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attashe74 [19]
3 years ago
14

Can you plz help me answer number 17 and answer part a and b plz explain the in a 5th grade level plz

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

17a) Joanne is not correct because 8+8+8+5=29 cups of punch

17b) it will fit because 29 cups=7.25 quarts and 8 1-quart containers will be more than enough

Step-by-step explanation:

17a) REMEMBER TO COVERT THE QUARTS,GALLONS,and pints to cups

4 pints=8 cups

5 cups=5 cups

1/2 gallon=8 cups

2 quarts=8 cups

add the "cup" measurements together

17b) convert 29 cups into quarts

29 cups=7.25 quarts

7.25<8

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- First find the area of the whole circle

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

1/2 absinC

Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

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