9514 1404 393
Answer:
2/5, 7/15, 8/15, 3/5, 2/3
Step-by-step explanation:
If these fractions are expressed with a common denominator, that would be 3×5 = 15. Then the given fractions are 1/3 = 5/15, and 4/5 = 12/15. The numerators 5 and 12 differ by 7, so we can easily choose 5 fractions in that range:
6/15 = 2/5
7/15
8/15
9/15 = 3/5
10/15 = 2/3
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<em>Alternate solutions</em>
There is no requirement for the fractions to be written any particular way or with any particular spacing. The limits in decimal are 1/3 = 0.3333...(repeating) and 4/5 = 0.8. We could choose the decimal fractions ...
0.34, 0.40, 0.50, 0.60, 0.70
or
0.41, 0.52, 0.63, 0.74, 0.79
Answer:
h = 109.9 in
Step-by-step explanation:
The above question can be solved using trigonometric ratio formula,
tan θ = opposite/adjacent
tan θ = tan 70° ≈ 2.7475
opposite = height of lamppost = h in
Adjacent = 40 in
Thus,
Multiply both sides by 40 to solve for h
h = 109.9 inches
The height of the lamppost = h = 109.9 inches (to nearest tenth)
Answer:
The measure of all the three angles of the triangle are;
56°, 72° and 52°
Step-by-step explanation:
The given parameters are;
The measure of the exterior angle of the triangle = 124°
The measure of one of the opposite interior angle = 72°
Therefore, we have;
The measure of the interior angle adjacent to the exterior triangle = 180° - 124° = 56° (Sum of angles on a straight line)
From the sum of the interior angles in a triangle = 180°, we have;
The measure of the third interior angle of the triangle = 180° - 56° - 72° = 52°
Therefore, the measure of all the three angles of the triangle are;
56°, 72° and 52°.
Divide total bags by total hours:
30 bags / 3 hours = 10 bags per hour
576 is the answer, I think!!! Is it multiple choice?