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sashaice [31]
3 years ago
12

Question 3

Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

Area = 19.05 feet squared

Step-by-step explanation:

By applying sine rule in ΔABC,

sin(∠CAB) = \frac{\text{Opposite side }}{\text{Hypotenuse}}

sin(60°) = \frac{BC}{AC}

\frac{\sqrt{3}}{2}=\frac{BC}{4}

BC = 2√3

Area of a parallelogram is given by the formula,

Area = Base × Height

        = 5.5 × 2√3

        = 11√3

        = 19.05 ft²

Therefore, answer is Area = 19.05 ft squared.

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Solve the system of equations: 3x + 6y=6 and 2y - 3x = 6.
weeeeeb [17]

Answer:

x = -1, y = 1.5

Step-by-step explanation:

3x + 6y = 6 -----> x + 2y = 2

-3x + 2y = 6 -----> -3x + 2y = 6

------------------

4x = -4

x = -1, y = 1.5

7 0
2 years ago
The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be re
ValentinkaMS [17]

Answer:

0.9538

Step-by-step explanation:

The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:

Here the R^2 coefficient of determination, would be determined and applied the same

R^2 = 1 - SSE ÷ SST

= 1 - 123.97 ÷ 2685.9

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3 years ago
Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).
bonufazy [111]

9514 1404 393

Answer:

  a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.

  b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.

Step-by-step explanation:

1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.

__

2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.

4 0
3 years ago
If you knew that two angles were comlementary and were given the measure of one of those angles, would you be able to find the m
Mnenie [13.5K]

Answer:

Yes, any pair of complementary angles add up to 90 degrees. By simply using 90-x you can find the other angle.

3 0
3 years ago
Read 2 more answers
Find the measure of the indicated angle to the nearest degree
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

14) sin Ф = 32/33

    sin Ф = 0.9697

        Ф = 75.86°

15) sin Ф = 16/36

     sin Ф = 0.444

          Ф = 26.39°

16) sin Ф = 29/36

     sin Ф = 0.806

          Ф = 53.66°

17) cos Ф = 11/34

    cos Ф = 0.324

          Ф = 71.12°

18) sin Ф = 21/40

     sin Ф = 0.525

           Ф = 31.67°

19) cos Ф = 6/14

     cos Ф = 0.429

          Ф = 64.62°

20) cos Ф = 38/39

      cos Ф = 0.974

            Ф = 13°

3 0
3 years ago
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