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4 years ago

Find the volume of a cylinder with a diameter of 10in and a height of 20in

1 answer:

5 0

Volume of cylinder = πr²h

Radius = Diameter ÷ 2
Radius = 10÷ 2
Radius = 5 in

Volume of the cylinder =π x 5² x20
Volume of the cylinder = 1570.80 in³ (nearest hundredth)

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Volume = 1570.80 in³ (Answer C)
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How to factor 8^2+4−12

tatuchka [14]

Answer: 4 ( x + 1 ) ( 2 x − 3 )

8 x 2 − 4 x − 12 8x2-4x-12 Factor 4 4 out of 8 x 2 − 4 x − 12 8x2-4x-12 .

5 0

3 years ago

Read 2 more answers

What is the period for the function y = -4 cos (5x +3)? (4.3)

BlackZzzverrR [31]

The periodicity of function is $\frac{2 \pi}{5}$

Solution:

Given that we have to find the period of function

Given function is:

$y = -4 + cos(5x+3)$

Use the below formula:

$\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}$

Thus,

$Peridocity\ of\ cos(5x + 3) - 4 = \frac{\text{periodicity of cos(x)}}{5}$

Now find the periodicity of cos(x)

We know that,

periodicity of cos(x) = $2 \pi$

Therefore,

$Peridocity\ of\ cos(5x + 3) - 4 = \frac{2 \pi}{5}$

Thus the periodicity of function is $\frac{2 \pi}{5}$

4 0

3 years ago

In ΔEFG, the measure of ∠G=90°, the measure of ∠F=38°, and FG = 6.7 feet. Find the length of EF to the nearest tenth of a foot.

Verizon [17]

Answer:

8.5

Step-by-step explanation:

4 0

3 years ago

Find the value of x. Picture below

Wittaler [7]

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given $(2x)^o$ and $(x+15)^o$ . Sum of these two angles is 90°.

So we can write the equation as,

$(2x)+(x+15) = 90$

We have to remove the parenthesis now.

$2x+x+15 = 90$

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

$3x+15 = 90$

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

$3x+15-15 = 90-15$

$3x= 90-15$

$3x= 75$

Now to get x, we have to move 3 to the other side, by dividing it to both sides.

$(3x)/3 = (75)/3$

$x = (75)/3$

$x = 25$

We have got the required value of x.

The solution is x= 25.

3 0

4 years ago

A Springer Spaniel weighs 20 kilograms 490grams. A Cocker Spaniel weighs 7,590 grams less than a Springer Spaniel. A Newfoundlan

egoroff_w [7]

It is important that the units of measurement for the masses will be expressed in one unit only. For the purpose of illustration in this problem, we express the masses in kilograms. Hence, the mass of Springer Spaniel is equal to 20.49 kg. With this concept, we determine the mass of Cocker Spaniel.

Mass of Cocker Spaniel = 20.49 kg - 7.59 kg = 12.9 kg

From this calculated mass, we determine the mass of the Newfoundland,

Mass of Newfoundland = 12.9 kg + 52.656 kg = 65.556 kg

The difference of the weights of Newfoundland and Springer Spaniel,
D = 65.556 kg - 20.49 kg = 45.066 kg

ANSWER: 45.066 kg

6 0

3 years ago