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ipn [44]
2 years ago
5

In the diagram FEL ~ JOS

Mathematics
1 answer:
____ [38]2 years ago
8 0

9514 1404 393

Answer:

  EL/EF and OS/OJ

Step-by-step explanation:

In the similar triangles, angle F and angle J have the same measure, so will have the same tangent. The tangent is the ratio of the opposite side to the adjacent one.

In ΔFEL, the desired ratio is ...

  tan(F) = EL/EF . . . . . 2nd choice

In ΔJOS, the equivalent ratio is ...

  tan(J) = tan(F) = OS/OJ . . . . . 7th choice

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5 1
3 years ago
Read 2 more answers
I need help with numbers 2,3,4,5,6 I need to graduate so help
Neporo4naja [7]

Answer:

2.

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *

3.) g15.9

4.)25.4

5.) 70.8

6.) 36.4

Step-by-step explanation:

Cot is the inverse of toa so cot= adj/opp

This means the traingle's adjacent side is √3 and its opposite is 5

with this information let's figure out the hypotonouse

√3²+5²=c²

3+25=c²

28=c²

√28=c

√28=2√7

which means the triangle's

opposite= √3

hypotonous= 2√7

Adjacent= 5

With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

For this one we have the adjacent and need the opposite

we will use TOA

Tan(25)=x/34

34tan(25)=x

x=15.9

4.) For this one we have the adjacent but need the hypotonouse

we will use CAH

cos(48)=17/x

17/cos(48)=x

x=25.4

5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH

sin(α)=17/18

α=70.8

6.) For this one we have the opposite and adjacent and so we'll use TOA

Tan(α)=(31/42)

α=36.4

8 0
3 years ago
Write the positive or negative integer that this situation represents.
madreJ [45]

Answer:

12

Step-by-step explanation:

A profit, or money you have, or money you deposit in a bank account is usually positive.

A debt, or money you withdraw from a bank account, or money you give away is usually negative.

Answer: 12

5 0
3 years ago
10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
Alik [6]
The answer is 8, 13, 18
4 0
3 years ago
Simplify (-x^2 – 28x + 7) + (-7x^2 + 14x + 8).
Anon25 [30]

Add numbers with the same amount of variables

-x^2 + (-7x^2) = -8x^2

– 28x (+ 14x )= -14x

7 (+ 8) = 15

-18x² - 14x + 15 is your answer

hope this helps

6 0
3 years ago
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