Answer:
x = 0.5
Step-by-step explanation:
Answer:
P ≈ 48.89°(nearest hundredth)
Step-by-step explanation:
The triangle PQR forms a right angle triangle since angle R is 90°. The triangle has an hypotenuse , adjacent and opposite side.
Using the SOHCAHTOA principle one can find the sine ratio of angle P. Let us designate where each side represent.
opposite side(QR) = 55
adjacent side(PR) = 48
hypotenuse(PQ) = 73
sin P = opposite/hypotenuse
sin P = 55/73
P = sin⁻¹ 55/73
P = sin⁻¹ 0.75342465753
P = 48.8879095605
P ≈ 48.89°(nearest hundredth)
Answer:
The area of the shaded portion of the figure is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The shaded area is equal to the area of the square less the area not shaded.
There are 4 "not shaded" regions.
step 1
Find the area of square ABCD
The area of square is equal to

where
b is the length side of the square
we have

substitute

step 2
We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):
The area of circle is equal to

The diameter of the circle is equal to the length side of the square
so
---> radius is half the diameter
substitute


Therefore, the area of 2 "not-shaded" regions is:

and the area of 4 "not-shaded" regions is:

step 3
Find the area of the shaded region
Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:
so
---> exact value
assume

substitute
The answer is b
(-1,3,5)
Hope this helps!