Mathematics: Alicia can choose 2 of her 5 best friends to go with her to the amusement park. Her best friends are Connie, Dale, Eric, Finley, and Georgette. How many different pairs of 2 friends can she choose from the 5 ?

Alicia can choose 2 of her 5 best friends to go

FailingstudentXD

29.01.2022

Step-by-step explanation:

5/2= 2.5 ((or 2 1/2) (or 250%) any you prefer) But you can't get half a person to come in the amusement park so we round it down (2.5 → 2)

So the answer is 2

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thanitoast84

12.10.2021

Our equation is:

$\displaystyle \sin(40^\circ)=\frac{w}{120}$

Solving this yields that the width of the river is about 77 feet.

Step-by-step explanation:

Part A)

We know that McNeal is 120 feet from the tree. This is the hypotenuse.

And we want to find the width of the river, which is the side opposite from our angle.

Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:

$\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}$

Our angle is 40°.

The opposite side is unknown. We can let this be w to represent width.

The hypotenuse is 120 feet. Hence, our equation is:

$\displaystyle \sin(40^\circ)=\frac{w}{120}$

Part B)

Solve for w:

$w=120\sin(40^\circ)$

Use a calculator:

$w=77.1345...\approx 77\text{ feet}$

The width of the river is about 77 feet.

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