Answer:
Since
△
P
Q
R
is a right-angled triangle, we can use the cosine or sine or tan rule to find the
∠
P
(1) Sine
sin
∠
P
=
opposite
hypotenuse
=
12
13
∠
P
=
sin
−
1
(
12
13
)
=
67.38
(2) Cosine
cos
∠
P
=
adjacent
hypotenuse
=
5
13
∠
P
=
cos
−
1
(
5
13
)
=
67.38
(3) tan
tan
∠
P
=
opposite
adjacent
=
12
5
∠
P
=
tan
−
1
(
12
5
)
=
67.38
Answer:
The walk will cost $8164.
Step-by-step explanation:
Given:
Diameter of the circular pond (D) = 24 yd
Width of the gravel path (x) = 2 yd
Cost per yard of the path = $50
Now, radius of the circular pond is half of the diameter and is given as:

Now, area of the pond is given as:

Area of the complete path including the pond area is given as:

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

Now, using unitary method,
Cost of 1 square yard of path = $50
∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164
Hence, the walk will cost $8164.
Answer:
step 2
Step-by-step explanation:
took the test
Answer:
47 degrees
Step-by-step explanation:
A shape always adds up to 180 so I added the two degrees and subtracted it from 180. You get the answer 47