Blue: 6/20 or 1/5
Red: 3/20
Yellow: 2/20 or 1/10
Hope this helps
Answer:
v = 124 cm³
Step-by-step explanation:
The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,
v = a³
v = 4³
v = 64
Now, for the rectangular prism.
v = l · w · h
v = 10 · 3 · 2
v = 60
Now, for the total collective volume, simply add up the volumes of the independent shapes.
64 + 60 = 124 cm³
3.1
the number of trucks reading horizontally from the vertical scale is
2 + 2 + 3 + 3 + 3 + 4 + 5 = 22
average number of trucks =
= 3.1 ( to 1 dec. place)
Answer and Step-by-step explanation:
C1) (x-1)²+(y+2)²=1 C1 (1,-2) R1 = √1 = 1
C2) (x+5)²+(y-4)²=4 C2 (-5,4) R2 = √4 = 2
DISTANCE FORMULA: d² = (y₂-y₁)²+(x₁-x₂)²
calculating the distances between the 2 center:
d² = (4-(-2))²+(-5-1)² = (6)²+(-6)² = 36 + 36 = 72 ⇒ d = √72
√72 ≈ 8.49
R1 = 1 and R2 = 2
If the circles were secants, d would be < than R1 + R2.
If the circles were tangent, d would be = to R1 + R2
As d > than R1 + R2, we know that the circles do not intercept.