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2 years ago

14

Find the radius of a cylinder if its volume is 1539π cm3 and height is 19 cm.

1 answer:

Kipish [7]2 years ago

3 0

Hope THIS works if not ask a tutors

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Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

Hey! please help i’ll give brainliest!

Eduardwww [97]

Answer:

B

Step-by-step explanation:

Hope this helps!!!

5 0

3 years ago

Someone plsss help me!!!!!

MariettaO [177]

Answer:

x = 2

Step-by-step explanation:

the formula for this problem is

Area = 1/2 base x Height

step 1) plug in what we know

5 = 1/2 base(5)

step 2) switch sides

1/2 base x 5 = 5

step 3) divide both sides by 1/2 x 5

$\frac{1/2 base( 5)}{1/2(5)}$ = $\frac{5}{1/2(5)}$

step 4) Simplify

$\frac{1/2 base (5)}{1/2 (5)}: b$

step 5) Simplify

$\frac{5}{1/2(5)}: 2$

step 6) now you have gotten the answer<u> x = 2</u>

6 0

3 years ago

In a certain study,the chance of encountering a car crash on the road is staged as 22%. Express the indicated degree of likeliho

marissa [1.9K]

Wouldn't it be .22 probablilty value?

8 0

3 years ago

-4-(-3) =<br> -1<br> K<br> 1<br> t)<br> Rewatch<br> Submit

Alex_Xolod [135]

Answer:

-1

Step-by-step explanation:

-4-(-3) ---> -4+3 = -1

8 0

3 years ago