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Dima020 [189]
3 years ago
10

Can someone please help me out? It would really make me happier if you did.

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

B) 8 and 24.

Step-by-step explanation:

Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.

Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.

Their difference is 16. Hence:

a-b=16

The first number is three times the second number. So:

a=3b

Substitute:

3b-b=16

Solve for <em>b</em>. Subtract:

2b=16

And divide both sides by two:

b=8

So, the second number is 8.

And since the first number is three times the second, the first number is 24.

Our answer is B as expected.

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In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
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The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

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cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

c^{2} = a^{2} + b^{2} - 2ab (cos(c))

By inserting the values in the formula, we get

c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )

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Answer:

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Step-by-step explanation:

The given expression to be simplified is

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The simplified form of ,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12} is √3

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