Answer:
The answer is the first option
hope this helps
Step-by-step explanation:
Consider a right triangle in which one of the angles 
satisfies
That is, the side opposite occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,
because
Then in this triangle,
Answer: 45°
Step-by-step explanation:
Diameter= 16m
Radius= 16/2 = 8m
The area of the circle= πr^2
= π8^2
= 64π square metres.
An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.
The circumference = 2πr = 16π,
This gives us an arc length of 2π metres.
But since we are looking for the the angle.
In degrees: 360/8 = 45°
Answer: x = 3
Step-by-step explanation:
Simplifying
17x + -3 = 48
Reorder the terms:
-3 + 17x = 48
Solving
-3 + 17x = 48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 17x = 48 + 3
Combine like terms: -3 + 3 = 0
0 + 17x = 48 + 3
17x = 48 + 3
Combine like terms: 48 + 3 = 51
17x = 51
Divide each side by '17'.
x = 3
Simplifying
x = 3
Answer:
- 3
Step-by-step explanation:
Using the law of logarithms
x = n ⇔ x = 
let ( 
) = n
( 
) = n, then
=
Since bases are the same on both sides then equate the exponents
⇒ n = - 3 → (4)
