Anyone know how to do this?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Step-by-step explanation:

radius = 0.5

sphere volume = 4/3 * pi * r cubed

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15 Find the missing angle. 200 180 А A 100 B) 50 C 80 D) 70°

Korvikt [17]

Step-by-step explanation:

=> x + 80 + 20 = 180

=> x + 100 = 180

=> x = 180 - 100

=> x = 80°

6 0

3 years ago

Read 2 more answers

Find the measure of angle

madreJ [45]

9514 1404 393

Answer:

(b) 62°

Step-by-step explanation:

Let x represent the measure of the angle.

The complement is (90 -x).

The supplement is (180 -x).

The relationship between the supplement and the complement is ...

(180 -x) = 6 +4(90 -x)

180 -x = 6 +360 -4x

3x = 186

x = 62

The measure of the angle is 62°.

5 0

3 years ago

Find the following Euler Totients using Euler’s Theorem, as explained on p.409 of the text (10 points each): a.ϕ(13) b.ϕ(81) c.ϕ

ad-work [718]

(a) $\varphi(13)=12$ since 13 is prime.

(b) $81=3^4$ , and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so $\varphi(81)=54$ .

(c) $100=2^2\cdot5^2$ ; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with $\varphi(100)=100-60=40$ .

(d) $102=2\cdot3\cdot17$ ; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so $\varphi(102)=102-70=32$ .