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3 years ago

Simplify each expression √3 (√27 - √3) plz explain how to do it, thx

Mathematics

1 answer:

bixtya [17]3 years ago

4 0

√3 (√27-√3)

Simplify Root 27
√3( 3√3-√3)

Combine like terms
√3(2√3)

Multiply
√3* √3= 3
3*2=6

Final answer: 6

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3 years ago

In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your a

pishuonlain [190]

Applying the trigonometry ratios, we have:

a. CD = 63.6

b. CD = 33.8

c. CD = 16.1

d. CD = 15.9

<h3>What are the Trigonometry Ratios?</h3>

The trigonometry ratios are used to find a length or angle in any right triangle. They are:

SOH, which is sin ∅ = opp/hyp
CAH, which is cos ∅ = adj/hyp
TOA, which is tan ∅ = opp/adj

a. ∅ = 32°

hyp = 75

adj = CD

Apply CAH:

cos 32 = CD/75

CD = cos 32 × 75

CD = 63.6

b. ∅ = 56°

opp = 28

hyp = CD

Apply SOH:

sin 56 = 28/CD

CD = 28/sin 56

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c. ∅ = 43°

opp = 15

adj = CD

Apply TOA:

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CD = 15/tan 43

CD = 16.1

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Apply SOH:

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3 years ago

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3 years ago

(-14+3i)-(14i) = ? Express your answer in the form (a + bi).

gayaneshka [121]

Answer:

-14 - 11i

Step-by-step explanation:

You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.

(-14 + 3i) - (14i)

= -14 + 3i - 14i

Combine the i's

= -14 - 11i

That's it. The -14 is the a, and the -11 is the b in a+bi.

If necessary to fill in a computer answer that is already formatted with a plus, like:

_ + _i

then use -14 for a and -11 for b.

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2 years ago