Since 4pi/3 = 3pi/3 + pi/3 = pi + pi/3, that means it goes past the angle of pi (the negative x-axis), and an additional pi/3 radians. So this gives you a diagonal line that passes through the origin, from the third quadrant through to the first quadrant, and makes an angle of 60 degrees with the negative x-axis.
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Answer:
The least common denominator is 306.
Step-by-step explanation:
Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
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Answer:
D
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = lbh ( l is length, b breadth and h is height )
Here l = 7, b = 2 and h = 4 , thus
V = 7 × 2 × 4 = 56 in² → D