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3 years ago

In the right triangle, angle B equals 60° and AB equals 18How long is AC? I'm stuck!

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

Answer:

AC = 15.588

Step-by-step explanation:

(all rounded to nearest thousandth)

sin(60) = x/18

first solve: sin(60) = 0.866

0.866 = x/18

multiply 18 on both sides

x = 15.588

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If a x 10^n is scientific notation, then a must be between 1 and

Yanka [14]

Answer:

A) 10

Step-by-step explanation:

In the US, a number in scientific notation will have a mantissa (a) such that ...

1 ≤ a < 10

That is, the value of "a" must be between 1 and 10 (not including 10).

_____

<em>Comment on alternatives</em>

In other places or in particular applications (some computer programming languages), the standard form of the number may be a×10^n with ...

0.1 ≤ a < 1

In engineering use, the form of the number is often chosen so that "n" is a multiple of 3, and "a" is in the range ...

1 ≤ a < 1000

This makes it easier to identify and use the appropriate standard SI prefix: nano-, micro-, milli-, kilo-, mega-, giga-, and so on.

4 0

3 years ago

Customers at an ice cream shop took a survey. The results showed that 144 customers rated the shop as being "very satisfactory."

stepladder [879]

Answer:

320 customers is the answer

Step-by-step explanation:

1. You have to divide 144 by 45% to find one percent of the customers (you get 3.2).

2. Once you get one percent of all of the customers (3.2) you multiply it by 100 to get 100 percent of the customers (or total number of customers).

So, 320 total customers

Have a great day, I hope you like the explination.

7 0

3 years ago

(3a2 + 2a - 2) - (a2 - 3a + 7)

drek231 [11]

Remember to distribute invibile -1
simlify 2nd part
-(a^2-3a+7)=-1(a^2-3a+7)=-a^2+3a-7

now we have
3a^2+2a-2-a^2+3a-7=
3a^2-a^2+2a+3a-2-7=
2a^2+5a-9

3 0

3 years ago

n^2-2n-3 where n is the number of key rings in thousands, find the number of key rings sold when the profits is $5,000

ArbitrLikvidat [17]

Answer:

For the profit of $5,000, the key chains made is n = 4,000.

Step-by-step explanation:

Here the given expression , where: n = Number of key rings in thousands is given as:

P(n) = n²- 2 n - 3

Now, Profit is given to be $5,000.

Also, as we know 5000 = 5 x (1,000)

⇒ n²- 2 n - 3 = 5

Now, solving the above expression for the value of n, we get:

$n^2 - 2 n - 3 = 5\\\implies n^2 -2n - 8 = 0\\\implies n^2 -4n + 2n - 8 = 0\\\implies n(n-4) + 2(n-4) = 0\\\implies (n-4) (n+2) = 0$

So, n = 4, OR , n = -2

Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.

So, n= 4 = 4 x (1,000) = 4,000 key rings.

Hence, for the profit of $5,000, the key chains made is n = 4,000.

8 0

3 years ago

A chemist has 500 ml of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the gr

prohojiy [21]

Answer: The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

3 0

3 years ago