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Oksanka [162]
3 years ago
14

What is the quotient of StartFraction 22 + 3 I Over 5 + 2 I EndFraction?

Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0

Answer:

4-i

Step-by-step explanation:

right on edge

Lynna [10]3 years ago
7 0

Answer:

4 - i

Step-by-step explanation:

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Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)
Wittaler [7]

(tanθ + cotθ)² = sec²θ + csc²θ

<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ

<u>Evaluate middle term</u>: 2tanθcotθ = 2*\frac{sin\theta}{cos\theta}*\frac{cos\theta}{sin\theta} = 2

⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

<u>Apply trig identity:</u>  tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

<u>Apply trig identity:</u>  1 + cot²θ = csc²θ

⇒ sec²θ + csc²θ

Left side equals Right side so equation is verified


7 0
2 years ago
What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box​
koban [17]

Answer:

39

Step-by-step explanation:

-3x(-13) = 39.

If this question was asking for something different I apologize.

6 0
3 years ago
There are 100 balloons in total the ratio between the yellow and blue balloons is 8 to 12 how many are yellow
Virty [35]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio.

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication.

Finally, solve for x and if you had 100 balloons, you will have 40 yellow balloons.

4 0
3 years ago
Read 2 more answers
PLEASE HELP DUE TOMORROW
kow [346]
190-15=x
I believe?
I THINK THIS IS THE ANSWER
3 0
3 years ago
If Stacy brought 150 apples and gave 6 to each of her 4 friends, how much will she have left?
o-na [289]
The answer is 126 because you multiply 6 times 4 which equals 24 and subtract that from 150 so 150-24 = 126
5 0
3 years ago
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