Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
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Answer:
<em>Keisha will owe $18444.32 after 9 years</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is added to the principal rather than paying it in.
It basically means paying interest over interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).
If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.
Please, note that since there are 2 compounding periods per year, n = 2, thus:
Operating:
A = $18444.32
Keisha will owe $18444.32 after 9 years
Step 1: recognize the geometry as a 6 m square and 1/4 of a circle of radius 6 m.
Step 2: recall the formula for the area of a square is
A = s²
so the area of the square portion of the geometry is
A = (6 m)² = 36 m²
Step 3: recall the formula for the area of a circle is
A = πr²
so the area of the 1/4 circle will be
A = (1/4)*π*(6 m)² = 9π m²
Step 4: add the areas of the parts to find the area of the whole.
whole area = (36 m²) +(9π m²)
whole area = (36 +9π) m²
whole area ≈ 64.2743 m²
Answer:
5*5*5 - 12 / 3 = 121
Step-by-step explanation:
5^3 = 5 * 5 * 5 = 25 * 5 = 125
12/3 = 4
We evaluate exponents first: 5^3 = 125
Then division: 12/3 = 4
Then subtraction: 125 - 4 = 121
Answer:
y=4
Step-by-step explanation: