Answer:
<h2>288 ft³</h2>
Step-by-step explanation:
The formula of a volume of a prism:
where
<em>B</em><em> - area of a base</em>
<em>H</em><em> - height of a prism</em>
<em />
In the base we have the right treiangle. The formula of an area of a right triangle is:
where
<em>a, b</em><em> - are legs</em>
We have
Substitute:
Calculate the volume.
Substitute
Let X be chickens
Let Y be pigs,
then x+y=13
the animals have 2x+4y legs,
so 2x+4y=40
The system of the equations
[X+y=13
[2x+4y=40
Divide the second equation by 2
[x+y=13
[x+2y=20
subtract the first equation from the second one
y=20-13
y-7 pigs
substitute y=7 into the first equation
x+7=13
x=13-7
x=6 chickens
Two supplementary angles when addd together equal 180.
let one angle = x
The second angle is 5 times that so would be 5x
x + 5x = 180
Simplify:
6x = 180
Divide both sides by 6:
X = 30
One angle is 30, the second angle would be 150
The answer is 150
