Answer:
Step-by-step explanation:
The area of a pie-slice shape can be found with the equation 
where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is 
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is 
where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle:
Answer:
y = x - 3
Step-by-step explanation:
Do rise/run to find the slope
8/8 = 1
y = x + b
Plug in a point to find the y-intercept
-5 = -2 + b
-3 = b
The equation will be y = x - 3
The probability is 0.1429.
The probability that the first person chosen is a boy is 5/7. The probability that the second is a boy is 4/6; the third, 3/5; and the fourth, 2/4. Both the numerator and denominator decrease every time, because you lose a boy to choose from and you lose a student to choose from as well. This gives us:
5/7(4/6)(3/5)(2/4) = 120/840 = 0.1429.
Answer:
Step-by-step explanation:
Back
Area = L * W
L = 20
W = 8
Area = 20 * 8
Area = 160
2 Triangles
Area = 1/2 one smaller leg*other smaller leg
one smaller leg = 8
The other one = 15
Area = 1/2 8 * 15 = 60
But there are 2 of them 2 * 60 = 120
Base
L = 20
W = 15
Area = L * W
Area = 20*15 = 300
Front (slanted) Face
L = 20
W = 17
Area = L * W
Area = 20*17 <u> 340</u>
Total 920
Answer:
12
Step-by-step explanation:
if we know we want a profit of at least 114, we need to solve for x.
if we put 12 for x we get the answer 117 and when we put 11 for x we get less than 114.
-0.5(12)^2 + 25(12)-111 = 117
