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3 years ago

What is the volume of the cylinder below

Mathematics

1 answer:

Alexxandr [17]3 years ago

6 0

A. 175π units

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Round Ed to the nearthest tenth and answer now question

Vikki [24]

Answer:

$y = 9.1$

Step-by-step explanation:

y can be found using the Law of sines as explained below:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Thus,

$\frac{x}{sin(X)} = \frac{y}{sin(Y)}$

$\frac{8}{sin(58)} = \frac{y}{sin(106)}$

$\frac{8}{0.848} = \frac{y}{0.961}$

Multiply both sides by 0.961 to solve for y

$\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961$

$\frac{8*0.961}{0.848} = y$

$\frac{8*0.961}{0.848}*0.961 = y$

$9.07 = y$

$y = 9.1$ (to the nearest tenth)

7 0

3 years ago

13/18 - 5/8 in simplest form Help!

sdas [7]

Answer:

7÷72

Step-by-step explanation:

First take lcm of the denominator

Then solve

(13*4-5*9)/73

52-45/72

7/72

6 0

3 years ago

Answer the question in the picture

nekit [7.7K]

Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

Now,

$\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}$

Divide through numerator and denominator by $\cos x\cos y$ to get

$\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2$

$\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}$

So we then have

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

$\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1$

Finally,

$\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73$

4 0

3 years ago

If x - 11 = 20, then x = ?

shtirl [24]

Answer:

Step-by-step explanation:

x-11=20

X=20+11

therefore X =31

PLS MARK ME AS THE BRAINLIEST

4 0

3 years ago

Oh my day 213 students went on a trip to the zoo all for buses were filled in fives in students have to travel on cars how many

allochka39001 [22]

Answer: 52 students

Step-by-step explanation:

5 students had to travel in cars so the total number that travelled by bus is:

= 213 - 5

= 208

The number of students on each of the 4 buses is:

= 208/4

= 52 students

8 0

3 years ago