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GREYUIT [131]
3 years ago
10

How to do question 27

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ)

Note:

 sin(90 + θ) = cosθ        Cosine and Sine are complementary.

cos(360 - θ) = cosθ      Cosine positive in 4th quadrant.

tan(-θ) = -tanθ          Negative angle concept.


1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ) =  1/(cosθcosθ)     -   (-tanθ)²

                                                                 =  1/(cos²θ)     -       tan²θ

                                                                  =  (1/cosθ)²     -       tan²θ
Note: 1/cosθ = secθ

                                                                 =  (secθ)²     -       tan²θ

                                                                  =  sec²θ     -       tan²θ

                                                                  =  1


Note that    1+ tan²θ = sec²θ is a Trigonometric identity.

That means:  sec²θ     -       tan²θ = 1

Hope this explains it.
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RSB [31]

Answer:50

Step-by-step explanation:

Bc 25+25 is 50.

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HELP ME TVT I beg you (answer by yes or no)
aliya0001 [1]

Answer:

1:yes 2:no 3:no 4:yes

Step-by-step explanation:

3*2=6 for the numerators

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you can simplify this to make it 3/10 ✔️

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you can simplify this to make it 1/3 ❌

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you can turn this into 1/50 ❌

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you can turn this into 3/10 ✔️

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5 0
3 years ago
Don’t remember how to do this , ?
andriy [413]

28. The ratio of games they won to total games played = 12: 14 = 6: 7.

29. Max's pay rate is 9.50 dollars per hour.

30. The value of n is 9.

Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

Money earned per hour = \frac{380}{40} = $9.50. So Max's pay rate per hour is $9.50.

Step 3; The given proportion is

\frac{n}{12} = \frac{18}{24}, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side

n = \frac{18}{24} × 12 = \frac{3}{4} × 12 = \frac{36}{4} = 9.

7 0
3 years ago
Write a two step equation involving division and addition that has a solution of x = 25
Tamiku [17]
Start with the solution
x=-25
use the reverse of what they asked
they wanted division and addition
we use multiplication and subtract

ok
x=-25
we can use subtraction and multiplication in any order
minus 10 from both sides
x-10=-35
multiply both sides by 4
4(x-10)=-140
4x-40=-140 is a possible equation
6 0
3 years ago
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