Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m
= 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m
= 48°
∴ m
= 2 × 48° = 96°
m∠AEF = (1/2) × m
m
+ m
= 360° (angle round a circle)
∴ m
= 360° - m
= 360° - 96° = 264°
m
= m
+ m
∴ m
= m
- m
= 264° - 175° = 89°
m
= 89°.
Answer:
EF=3.6
Step-by-step explanation:
I'm going to use Pythagorean Theorem for side EF.
4.8^2+EF^2=6^2
23.04+EF^2=36
-23.04 -23.04
EF^2=12.96
sqrt sqrt
EF=3.6
Answer:
$172,984.44
Step-by-step explanation:
We can use the formula
to compute the final amount
Here P is the principal amount, the original deposit = $25,000
r is the annual interest rate = 6.5% = 0.065 in decimal
n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year
t is the number of time periods ie 30 years
A is the accrued amount ie principal + interest
Computing different components,



Therefore

You factor the numerator and denominator and cancel the common factors. So maybe that should help you
Answer:250
Step-by-step explanation: