Answer:
x =
= 10.8
Step-by-step explanation:
Both problems are done the same way. I will do the first one and you do the second one. OK?
Move the radius x to make a right triangle. The 6 unit segment bisects the chord. So, the legs of the right triangle are 6 and 9
The use the Pythagorean theorem to find x, which is the hypotenuse of the right triangle. Now,

= 10.8
None of the answer choices are to the nearest tenth. So, I am confused about that.
In the second problem, the answer should be 11.2
Answer:
Step-by-step explanation:
Answer:
The area of a circle is given by the formula
area=πr2
we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:
r=diameter
2r=362
r=18
By substituting these values to the formula of a circle, we now have:
area= (3.14 ) (18) 2
area=1017.36
But since the window is a semicircle, the area will have to be divided in half, therefore,
area of a semicircle =1017.362
area of a semicircle = 508.68
Thus the window's area is equal to 508.68 sq in.
Use the Pythagorean theorem a^2 + b^2 = c^2
45^2 + 80^2 = c^2
2025 + 6400 = c^2
c^2 = 8425
c = √8425
c = 91.787
Rounded to the nearest foot = 92 feet
Answer:
Volume of the gift box =
Step-by-step explanation:
The gift box is in the shape of a cuboid, that has the given dimensions:

Volume of the Box:

The volume of the gift box is 