Answer:
18
Step-by-step explanation:
In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.
6(3)=18 days
3x+4=52
-4 -4
3x=48
divide by 3 on both sides
x=16
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2
The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2
5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
We can get the measurement of the arc by determining first the radius of the circle. The circumference of a circle is equal to 2 * pi * radius. Hence from a 12 unit2 circumferenced circle, the radius is 1.91 units.Length of the arc is equal to radius times the angle in radians. 60 deg is equal to pi over 3. The length of the arc is equal to 2 units.
Plug -7 for x
10*-7 = -70 - 19 = -89
<span>k(-7) = -89</span>
