<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5
side^2 =240 * 0.72654 / 5
side^2 =
<span>
<span>
<span>
174.3696
</span>
</span>
</span>
/ 5
side^2 =
<span>
<span>
<span>
34.87392
</span>
</span></span>
side =
<span>
<span>
<span>
5.9054144647 </span></span></span>
Pentagon Perimeter =
<span>
<span>
<span>
5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter =
29.5270723235
</span>
</span>
</span>
Information Given: She has 12 groups of sheep, 3 groups of cows and 2 groups of pigs. Question asks: There are 150 more sheep than pigs. How many cows has she got?
They figured 150 more sheep than pigs from 2 pigs X 75 sheep=150 lambs of 12 groups of sheep.
150 lambs/3 groups of cows=50 cows.
She has 50 cows from 3 groups of cows.
The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
Answer:
Insert question here--->
Step-by-step explanation:
