Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
Answer:
0.52 km
Step-by-step explanation:
We are given that
Speed of object, v=
Speed of object, v=
Distance travel by object, s=
Distance travel by object, s=
We have to find the time taken by object to travel 5 1/10 km.
We know that
Using the formula
Time taken by object to travel 5.1 km =
Time taken by object to travel 5.1 km=0.52 hr
Answer:
The length of the side adjacent to that angle is 26 units
Step-by-step explanation:
We are given
In a right triangle, the side opposite a 33 degree angle is 17 units
Firstly, we will draw diagram
we can use trig
now, we can solve for x
So,
The length of the side adjacent to that angle is 26 units
Answer :
no. of days used to repair 1250m of road = 5
no. of days used to repair 1m of road = 5/1250
no. of days used to repair 8000m of road (8*1000m ) = 5/1250*8000= 32 days
Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
