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3 years ago

Find the measure of each exterior angle of a regular nonagon.

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

360°÷9

Step-by-step explanation:

All exterior angles should add up to 360°.

The nonagon is a regular polygon hence all the exterior angles are the same size.

∴ 360°÷9= 40°

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Solve each equation. 1. 9/2x+18+3x=11/2 2. (x+6)-(2x=7)-3x=-9

zzz [600]

$1.\\\frac{9}{2}x+18+3x=\frac{11}{2}\ \ \ \ \ |Multiply\ by\ 2\\\\
9x+36+6x=11\\\\
15x+36=11\ \ \ |Subtract\ 36\\\\
15x=-25\ \ \ |Divide\ by\ 15\\\\
x=-1\frac{2}{5}\\\\
2.\\
(x+6)-(2x-7)-3x=-9\\\\
x+6-2x+7-3x=-9\\\\
-4x+13=-9\ \ \ |Subtract\ 13\\\\
-4x=-22\ \ \ |Divide\ by\ -4\\\\
x=5,5$

3 0

3 years ago

There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

15
42,250

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

3 years ago

Enter the values of h and I so that y=x2+6x+10 is in vertex form Y=(x+__)^2+___

DiKsa [7]

$Use\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\y=x^2+6x+10=x^2+2(x)(3)+10=\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2+10\\\\=(x+3)^2-9+10=(x+3)^2+1\\\\Answer:\ \boxed{y=(x+3)^2+1}$

3 0

3 years ago

What is the value of x?

Makovka662 [10]

Answer:

A-100

Step-by-step explanation:

Use the Pythagorean therom.

a^2+b^2=c^2

6^2+8^2=c^2

36+64=100.

Hope this helps. Kinda confused me.

4 0

3 years ago

Explain why ∠4 is equal to the sum of the measures of the two nonadjacent interior angles (Angle 1 and Angle 2).

Akimi4 [234]

Angle 4 is 77 degrees. Since angles 1, 2, and 3 must add up to 180 degrees, and angles 3 and 4 must also add up to 180 degrees, angles 1 + 2 must be equal to angle 4

3 0

3 years ago