Step-by-step explanation:
A1= area of the rectangle
A1= 4yd • 10yd
A1= 40 square yd
A2= area of the part of the circular section
A2= 180°• pi • 4 square yd/360°
A2= 180° • 16yd • pi/ 360°
A2= 16yd•pi/2
A2= 8yd•pi
A2= 25,12yd
A= areo of rhe shaded portion
A= A1-A2
A= 40yd-25,12yd
A= 14,88yd
Some parallelograms have 2 obtuse and 2 acute angles.
Parallelograms may have all 90 degree angles as well. These are also called rectangles.
When you "bend" a rectangle it naturally forms 2 acute and 2 obtuse angles.
Answer:
i = h + 
Step-by-step explanation:
+ i = h
Taking to the other side, you have:
i = h +
Each cube has an edge length of 1/2 inch
V = 1/2 * 1/2 * 1/2
V = 1/8 cu in
There are 1120 of these cubes so the volume of the prism is 1/8 * 1120 = 140 cubic inches.
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
how long will it take the projectile to hit the ground ?