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Tema [17]
2 years ago
14

If A = 30° and r = 12, find x. (Round your answer to the nearest whole number.)

Mathematics
2 answers:
Margaret [11]2 years ago
6 0

Answer:

\boxed{12}

Step-by-step explanation:

A = 30° and r = 12

\sin A = \frac{r}{r + x}

\sin 30 = \frac{12}{12 + x}

\frac{1}{2} = \frac{12}{12 + x}

1(12 + x) = 2(12)

12 + x = 24

x = 24 - 12

x = 12

.

Happy to help :)

Blizzard [7]2 years ago
5 0

Answer:

the answer is 12

Step-by-step explanation:

hope this help

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
kirill115 [55]

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)²    --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x)  --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x)  --------(iii)

Step No. 3

Now, we shall simplify the terms within the  parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x)  --------(iv)

Step No. 4

Now, we shall open the  parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x   --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8  --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

8 0
3 years ago
Read 2 more answers
John can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot wor
Crank

Answer:

1 hour and 7.5 minutes

Step-by-step explanation:

We have the following information:

Jose makes 1 / 1.5 of the job per hour. It is his rate of work in addition to that the partner makes 1 / 4.5 of the job per hour. It is his rate of work.

Thus:

1 / 1.5 + 1 / 4.5 = 1 / x

0.8898 = 1 / x

x = 1 / 0.8888

x = 1.125

Hence, it will take 1 hour and 7.5 minutes for them to complete the job working together.

4 0
2 years ago
Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
8_murik_8 [283]

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

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4 0
2 years ago
Use the grouping method to factor the polynomial below completely.<br> x - 4x² + 3x - 12
N76 [4]

Answer:

6xsquare

Step-by-step explanation:

that is my answer

3 0
3 years ago
Read 2 more answers
Help for brainliest answer
Morgarella [4.7K]

Answer:

a) 32

b) 7+(n-1)\times 5

Step-by-step Explanation:

Initial pattern has 7 sticks.

Second one has 7+5 sticks.

Third has 7+5+5 sticks.

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Sixth has 7+5+5+5+5+5=32 sticks.

$n^{th}$ has $7+ 5(n-1)$ sticks.

6 0
3 years ago
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