Answer:
x -intercept (31,0)
y-intercept (0,-31/10)
Step-by-step explanation:
x-10y=31
x-10(0)=31
x=31
x-10y=31
0-10y=31
-10y=31
y=-31/10
Answer:
(1) 1/15 (2) 8
Step-by-step explanation:
(1) 7/10 x 2/21= 14/210 simplified 1/15
(2) 4/9 x 18=72/9 simplified 8
A(6) and D(-4) are solutions to the equations
(6)^2 < 81 | 36 < 81
(-4)^2 < 81 | 16 < 81
Angles could be expressed in degrees or in radians. The relationship between the two could be easily explained by illustrating a circle. A semi-circle has a total angle of 180°. This is equal to a π radians. So if the angle is π/2, in degrees, that would be 180/2 = 90°.
Then, determining the cosine 90° in a calculator would yield an answer of zero.
Answer:
198 ft ^ 2
Step-by-step explanation:
The figure is divided into two, a rectangular prism and a pyramid.
The formula for the surface area for the rectangular prism is:
A1 = 2ab + 2bc + 2ac
we know that the sides are a = 4.5, b = 4.5 and c = 6, replacing:
2 * 4.5 * 4.5 + 2 * 4.5 * 6 + 2 * 4.5 * 6 = 148.5 ft ^ 2
Now for the pyramid, the surface area is:
A2 = Ab + 1/2 * p * s
The base area is, since it is a square:
Ab = 4.5 ^ 2
Ab = 20.25 ft ^ 2
Now the perimeter, being a square, is one side times 4:
p = 4.5 * 4
p = 18 ft
and the value for "s" is shown in the figure and is 3.3 ft, replacing:
A2 = 20.25 + 1/2 * 18 * 3.3
A2 = 49.95 ft ^ 2
Now the total area is:
At = A1 + A2 =
At = 148.5 + 49.95
At = 198.45 ft ^ 2
Therefore the surface area of the figure is 198 ft ^ 2