Mathematics

Referring to the figure, complete the proportion (what is_x000D_
the numerator showing as a question mark):_x000D_
    x    ?_x000D_
    — = ——_x000D_
    8   16_x000D_

2 Answer:

    Solve for x in problem #1._x000D_
3 Answer:

    Referring to the figure, complete the proportion (what is_x000D_
the denominator showing as a question mark):_x000D_
    4   x_x000D_
    — = —_x000D_
    x   ?_x000D_

4 Answer:

    Solve for x in problem #3._x000D_
5 Answer:

    Referring to the figure, complete the proportion (what is_x000D_
the numerator showing as a question mark):_x000D_
    ?   x_x000D_
    — = —_x000D_
    x   3_x000D_

6 Answer:

    Solve for x in problem #5._x000D_
7 Answer:

    Referring to the figure, on the right triangle shown, find the_x000D_
unknown side length. (If necessary, round to the nearest tenth.)_x000D_

8 Answer:

    Referring to the figure, on the right triangle shown, find the_x000D_
unknown side length. (If necessary, round to the neartest tenth.)_x000D_

9 Answer:

    Referring to the figure, on the right triangle shown, find the_x000D_
unknown side length. (If necessary, round to the neartest tenth.)_x000D_

10 Answer:

    Classify the triangle formed by the given side lengths:_x000D_
    6, 8, 10_x000D_
    a. right triangle_x000D_
    b. acute triangle_x000D_
    c. obtuse triangle_x000D_
    d. not a triangle_x000D_
11 Answer:

    Classify the triangle formed by the given side lengths:_x000D_
    3, 4, 6_x000D_
    a. right triangle_x000D_
    b. acute triangle_x000D_
    c. obtuse triangle_x000D_
    d. not a triangle_x000D_
12 Answer:

    Classify the triangle formed by the given side lengths:_x000D_
    6, 2, 5_x000D_
    a. right triangle_x000D_
    b. acute triangle_x000D_
    c. obtuse triangle_x000D_
    d. not a triangle_x000D_
13 Answer:

    Classify the triangle formed by the given side lengths:_x000D_
    5.4, 3.8, 6.5_x000D_
    a. right triangle_x000D_
    b. acute triangle_x000D_
    c. obtuse triangle_x000D_
    d. not a triangle_x000D_
14 Answer:

    Classify the triangle formed by the given side lengths:_x000D_
    1, 2, 3_x000D_
    a. right triangle_x000D_
    b. acute triangle_x000D_
    c. obtuse triangle_x000D_
    d. not a triangle_x000D_
15 Answer:

    Classify the triangle formed by the given side lengths:_x000D_
    1.6, 3.0, 3.4_x000D_
    a. right triangle_x000D_
    b. acute triangle_x000D_
    c. obtuse triangle_x000D_
    d. not a triangle_x000D_
16 Answer:

    Referring to the figure, find the value of x._x000D_
    (Hint:  Use the Theorems about special right triangles and write_x000D_
     the answer in simplest radical form.)_x000D_

17 Answer:

    Referring to the Fig. in Question #16, find the value of y._x000D_
    (Hint:  Use the Theorems about special right triangles and write_x000D_
     the answer in simplest radical form.)_x000D_
18 Answer:

    Referring to the figure, find the value of a._x000D_
    (Hint:  Use the Theorems about special right triangles and write_x000D_
     the answer in simplest radical form.)_x000D_

19 Answer:

    Referring to the Fig. in Question #18, find the value of b._x000D_
    (Hint:  Use the Theorems about special right triangles and write_x000D_
     the answer in simplest radical form.)_x000D_
20 Answer:

    Referring to the figure, find the value of m._x000D_
    (Hint:  Use the Theorems about special right triangles and write_x000D_
     the answer in simplest radical form.)_x000D_

21 Answer:

    Referring to the Fig. in Question #20, find the value of n._x000D_
    (Hint:  Use the Theorems about special right triangles and write_x000D_
     the answer in simplest radical form.)     _x000D_
22 Answer:

    Referring to the figure, find the sine of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_

23 Answer:

    Referring to the Fig. in Question #22, find the cosine of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_
24 Answer:

    Referring to the Fig. in Question #22, find the tangent of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_
25 Answer:

    Referring to the figure, find the sine of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_

26 Answer:

    Referring to the Fig. in Question #25, find the cosine of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_
27 Answer:

    Referring to the Fig. in Question #25, find the tangent of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_
28 Answer:

    Referring to the figure, find the sine of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_

29 Answer:

    Referring to the Fig. in Question #28, find the cosine of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_
30 Answer:

    Referring to the Fig. in Question #28, find the tangent of angle A._x000D_
Express the value as a decimal rounded to four places._x000D_
31 Answer:

    Referring to the figure, use trigonometric ratios to find the _x000D_
value of x.  Round decimals to the nearest tenth._x000D_

32 Answer:

    Referring to the figure, use trigonometric ratios to find the _x000D_
value of x.  Round decimals to the nearest tenth._x000D_

33 Answer:

    The distance of the base of a ladder from the wall it leans against_x000D_
should be at least 1/4 of the ladder's total length. Suppose a 10 foot_x000D_
ladder is placed according to these guidelines. Give the minimum _x000D_
distance of the base of the ladder from the wall. _x000D_
34 Answer:

    Referring to the ladder in problem 33, how far up the wall will the_x000D_
ladder reach?
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