5m+2(m+8)+3
5m+2m+16+3
7m+19
Jace made 3 three pointers and 6 free throws.
3(3) + 6(1) = 15
Free throws = f
Three pointers = t
t(2) = f
t + f = 15
Answer:
24 cubic inches
Step-by-step explanation:
The formulas for the volume of a cylinder and cone are ...
volume of a cylinder = πr^2·h
volume of a cone = (1/3)πr^2·h
For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...
(1/3)·(72 cubic inches) = 24 cubic inches
Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer:
x=4
Step-by-step explanation:
AB + BC = AC
AB= 6x, BC= x-5, AC= 23
Substituting what we know
6x + x-5 = 23
Combine like terms
7x -5 = 23
Add 5 to each side
7x-5+5 =23+5
7x = 28
Divide each side by 7
7x/7 = 28/7
x=4
