A system of equation is shown x=10. 3x + 5y =20 what is the solution
1 answer:
You might be interested in
Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.
Let's plug in our numbers and variable.
Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.
Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
Answer:
Ms. Thomas was driving at constant rate of 52 miles/hour.
Step-by-step explanation:
Given:
Total time to travel (t) = 45 minutes
Distance drove (d) = 39 miles
we need to find the constant rate in miles per hour at which she was driving.
Solution:
Now we know that;
We need to find constant rate at miles per hour;
But time is given in minutes.
So we will convert minutes into hour by dividing by 60 we get;
time
Now we know that;
Distance is equal to rate times time.
framing in equation form we get;
distance
Or
rate
Hence Ms. Thomas was driving at constant rate of 52 miles/hour.