Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x + 26/10x
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken
Darpan runs a distance of 12 km and then cycles a distance of 26 km.
Total distance = 12 + 26 = 38km
The running speed is x km/h
A = x
The cycling speed is 10 km/h faster than his running speed
B = 10x
He takes a total time of 2 hours and 48 minutes.
So, the total time he takes
Time = Distance x speed
2.48 = 12/x + 26/10x
10x(2.48) = 120 + 26
24.8x = 146
x = 5.8
Learn more about speed here;
brainly.com/question/7359669
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Answer:
D
Step-by-step explanation:
It's one of each or not both tho:)
The answer is 10^11. Quick way to remember is starting from the right and however many places you need to move to the 1, is the number that goes as the exponent.
See, pls, this:
If ∠y=∠CBD, then in
ΔABX: ∠A=40°; ∠X=90° ⇒ ∠ B=180-(40+90)=50°.
∠B of ΔABX=∠CBD=∠y=50°.
Answer: 50°.