Answer:
p = 633.09 ft
Step-by-step explanation:
The distances of each leg are indicated
Add them to get the perimeter
p = 100 + 89.44 + 186.81 + 120.83 + 136.01
p = 633.09 ft
Answer:
Step-by-step explanation:
56
Answer:
Step-by-step explanation:
(x,y)→(-x,-y) (180° about the origin)
1.p(-3,2) ,in the second quadrant
P(-2,-3) is in 4th quadrant.
in the clockwise it is rotation of 270° about the origin.
2.
Q(-4,-5) is in 4th quadrant.
Q(4,5) is in 1st quadrant.
so it is 180° rotation in the clockwise direction.
3.
R(1,7) is in 1st quadrant.
R(7,-1) is in 4th quadrant.
Hence it is 90° rotation about the origin in clockwise direction.
Answer:
see the attachments for the two solutions
Step-by-step explanation:
When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.
When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.
___
Here, the law of sines can be used to solve the triangle:
A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°
B = 180° -70° -A = 31.81° or 8.19°
b = 24·sin(B)/sin(70°) = 13.46 or 3.64