Find the Measure of side C

What has two fewer sides then a heptagon

vodka [1.7K]

A pentagon has 5 sides and 5 angles

6 0

4 years ago

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How Do I Solve 3/2y= 16/y+2

IceJOKER [234]

$\frac{3}{2y}=\frac{16}{y+2}\ \ \ \ \ \ |cross\ multiply\\\\16\times2y=3(y+2)\\\\32y=3y+6\ \ \ \ \ |subtract\ 3y\ from\ both\ sides\\\\29y=6\ \ \ \ \ \ \ |divide\ both\ sides\ by\ 29\\\\\boxed{y=\frac{6}{29}}$

7 0

3 years ago

Cos(theta) = - 3/4 and is in the 3rd quadrant, find the following:

elena-14-01-66 [18.8K]

Answer:

$\begin{gathered} sin(\theta)=\frac{-\sqrt{7}}{4} \\ cos(\theta)=-\frac{3}{4} \\ tan(\theta)=\frac{\sqrt{7}}{3} \\ csc(\theta)=-\frac{4}{\sqrt{7}} \\ sec(\theta)=-\frac{4}{3} \\ cot(\theta)=\frac{3}{\sqrt{7}} \end{gathered}$

Step-by-step explanation:

If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:

Solve for the missing leg of the triangle, using the Pythagorean theorem:

$\begin{gathered} \text{ adjacent}^2+\text{ opposite}^2=\text{ hypotenuse}^2 \\ -3^2+\text{ opposite}^2=4^2 \\ \text{ opposite=}\sqrt{16-9} \\ \text{ opposite=}\sqrt{7} \end{gathered}$

Therefore, for the trigonometric relationships:

$\begin{gathered} \text{ sin\lparen}\theta)=\frac{opposite}{hypotenuse} \\ \text{ cos\lparen}\theta)=\frac{adjacent}{hypotenuse} \\ tan(\theta)=\frac{opposite}{adjacent} \\ csc(\theta)=\frac{hypotenuse}{opposite} \\ sec(\theta)=\frac{hypotenuse}{adjacent} \\ cot(\theta)=\frac{adjacent}{opposite} \end{gathered}$

Now, substitute and solve for the relations:

$\begin{gathered} sin(\theta)=\frac{-\sqrt{7}}{4} \\ cos(\theta)=-\frac{3}{4} \\ tan(\theta)=\frac{\sqrt{7}}{3} \\ csc(\theta)=-\frac{4}{\sqrt{7}} \\ sec(\theta)=-\frac{4}{3} \\ cot(\theta)=\frac{3}{\sqrt{7}} \end{gathered}$

7 0

1 year ago

How can you convert between Percent, Fraction, and Decimal?

nikdorinn [45]

Ex. 1/10 = .10 =10%
10% = .10 = 10/100 = 1/10

8 0

3 years ago

Given a profit equation of P = -100p^2 + 21850p - 800000, determine the maximum profit, P to the nearest cent.

Ratling [72]

Answer:it is D

Step-by-step explanation:

7 0

3 years ago