Answer:
82 degrees
Step-by-step explanation:
Measure of arc ABC = 86*2 = 172 degrees.
Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.
Measure of arc BCD = 121+43 = 164 degrees.
Measure of angle A = 164/2 = 82 degrees
If the decimal is in the tenths then the denominator would be like 10. Ex: Decimal: 0.2 Fraction- 2/10. and the same with hundredths, thousandths, etc.
<span>M can have a coordinate of (-9) or (1)
There are potentially 3 different places for point M to go. It can be placed to the left of point A, between points A and B, and to the right of point B. Let's check those three possibilities.
1. Left of point A. This works if the distance between M and A is the same as the distance between A and B. So
distance between A and B = 6 - (-1.5) = 6 + 1.5 = 7.5
So the location for M would be
-1.5 - 7.5 = -9
So point M can have the value of -9.
2. Between A and B.
This would also work. Since we want a 1:2 ratio, place M one third of the way from A to B. Since we already know the distance between A and B to be 7.5, that means that we should add 7.5/3 = 2.5 to the value of A. So
-1.5 + 2.5 = 1
So point M can also have the value of 1.
3. To the right of point B
This won't work. Point B will always be closer to M than point A will be. So it's impossible to get a ratio of 1:2.</span>
We have:
Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm
We know the formula to find volume of cone is

We need to find the radius of the base of the cone





to the nearest one decimal place
The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm