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kramer
2 years ago
14

Find the measure of the missing angles

Mathematics
1 answer:
vovikov84 [41]2 years ago
4 0

Answer:

∠c = 33°

∠b= 147°

Step-by-step explanation:

A line is 180°, and ∠c + 147° make up a linear pair.

180 - 147 = 33°

∠c is 33°.

∠b and 147° angle are vertical angles, meaning that they have the same angle measure.

∠b = 147°.

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Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to
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\displaystyle \\ 
\text{We use the following equation:} \\  \\ 
 \frac{n}{2} = n - 38 \\  \\ 
We solve for n: \\  \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\  \\  
n = 2 \times  n - 2 \times 38 \\  \\ 
n = 2n - 76 \\  \\ 
2n - n = 76 \\  \\ 
\boxed{n = 76} \\  \\ 
\text{Verification: } \\  \\ 
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\frac{76}{2} = 76 - 38 \\  \\ 
\boxed{38 = 38  ~~~ Correct }



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These are so easy, you won't believe it !

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3 years ago
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

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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}

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r = \sqrt{14

r = 3.74cm

<em>Hence, the radius of the cone is 3.74cm</em>

5 0
3 years ago
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