1 year ago

Assume the triangle has given measurements. solve for the remaining sides and angles.

Mathematics

1 answer:

katen-ka-za [31]1 year ago

3 0

Answer:

Step-by-step explanation:

You can calculate the length of side a using the Cosine Rule:

a^2 = 32.6^2 + 41.4^2 - 2.32.6.42.4 cos pi/6

a^2 = 456.01

a = √456.01

a = 21.35

By the Sine Rule:

32.6 / sin B = 21.35 / sin pi/6

sin B = (32.6 * sin pi/6) / 21.35

sin B = 0.76347

B = 0.869 radians.

C = pi - pi/6 - 0.869 = 1.749 radians.

You might be interested in

Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than

lozanna [386]

Answer:

<h2>Second choice.</h2>

Step-by-step explanation:

The given inequality is

$-\frac{1}{2}x \geq 4$

Let's solve for $x$

$x\leq -4(2)\\x\leq -8$

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.

Therefore, the second choice represents the solution to the given inequality.

4 0

2 years ago

Read 2 more answers

Find the indicated values: <br> Given: OA=AC=2<br> AB is a tangent line<br> Find: AB

nlexa [21]

Step-by-step explanation:

OA=AC=OC=2 (equal triangle)

which means angle O =60 degree

tan 60 = AB / 2

AB = 2 tan 60 =

$2 \sqrt{3}$

3 0

1 year ago

In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 e

sergij07 [2.7K]

Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

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

The function is given by:

$f(x) = \sqrt{x^2 + 2x - 15}$

The graph is given at the end of this question.

If the function is pointing upwards, it is increasing. Otherwise, it is decreasing.
In the graph, it can be seen that it is pointing upwards for x of -5 and less, or 3 and higher, thus, the interval is:

(–∞, –5] ∪ [3, ∞)

A similar problem is given at brainly.com/question/13539822