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Ainat [17]
3 years ago
13

Instructions: Find the missing side. Round your answer to the nearest

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x              Multiply both sides by x

x * Tan(51) = 16            Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96

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The outer edge of the dime is about 55mm. What is the approximate length of the radius?
lozanna [386]
To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).

C = 2 x pi x r
55 = 2 x 3.14 x r
<u>55 </u>= <u>6.28 x r</u>
6.28   6.28
r = 9.2 mm

The approximate radius is 9.2 mm.
3 0
3 years ago
Solve for X<br> 3x - 6 = 30
Aleksandr [31]

Answer:

The answer is x=12

Step-by-step explanation:

3x - 6 = 30

3x-6+6=30+6

3x=36

To find x divide both sides by 3.

3x/3=36/3

x=12

3 0
3 years ago
L = √36cm, A=
dlinn [17]

L= 6cm

The square root of a number is the factor that we can multiply by itself to get that number. Square root is the opposite of square of the number.

√36 = √6×6= 6

so you can write L = √36 = 6cm now you can find the area.

6 0
2 years ago
Read 2 more answers
It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, h
elena-14-01-66 [18.8K]

Answer:

Time machine one = 3.56

Time machine two = 4.56

Step-by-step explanation:

Let machine 2 do the job in x hours

Let machine 1 do the job in x - 1 hours.

The general formula for this problem is

Time = A*B/(A + B)

Givens

Time = 2 hours

B = x hours alone

A = x - 1 hours alone.

#################

x *( x - 1)

======= = 2

(x + x - 1)

(x^2 - x)/(2x - 1) = 2

x^2 - x = 2(2x - 1)

x^2 - x = 4x - 2

x^2 - 5x + 2 = 0

a = 1

b = - 5

c = 2

This gives 2 roots

x = 4.56

x = 0.43

The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.

Time for machine 2 is 4.56

The time for machine 1 is 3.56

Check

(A * B)/(A + B) = 2

A = 4.56

B = 3.56

Time = 4.56*3.56/(4.56 + 3.56)

Time = 16.2336/(8.12)

Time = 1.9992

The rounding error in the check comes from the rounding error in the times.  

4 0
4 years ago
How to simplify 3x-1
Murljashka [212]

Answer:

9×2

Step-by-step explanation:

(-3x)2=-3x×-3x=9×2

5 0
3 years ago
Read 2 more answers
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