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olchik [2.2K]
3 years ago
9

If a cone has a volume of 60pi cubic meters then what is the radius, height, and diameter

Mathematics
2 answers:
algol [13]3 years ago
8 0

Answer:

60pi = ⅓ × pi × r² × h

180 = r²h

Assuming r and h are whole numbers,

r = 3 m , h = 180/3² = 20 m

Diameter = 6 m

Or,

r = 6 m, h = 180/6² = 5 m

Diameter = 12 m

ss7ja [257]3 years ago
7 0

Answer:

60pi = ⅓ × pi × r² × h

180 = r²h

Assuming r and h are whole numbers,

r = 3 m , h = 180/3² = 20 m

Diameter = 6 m

Or,

r = 6 m, h = 180/6² = 5 m

Diameter = 12 m

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Anyone know what the answer is for this
Anika [276]

Answer:

x^9

Step-by-step explanation:

If we have x^2 * x^3 we have (x * x) * (x * x * x) = x * x * x * x * x = x^5 which demonstrates that x^a * x^b = x^(a+b), 4 + 5 = 9

6 0
2 years ago
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Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh
Sergeu [11.5K]

Answer: 15/91 which is choice B

=================================================================

There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

--------------------

Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.

5 0
3 years ago
Read 2 more answers
Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12
insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation  h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

-16t^2+ 160t + 120=0

Applying quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where, a=-16, b=160 and c=120

x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}

x=\frac{-160\pm\sqrt{33280}}{-32}

x=\frac{-160\pm 182.42}{-32}

x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}

x=−0.70,10.70

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0
3 years ago
Among 9 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the pro
seraphim [82]

Answer:

0.4444

Step-by-step explanation:

Use the following property to ease the calculation:

P(At least one)=1-P(None)

Total number of electrical components: 9

Number that does not function well :1

Number that functions well : 8

We have ^8C_4=70 ways to to choose 4 good components from 8.

We have ^9C_4=126 ways to choose 4 components from a total of 9.

If all function properly then none is bad, we ^1C_0=1 way to do this.

P(At least one)=1-\frac{^8C_4*^1C_0}{^9C_4}

P(At least one)=1-\frac{70*1}{126}

P(At least one)=0.4444

4 0
3 years ago
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In the 2004 Summer Olympics, Marie Helene Premont won the silver medal in the women's mountain bike race. She completed the 31.3
Alex73 [517]
I think
A. convert the time to seconds, so all the time are 7070sec and the total course to meter.
so 31300meter
Vector = TotalCourse÷total time
V=31300/7070=4.427157m/s
convert it to km/h so 4.427157×36÷10=
15.9377km/h
B. 45÷15.9377=2.823Hour
it means that around 2 Hour 48Minutes more.
i think the teacher need to simplify it
3 0
3 years ago
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