Answer:
a = 40°
Step-by-step explanation:
I. When total angle is 180 or half of circle
Find a or missing angle by
180 = 50 + 90 + x
180 - 140 = x
x = 40º
That makes a is 40º
Hope that help :)
Answer:
108 cubic units
Step-by-step explanation:
V = 4 cubic units
v = (1/3)³ = 1/27 cubic units
V/v = 4/(1/27) = 4/1 x 27/1 = 108 cubic units
First find the length of the hypotenuse using pythagorean theorem
<span>c^2 = 5^2 + 7^2
c^2 = 25 + 49
c^2 = 64
c=8 (take the square root in both sides)
Since sin = opposite/hypotenuse,
sin = 5/8 = 0.625</span>
Let's the length to be x,
then the width is 8x - 2.
Perimeter of a rectangle = 2*Width + 2*Length
Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4
Ar the same time, Perimeter of the rectangle = 88.
So, we can write
18x - 4 = 88
18x = 84
9x=42
x= 42/9 cm (length) or ≈ 4.67 cm (length)
8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)
