Answer:
All angles in a triangle sum up to 180 degrees.
So, 63+71+x=180 degrees.
You add like terms: 134, and then add x.
134+x=180 degrees.
Minus x from both sides.
180-134=x.
What do you think x is?
The smallest number of pens he can buy is 4 packages
Answer:
250
Step-by-step explanation:
Answer:
HJ = 5.20
HI = 3
angle J = 30 degrees
Step-by-step explanation:
sin 60 = HJ/6
HJ = 5.20
cos 60 = HI/6
HI = 3
angle J = 90-60 = 30 degrees
The answer is 200 cm³
The volume of the rectangular prism (V1) is:
V1 = l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³
The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³
The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
