Answer:
m∠1 is calculated as 49°.
Step-by-step explanation:
Consider the angles are the interior angles of a triangle.
m∠A =91°
m∠B = 40°
m∠1 = ?
We know that the sum of interior angles of a triangle is 180°. So,
m∠A + m∠B + m∠1 = 180°
or, m∠1 = 180°- m∠A - m∠B
or, m∠1 = 180°- 91° - 40°
or, m∠1 = 49°
Hence, m∠1 = 49°.
Answer:
Volume of block Jennifer bought:
V = side^3 = 12 x 12 x 12 = 1728 (in3)
Volume of sphere Jennifer wanted to make:
V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)
a, The number of spheres she can make:
N = 1728/33.5 = 51.58 = ~51
b, The area of remaining clay after she made a sphere:
A = 1728 - 33.5 = 1694.5 (in3)
Hope this helps!
:)
Fyi area=pir^2 not 3r2
(oh, I see, you want to aprox pi=3, ok)
radius=4
3(4^2)=area
3(16)=area
48=area
answer is 48in^2
let's firstly convert the mixed fraction to improper fraction.