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sergij07 [2.7K]
2 years ago
11

Find the Volume of a cylinder with a diameter of 16 inches and a height of 9 inches

Mathematics
2 answers:
anastassius [24]2 years ago
7 0

Answer:

It's D

Step-by-step explanation:

Stella [2.4K]2 years ago
5 0

Answer:

d = 16 in    then   r = 8 in

V = h * π * r²

V= 9in * π * (8 in)²

V = 1809.55 in³

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Please help.. 10 points
Leokris [45]

Answer:

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 = \frac{39}{z}

z sin 45 = 39

         z  = \frac{39}{sin45}

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 = \frac{39}{adj}

y tan 60 = 39

           y = \frac{39}{tan60}

           y = 22.5166605

Use Pythagoras's Theorem to find x.

23^{2} + 55^{2} = x^{2}\\\sqrt{23^{2} + 55^{2}}  = x\\59.61543424=x

3 0
2 years ago
a rectangular table top has a length of 4 3/4 ft and an area of 11 7/8 square feet what is the width of the table top
mina [271]
4¾=19/4 and 11⅞=95/8.
Width=area/length=95/8÷19/4=95/8×4/19=5/2=2½ft.
8 0
3 years ago
In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 25
Anastaziya [24]

Answer:

16 faults

Step-by-step explanation:

<u><em>The correct question is</em></u>

In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 2/5 of all her first serves. If 1/3 of her first serves were returned, how many of the tennis player's first serves were faults?

Let

x -----> the number of all her first servers

y ----> the number of first services returned

z ---> the number of first services faults

we know that

The number of aces plus the number of returned plus the number of faults must be equal to the number of all her first services

so

x=24+y+z

step 1

Find out the number of all her first servers

we have that

24=\frac{2}{5}x

Solve for x

x=24(5)/2\\x=60\ first\ services

step 2

Find out the number of first services returned

y=\frac{1}{3}x

substitute the value of x

y=\frac{1}{3}(60)=20\ returned

step 3

Find out the number of first services faults

x=24+y+z

we have

x=60\\y=20

substitute and solve for z

60=24+20+z

60=44+z

z=16\ faults

6 0
2 years ago
Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (
Feliz [49]

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: (x + 7)^2 + (y - 10)^2 = 13^2

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

<u>Option A (5,12)</u>

When x=5, y=12

(5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2

<u>Option B (-7,-3)</u>

When x=-7, y=-3

(-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2

<u>Option C (-6,-10)</u>

When x=-6, y=-10

(-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2

<u>Option D (6,23)</u>

When x=6, y=23

(6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

4 0
2 years ago
Belinda uses drink mix to make a 2 quart pitcher of lemonade. She has a can of drink mix that makes 3 gallons. How many pitchers
IRINA_888 [86]
1 gal = 4 quarts


3 gal = 4 * 3 = 12 quarts


12 / 2 = 6 pitchers
7 0
3 years ago
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