Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
height (h)=
radius (r)=
Answers
Answer:
So, The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
Step-by-step explanation:
P.S - The exact ques is -
As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
As given,
V = [tex]9\pi[/tex]
⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]
So,
The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
In Case I-
When r = 3, h = 3
(3)² ×3 = 9×3 = 27
Satisfied
Case II-
r = 1, h = 27
(1)²×27 = 1×27 = 27
Satisfied
Case III-
r = 2, h = 6.75
(2)²×6.75 = 4×6.75 = 27
Satisfied
If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
What is the volume of the cone?The volume of the cone is the volume occupied by the cone. It is given by the formula,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]
where r is the radius of the base, and h is the height of the cone.
Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]
Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.
Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,
[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]
Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
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What kind of transformation is described by the rule (x, y) → (0.5x, y)?
A. Vertical compression
B. Vertical stretch
C. Horizontal compression
D. Horizontal stretch
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The owner of a small store buys coats for $60.00 each. Answer parts a and b.
a. She sells the coats for $72.00 each. What percent of the purchase price is the sale price?
The sale price is
% of the purchase price.
Answers
First we calculate the difference between the purchase and sale price.
$72.00 - $60.00 = $12.00
$12 is the increase in dollars. In order to increase as a percentage it is now necessary to divide the increase by the original purchase price.
12.00 ÷ 60.00 = 0.2
To get the final percentage we multiply the answer by 100. This simply means moving the decimal place two columns to the right.
0.2 x 100 = 20
Therefore the percent of the purchase price is 20% of the sale price.
The percent of the purchase price would be 20% of the sale price.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
First we need to calculate the difference between the purchase and sale price.
$72.00 - $60.00 = $12.00
Since $12 is the increase in dollars.
To increase as a percentage we need to divide the increase by the original purchase price.
12.00 ÷ 60.00 = 0.2
This simply means moving the decimal place two columns to the right;
0.2 x 100 = 20
Therefore, the percent of the purchase price would be 20% of the sale price.
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Help with this please ..
Answers
Answer:
the answer is 2.59x10^7
Which video game do you guys(and girls) like more?
*Halo (series)
*Call of duty WW2
*Call of duty Cold war
*Assassin's Creed(series)
*Pokemon (series)
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Answers
Answer:
ALL OOF THEM
Step-by-step explanation:
Answer:
I like pokemon the best out of these choices. I am a logical thinker and love to think about the math involved (doing calcs) nuzlockes are such a fun challenge
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Answers
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
-40, 20,-10, ...; 5th term
The 5th term of the sequence is
Answers
Answer: -2 1/2
Step-by-step explanation:
First term = a = -40
Common ratio = 2nd term / First term = 20 / -40 = -1/2
5th term = ar⁴
5th term = -40 × (-1/2)⁴
5th term = -40 × 1/16
5th term = -2 1/2
2. Find the length of the leg. If your answer is not an integer, leave it in simplest radical
form.
14
A. 14
45
B. 712
C. 98
D. 7
Answers
Answer:
C
Step-by-step explanation:
I'm bot sure if it is correct
HELP ME PLEASE ILL MARK BRAINLIEST PLEASE THUS IS ALGEBRA 1 PLZZZ
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Answer:
y=0x+(-3)
Step-by-step explanation:
- 28x + 18 = simplest form
Answers
Answer:
The answer is -2(14x - 9)
Step-by-step explanation:
Hoped this helped!
Sorry if this is wrong.
I NEED HELP PLEASE ANSWER IN LESS THAN 5 MINUETS!!!
Answers
Answer:
D is the correct answer
Have a good dayI need help asap!!! Please explain and I will give brainliest!!
Answers
Answer:
DF ≅ AC
Step-by-step explanation:
To prove that the triangles are congruent by AAS, we need a side from each triangle to be congruent to the other, correspondingly. So, if AC ≅ DF, we could prove the triangle's congruency by AAS. In the answer choices, the only answer that works is DF ≅ AC.
complete the equation so that it has infinitely many solutions
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Answers
4(x/8 - 2) = 1/4(2x - 1/2) is the complete equations for having infinitely many solutions.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
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(1/2)x - 8 = (1/8)x - ___.
Now, RHS is half of RHS so the blank space should be (-8/4) = -2.
