Answer:
5x+3x=8x
8x = 32
x=32/8 = 4
boys are 4 x 5 = 20
girls are 4 x 3 = 12
Step-by-step explanation:
Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
<h3>
</h3>
We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by 
which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
<span> Two rectangles, one lying completely within the other. The area between the rectangles is shaded. Two adjacent sides of the larger rectangle are labeled sixty feet and forty feet. The shaded area is labeled four foot border.
Area of larger rectangle = 60 ft * 40 ft = 2400 ft</span>²
Area of smaller rectangle = (60-4)ft * (40-4)ft = 56 ft * 36 ft = 2,016 ft²
Area of the border = 2,400 ft² - 2,016 ft² = 384 ft²
Answer:
Step-by-step explanation:
The formula of volume of cone is
V=\frac{1}{3}\pi r^{2} h
where, r is the radius
we have given diameter = 12 =2r
r=6 ft
h is the height h=6 ft
\pi =3.14
Substitute the value in the formula,
V=\frac{1}{3}\pi r^{2} h
V=\frac{1}{3}\times (3.14)\times 6^{2}\times 6
V=\frac{1}{3}\times 3.14\times 36\times 6
V=226.08 ft^3
Therefore, The volume of cone is 226.08 cubic ft.
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