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)=
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.
Learn more about the volume of the cone:
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Please help me with this
Put one point at -10,6 and another at 6,-10
Please look at picture and answer the simplifying part
Answer:
3/10
Step-by-step explanation:
it is completely simplified already
look yall i got 10 math questions if you get all ten right brainlliest so if yall could help a man out here it would be great
here they are
1.)Which of the following best describes the squaring property of equality?
A.
if a=b,then [tex]a^{2} =b^{2}[/tex]
B
if [tex]a\leq b then a^{2} \leq b^{2}[/tex]
C
[tex]if a\geq b then a^{2} \geq b^{2}[/tex]
D
[tex]if a \neq b then a^{2} \neq b^{2}[/tex]
2.)Solve for x.
[tex]\sqrt{x-2} =9[/tex]
A.
11
B.
20
C.
83
D
no solution
3.)The length of a side of a square is [tex]\sqrt{x^{2}-4 }[/tex] If the area of the square is 12, find x.
A.
16
B.
4
C.
12
D.
[tex]\sqrt{148}[/tex]
4).Solve for x.
[tex]5x^{2} +3=-122[/tex]
A.
no solution
B.
–5
C.
±5
D.
±25
5.)solve for x[tex]x^{2} +5=30[/tex]
A.
±25
B.
[tex]\sqrt{35}[/tex]
C.
±5
D.
no real solutions
6.)The acceleration of an object can be described by the equation[tex]a=\frac{2d}{t²} where a is acceleration, d is the distance, and t is time. Suppose an object accelerates for a distance of 15 meters. Which of the following equations relates the time to the acceleration?
A.
[tex]t=\sqrt{\frac{a}{30} }[/tex]
B.
[tex]t=\sqrt{\frac{a}{15} }[/tex]
C.
[tex]t=\sqrt{\frac{30}{a} }[/tex]
D.
[tex]t=2\sqrt{\frac{30}{a} }[/tex]
7.)The acceleration of an object can be described by the equation [tex]a=\sqrt{\frac{2d}{t²} }[/tex] , where a is acceleration, d is the distance, and t is time. Suppose an object accelerates at a rate of 5 meters per second squared. Which of the following equations relates the time of the acceleration to the distance?
A.
[tex]t=\sqrt{10d}[/tex]
B.
[tex]t=\sqrt{2d}[/tex]
C.
[tex]t=\sqrt{\frac{5d}{2} }[/tex]
D.
[tex]t=\sqrt{\frac{2d}{5} }[/tex]
8.)Solve for x [tex]\sqrt{2x+8}=2[/tex]
A.
2
B.
–3
C.
–2
D.
no solution
9.)Solve for x:[tex]\sqrt{3x-2}=2[/tex]
A.
2
B.
[tex]-\frac{2}{3}[/tex]
C.
–2
D.
no solution
10.)What is the first step to solve the equation [tex]x^{2} -3=15[/tex]
A.
Take the square root of [tex]x^{2}[/tex], 3, and 15.
B.
Square 15.
C.
Add 3 to both sides of the equation.
D.
Add 1 to both sides of the equation.
can yall help a brother out im in deep sh|t if i dont pass so if your gunna do it do it right thank yall for helpen me out oh and i already tried to look em up so that dont work
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
Step-by-step explanation:
2.explanation: 11-2=9
sorry but that's all i know i'm only in middle school
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
2.explanation: 11-2=9
Step-by-step explanation:
Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent
Answer:
24.53
Step-by-step explanation:
9% of 22.50 = 2.03
22.50 + 2.03 = 24.53
Answer:
24.53
Step-by-step explanation:
After 14 years, I shall be three times as old as I was 4 years ago. What is my present age?
Answer:
Present age = 13 years
Step-by-step explanation:
Let the present age be x years.
14 years after age = (x + 14) years
4 years ago age = (x - 4)
According to the given information:
14 years after age = 3 times 4 years ago age
x + 14 = 3(x - 4)
x + 14 = 3x - 12
14 + 12 = 3x - x
26 = 2x
x = 26/2
x = 13 years
Thus, the present age is 13 years
What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?
Respond in the space provided.
Answer: 21
Step-by-step explanation:
Formula
(21.2°F − 32) × 5/9 = -6°C
help please! im really confused and stuck
Which angles are supplementary to 1 ( Select all that apply)?
Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.
What is a transvarsal line?A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.
We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.
∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.
learn more about alternate angles here :
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Please answer ASAP!!
6.7.30
What is the perimeter of parallelogram WXYZ? It’s not 25 I’ve tried that.
