Answer:
1 : 12 . . . . sketches : minutes
Step-by-step explanation:
We know 1 hour is 60 minutes, so the given numbers can be written as ...
5 sketches : 60 minutes
and reduced by dividing by 5 to get the ratio ...
sketches : minutes = 1 : 12
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Answer:
arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)
Step-by-step explanation:
Begin by finding the circumference of the circle. Use the formula:
C = 2rπ
C = 2(9)π
C = 18π.
Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:
Cross multiply:
50 · 18π = 360x
900π = 360x
Divide both sides by 360:
x = 2.5π in, or ≈7.85 in.
Answer:
u = ± 4
Step-by-step explanation:
Given
u² = 16 ( take the square root of both sides )
u = ± 
= ± 4
u = - 4, u = 4
Answer:
Step-by-step explanation:
9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)
-8.8 + 2.2(1.9x) = 0.66x - 2.64
-8.8 + 4.18x = 0.66x - 2.64
4.18x - 0.66x = 8.8 - 2.64
3.52x = 6.16
x = 1.75
10). 3.2(1 + 2.6x) = 2.4(x - 3.6)
3.2 + 8.32x = 2.4x - 8.64
8.32x - 2.4x = -3.2 - 8.64
5.92x = -11.84
x = 2
11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)
9.2x - 25.3 = 3.9 + 0.8 + 4.4x
9.2x - 25.3 = 4.7 + 4.4x
9.2x - 4.4x = 25.3 + 4.7
4.8x = 30
x = 6.25
12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)
0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10
0.6x - 4.4 = -2.2x + 15.90
0.6x + 2.2x = 15.90 + 4.4
2.8x = 20.30
x = 7.25
