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Hunter-Best [27]
3 years ago
8

What is the tangent ratio for

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

Answer:

4/3

Step-by-step explanation:

By definition, for a right triangle with an internal angle x

tangent x = length of opposite side / length of adjacent side

in this case for angle F, the opposite side is DE and the adjacent side is DF

hence tan F = 8/6 = 4/3

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Answer:

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Step-by-step explanation:

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3 years ago
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Akira is a salon owner. Yesterday, she did 2 haircuts and colored the hair of 1 client, charging a total of $194. Today, she did
joja [24]

Answer:

\boxed {\boxed {\sf Haircut: \$47 \ and \  Color: \$ 100}}

Step-by-step explanation:

Let's set up a system of equations. (1 equation for yesterday and 1 for today).

  • Let h = haircut and c= color

2h+1c= 194  (Yesterday: 2 haircuts and 1 color for $194).

2h+4c= 494 (Today: 2 haircuts and 4 colors for $494).

Notice that both equations have a 2h. If we subtract the two equations, the 2h will cancel and leave us with one variable, c.

\ \ (2h+1c=194) \\-  (2h+4c=494)

\ \ 1c=194 \\- (4c=494)

-3c= -300

Since we are solving for c, we must isolate the variable. It is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3c/-3=-300/-3 \\c= -300/-3 \\c=100

Now we have to solve for h. Plug 100 in for c in the first equation.

2h+1(100)= 194 \\2h+100=194

100 is being added, so we must subtract 100 from both sides.

2h+100=194-100 \\2h=94

h is being multiplied by 2, so we divide both sides by 2.

2h/2=94 \\h=47

A haircut costs $47 and a color costs $100.

6 0
3 years ago
Why is the greatest common factor of two numbers sometimes one
Gala2k [10]
Because it may be the only number that is common to both numbers. Like the greatest common factor between 2 and 3 is 1.
6 0
4 years ago
Which function represents g(x) , a reflection of f(x)= 2/5 (10) x across the x-axis ?
swat32
The answer is ............................a
5 0
3 years ago
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carrie missed 12% of problems on coach Blanes Texas History test The test had a total of 125 problems did Carrie get correct on
denis-greek [22]

Answer:

110

Step-by-step explanation:

just subtract the percent :)

4 0
3 years ago
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