6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Answer:
452.448in² options D
Step-by-step explanation:
A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Given data
D=24 inches
Radius =d/2= 24/2= 12 inches
Area A
A=πr²
Substitute
A=3.142*12²
A=3.142*144
A=452.448in²
I need help like actual help
Answer:
look at the explanation
Step-by-step explanation:
hey hey. i’ll help you. sorry if this is long. :)
okay so let’s think about this. there’s a lot of extra information that we don’t need so let’s get rid of everything up to ”7 years”.
now.. she works 40 hours per week right? and she makes $2.13 per hour. so now that we have that, let’s think what 40 x $2.13 is. if you do the math right you should get 85.2 or $85.20. so that’s in one week, but then in a typical week sheserves 75 tables that have an average bill of $4q. so now that we have those numbers, we take 41 x 75 then add it to our weekly number. so we multiply the two together and we get 3075. not 30.75 but $3075.00! so take that and add it to 85.20.. you should get 3160.2, or $3160.20. but then typically an 18% tip, so let’s go back to the number before (41) and find what 18% of 41 is.
18% of 41 is 7.38 or in this case, $7.38. so once we have that, you’re gonna want to multiply 7.38 by 75 to get that total. if you do that you should get 553.5
okay.. now we have all the numbers we need. we’re already basically done, we just need to add the tips to the other total!
$3160.20 + $553.50 = $3713.70
so in a week, she makes $3713.70
i hope this helped you! good luck!
Answer:
Answer vary :
$85.20
Step-by-step explanation:
i did it on the question thing comments. And I’m super positive it’s right.
MARKING BRAINLIESTPLZZ HELP ME W MY MATH
Answer:
As BVC is similar to RJC
from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12
Y=12
Can somebody tell me which one it is? options are (BE, CF, DG, GF)
Answer:
CF
Step-by-step explanation:
Mark as brainliest please
Convert 2.1 A to nanometers
Find the common difference for the given sequence.
1.05, 1.1, 1.15, 1.2, ...
0.5
0.05
0.005
Noah already has $10.50, and he earns $3 each time he runs an errand for
his neighbor. Noah wants to know how many errands he needs to run to
have at least $30.*
what is the inequality?
Answer:
3e + 10.50 ≥ 30
Step-by-step explanation:
Fwam answered 142 questions correctly on his multiple choice science final that had
a total of 200 problems. What percentage of questions did Fwam answer correctly on
the final exam?
Answer:
71%
Step-by-step explanation:
Percentage Chart
X is what percent of 200?142 is71% of 200143.26 is71.63% of 200144.64 is72.32% of 200146.02 is73.01% of 200
4(x-3)=20
GUYSS I NEED HELP
Step-by-step explanation:
simplify the bracket
4x-12=20
4x=20+12
4x=32
X=8
please help i’m sorry!!! 15 points again!
Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
What is the solution set for −4x − 10 ≤ 2?
A x ≤ −3
B x ≥ −3
C x ≤ 2
D x ≥ 2
helppppppppppppppppppppp
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.
Answer:
300 bags of dog food
Step-by-step explanation:
4b + 2b + b + b = 600
(dog) + (cat) + (bird) + (hamster) = 600
8b = 600
b = 75
Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.
please help!!!!! 15 points!!!!
Answer:
the answer is B
Step-by-step explanation: hope this helps :)
Find the length of C
HELP ASAP PLZ
Answer:
c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)
a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.
Answer:
True
Step-by-step explanation:
[tex]x^{2} -6x=9[/tex]
subtract [tex]9[/tex] from both sides
[tex]x^{2} -6x-9[/tex]
plz mark me brainliest. ;)
20. Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6)
Parallel
Perpendicular
Neither
Please help fast must be turned in in 3 hours!
Answer:
Parallel
Step-by-step explanation:
QR and ST both parallel to y axis.
The lines are parallel each other. Therefore, option A is the correct answer.
The given coordinate points are Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6).
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
After plotting the given points on the graph, we can see that the lines are parallel to each other.
The lines are parallel each other. Therefore, option A is the correct answer.
To learn more about the graph visit:
brainly.com/question/14375099.
#SPJ2
Brenda wants to attach a string of beads along the circular bottom edge of the lampshade shown
below. The diameter of the bottom of the lampshade is 16 centimeters.
About how many centimeters long should Brenda make the string of beads?
Answer:
its 50
Step-by-step explanation:
The sinusoidal function f(x)=33sin(7x−π12)+33 models the height, in centimeters, that a valve stem of the a tire is above ground x seconds after the tire begins to rotate.
How long does it take the valve stem to complete one revolution?
Answer:
0.90 seconds
Step-by-step explanation:
We will see that one complete revolution takes (2π/7) seconds.
How long does it take the valve stem to complete one revolution?Here we have the function:
f(x) = 33sin(7x−π/12) + 33
The time needed to do a full revolution is given by the period of the function.
Remember that:
sin(x) = sin(x + 2π).
Then:
sin(7x−π/12) = sin(7*(x + T) −π/12)
Then we must have:
2π = 7*T
Where T is the period.
Solving for T, we have:
2π/7 = T
This means that one complete revolution takes (2π/7) seconds.
If you want to learn more about sine functions, you can read:
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Solve for x. If anybody can, can someone help me out with this one? Thank you!!
Answer:
x=3
Step-by-step explanation:
Need help on this... First one to answer this correctly, I will give you a BRANLIST
Answer:
wheres the problem?
Step-by-step explanation:
