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3 years ago

13

Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches.

What is the ratio of the volume of Pot A
to the volume of Pot B?
15:3
45:9
125:1
5:1

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

C. 125 : 1

Step-by-step explanation:

V(A) : V(B) = [r(a)]³ : [r(b)]³ = 15³ : 3³ = (5*3)³: 3³ = (5³*3³) : 3³ = 5³ : 1 = 125:1

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A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant

Serjik [45]

We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)

Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft

Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>

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3 years ago

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AlexFokin [52]

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3 years ago

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

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c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

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Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

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3 years ago

Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Roun

Masteriza [31]

Answer:

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Step-by-step explanation:

Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.

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4 0

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What is the value of n?

qaws [65]

Answer:

your answer will be<u> A.85°</u>

Step-by-step explanation:

hope it helps you

have a great day!!!

4 0

3 years ago