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3 years ago

14

Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to mat

h classes, 3 students do karate and piano, 5 go to math class and karate, and 3 do non. How many students do all 3

2 answers:

Rashid [163]3 years ago

6 0

There are twenty four students

Andrews [41]3 years ago

4 0

There are twenty four students that do all

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17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find

Pavlova-9 [17]

Answer:

$r = 3.74cm$

Step-by-step explanation:

Given

Hemisphere

$Radius = 7cm$

Cone

$Height = 49m$

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

$V_1 = \frac{2}{3}\pi r^3$

Substitute 7 for r

$V_1 = \frac{2}{3}\pi * 7^3$

$V_1 = \frac{2}{3}\pi * 343$

$V_1 = \frac{686}{3}\pi$

Volume (V2) of a cone is:

$V_2 = \frac{1}{3}\pi r^2h$

Because the lead is cast into a cone, then they have the same volume.

So, we have:

$\frac{686}{3}\pi = \frac{1}{3}\pi r^2h$

$686 = r^2h$

Substitute 49 for h

$686 = r^2 * 49$

Divide both sides by 49

$r^2 = \frac{686}{49}$

$r^2 = 14$

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3 years ago

What is the slope of the line that passes through the points (-8,-1) and (-8,11)?

lubasha [3.4K]

Answer: $\text{Slope}=\Large\boxed{Unde fined}$

Step-by-step explanation:

<u>Given information</u>

$(x_1,~y_1)=(-8,~-1)$

$(x_2,~y_2)=(-8,~11)$

<u>Given the formula for the slope</u>

$\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}$

<u>Substitute values into the formula</u>

$\text{Slope}=\dfrac{(11)-(-1)}{(-8)-(-8)}$

<u>Simplify the numerator and the denominator</u>

$\text{Slope}=\dfrac{11+1}{-8+8}$

$\text{Slope}=\dfrac{12}{0}$

<u />

<u>Simplify the fraction</u>

$\text{Since any number divided by 0 is impossible to find, therefore: }$

$\text{Slope}=\Large\boxed{Unde fined}$

Hope this helps!! :)

Please let me know if you have any questions

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