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4 years ago

What is the definition of csc θ ?

1 answer:

3 0

Csc is the inverse of sin. This means the formula in regards to a triangle for csc is h/o, unlike o/h for sin. csc can also be knows as 1/sin.

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Cost of Bikes ($) at Bike Shop

Margarita [4]

Answer:

352

Step-by-step explanation:

it repeated more than once

4 0

2 years ago

Solve for x. 25 - 3x = -5(1 - x) - 2x

grandymaker [24]

Answer:

$x = 5$

Step-by-step explanation:

25 - 3x = -5(1 - x) - 2x

We have to first get rid of the parenthesis:

$-5 * 1$ ==> -5

$-5 * -x$ ==> 5x

So now you should have:

25 - 3x = -5 + 5x - 2x

Combine like terms:

25 - 3x = -5 + 5x - 2x

25 - 3x = -5 + 3x

Add 3x to both sides:

25 - 3x = -5 + 3x

+ 3x = + 3x

And you should have:

25 = -5 + 6x

Add 5 to both sides:

25 = -5 + 6x

+5 = +5

30 = 6x

Divide 6 to both sides:

$\frac{30}{6}$ = $\frac{6x}{6}$

5 = x

3 0

3 years ago

Read 2 more answers

Mary invests £12,000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment

Lesechka [4]

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:

P = Principal / initial amount

R = rate of interest per cent per year

T = number of years

A = final amount at the end of T years

Then:

A = P*(1 + R/100)^2

In our example:

P = £12000

R = 1.5 per cent per year

T = 2 years

Thus:

A = 12000*(1 + 1.5/100)^2

= 12000*(1 + 0.015)^2

= 12000*(1.015)^2

= 12000*(1.030225)

= 12362.7

Value of investment after two years = £12362.7

5 0

3 years ago

The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14

Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

$P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960$

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0

3 years ago

Can someone please let me know if these are the correct answers

Lostsunrise [7]

1. x >= 4, because 4 is dotted, and that means that 4 is included

2. x =/ 4, the third answer is correct, because all numbers except 4 are included

3. the first number line is the correct answer, because -3 is not included

4. the second number line is the correct answer, because -1 is included

5. the second number line is the correct answer, because 6 is not included

6. the first number line is the correct answer, because 0 is included

7. the second number line is the correct answer, because all numbers except -4 are included

8. the third number line is the correct answer, because -1,5 is included

When a number is included in an interval, it should have full dot on the number line, so that's how you know.

Hope this helps!

8 0

3 years ago