2 years ago

Use the triangle below to find the following trig ratios. Express your answer as a fraction.

Mathematics

1 answer:

Luda [366]2 years ago

5 0

Answer:

Step-by-step explanation:

First we need the length of the hypotenuse.

20^2 + 21^2 = c^2

400 + 441 = c^2

841 = c^2

29 = c

If you are using angle B as your theta (angle from which the relations are formed:

a) sin = O/H = 20/29

b) cos = A/H = 21/29

c) tan = O/A = 20/21

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balu736 [363]

Answer:

the answers are options 1, 2, and 5.

3 0

3 years ago

3. Given that a is 30% of b, find the value of a/4b

Karolina [17]

Answer:

a/4b = 0.075

Step-by-step explanation:

a = 30% of b

a = 30/100 × b

a = 0.3b

The value of a/4b is calculated as:

= 0.3b/4b

= 0.075

6 0

2 years ago

Find the distance between the points given. (0,6) and (5,12)

Elan Coil [88]

$d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}} \\d = \sqrt{(5 - 0)^{2} + (12 - 6)^{2}} \\d = \sqrt{(5)^{2} + (6)^{2}} \\d = \sqrt{25 + 36} \\d = \sqrt{61} \\d = 7.8 \\\\(x - h)^{2} + (y - k)^{2} = r^{2} \\(x - 5)^{2} + (y - 6)^{2} = 7.8^{2} \\(x - 5)^{2} + (y - 6)^{2} = 61 \\(h, k) = (5, 6)$