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Neko [114]
2 years ago
11

If cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.

Mathematics
1 answer:
belka [17]2 years ago
5 0

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)

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If the absolute value of a number is added to the original number will the sum always equal 0
lbvjy [14]
Not necessarily. the absolute value of a number is that number's distance from 0 on a number line. if your taking the absolute value of a negative value, what you stated would be true. however, what if you took the absolute value of a positive number? hope that answers your question.
8 0
2 years ago
Select all irrational numbers.
const2013 [10]
The answers are A and D.
The numbers that you cannot simplify without having a radical in the answer are irrational numbers. 

√(4/16) = 1/4 or -1/4, rational number
√(9/16) = 3/4 or -3/4, rational number
√(9/4) = 3/2 or -3/2, rational number

√(3/16) = √(3)/4, NOT a rational number, cannot remove radical
√(3/4) = √(3)/2, NOT a rational number, cannot remove radical 
5 0
3 years ago
Read 2 more answers
A sample of lake water contains 150grams of salt. If 30% of the water sample is salt, find the number of grams the entire sample
hjlf

Answer:

500 grams

Step-by-step explanation:

Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:

30% * x = 150

Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:

0.30 * x = 150

Divide both sides by 0.30:

x = 500 grams

Hope this helps!

5 0
3 years ago
Please solve whatever this is, I’ll mark whoever gives me the right answer as brainliest!
Reptile [31]

Answer:

y= -a/bx +c/b

m= -a/b

b= c/b

Step-by-step explanation:

Hope this helps

8 0
3 years ago
Kayleigh babysat for 11 hours this week that was 5 fewer than 2/3 as manyas she baby sat last week, h write an equation to repre
mars1129 [50]

Answer:

10.5 hours

Step-by-step explanation:

To find the number of hours she babysat last week subtract 5 from 11 which is 7 hours. 7 hours is equal to 2/3 of the many hours. If she babysat h hours last week then solve for h using 2/3 h = 7.

Solve the equation by multiplying each side by the reciprocal.

3/2 * 2/3h = 7*3/2

h = 21/2

h = 10.5 hours

3 0
3 years ago
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