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3 years ago

What is the area of the polygon?

Mathematics

1 answer:

Marat540 [252]3 years ago

3 0

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem

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If f(x) = 3x +9 x when f(x) = 30

den301095 [7]

Answer:

$x=5/2$

Step-by-step explanation:

When $f(x)=30$ , we have $3x+9x=30$ .

Combining like terms on the right side, we have $12x=30$ .

Finally, dividing by $12$ we get $x=30/12$ .

We note that $30=6*5$ and $12=6*2$ , so $30/12=5/2$ .

So, $\boxed{x=5/2}$ and we're done!

3 0

2 years ago

What is the answer for 2(a+b)=

Rainbow [258]

<h3>It is equivalent to 2a+2b</h3>

We use the distributive property.

Multiply the outer term 2 by each term inside ('a' and b)

2 times a = 2a

2 times b = 2b

We add those results to get 2a+2b. We cannot combine these terms as they are not like terms.

8 0

3 years ago

Which pair of angles has congruent values for the sin x° and the cos y°?

IRISSAK [1]

Answer:

Step-by-step explanation:

We know that if angles x and y are complementary, then sin(x)=cos(y).

This means the measures of the angles have to add to 90 degrees, which is satisfied by the fourth option.

7 0

2 years ago

Approximate the integral integral integral integral f(x, y) dA by dividing the rectangle R with vertices (0, 0), (4, 0), (4, 2),

amm1812

Answer:

Step-by-step explanation:

Approximate the integral $\int\int\limits_R {f(x,y)} \, dA$ by dividing the region $R$ with vertices (0,0),(4,0),(4,2) and (0,2) into eight equal squares.

Find the sum $\sum\limits^8_{i=1}f(x_i,y_i)\delta A_i$

Since all are equal squares, so $\delta A_i=1$ for every $i$

$\sum\limits^8_{i=1}f(x_i,y_i)\delta A_i=f(x_1,y_1)\delta A_1+f(x_2,y_2)\delta A_2+f(x_3,y_3)\delta A_3+f(x_4,y_4)\delta A_4+f(x_5,y_5)\delta A_5+f(x_6,y_6)\delta A_6+f(x_7,y_7)\delta A_7+f(x_8,y_8)\delta A_8\\\\=f(0.5,0.5)(1)+f(1.5,0.5)(1)+f(2.5,0.5)(1)+f(3.5,0.5)(1)+f(0.5,1.5)(1)+f(1.5,1.5)(1)+f(2.5,1.5)(1)+f(3.5,1.5)(1)\\\\=0.5+0.5+1.5+0.5+2.5+0.5+3.5+0.5+0.5+1.5+1.5+1.5+2.5+1.5+3.5+1.5\\\\=24$

Thus, $\sum\limits^8_{i=1}f(x_i,y_i)\delta A_i=24$

Evaluating the iterate integral $\int\limits^4_0 \int\limits^2_0 {(x+y)} \, dydx=\int\limits^4_0 {[xy+\frac{y^2}{2} ]}\limits^2_0 \, dx =\int\limits^4_0 {[2x+2]}dx\\\\=[x^2+2x]\limits^4_0=24.$

Thus, $\int\limits^4_0 \int\limits^2_0 {(x+y)} \, dydx=24$

7 0

3 years ago

Points W, K, and

Ksju [112]

Answer:

Points W, K, and J are collinear. Line CA and line YK intersect at point B. Point W is not contained on line m. The answers will be J,B,W

Step-by-step explanation:

Hope this helped :)

5 0

3 years ago