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2 years ago

Which equations could be used to solve for the unknown lengths of △ABC? Check all that apply.

Mathematics

2 answers:

DanielleElmas [232]2 years ago

8 0

Answer:

Step-by-step explanation:

Brums [2.3K]2 years ago

3 0

Answer:

sin(45°)= AC/9

cos(45°)= BC/9

Step-by-step explanation:

This is a right angle triangle:

∠ABC =∠CAB = 45°

Now

AC= CB

AB = 9 units.

We will apply sines:

sine(45°)= AC/AB

We know that AB = 9 units.

So substitute the value of side AB

sin(45°)= AC/9

Now apply cos(45°)

cos(45°)= BC/AB

Again substitute the value of AB:

cos(45°)= BC/9

Thus the answer is

sin(45°)= AC/9

cos(45°)= BC/9 ....

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Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so $\mu = 49.9, \sigma = 3.74$ .

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Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when $Z = 1.04, \mu = 49.9, \sigma = 3.74$ .

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$1.04 = \frac{X - 49.9}{3.74}$

$X - 49.9 = 3.8896$

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