Answer:
∠ABC = 54°
Step-by-step explanation:
an inscribed angle is 1/2 the size of an incenter angle.
so:
∠AMC = 2(∠ABC)
10x - 12 = 2(4x + 6)
10x - 12 = 8x + 12
simplify:
2x = 24
x = 12
∠ABC = 4(12) + 6 = 54°
5(3)+2=(3a+b)/2
34=3a+b
34-b=3a
(34-b)/3=a
Answer:
See below
Step-by-step explanation:
√120 is irrational since it cannot be written as a fraction
√36 is rational because it can be written as 6 or -6 which are both rational
7 is rational because it can be written as a fraction (ex. 7/1, 14/2, 21/3, etc.)
10 is rational because it can be written as a fraction (ex. 10/1, 20/2, 30/3, etc.)
148 is rational because it can be written as a fraction (ex. 148/1, 296/2, 444/3, etc.)
781 is rational because it can be written as a fraction (ex. 781/1, 1562/2, 2343/3, etc.)
we know that
Volume of the cone=(1/3)*pi*r²*h
where
r is the radius
h is the height
in this problem
diameter=x units--------> r=x/2 units
h=x units
so
Volume of the cone=(1/3)*pi*( x/2)²*x------>(1/12)*pi*x³ units³
the answer is
the volume of the cone, in cubic units is (1/12)*pi*x³ units³
The answer is 4
5(1/5) + (1/5)(15)
Multiply
5/1 • 1/5 = 1
1/5 • 15/1 = 3
Add
3 + 1 = 4
