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3 years ago

A sphere has a volume of V=1296in^3. Find its surface area

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

574.85 in² (approx.)

Step-by-step explanation:

The sphere's volume equation is V = (4/3) * π * r³, which we can set equal to the given volume of 1296 in³:

1296 = (4/3) * π * r³

Now solve for r to get r ≈ 6.7635 in.

The surface area of a sphere is SA = 4 * π * r². Now substitute r into that equation to get:

SA = 4 * π * (6.7635)² ≈ 574.85 in²

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In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the po

sukhopar [10]

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

$\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m$

Distance between Poles is 20.71 m

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2 years ago

Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the

Anna71 [15]

Answer:

State A was the <u>12th</u> state to enter the Union. State B was the <u>11th</u> state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)}$

$x = \frac{-1 \pm 23}{2}$

$x_1 = \frac{-1 + 23}{2}$

$x_1 = 11$

$x_2 = \frac{-1 - 23}{2}$

$x_2 = -12$

The negative solution has no sense in the context of our problem, then the solution is x = 11.

5 0

3 years ago

PLEASE HELP! EXPLAIN HOW YOU GOT THE ANSWER AND I WILL MARK BRAINLIEST!

kow [346]

3 prefer pop:4 prefer rock
3/4 prefer pop
(3/4)of 14=0.75*14=10.5 people/14people
around 11 people would prefer pop out of 14

7 0

3 years ago

The value of y when x=5

Molodets [167]

D. 35 is the answer. Since we know that 14=2k based on the knowledge given in the first part of the equation, we can solve for K. We learn that K=7. Then, we can substitute K into the second equation: y=(7)(5) which is 35.

8 0

2 years ago

Jake rate 6 dollers per a week or no

Liono4ka [1.6K]

Answer:

A. 6 dollars per week.

Step-by-step explanation:

Because if you look carefully in the graph, you would see that the dot on 1 week is above 5 dollars so therefore, it would be 6 dollars. To check, look at the next dot and see. You will see that the dot above 2 weeks is in the middle of 10 and 15 dollars.

Hope I helped.

5 0

3 years ago