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solong [7]
3 years ago
11

Which of the expressions (on the photo document I inserted) together represent all solutions to the following equation?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

x =15 + 30n

Step-by-step explanation:

8cos(12x)+4=-4

Subtract 4 from each side

8cos(12x)+4-4=-4-4

8cos(12x)=-8

Divide by 8

8/8cos(12x)=-8/8

cos(12x) = -1

Take the arccos on each side

arccos(cos(12x)) = arccos(-1)

12x = 180 degrees  

But we can go around in a circle of 360 and get the same result

12 x = 180+360n  where n is an integer

Divide each side by 12

x = 180/12 +360n/12

x =15 + 30n

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Step-by-step explanation:

sin 0 = opposite ÷ hypothenus

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3 years ago
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Answer:

328,268 mm^3

Step-by-step explanation:

The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:

V=\pi r^2 h

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In this problem we have:

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And therefore, the volume of the can is:

V=\pi (33)^2 (96)=328,268 mm^3

7 0
2 years ago
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Answer:

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prisoha [69]

Answer:

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Step-by-step explanation:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

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