What is the measure of each interior angle in a regular 30-gon?

1 answer:

5 0

Exterior angles always add up to 360 degrees so for 30-gon each exterior angles is 12 degrees (360/30)

To get the interior angles you subtract 180 from 12 to get 168 degrees

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Describe how to find the sums -4 + 2 and -4 + -2 on a number line

xz_007 [3.2K]

For number 1, you start at zero and go to the left since the four is negative four spaces. Then, you go to the right two spaces since the 2 is positive. Your answer is -2

For number 2, you start at zero and go left four spaces since it is negative and then go two more spaces to the left because it is negative again

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3 years ago

Jace invested $8,300 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals

kondor19780726 [428]

Answer:

$20911

Step-by-step explanation:

<u>Given</u>

Investment P₀ = $8300
Interest rate r = 6.6%
Compound = continuous
Time t=14 years
P = ?

<u>Formula for continuous compound interest:</u>

P = P₀e ^rt, where e = 2.71828, constant used for continuous interest
P = 8300*(2.71828)^(14*0.066)
P = $20910.57 = $20911 rounded to the nearest dollar

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3 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form $a\cdot x^{2} + b\cdot x + c = 0$ , $\forall \,x \in\mathbb{R}$ . The procedure is presented below:

1) $a\cdot x^{2} + b\cdot x + c = 0$ (Given)

2) $a\cdot x^{2} + b \cdot x = -c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

3) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c$ (Compatibility with multiplication)

4) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c$ (Compatibility with addition/Existence of additive inverse/Modulative property)