Answer:
Step-by-step explanation:
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³
Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height
8) Cone:
r = 5 in ; volume = 487 in³
Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
5w + 8 - w = 6w - 2(w -4).
Let's reduce the equation on the left:
4w + 8; (1)
and now let's reduce the equation on the right
6w - 2w +8 = 4w +8 (2).
We notice that (1) ≈ (2), and this is the only IDENTITY
Answer:
11
Step-by-step explanation:
mode is the number that is most frequent
11
1 Expand
1.4t-0.4t+1.24=5.8
2 Simplify 1.4t-0.4t+1.241.4t−0.4t+1.24 to t+1.24t+1.24
t+1.24=5.8
3 Subtract 1.241.24 from both sides
t=5.8−1.24
4 Simplify 5.8-1.245.8−1.24 to 4.564.56
t=4.56
