Find the sum 9/16+10/13

Math question please help <br> If you get this right I will mark you as a brainliest

AleksandrR [38]

When given a problem like this, drawing a picture helps *A LOT*. Unfortunately, with only a text box, it's hard to show it.

But what we are given are distances between three points, A to B, B to C and A to C. When put together these make three sides (or SSS). To solve this triangle we need to use the Law of Cosines to find one angle then either the Law of Cosines or the Law of sines for as second angle. The third angle comes from subtracting the sum of the two from 180.

Let's try to find the angle between AB and BC - or angle B.

By the Law of Cosines,

cos B = AB² + BC² - AC² / 2(AB)(BC)

= 36.318² + 37.674² - 11.164² / 2(36.318)(37.674)

= 1318.997 + 1419.330 - 124.634 / 2736.489

= 2613.693 / 2736.489

= 0.95512

Through a calculator's inverse cosine (cos⁻¹) key, we have the angle as 17.229 degrees. Thus, angle B is 17.229 degrees.

To find another of the angles, we can use the Law of Sines or the Law of Cosines. The choice is yours, but let's use Law of Cosines a second time. We will use it to find angle A.

cos A = BA² + AC² - BC² / 2(BA)(AC) Notice by writing AB as BA, it tells us to make BA and AC the sides including angle A.

cos A = 36.318² + 11.164² - 37.674² / 2(36.318)(11.164)

cos A = 1318.997 + 124.634 - 1419.330 / 810.908

cos A = 24.301 / 810.908

cos A = 0.029968

Again, by a calculator's inverse cosine key, the measure of angle A is 88.28267 degrees.

Since the sum of the angles of any triangle is 180 degrees, we can find angle C by subtracting our two found angles from it.

angle A + angle B + angle C = 180

angle C = 180 - angle A - angle B by subtracting Angles A and B on both sides

angle C = 180 - 88.28267 - 17.229

angle C = 74.48833

We put these angles together - A being 88, B being 17, C being 74, and select choice A to solve the triangle.

6 0

4 years ago

James is 10 feet below sea level if he increases his elevation by 30 feet what is his location?

puteri [66]

His location would be 20 feet above the sea level because...

30+-10= 20 because adding a negative to a positive is basically like subtracting.

Can have a brainliest answer now please?

8 0

3 years ago

find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 in

soldi70 [24.7K]

Answer:

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with

Mean diameter = μ = 8 inches

Standard deviation = σ = 2.5 inches

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)