Answer:
angle 5 is 61°
angle 7 is 61°
Step-by-step explanation:
1. angle 7 + angle 8 = 90° Because they are complementary angles
2. Because of point 1 above, angle 5 + angle 6 = 90°
3. since given angle 6 = 29°
so, angle 5 = 90° - 29° = 61°
4. since given angle 5 = angle 8
so, angle 8 = 61°
5. from point 1 above,
angle 7 + 61° = 90°
so angle 7 = 29°
Answer:
π x³ /12 is the volume of the cone if A cone has a height of x and a diameter of x
Step-by-step explanation:
The base diameter and the height of a cone are both equal to x units
Diameter of cone = x units
Radius = Diameter /2
=> Radius of cone = x/2 units
Height of cone =x units
Volume of cone = (1/3) π r²h
r = radius h = height
=> Volume of cone = (1/3)π (x/2)² * x
= (1/3) π (x²/4) * x
= (1/12) π x³
= π x³ /12 cubic units
Answer:
x = -19
Step-by-step explanation:
Answer:
192 ft^2
Step-by-step explanation:
to find the surface area of a shape, you must find the area of each side and add them together. the base of this shape is a rectangle with a length of 11ft and a height of 3ft; to calculate the area of a rectangle, you multiply the length by the height. 3*11 is 33, so the base of this prism has an area of 33ft^2. since this is a prism, we know that the side parallel to the base are the same shape, so they both have an area of 33ft^2. 33*2= 66. the two other large sides have a height of 4.5 and a length of 11; 4.5*11 is 49.5, there are two shapes with these dimensions, so 49.5*2=99. finally, the two shapes on either end of the prism have a height of 4.5 and a length of 3. 4.5*3= an area of 13.5, two of them, so 13.5*2=27. now you just add all of these numbers together: 66+99+27=192.
Answer:
Step-by-step explanation:
y=-2/5x
