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djyliett [7]
2 years ago
13

The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? What is the solu

tion of each proportion?
Mathematics
2 answers:
rodikova [14]2 years ago
6 0
STEPS:

1) Use x as a variable.

2) since they are complementary angles:
           1x + 5x = 90

3) Solve for x:
         6x = 90
           x = 15


4) Substitute into "1x" and "5x" to find the measures of the two angles.

      * 1x
        1(15)
        15

* 5x
   5(15)
   75

So the measures of the angles you're looking for are: 15 degrees and 75 degrees
ser-zykov [4K]2 years ago
3 0
Ratio 1:5....added = 6
complimentary angles, when added, = 90 degrees

1/6(90) = 90/6 = 15
5/6(90) = 450/6 = 75

so ur 2 angles are : 15 and 75
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Answer:

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Step-by-step explanation:

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Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after t seconds is x=1.5 t

Since the well is 80 ft deep, the time to pull out the bucket is \frac{80}{2}=40 \mathrm{~s}

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Since the displacement and the force are in the same direction, we can write

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Use x=1.5 t and F=42-0.15 t

W=\int_{0}^{36}(42-0.15 t)(1.5 d t)

=\int_{0}^{36} 63-0.225 t d t

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=\left[63 t-0.2 t^{2}\right]_{0}^{36}

W=3200 \mathrm{ft} \cdot \mathrm{lb}

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