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Ivenika [448]
3 years ago
14

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 pi

cm^3 cubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3.14 for pi.
Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

9 cm

Step-by-step explanation:

Use the cone volume formula, V = \pir²\frac{h}{3}

Plug in the volume and radius, and solve for h, the height:

V = \pir²\frac{h}{3}

27\pi = \pi(3²)\frac{h}{3}

27\pi \\ = 9\pi\frac{h}{3}

3 = \frac{h}{3}

9 = h

So, the height of the cone is 9 cm

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TRI has vertices T(-3, 4), R(3, 4), and I(0,0). Is TRI scalene, isosceles, or equilateral?
KatRina [158]

Answer:

Isosceles

Step-by-step explanation:

Graph your triangle!

Then, do the distance formula. So from T to I is 5 units, R to I is 5 units, and T to R is 6 units. As two side lengths are congruent, the triangle is isosceles.

Hope this helps!


4 0
4 years ago
Graph the equation 3x+4y=36,
FrozenT [24]

Answer:

y=3/4x-9

Step-by-step explanation:

isolate the y

4y=3x-36

divide by 4 to get y by itself

y=3/4x-9

put this equation into a graphing calculator if you do not know how to graph on your own without it. good luck

7 0
3 years ago
Bruce's hourly wage increased from $12.00 to $13.00. What is the percent of increase?
Tanya [424]

2% i think hopefully it's right

5 0
3 years ago
A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for t
nadezda [96]

Answer:

f(x)=10x+30

Step-by-step explanation                                                                                                x=0=30   x= 1=40  x= 2=50  x= 3=60   x=4=70  x= 5=80   x=6=90  x= 7=100

4 0
4 years ago
The mean Algebra 2 test score is 81.5, with a standard deviation of 5.1. There are 130 students taking the course. Assuming a no
alexira [117]

Answer:

Step-by-step explanation:

Let x be the random variable representing the algebra test scores of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 81.5

σ = 5.1

the probability that a student scores below 76.4 is expressed as

P(x ≤ 76.4)

For x = 76.4

z = (76.4 - 81.5)/5.1 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.159

Therefore, the number of students that scored below 76.4 is

0.159 × 130 = 21 students

4 0
3 years ago
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