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WINSTONCH [101]
2 years ago
12

Find the cosine of ∠D.

Mathematics
1 answer:
Yuliya22 [10]2 years ago
5 0
It should be 5/13 because the opposite angle from D is 12, which you would use if you are looking for sine. But, since you are looking for cosine, it is adjacent over hypotenuse. Therefore leaving you with 5/13, since your hypotenuse is always your longest side and the adjacent is the other side from the one opposite of the angle.
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Graph the solution set of: 2x - 4 ≤ 8 and x + 5 ≥ 7​
Alex17521 [72]

Answer:

x ≤ 6 and x ≥ 2

Step-by-step explanation:

For now, we will start with doing each problem at a time. Here is your equation:

2x - 4 ≤ 8

First, you want to get the variable by itself. So, you add 4 to both sides. It will look like this:

2x - 4 ≤ 8

+ 4 + 4

The four being added on the left side cancels out, and you add 4 to 8. Now, it should look like this:

2x ≤ 12

Next, you want the x by itself. So, you would divide both sides by 2.

2x ≤ 12

/2 /2

2 divided by 2 cancels out, and 12 divided by 2 equals 6. Now, you have a final answer of:

x ≤ 6

But, you now have to do the other one!

Here is what you start off with:

x + 5 ≥ 7

First, you want the variable side by itself. So, you subtract 5 from both sides.

x + 5 ≥ 7

- 5 -5

Now, you have this:

x ≥ 2

Because the variable is already by itself, you don't need to do any more division and this is you final answer. Now put both answers you got together which equals:

x ≤ 6 and x ≥ 2

8 0
3 years ago
Read 2 more answers
Help me please urgent
asambeis [7]

Let \:  x  \: be  \: the \:  number \:  of \:  hours \\ Expession: - 4.5x =  - 27\Leftrightarrow x =  \frac{ - 27}{ - 4.5}  = 6 \: hours

7 0
3 years ago
What is that name of this figure​
Nataliya [291]

Answer:

A square

Step-by-step explanation:

6 0
3 years ago
There are 80 people waiting to tour the science museum. The tour guide takes 4 groups of 16 people each. The remaining people wi
Anna11 [10]

Answer:

16 people

Step-by-step explanation:

Given that :

Number of people to tour = 80

Number per group = 16

Number of groups = 4

Total number of people who make up the entire groups :

Number per group * number of groups

16 * 4 = 64

The number of people in the last tour group :

80 - 64

= 16 people

7 0
3 years ago
Working in separately , three carpenters can make three chairs in three days. How many chairs can 7 carpenters working at the sa
tekilochka [14]
210chairs since the ratio is 3/3 which is 1/1 since 7 carpenters make 7 chairs every day for 30 days thats 7 * 30 which is 210
6 0
3 years ago
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