Algebra 2 Question, tagged in the link

Please answer ASAP. The question is down below.

zheka24 [161]

Answer: 1) c 2) a 3) d

Step-by-step explanation:

$\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\$

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Reference angle is the angle measurement from the x-axis. There is no such thing as a negative reference angle.

-183° is 3° from the x-axis so the reference angle is $\large\boxed{3^o}$

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Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.

To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ I

7 0

3 years ago

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t

PIT_PIT [208]

The probability of having a 17 is the number of ways of having 17 divided by the number of different possible outcomes.

Ways of having 17:

Die 1 Die 2 Die 3 sum
6    6    5 6+6+5 = 17
6    5    6     6+5+6 = 17
5    6    6     5+6+6 = 17

Those are the only 3 possibilities of having 17 (you can only loose 1 point).

The total number of outcomes are 6*6*6 = 216

So the chances (probability) to win is 3 / 216 = 1/72 = 0.0139

8 0

3 years ago

What’s the greatest common factor of 12x^2+9x^3-6x^4

VikaD [51]

$12x^2+9x^3-6x^4\\\\LCD(12,\ 9,\ 6)=3\\\\LCD(x^2,\ x^3,\ x^4)=x^2\\\\12x^2=(3x^2)(4)\\9x^3=(3x^2)(3x)\\-6x^4=(3x^2)(-2x^2)\\\\GCF\ of\ 12x^2+9x^3-6x^4\ is\ equal\ \boxed{3x^2}\\\\12x^2+9x^3-6x^4=(3x^2)(4+3x-2x^2)$

7 0

2 years ago

The simple interest on a sum of money invested for 6 months at 5% per annum is $1680. Find the amount of money invested

olga55 [171]

9514 1404 393

Answer:

$67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

P = $67,200

The amount invested was $67,200.

3 0

3 years ago

A scale factor of less than one means

podryga [215]

Answer:

The sides get smaller

Step-by-step explanation:

Because anything times 1 gets smaller and it's no different for scale factor

8 0

3 years ago

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