Answer:
Step-by-step explanation:
Use the distance formula.
Answer:
2. Alex sent the questionnaire only to those who live near her.
Step-by-step explanation:
Given scenario is :
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood.
She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond.
We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
Hello,
To solve this system of equations, we want to add or subtract the equations so that either x or y cancels out.
We can multiply the first equation by -2, so that 5y will become -10y, and then add the equation with the second so -10y and 10y will cancel out.
Multiplying the first equation by -2, we get:
-4x - 10y = -30
Add this to the second equation and we get:
x = 5
So, we have x = 5. However, we should plug it into both equations to solve for y and make sure both answers check out.
Doing this for the first equation, we have:
2(5) + 5y = 15
10 + 5y = 15
Subtract 10 from both sides to get:
5y = 5
Divide by 5 on both sides to get:
y = 1
We will now see if x = 5 and y = 1 works for the second equation.
5x + 10y = 35
5(5) + 10(1) = 35
35 = 35, checks out
So, x = 5 and y = 1.
Option choice B is correct.
Hope this helps!
