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Arlecino [84]
3 years ago
12

Sin30=4/sqrt{3}/x How to solve?

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

x=\dfrac{8}{\sqrt3}

Step-by-step explanation:

Given that,

\sin(30)=\dfrac{\dfrac{4}{\sqrt3}}{x} ...(1)

We need to find the value of x.

We know that,

sin30 = 1/2

Use it in equation (1).

\dfrac{1}{2}=\dfrac{\dfrac{4}{\sqrt3}}{x}\\\\x=\dfrac{4}{\sqrt3}\times 2\\\\x=\dfrac{8}{\sqrt3}

So, the value of x is equal to \dfrac{8}{\sqrt3}.

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90 cookies will feed 30 people just double 45
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4 years ago
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Jeff answered all 25 questions on his chemistry test. For each right answer, he got 4 points and for each wrong answer he lost 2
timurjin [86]

Answer:

Jeff got 20 answers right.

Step-by-step explanation:

The maximum number of points Jeff can get is 100. (25 * 4) However, for each question he gets wrong, he's actually losing 6 points because he doesn't get the four points for getting right, and has the additional -2 points for getting it wrong. Since he only got a score of 70, that means he lost 30 points.

30/6 = 5. So he missed 5 question and got 20 question right.


5 0
3 years ago
Justify each step of the solution by stating the property that was used to get to each step.
trapecia [35]

For this case we have the following expression:

4.5 (8-x) + 36 = 102-2.5 (3x + 24)

Applying distributive property to the terms within parentheses we have:

36-4.5x + 36 = 102-7.5x-60

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

72-4.5x = 42-7.5x

We add 7.5x to both sides of equality:

72 + 3x = 42

We subtract 72 from both sides of equality:

3x = -30

We divide between 3 on both sides of equality

x = -10

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

3 0
3 years ago
Tyrell bought a house for $186,500. He has a 30 year mortgage with a fixed rate of 6.5%. Tyrell's monthly payments
Rashid [163]

Answer:

b. 18,650 should be the correct answer

Step-by-step explanation:

6 0
3 years ago
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Use the algebraic expressions for the length and width of Marlene's living room found in the
krok68 [10]

Answer:

<em>The area of Marlien's living room is 420 square ft</em>

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

8 0
3 years ago
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