Answer:
<A = 56degrees
<B = 34degrees
<C = 56degrees
Step-by-step explanation:
From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;
<C + <D = 180
<C + 124 = 180
<C = 180 - 124
<C = 56degrees
Also;
<B + 90 + <C = 180
<B + 90 + 56 = 180
<B + 146 = 180
<B = 180 - 146
<B = 34degrees
Similarly;
<A + <B = 90
<A + 34 = 90
<A = 90 - 34
<A = 56degrees
Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
Answer:
I can't seem to solve these but hope this information helps :)
Step-by-step explanation:
Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
Can’t get the answer what is m2?
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)
