Answer:
Answer Placeholder (I'm going to solve it and answer when I'm done)
Step-by-step explanation:
<u>Answer:</u>
5.65 cm
<u>Step-by-step explanation:</u>
We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.
For this, we will use the Pythagoras Theorem:

where
is the hypotenuse.



Therefore, the length of the hypotenuse is 5.65 cm.
Answer:
Problem 9: -1/2
Problem 10: 1/5
Step-by-step explanation:
Problem 10: Label the given ln e^(1/5) as y = ln e^(1/5).
Write the identity e = e. Raise the first e to the power y and the second e to the power 1/5 (note that ln e^(1/5) = 1/5). Thus, we have:
e^y = e^(1/5), so that y = 1/5 (answer).
Problem 9: Let y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) 1 /2
Write out the obvious:
4 = 4
Raise the first 4 to the power y and raise the second 4 to the power (log to the base 4 of) 1 /2. This results in:
4^y = 1/2. Solve this for y.
Note that 4^(1/2) = 2, so that 4^(-1/2) = 1/2
Thus, y = -1/2
Answer:
The correct answer is 9x + 7 y
147 where Ashley works for x hours as lawn mower and y hours as babysitter per week.
Step-by-step explanation:
Ashley works in two different jobs namely mowing lawns and babysitting.
Let Ashley mow lawn for x hours and babysit for y hours in a week.
Ashley's earning for every hour she mow is $ 9. Total earning mowing lawn is $ 9x.
Ashley earns $7 for every hour she babysit. Total earning babysitting is $ 7y.
Total earning per week $ (9x + 7y).
Ashley's earning per week is at least $147.
∴ The required inequality to describe the above case is 9x + 7 y
147.
If you want to inscribe a polygon inside a circle, you have a formula that doesn't have to use the apothem. The formula is:
A = (nr²/2)sin(360/n)
Since the polygon is a hexagon, it has 6 sides. Thus, n = 6. Knowing the area, we can determine the radius of the circle, r.
166.28 = (6r²/2)sin(360/6)
r = 8 inches
Thus, the radius of the circle is 8 inches.