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3 years ago

What are the measures of ∠a, ∠b, ∠c and ∠d? Explain how to find each of the angles. measure

Mathematics

1 answer:

Alex787 [66]3 years ago

7 0

Answer:

a=90° (given)

b=180°-90°-59° (angles on a straight line)

c=180°-59° (angles on a straight line)

d=59° (vertically opposite angles)

Step-by-step explanation:

I said the answer already

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

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

The area of circle is 64 square meters.What is the radius?

Mrac [35]

Answer:

radius=8

Step-by-step explanation:

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Which of the following modifications to the list of assets and liabilities below would result in an increase in net worth?

Nesterboy [21]

A and d because money is coming in

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4 years ago

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If a pair of shoes has an original price of 80 and they are on sale for 48, what is the percent of discount?

defon

60% is the correct answer.

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4 years ago

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-4÷[1/3(7-1/2)]+3 (pls show your work)

jek_recluse [69]

Step-by-step explanation:

= -4 ÷ ( 1/3 × (7 - 1/2) ) + 3

= -4 ÷ ( 1/3 × 13/2 ) + 3

= -4 ÷ 13/6 + 3

= -4 × 6/13 + 3

= -24/13 + 3

= -24/13 + 39/13

= 15/13

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