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aksik [14]
3 years ago
15

The height of a soft drink is about 12 centimeters and the diameter is about 6 centimeters find the surface area of the can

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

if the diameter of the can is 6 cm, then its radius is half that, or 3 cm.

\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=3\\ h=12 \end{cases}\implies SA=2\pi (3)(12+3) \\\\\\ SA=6\pi (15)\implies SA=90\pi \implies SA\approx 282.74

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Step-by-step explanation:

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8 0
2 years ago
First determine the missing angle for triangle 1 and triangle 2. Then apply the angle-angle criterion to determine if the two tr
barxatty [35]

Answer:

  • Triangle 1 – ∠1 = 25°, ∠2 = 115° Triangle 2 – ∠1 = 25°, ∠3 = 40°
  • Triangle 1 – ∠1 = 5°, ∠2 = 15° Triangle 2 – ∠2 = 15°, ∠3 = 160°

Step-by-step explanation:

You can save yourself some trouble if you realize that one of the angles in one pair must match one of the angles in the other pair.

This observation eliminates the first two choices.

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Going further, the triangles will be similar if the dissimilar angles together with one of the similar angles totals 180°.

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Triangle 1 – ∠1 = 50°, ∠2 = 30°

Triangle 2 – ∠2 = 20°, ∠3 = 100°  . . . . . no angles match

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Triangle 1 – ∠1 = 60°, ∠2 = 20°

Triangle 2 – ∠1 = 40°, ∠3 = 100°  . . . . . no angles match

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Triangle 1 – ∠1 = 25°, ∠2 = 115°

Triangle 2 – ∠1 = 25°, ∠3 = 40° . . . . 25° angles match; 25+40+115 = 180

These triangles are similar.

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Triangle 1 – ∠1 = 5°, ∠2 = 15°

Triangle 2 – ∠2 = 15°, ∠3 = 160° . . . . 15° angles match; 15+5+160 = 180

These triangles are similar.

7 0
3 years ago
explain step by step how to solve. please point out any similarities in the steps used for each question
Mamont248 [21]
#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29


#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16


#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
6 0
3 years ago
Eva draws a line that includes the points (2,0) and (-2,2). Which function gives all the
Ainat [17]
If you use photomath itll help you
3 0
3 years ago
Simplify. This algebraic expression y-3/3+12
Ksenya-84 [330]

Answer:

y-11

Step-by-step explanation:

First you divide 3 by 3 to get one. Then you add 12 to -1 to get 11. Then you will have y-11. PEMDAS saves lives.

7 0
3 years ago
Read 2 more answers
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