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3 years ago

Calculate the measure of each exterior angle of a 90 sided regular polygon. Explain.

1 answer:

3 0

90 sides give us 90 angles

sum of all inside angels is (n-2) * 180 deg. where n is number of angels

so one inside angle is
(90-2)*180 deg / 90 = 88* 2 deg = 176 deg.

measure of exterior angle is 360 - 176 = 184 deg.

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Please help. Find the value for x to the nearest tenth. See picture.

kogti [31]

To me the answer is 6.4 and welcome get a good grade

5 0

3 years ago

The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r

insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

Area of a rectangle:

A rectangle has width $w$ and length $l$ . The area is the multiplication of these measures, that is:

$A = wl$

The length of a rectangle is the sum of the width and one.

This means that $l = w+1$ , or $w = l - 1$

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

$wl = 72$

$(l-1)l = 72$

$l^2 - l - 72 = 0$

Quadratic equation with $a = 1, b = -1, c = -72$ . So

$\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289$

$l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9$

$l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8$

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0

3 years ago

How many sites are show in this data set?

andre [41]

Answer:

The total number of sites are 15 .

Step-by-step explanation:

As shown in question.

The number of sites in 2 shield darter = 3

The number of sites in 3 shield darter = 1

The number of sites in 4 shield darter = 4

The number of sites in 6 shield darter = 2

The number of sites in 7 shield darter = 3

The number of sites in 8 shield darter = 1

The number of sites in 9 shield darter = 1

Thus

Total number of sites = Number of sites in 2 shield darter + Number of sites in 3 shield darter + Number of sites in 4 shield darter + Number of sites in 6 shield darter + Number of sites in 7 shield darter + Number of sites in 8 shield darter + Number of sites in 9 shield darter

Putting the values in above

= 3 + 1 + 4 + 2 + 3 + 1 +1

= 15

Therefore the total number of sites are 15 .

3 0

3 years ago

I need help with A,B,and C

Vinil7 [7]

Answer:

Answers!!!!!!

HOPE THIS HELPS!!!!!!!!!!

Step-by-step explanation:

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2

Korolek [52]

Hey there!

In order to find out the answer to this question, we can distribute

$-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197$

Flip your problem around!

$2x - 194 = -30$

Add by $194$ on each of your sides

Like: $2x - 194 + 194 \\ \\ \\ -30 + 194$

Cancel out: $-194 + 194$ because they would give you the outcome of $0$

Keep: $-30 + 194 [/tex] because that'll give you: [tex]164$

Your problem becomes: $2x = 164$

Now, we have to divide by $2$ on each of the sides

Like: $\frac{2x}{2} = \frac{164}{2}$

Cancel: $\frac{2x}{2}$ because it will give you a outcome of $1$

Keep: $\frac{164}{2}$ because this will give you your answer

$Answer: x = 82$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

7 0

3 years ago