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Answers
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What is the volume of the sphere?[tex]V=\frac{4}{3}\times \pi \times r^{3}[/tex],
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For given example,
We have been given a spherical container having radius = 8 cm
The amount of water container can hold = the volume of this spherical container
Using the formula of the volume of the sphere,
[tex]V=\frac{4}{3}\times \pi \times r^{3} \\\\V=\frac{4}{3}\times 3.14 \times 8^{3} \\\\V=2143.57~cm^3[/tex]
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Use the exchange rate £1 = €1.13 to convert €339 into £.
Answers
Answer:
£383.07
Step-by-step explanation:
339 X 0.13=44.07
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Please helpp plzzzzzz
Answers
Answer:
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So basically what you do is subtract 3 from each side :)
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Answers
Answer:
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Step-by-step explanation:
Answer:
0.25, or 25%
Step-by-step explanation:
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hopes this helps
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Answers
One year, the population of a city was 132,000. Several years later it was 149,160.
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Answers
Answer: 13%
Step-by-step explanation:
To find the percent increase, first find the increase in figures:
= 149,160 - 132,000
= 17,160 people
Then find the percent increase in this manner:
= Increase / Previous population * 100%
= 17,160 / 132,000 * 100%
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ill give brainliest!
please help
Answers
Answer:
it's correct option is
C. x > - 32
Which of the following is an equation with ONE solution?
A
2x = 2x + 18
B
2x - 10 = 2(x - 5)
C
5(x + 3) + x
D
2x + 5= 11 - 4x
Answers
Ethan planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to find x, the number of meters the tree has grown? 1.85 +2 = 5.30 1.85 + 5.30 = x 1.85% = 5.30 1.85 (5.30) = 2 My Progress >
18
.
1.85+x=5.30
Answers
Answer: The tree has grown 3.45 meters
Step-by-step explanation:
Equation
5.30 = x + 1.85
1) Sophomore students were surveyed to choose their favorite subject out of Algebra
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recommended to show how you calculated the answers.
:
Algebra
ELA
Social Studies
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Girls
50
40
60
150
Boys
65
30
70
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113
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Step-by-step explanation:
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Find the total surface area of the figure shown.
Answers
Answer:
I think it's C but I might be
Step-by-step explanation:
Ken and Steve are in a long jump competition. Ken jumps 15 metres. Steve jumps 1.5 metres.
a) Who jumps further, Ken or Steve?
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Answers
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Step-by-step explanation:
Select all pairs of corresponding angles. assume the lines are parallel.
none
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4 and 8
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4 and 7
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Answer:
1 and 5
2 and 6
3 and 7
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I needed help gtwbfbwfbwh
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Answer:
30 is what percent of 25 = 120.
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Rafael earns $10.50 per hour helping his neighbor with their chores. He is curious how much money he will earn depending on the number of hours he works. Write an equation that describes the situation. Use x to represent the independent variable and y to represent the dependent variable.
PLZ HELP
Answers
Answer: y=10.50x
Step-by-step explanation:
The y in this equation represents the dependent varible which is our output what we are solving for. We know that Rafeal gets $10.50 per hour but we don't know how many hours he works so to represent the time we use the variable x. If we were to solve this we would take the hours that he worked and multiplied the number of hours by $10.50 to get y the cost which he earns.
The equation that represents the given statement will be equal to y = 10.50(x) and y is the dependent variable.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the data mentioned in the question,
Earning made by Rafael per hour = $10.50
Let the number of hours working is x.
Then, the equation that represents the given statement,
y = 10.50(x)
Here, y is the total money earned by Rafael.
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Write down in terms of n, an expression for the nth term
of the following sequences:
a) 12 10 8 6 4
b) 25 20 15 10 5
Answers
Answer:
In bold below.
Step-by-step explanation:
a) 12 10 8 6 4
This is an arithmetic sequence with common difference -2.
nth term = a1 + (n - 1)d
= 12 + (n - 1)-2
= 12 -2n + 2
= -2n + 14.
b) 25 20 15 10 5
This is an arithmetic sequence with common difference -5.
nth term = a1 + (n - 1)d
= 25 + (n - 1)-5
= 25 - 5n + 5
= -5n + 30.
Solve each equation.
1) -20 = -4x - 6x
Answers
Answer:
X= 2
Why
-20=-4x-6x
-20=-10x
-20/x=-10x/x
2=x
Answer:
i love algebra anyways
The ans is in the picture and the stops how i got it
(hope that helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
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Answer:
b=100
Step-by-step explanation:
not sure how to solve for a