
70/8 ≤ x < 156/89 ≤ x ≤ 19 (taking closest integers)So the number of rows is between 9 and 19 both inclusive.
All possible number of rows
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19Answer:
1. 9 rows
2. see below
3. 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Step-by-step explanation:
Please note that I believe there are typing errors in the question and that the given information should be:
8 seats in each rowAt least 70 seatsLess than 150 seatsQuestion 1
To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:
⇒ 70 ÷ 8 = 8.75
As the answer is a decimal, round it up to the nearest whole number.
Therefore, the least possible number of rows in the auditorium is 9 rows.
Question 2
Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:
⇒ 150 ÷ 8 = 18.75
As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.
Therefore, the greatest number of rows in the auditorium is 18 rows.
Question 3
As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.
Therefore, all the possible numbers of rows in the auditorium are:
9, 10, 11, 12, 13, 14, 15, 16, 17, 18
What type of ballots are used when voting for president in the United States?
preference ballots
traditional ballots
alternative ballots
conventional ballots
Answer:
preference ballot
Step-by-step explanation:
A preference ballot is a ballot in which the voter ranks the choices in order of preference.
Answer:
Traditional ballots
Step-by-step explanation:
i took the test
A. >
B. <
C. =
D. none of the above
Answer:
i think the answer is >
Step-by-step explanation:
Hoped this helped
pls tell me if im wrong
Answer:
b
Step-by-step explanation:
You have to turn the scientific notation into standard form and compare the 2 and it comes into 8200 and 460000 and 8200 is less than 460000.
Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.
After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.
What is scale factor?Scale factor is the ratio of the corresponding sides of two objects.
Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)
(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A
Surface area of rectangular pyramid ASo, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²
Since
scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²
So, substituting the values of the variables into the equation, we have
surface area of rectangular pyramid A = 1215 cm²/33²
= 1215 cm²/1089
= 1.12 cm²
So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²
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6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.
Answer:
1/16 chance that it will land on 16 because there are 16 faces
Answer:
1/16.
Step-by-step explanation:
That will be 1 chance in 16.
WORTH 80 sorry its zoomed out but is there cluster or outliers where and explain why
Answer:
15.42, 25.49, 46.19
Step-by-step explanation:
although 32.28, 40.40 could also be considered
How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?
Answer:
391.3
Step-by-step explanation:
13x43=559
559-167.70=391.3
Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j
Help mee please
Answer: [tex]j \div 8[/tex]
We're dividing unknown number j over 8
We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]
The quotient is the result of a division problem (there may or may not be a remainder).
Use the image below to find the missing side lengths.
Answer:
Step-by-step explanation:
if x varies directly with y and x=-19 when y=14 what is x when y=2
The variation from x to y is an illustration of a direct variation
The value of x when y = 2 is -19/7
How to determine the value of x?The variation is a direct variation.
So, we have:
x = ky
Where k represents the constant of variation
Make k the subject
k = x/y
This gives
x1/y1 = x2/y2
So, we have:
-19/14 = x/2
Multiply both sides by 2
x = -19/14 * 2
Evaluate
x = -19/7
Hence, the value of x when y = 2 is -19/7
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Find the square. Then simplify your answer.
Answer:
4a²-8a+4
Step-by-step explanation:
[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]
[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]
[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]
On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?
The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.
What are fractions?Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.
How much lemonade did Regan sell?2 7/8 x 2/3
23/8 x 2/3 = 23/12 = 1 11/12 gallons
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Which proportional line has the smallest slope?
Question 14 options:
y= 8x
y=2x
y= .75x
y=.256x
Answer: y=.256x
Step-by-step explanation:
This line has the smallest coefficient for x.
ayuda porfa, quien entiende???
Answer:
c
Step-by-step explanation:
the right answer is c it good
Helllllp!!!! Will Mark Brainliest!!!
Answer:
from my side it's blurry
the function f(x) is defined by f(x)=3x. the inverse of f(x) is g(x) what is g(12)
Answer:
answer is 4
have a nice day
I don't know how to answer this, please help!
