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3 years ago

Find the radius of a cone with volume 199.23 cm3 and height 9 cm.

Mathematics

1 answer:

Stolb23 [73]3 years ago

5 0

The radius is 4.6 centimeters.

Glad I could help!!!

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Last month , Luke and Stefen sold candy to raise money for their debate team . Stefen sold 1/5 as much candy as Luke did . If Lu

Natalija [7]

Answer:

3/20

Step-by-step explanation:

stefan sell 1/5 × 3/4 = 3/20 boxes of candy

5 0

2 years ago

-8x + 2x – 16 < -5x + 7x

lana [24]

Answer:

x > 2

Step-by-step explanation:

Given

- 8x + 2x - 16 < - 5x + 7x ← simplify both sides

- 6x - 16 < 2x ( subtract 2x from both sides )

- 8x - 16 < 0 ( add 16 to both sides )

- 8x < - 16 ( divide both sides by - 8 )

Remembering to reverse the symbol as a consequence of dividing by a negative value.

x > 2

5 0

2 years ago

trasher [3.6K]

$\displaystyle\bf\\Explanations:\\\\The~similarity~ratio~of~two~similar~cones=k\\\\k=is~the~ratio~between~2~corresponding~lengths\\\\k=\frac{R_1}{R_2}=\frac{h_1}{h_2}\\\\The~ratio~between~2~corresponding~areas~of~similar~cones=k^2\\\\\frac{Area~1}{Area~2}=k^2\\\\The~ratio~between~the~volumes~of~the~2~similar~cones=k^3\\\\\frac{Volume~1}{Volume~2}=k^3$

$\displaystyle\bf\\Solving:\\\\Volume1=108~m^3\\\\Volume2=4m^3\\\\k^3=\frac{108}{4}\\\\k^3=27~~\Big|\sqrt{~}\\\\k=\sqrt[\b3]{27}\\\\k=3\\\\Area1=54~m^2\\\\\frac{Area~1}{Area~2}=k^2\\\\\frac{54}{Area~2}=3^2\\\\\frac{54}{Area~2}=9\\\\Area2=\frac{54}{9}\\\\\boxed{\bf Area2=6 m^2}$

4 0

2 years ago

What is the measure of X PLZ HELP - thank you and much love ;)

never [62]

Answer:

x = 17

Step-by-step explanation:

∠6 and ∠7 are vertically opposite angles and thus are congruent, hence

4x = 2x + 34 ( subtract 2x from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

8 0

3 years ago

The sum of two numbers is 26. One number is<br> 9 more than the other one. Find the numbers.

rusak2 [61]

Answer:

Step-by-step explanation:

x+y=26

x-y=9

by process of elemination

2x=35

x=17.5

17.5+y=26

y=8.5

3 0

2 years ago