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Ad libitum [116K]
3 years ago
6

If the surface areas of two spheres are in ratio 16:9, then their volumes will be in the ratio​

Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Answer:

64 : 27

Step-by-step explanation:

If linear ratio is a : b , then

area ratio = a² : b²

volume ratio = a³ : b³

Given area ratio = 16 : 9 , then

linear ratio = \sqrt{16} : \sqrt{9} = 4 : 3

volume ratio = 4³ : 3³ = 64 : 27

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coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}

Where

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therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
3 years ago
Find the inverse cotangent of the square root of 3 without a calculator
elena-14-01-66 [18.8K]
Let's use our trigonometric skills to solve for this one:


7 0
3 years ago
12 2/5 x 3 1/6 pls help me
Maurinko [17]
1. Turn improper
12 \frac{2}{5}  =  \frac{62}{5}
3 \frac{1}{6}  =  \frac{19}{6}
2. set up the problem
\frac{62}{5}  \times  \frac{19}{6}
now multiple across and simplefy
3 0
3 years ago
Jim’s Gym had income of $20,350 last month.The total increased by $2,000 this month.What was the percent increase to the nearest
frozen [14]

Answer:

10%

Step-by-step explanation:

To find the percentage, ask yourself, how much is 2000 of the original value which is 20350.   This can be solved by the following equation.

2000/20350=

The answer is approximately 0.09828.   Then, convert this to a percent. 9.828%. Then, round it to the nearest percent. The answer is 10%

6 0
3 years ago
Pythagorean theorem help plz i really need help plz i dont really get it cuz i forgot
muminat
7.62 a^2+b^2=c^2 have a great day
7 0
3 years ago
Read 2 more answers
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