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2 years ago

What is the length of side BC of the triangle? Enter your answer in the box.

Mathematics

1 answer:

madreJ [45]2 years ago

7 0

Hence, the value of x=8

Mark brainliest please

Hope this helps you

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

2 years ago

Stella bought a dinette set on sale for $725. The original price was $1,299. To the nearest tenth of a percent, what was the rat

kifflom [539]

Answer:

40%

Step-by-step explanation:

1299-725= 574

574/1299 x 100 = 44.19%

8 0

2 years ago

Find the LCM<br> of 9 and 27.

Mnenie [13.5K]

Answer:

Step-by-step explanation:

The answer is 27, because 9 x 3 = 27 and the smallest number that is the same is 27.

Hope this helps!

6 0

2 years ago

Read 2 more answers

Change the equation x^2+8x+y^2-12y=12 to graphing form

andriy [413]

The radius is 8

Im not sure if this is what your looking for

6 0

2 years ago

You buy a shirt for $25 and sales tax is 4.1

Slav-nsk [51]

Answer:

I think $26.03

Step-by-step explanation:

4.1% of $25 is 1.03 ( I rounded it)

so 1.03 is the sales tax.

$25.00 + $1.03 = 26.03

5 0

3 years ago