Answer:
[B] 0, 19.5, 160.5, 180, 360
Step-by-step explanation:
3 sin²θ = sin θ
3 sin²θ − sin θ = 0
sin θ (3 sin θ − 1) = 0
sin θ = 0 or sin θ = ⅓
If sin θ = 0, θ = 0°, 180°, 360°.
If sin θ = ⅓, θ = 19.5°, 160.5°.
Answer:
54
Step-by-step explanation:
A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:
x° = 90° -36° = 54°
The value of x is 54.
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
Answer:
$200
Step-by-step explanation:
The formula for calculating interest = principal x interest rate x time
principal is the amount borrowed = $1250
interest rate = 4%
Time = amount of years the money is borrowed for
$1250 x 0.04 x 4 = $200
<span>-4x + y = -25 y = 4x - 25
-6x - 6y = 0 </span>
-6x - 6(4x - 25) = 0
-6x - 24x + 150 = 0
-30x + 150 = 0
-30x = -150
x = 5
y = 4(5) - 25
y = 20 - 25
y = -5
(5, -5)
