Answer:
44°
Step-by-step explanation:
Inscribed angles are half the central angle.
So 44° = ½ BC, meaning BC = 88°.
x is also an inscribed angle of BC, so x = ½ (88°) = 44°.
Inscribed angles of the same central angle are always equal. This is known as the Angles Subtended by Same Arc Theorem.
Answer:
in
Step-by-step explanation:
The formula to find the area of a circle: 
, where 
is the radius.
The formula to find the circumference (perimeter) of a circle: 
, where is the radius.
1) To find the circumference of the circle, we need to find the radius () first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.
Cancel the 
by bringing it to the other side.
÷
2) Find the circumference of the circle by using the formula, .
= 
= in
Answer:
u as the subject of the given formula is, 
Step-by-step explanation:
Given;
v² = u²+2as
To make u the subject of the formula, the following steps are taken;
v² = u²+2as
v² - 2as = u²
take the square - root of both sides of the equation;
Thus, u as the subject of the given formula is,
We first have to come up with an equation that satisfies this. The equation is y+11=7.
Then we subtract 11 from both sides. y+11-11=7-11.
Then we get the answer y=-4.
Answer:
The number of years needed is 15.75 years.
Step-by-step explanation:
The investment amount (present value) = $200
Interest rate =4.5%
Double of investment = $400
Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.
Future value = present value ×(1+interest rate)^n
400 = 200×(1+4.5%)^n
N = 15.75 years
The number of years required to double the amount is 15.75 years.
