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3 years ago

Anyone know how to do this??

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

Answer:

csc²(x)

Step-by-step explanation:

csc(x) = 1/sin(x)

sin²(x) + cos²(x) = 1

=> cos²(x) = 1 - sin²(x)

cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =

= 1 - 2×sin²(x)

=> 2×sin²(x) = 1 - cos(2x)

sin²(x) = 1/2×(1-cos(2x))

=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)

=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =

= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)

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Express 30 minutes as a percentage of 3 hours 20 minutes

liberstina [14]

Answer:

15%

Step-by-step explanation:

The quantities must be in the same units

Using the conversion

I hour = 60 minutes, then

3 hours 20 minutes = ( 3 × 60) + 20 = 180 + 20 = 200 minutes.

Thus

$\frac{30}{200}$ × 100% = $\frac{30}{2}$ = 15%

7 0

4 years ago

A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu

Mars2501 [29]

Answer:

There can be at most $12$ attendees in a corporate team-building event.

Step-by-step explanation:

Let $x$ denotes number of attendees in a corporate team-building event.

Fixed cost = $19

Cost charged per attendee = $1

Budget for the corporate team-building event = $31

Therefore,

$19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12$

So, there can be at most $12$ attendees in a corporate team-building event.

8 0

3 years ago

Tariq is comparing the prices of various packages of golf tees at a sporting goods store. He finds a package of 8 golf tees that

Alenkasestr [34]

Answer:

$0.25

Step-by-step explanation:

To find unit rate divide number of shirts by cost of package

$2.00/8 = $0.25

So each individual golf tee costs $0.25

3 0

3 years ago

Evaluate for a = 2<br><br> 5a + 6 = _____

aleksandrvk [35]

Since a=2 it will be 5x2 which equal 10, plus 6

5 0

4 years ago

Read 2 more answers

The sum of two consecutive Integers are 199. Find the Integers

Yanka [14]

Answer:

99 and 100.

Step-by-step explanation:

Let's say the lower number is x. This means that the bigger number would be x+1

x+x+1=199

Simplify

2x+1=199

Subtract 1 on each side of the equation to isolate 2x:

2x=198

Divide

x=99

Let's put this to the test! The lower number(x) is 99, and the bigger number(x+1) would be 100. The total is 199.

Happy learning!

--Applepi101

6 0

3 years ago