Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Her is your answer 3% of the sales is $180
If the sales is called 's' we can write an equation to model the statement 3% of the sales is $180:
The amount of sales is $6,000.
Your final answer is $6,000 in sales.
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
brainly.com/question/11897796
Answer:
30
Step-by-step explanation:
(-) (-) = +
Therefore 15 - (-15) = 15 + 15 = 30
Answer:
-15
Step-by-step explanation:
g(x) = 3x + 3
Let x = -6
g(-6) = 3*-6 + 3
= -18 +3
= -15
