Answer:
X=(5/4)^-10
Step-by-step explanation:
(5/4)^6÷x=(25/16)^8
(5/4)^6÷x=(5/4)^16
1/X==(5/4)^16÷(5/4)^6
X=(5/4)^6÷(5/4)^16
X=(5/4)^-10
So the value of X is (5/4)^-10
Answer:
Ф = 0 and Ф = π
Step-by-step explanation:
* Lets explain how to solve the problem
∵ sin Ф + 1 = cos²Ф, where 0 ≤ Ф < 2π
- To solve we must to replace cos²Ф by 1 - sin²Ф
∵ sin²Ф + cos²Ф = 1
- By subtracting sin²Ф from both sides
∴ cos²Ф = 1 - sin²Ф
- Lets replace cos²Ф in the equation above
∴ sin Ф + 1 = 1 - sin²Ф
- Subtract 1 from both sides
∴ sin Ф = - sin²Ф
- Add sin²Ф for both sides
∴ sin²Ф + sin Ф = 0
- Take sin Ф as a common factor from both sides
∴ sin Ф(sin Ф + 1) = 0
- Equate each factor by 0
∵ sin Ф = 0
∴ Ф = 0 OR Ф = 2π
∵ sin Ф + 1 = 0
- Subtract 1 from both sides
∴ sin Ф = -1
∴ Ф = π
∵ 0 ≤ Ф < 2π
∵ Ф < 2π
∴ We will refused the answer Ф = 2π
∴ Ф = 0 and Ф = π
Angle m is supplementary to the angle that is 125° degrees.
Supplementary angles mean they add up to 180°, which is a straight line.
180-125= 55.
So, angle m is 55°
I hope that helps!
Answer:
18 feet
Step-by-step explanation:
5 years to 30 years is 6
6x5=30
3x6=18
Answer:
r = 4
Step-by-step explanation:
side of square is the same as the diameter of the circle
if diameter is 8 then radius is 4
