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Noah and Lin are marketing 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?
if h=3, then r=
if r=2, then h=
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a
length of 1.5 ft. How many of these boxes can this truck hold?
Answer:
284.4
Step-by-step explanation:
Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome
284 boxes in the shape of the cubes can be fitted in the truck.
If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.
Dimensions of the truck given in the question,
Length = 10 feet, width = 12 feet and height = 8 feetSince, volume of a cuboid (shape of a truck) is given by the expression,
Volume = Length × Width × Height
Therefore, volume of the truck = 10 × 12 × 8
= 960 feet³
Volume of a cube is given by the expression,
Volume = (side)³
Therefore, volume of the cube with side length 1.5 feet will be,
Volume of a cube = (1.5)³
= 3.375 cubic feet
Let the number of cubes fitted in the truck = x
Therefore, volume of 'x' cubes = (3.375x) feet³
Since, volume of the truck = Volume of the cubes fitted
3.375x = 960
x = [tex]\frac{960}{3.375}[/tex]
x = 284.44
x ≈ 284
Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.
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Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
plz will mark as brainliest
Answer:
30
Step-by-step explanation:
1/2 x (a+b) x h = area
1/2 x ( 40 + x ) x 50 = 1750
1/2 (40 + x )= 1750/50
20 + 1/2x = 35
1/2 x = 35 - 20
x = 15 x 2
= 30
I hope this is right :)
YOU AINT GOT THE ANSWERS MAN IMAO
A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?
if a function is y = x - 8 , then what is the value of the function when x = 10
Answer:
2
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
Multiply the fraction or 1/3 in the expression.[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
Multiply the whole Inequality by 3 to get rid of the denominator.[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
Solve the Inequality for v-term by making v as the subject.[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
Please Help Me, I will give the person who answers the best brainliest.
What is the equation of a line that contains the points (5, 0) and (5, −2)?
x = 5
x = 0
y = 0
y = 5
what is the slope and y-intercept of y=2x-3
Answer:
slope=2x, y-intercept=-3
Step-by-step explanation:
When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
in triangle ABC with vertices A(4,5),B(-2,1) and C(0,3),E and F are midpoints of sides AB and AC resp . then, find coordinates of E and F
Answer:
The answer is
E=(1, 3)
F=(2,4)
Step-by-step explanation:
When E is midpoint of AB
Then
[tex]e = ( \frac{4 + ( - 2)}{2} . \frac{5 + 1}{2} ) \\ = (1.3)[/tex]
By this way we can find F
[tex]f = ( \frac{4 + 0}{2} . \frac{5 + 3}{2} ) \\ = (2.4)[/tex]
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
Solve for w
-w + 181 = 128
w = ____
A clerk at a local camera shop earns a 5% commission on all sales. How much commission does the clerk earn on a $500 sale?
Answer:
she earns $25.00 commission
Step-by-step explanation:
.05×500=25
the volume of a rectangular prism is 36x6y8. the length of the prism is 4x3y5 and the width of the prism is 3xy2. what is the height of the prism?
Answer:
need the points sorry
Step-by-step explanation:
jesus
20.8 = 4( z+1.1)
What is Z ?
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
Have you ever devised a way to solve a problem? How?
Answer:
What kind of problem?
Step-by-step explanation:
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
A number is 12 more than the other. Find the numbers if their sum is 48
Answer:
let one number be x and the other be x + 12
sum = 48
x + x + 12 = 48
2x + 12 = 48
2x = 48 - 12
2x = 36
x = 36 by 2
x = 18
therefore x = 18 and x+12= 18+12=30
so the answer is 18 and 30
Have a good day! ^^
Step-by-step explanation:
10 + what equals -6.2
PLEASE HELP ME ASAP!!!!!!!!!!!!;))
Solve the simultaneous equations
5x + 3y = 41
2x + 3y = 20
Do not use trial and improvement
The solution to the system of equation is (7, 2)
Using the simultaneous equation:
5x + 3y = 41
2x + 3y = 20
using elimination method
Subtract equation 1 from 2 to have:
5x - 2x = 41 - 20
3x = 21
x = 21/3
x = 7
Substitute x = 7 into equation 1 to get y
5x + 3y = 41
5(7) + 3y = 41
35 + 3y = 41
5y = 41 - 35
3y = 6
y = 6/3
y = 2
Hence the solution to the system of equation is (7, 2)
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x is an integer and satisfies the following inequality. 5(x+4)<32 What is the maximum possible value for x?
a.6
b.3
c.2
d.0
Answer:
c.2
Step-by-step explanation:
5(x+4)<32
5(2+4)<32
10+20<30
y= -3x + 1 and y= x - 3
Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
solve for x!!!!!!!!!!!
Answer:
22.65728
Step-by-step explanation:
29*tan(38 degrees) = 22.65728
MORE KHAN ACADEMY! HELP ME PLEASE!
6/3+(-1/6)=?
Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]
Answer:
If these are fractions the answer is 1 5/6
If they are not fractions the answer is 1.83
the distance between the park is 1.7 meters how many meters is this?
Answer:
1.7 meters?
Step-by-step explanation:
Please help me with this first answer gets brainliest
Answer:
multiply both sides by 17
your supposed to do the opposite of the symbol given
Step-by-step explanation:
Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
I NEED HELP ASAP Identify the property used:
144x12=12x144
Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION
Step-by-step explanation: the commutative property is when the numbers are basically swapped
Gl on your assignment :)
Someone plz help me I will give brainliest
Answer:
2.25x2+2x1.00+1.50=8, 10-8 =$2.00
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
If yz = 0.7, what is the measure of α to the nearest degree?
Answer:
.9
Step-by-step explanation: