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Vlad [161]
3 years ago
7

Rewrite the expression as an algebraic expression in x. tan(sin−1(x))

Mathematics
1 answer:
solmaris [256]3 years ago
7 0
Let tan^{-1} x=\alpha
Then it can be shown by using a right-angled triangle and the rule of Pythagoras that \alpha= tan^{-1} \frac{x}{ \sqrt{1-x^{2}} }
Therefore
tan(sin ^{-1} (x))=\frac{x}{ \sqrt{1-x^{2}} }
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Anyone?<br> Please help......
Blizzard [7]
X / 20 = 3 / 6

x = 10
4 0
3 years ago
Read 2 more answers
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the n
olga55 [171]

Answer:

The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.

8 0
3 years ago
Find the surface area
ki77a [65]

Step-by-step explanation:

so for this one u do

15 \times 9 + 9 \times 4 + 15 \times 4

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

7 0
3 years ago
in a canoe race, a team paddles downstream 480 m in 60 s. The same team makes the trip upstream in 80 s. Find the team's rate in
Vera_Pavlovna [14]
480=60(v+s) 

480=60v+60s

8=v+s

s=8-v...

480=80(v-s)  using s from above we get:

480=80(v-(8-v))

6=v-8+v

6=2v-8

2v=14

v=7, and since s=8-v, s=1

So the rate of the team is 7m/s while the rate of the stream is 1m/s





7 0
3 years ago
If x=-1\3 is a zero of a polynomial p(x)=27xcube -axsquare -x+3 then find the value of a
antoniya [11.8K]

Answer:

a = 21

Step-by-step explanation:

If x = h is a zero of a polynomial then f(h) = 0, thus

p(- \frac{1}{3} ) = 27( - \frac{1}{3} )³ - a(- \frac{1}{3} ) - (- \frac{1}{3} ) + 3 = 0, that is

27 (- \frac{1}{27} ) - \frac{1}{9} a + \frac{1}{3} + 3 = 0

- 1 - \frac{1}{9} a + \frac{10}{3} = 0 ( multiply through by 9 to clear the fractions )

- 9 - a + 30 = 0

- a + 21 = 0 ( subtract 21 from both sides )

- a = - 21 ( multiply both sides by - 1 )

a = 21

5 0
3 years ago
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