The total length around the circle = 2 pi r = 2*pi*16 = 32 pi
Total degrees around the circle = 360 so
length of the arc of measure 270 = 32 pi * 270/360 = 24 pi units
or 75.40 units to the nearest hundredth
The measure of the indicated angle to the nearest degree is 47°.
<h3>What is the measure of the angle?</h3>
Given the data in the question;
- Adjacent = 36
- Hypotenuse = 53
- Angle θ = ?
From trigonometric ratio, Cosθ = Adjacent / Hypotenuse
Cosθ = 36/53
θ = cos⁻¹( 36/53 )
θ = 47°
Therefore, the measure of the indicated angle to the nearest degree is 47°.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
so
The positive real number is
Find the value of y

Vertical stretch by 2 units.
B
Answer:
b
Step-by-step explanation: