We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.
We will use arc length formula to solve our given problem.
, where,
r = Radius of circle,
= Central angle corresponding to arc.
We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.







Upon rounding to nearest hundredth, we will get:

Therefore, the radius of circle H is approximately 63.88 miles.
Answer:
Pretty sure it's 29
Step-by-step explanation:
The triangle has to be 180 degrees so 15+36=51 180-51=29
Answer:
The approximate area of the cross section passing through the diagonals of opposite faces of this cube is:
- C. <u>35 square centimeters</u>.
Step-by-step explanation:
When you think in the cross section passing through the diagonals of opposite faces of the cube given, you can see that it's a rectangle with long = 7 centimeters and wide = 5 centimeters ( the measure of an edge of the cube), having this, you can calculate the area:
- Area of a rectangle = long * wide
- Area of a rectangle = 7 cm * 5 cm
- <u>Area of a rectangle = 35 cm^2 or 35 square centimeters</u>
Answer:
C 7ft/yr
Step-by-step explanation:
The given points are not all on the same line, so the average will vary depending on the interval of interest.
Over the interval [1, 11] years, the average rate of change of height is ...
change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr
__
On the interval [11, 15] years, the average rate of change is ...
(105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr
Even on this interval, the closest answer choice is C.
Answer:
The height of the pyramid is 
Step-by-step explanation:
we know that
The volume of the pyramid is equal to

where B is the area of the base of the pyramid
h is the height of the pyramid
we have

----> the area of the base is the area of a rectangle
substitute the values in the formula and solve for h

