Alex wrote the equation C= 2n describe a situation that this equation could represent

Mathematics

1 answer:

mixer [17]3 years ago

8 0

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I need help with this question.

SSSSS [86.1K]

Answer:

$\displaystyle S_{27}=675$

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

$\displaystyle S_N=\frac{N}{2}(F+L)$

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

$\displaystyle S_{27}=\frac{27}{2}(12+38)$

$\displaystyle S_{27}=\frac{27}{2}(50)$

$\displaystyle S_{27}=27*25$

$\mathbf{\displaystyle S_{27}=675}$

5 0

3 years ago

Find the area of the shaded region of the region

Alecsey [184]

Check the picture below.

so, if we get the whole area of the figure, which will be the combined areas of those three rectangles, and if we get the area of the triangle, and then subtract that area from of the triangle from the whole figure's area, we're in effect making a whole in the total area, and what's leftover is the shaded area.

$\bf \stackrel{\textit{area of the rectangles}}{(1.6\cdot 5.2)+(2.7\cdot 8.4)+(1.6\cdot 5.2)}~~-~~\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(2.7)(8.4)} \\\\\\ 8.32+22.68+8.32~~-~~11.34\implies 39.32-11.34\implies 27.98$