Answer:
A
Step-by-step explanation:
x=5 is the opposite of -5 so it can be eliminated
y=x-5 is not giving you the x intercept and same with y=-x+5
A circle is a two-dimensional line that forms a closed loop, where every point on that loop is an equal distance from the center.[1] The circumference (C) of a circle is its perimeter, or the distance around it.[2] The area (A) of a circle is how much space the circle takes up or the region enclosed by the circle.[3] Both area and perimeter can be calculated with simple formulas using the radius or diameter of the circle and the value of pi.
50 because 80+50+x=180 (inside triangle) x=130 180-130= 50 (angle outside triangle)
We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
Since the interior is 170 the exteriro must be 10 degrees. There is a total of 360 degrees so 360/10=36 or 36 sides.
