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3 years ago

HELP ASAP

Mathematics

2 answers:

garri49 [273]3 years ago

8 0

Answer:

a 75%

Step-by-step explanation:

375/500=0.75

White raven [17]3 years ago

6 0

Answer:

$a .75 \% \\ \\ a.400 \\ \\ b.no$

Step-by-step explanation:

$1...... \: let \: the \: percentage \: be \: x \% \\ then \: x \% \: of \: 500 = 375 \\ (\frac{x}{100} )500 = 375 \\ 5x = 375 \\ x = \frac{375}{5} \\ \boxed{ x = 75\%} \\ \\ 2.....80\% \: of \: 500 = ( \frac{80}{100} )500 \\ 80\% \: of \: 500 = 80 \times 5 \\ \boxed{ 80\% \: of \: 500 = 40 0}\\ \\ 3.....60\% \: of \: 200 = ( \frac{60}{100} )200 \\ 60\% \: of \: 200 = 60 \times 2\\ \boxed{ 60\% \: of \: 200 = 120} \\ ........his \: statement \: was \: reasonable \: wrong$

♨Rage♨

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ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

Taking the value of π = 3.14.

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = $2\frac{5}{8}=\frac{21}{8}\ inches.$

Thus radius (r) = Diameter ÷ 2 = $\frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.$

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

$Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}$

$Volume=3.14\times 1.31\times 1.31\times 2$

$Volume=10.78\ inches^3.$

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = $2\frac{7}{8} =\frac{23}{8} \ inches.$

Thus radius (r) = Diameter ÷ 2 $=\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.$

$Volume = \frac{4}{3} \pi r^3$

$Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}$

$Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44$

$Volume=12.47\ inches^3.$

The volume of one scoop of ice cream = 12.47 inches³.

So, as the volume of scoop of ice cream is more than the volume of cone.

Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.

Therefore, no the cone will not hold all of the ice cream.

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3 years ago

Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Alexeev081 [22]

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540 distribute to 180 to (n - 2)

180n - 360 = 540 add 360 to both sides

180n = 900 divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

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