Answer:
m∠B = 43°
b = 26.1
c = 38.3
Step-by-step explanation:
By applying triangle sum in the given triangle,
47° + 90° + m∠B = 180°
137° + m∠B = 180°
m∠B = 43°
By applying sine ratio to the angle measuring 47°.
sin(47°) = 
= 
c = 
c = 38.28
c ≈ 38.3
By applying cosine rule,
cos(47°) = 
= 
= 
b = 38.3[cos(47°)]
b = 26.1
Yes,
a tangent is any piont on the a line TOUCHING a circle. the line must be 180* and outside of the circle at all points.
Answer:
The line of sight distance is 1285.58 feet.
Step-by-step explanation:
The situation is illustrated in the figure attached.
From the figure we see that the altitude difference of the planes and the distance between them form a right triangle with one angle of 40° .
The line of sight between the two planes is the hypotenuse of the triangle.
The altitude difference of the planes is

Therefore, if we call
the line of sight distance, from trigonometry we have


Therefore, the line of sight distance (x) is 1285.58 feet.
Answer:
The slope is -2, the intercept is (0, 10)
Step-by-step explanation:
Transform it into slope intercept form:
1/2y + x = 5
2(1/2y + x) = 5(2)
y + 2x = 10
y = -2x + 10
The slope is -2, the intercept is 10
The perimeter of the parallelogram end is 2*(8 +5) = 26 cm. The product of that and the depth gives the lateral area.
The area of the parallelogram ends is 2*8*3, so the total area is
.. surface area = (26 cm)*(7 cm) +2*(8 cm)*(3 cm) = 230 cm^2