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makvit [3.9K]
3 years ago
6

Use the diagrams below to derive the formula for the volume of a hemisphere.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

2/3 \pir²

Step-by-step explanation:

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Please help me out :)
arlik [135]

Answer:

\frac{\sqrt{17} }{7}

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sinx = \sqrt{1-cos^2x}

Note that (\frac{4\sqrt{2} }{7})² = \frac{32}{49}

sinΘ = \sqrt{1-(32/49)}

        = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{7}

5 0
3 years ago
Ted likes to run long distances. He can run 20 km in 95 minutes.He wants to know how many kilometers he will go if he runs the s
gladu [14]
You just have to cross multiply. 20 x 285 = 5700. 5700 / 95 = 60.

He will run 60km
5 0
3 years ago
Read 2 more answers
What is the lateral surface area of the square pyramid represented by this net?Enter your answer in the box. ft²A square pyramid
Reika [66]

Answer:

The awnser is 176

Step-by-step explanation:

i have taken the test and got a 90 on it so yea

8 0
3 years ago
2/4 is more than 1/4?
Mazyrski [523]

Answer:

Yes!

Step-by-step explanation:

Yes, because 2>1.

4 0
3 years ago
Read 2 more answers
Prove that the sum of the squares of two consecutive integers is odd
seraphim [82]

Answer:

Step-by-step explanation:

Start by breaking up the question into parts:'always an odd number' . An even number is any number divisible 2 e.g. 2n, an odd number is always 1 higher or lower than an even number e.g. 2n+1 or something similar. Getting an answer at the end of working of this form will prove the theory'any two consecutive integers' means two numbers that are next to each other on the number line.To prove this, we can do this in terms of n i.e. n and n+1'the squares' square the two terms we have just written down to give n2 and (n+1)2The 'sum of the squares' tells us to add these two parts together. We would then hope to work through this and get something similar to the idea of 2n+1 or something similarn2+(n+1)2=2n2+2n+1=2(n2+n) +1. The first part of this is even because it is divisible by 2. By adding 1 it must become odd.

4 0
3 years ago
Read 2 more answers
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