Answer:
No. It is an obtuse triangle.
Step-by-step explanation:
If c^2>a^2+b^2, then the triangle is obtuse. Since 24^2 + 7^2 is 625, and the square root of 625 is 25, that means 26>25. This proves that the triangle is obtuse.
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
Answer:
C
Step-by-step explanation:
Let's just look at the point G(3) = 3
this point only occurs through one equation which is
g(x) = (1/3)x^2
Red shirts and blue shirts equally count to his bonus, so he has 15 + 23 = 38 shirts sold at this moment. He needs to sell 75 shirts for the bonus. We subtract our goal from what he have; 75 - 38 = 37.
The strategy here: subtract the goal (75 shirts) from what you did to get to the goal (15 shirts and 23 shirts).
Nathan needs to sell 37 more shirts for the bonus. Hope this helps.
Answer:
x = 4√7
Step-by-step explanation:
You can use the pythagorean theorem which is a² + b² = c²
if you plug it in, it would be...
x² + 12² = 16²
x² + 144 = 256, subtract 144 to both sides
x² = 112, square root both sides to make x by itself.
x = 4√7
