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3 years ago

Help!!!!! Find the volume of the cylinder

Mathematics

1 answer:

Mazyrski [523]3 years ago

7 0

Answer:

V= 452.16

Step-by-step explanation:

V= πr^2h

V= π6^2(4)

V= π x 36 x 4

V= π x 144

π= 3.14

V= 3.14 x 144

V= 452.16

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Find the values of k so that each remainder is three. 10. (x^2+ 5x + 7) = (x + k)

Goryan [66]

Answer:

$k=1\text{ or } k=4$

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

$(x^2+5x+7)\div(x+k)$

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

$(-k)^2+5(-k)+7=3$

Simplify:

$k^2-5k+7=3$

Solve for k. Subtract 3 from both sides:

$k^2-5k+4=0$

Factor:

$(k-1)(k-4)=0$

Zero Product Property:

$k-1=0\text{ or } k-4=0$

Solve:

$k=1\text{ or } k=4$

So, either of the two expressions:

$(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)$

Will yield 3 as the remainder.

5 0

3 years ago

Steven put together 981 pieces of a puzzle. About how many pieces did he put together? Round to the nearest thousand. Use what y

Colt1911 [192]

About 1,000 puzzle pieces

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2 years ago

2x° + 14° 60° X= degrees.

pickupchik [31]

2x+14=60(vertical)
2x=46
x=23

4 0

3 years ago

a student used his place value chart to show a number after the teacher instructed him to divide his number by 100 the chart sho

Anna35 [415]

A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for this situation is the value of the number before it was divided by 100.
To get the value, simply multiply the result by 100
=> 28.003 x 100
=> 2800.3
by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.
See attached Image.

8 0

3 years ago

Which equation represents a line with a slope of 13 and a y-intercept of -1?

Bas_tet [7]

Answer:

y = 13x - 1

Step-by-step explanation:

y = 13 x - 1

Slope y intercept

8 0

2 years ago

Read 2 more answers