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Lorico [155]
2 years ago
10

(help) what type of triangle is shown below

Mathematics
1 answer:
GaryK [48]2 years ago
7 0
Pretty sure it’s obtuse !
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What is the following quotient?
seropon [69]

Answer:  Choice B) \frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\

==========================================

Work Shown:

\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\

This shows why choice B is the answer.

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

Explanation:

  • In the second step, I multiplied top and bottom by (\sqrt{11}+\sqrt{3})
  • This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
  • In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is \sqrt{a}-\sqrt{b} and you want to rationalize the denominator, then you should multiply top and bottom by \sqrt{a}+\sqrt{b}. The same applies in reverse as well.

This leads to the denominator becoming (\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b

Keep in mind that a \ge 0 and b \ge 0

4 0
2 years ago
Please Evaluate C(6,3)
patriot [66]

The value of the expression C(6,3) is 20

<h3>How to evaluate the expression?</h3>

The expression is given as:

C(6, 3)

This means 6 combination 3.

And it can be written as:

^6C_3

Apply the combination formula

^6C_3 = \frac{6!}{3!3!}

Evaluate the expression

^6C_3 = 20

Hence, the value of the expression C(6,3) is 20

Read more about combination at:

brainly.com/question/11732255

#SPJ1

5 0
2 years ago
Find the percent using the percent equation.<br> 238 cartons is what percent of 68 ​cartons?
LekaFEV [45]

Answer:350

Step-by-step explanation:

unknown is a

a% of 68=238

a/100 x 68=238

68a/100=238

Cross multiplying we get

68a=100x238

68a=23800

Divide both sides by 68

68a/68=23800/68

a=350

6 0
3 years ago
What is the retail price of a shirt that has a wholesale price of $12 and is marked up by 60 percent?
Nataly_w [17]

60%12)+12=19.20 you can also use Desmos.

3 0
3 years ago
Read 2 more answers
How to subtract an integer
Evgesh-ka [11]
<span>If both signs are positive, the answer will be positive. Example: 14 - (-6) = 14 + 6 = 20.If both signs are negative, the answer will be negative. ... <span>If the signs are different subtract the smaller absolute value from the larger absolute value.</span></span>Is what I found
3 0
3 years ago
Read 2 more answers
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