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Zanzabum
3 years ago
11

What is the volume of the cone? Use 3.14 to approximate Pi and round your answer to the nearest 10th enter your answer in the bo

x
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0
V= 1/3\pir^{2}h
V= 3.14 * (4*4) * 10 /3
4*4 = 16*10=160
160*3.14 = 503.4
503.4/3 = 167.46666 continued

rounded to the nearest tenth, your answer would be:
167.5 cm^{3}
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91403 divided by 21. Show work
My name is Ann [436]

Answer:

The given Divisor = 21 and Dividend = 91403

43522191403847463110105534211

The Quotient is 4352 and the Remainder is 11

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3 years ago
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A boat propeller spins 1044 times in 3 MINUTES. Find the rate in revolutions per SECOND.
rodikova [14]

Answer:

The answer is 5.8 times a second

Step-by-step explanation:

Divide 1044 by 180 (The number of seconds in 3 minutes)

8 0
3 years ago
What is 7/8 in decimal
Pachacha [2.7K]
To get a decimal form of a fraction, divide the numerator by the denominator.
7/8 = 0.875
6 0
3 years ago
6. Benny earns $12.00 per hour as a lifeguard. He earns a bonus of $75.00
Vesna [10]

Answer:

75+12h ≥ 399

He must work at least 27 hours

Step-by-step explanation:

How much does benny earn

He makes 75 for the course plus 12 dollars an hour

75+ 12h

This must be at least 399

75+12h ≥ 399

Subtract 75 from each side

75-75+12h ≥ 399-75

12h ≥ 324

Divide each side by 12

12h/12 ≥ 324/12

h ≥ 27

He must work at least 27 hour

3 0
3 years ago
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The quadratic function g(x) = a.ca + bx+c has the
Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

f(x)=ax^2+bx+c

Here we know that the leading coefficient a=1 so we reduce our equation to:

g(x)=x^2+bx+c

The roots are those values at which g(x)=0

So:

x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\  49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\

Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\  49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0

So we have:

(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}

Finding c from (1):

33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0
3 years ago
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