We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
Answer:
Yes
Step-by-step explanation:
If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle
longest side = 7.5
7.5² = 56.25
2.1² + 7.2² = 4.41 + 51.84 = 56.25
Thus the 3 values form a right triangle.
Answer:
0.15kg
Step-by-step explanation:
Given data
We are told that
0.75 kg of cortos weights 5times the mas of the onion
We want to find the mass of 1 onion
Hence
0.75 kgcortos = 5 onions
x cortos = 1 onions
x= 0.75/5
x= 0.15kg
Hence 1 onion will weigh 0.15kg
Step-by-step explanation:
a)
135
/ \
3. 45
/ \
3. 15
/ \
3. 5
b)
250
/ \
10 .25
/\ / \
2 5. 5 5
c)
351
/ \
3. 117
/ \
3. 39
/ \
3. 13
Hope it helps :)
The answer is 150 because 30+150=180