90. The measure of an inscribed angle is half of that of the measure of its arc, and the measure of the angle corresponding with arc a is 45. 45*2 is 90, so 90 is the measure of arc a.
Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or, = length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²) = 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w =
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer
Answer:
Step-by-step explanation:
Answer:
V = 21145.01 mm³
Step-by-step explanation:
Given that:
The radius of the gumball = 30 mm
The radius of the spherical hollow-core = 28 mm
Consider the radius of the gumball to be and the radius of the spherical hollow-core to be . Then;
The volume of the gumball can be determined by using the formula of a sphere.
V = 21145.01 mm³
Sqrt of 125
10^2 +b^2= 15^2
100 +b^2=225
B^2=125
No perfect square for 125 so leave it in radical form