Answer:
- b = 15
- c = 51
- c = 100
- b = 25.75
Step-by-step explanation:
Using the Pythagoras theorem equation:

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.
1) Here c = 17, a = 8 and b = ?
Then, using the above equation we can find the side b.


2) Here a = 24, b = 45 and c = ?

3) Here a = 28, b = 96 and c = ?
4) Here a = 17, b = ? and c = 28

Just in the 4 case x is an altitude.
I hope it helps you!
Answer:
6 hours 30 minutes
Step-by-step explanation:
morning work=3 hours 45 minutes
afternoon work=2 hours 45 minutes
total hours=?
Here,
3 hours 45 minutes+2 hours 45 minutes
=6 hours 30 minutes
Therefore,Terry Baelett worked 6hours 30 minutes a day.
<span>A is the correct answer. In geometry, postulate is something that is assumed to be true without proof being given. In contrast, a theorem is a true statement which can be proven. A definition defines or explains what a term means. Statement one is a definition of perpendicular lines and statement two can be proven. </span>
The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.


So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.


Rounding this off to the nearest hundredth, we get x = 8.80 m.
Answer:
-3 or decreasing by 3
Step-by-step explanation:
To find the average change, you only care about the first and last point which would be (3,17) and (8,2)
the overall change during that time is 2-17=-15 (for the f(x) side )
the overall change during that time is 8-3=5(for the x side)
all we have to do is -15/5=-3
therefore the average rate of change is -3