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Marta_Voda [28]
3 years ago
11

What is the gcf of 30 and 54

Mathematics
2 answers:
iren [92.7K]3 years ago
8 0
The greatest common factor is the biggest whole number that can go into both of them so

first find the factors and collect the ones common to both of them

30=2 times 3 times 5
54=2 times 3 times 3 times 3

the ones common to them both is 2 times 3 which is 6
ANEK [815]3 years ago
7 0
30|2
15|3
5|5
1

54|2
27|3
9|3
3|3
1

GCF(30,54)=2\cdot3=6
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3 years ago
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Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,
Firlakuza [10]
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
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 Tan(α)=Opposite leg/Adjacent leg

 α=30°
 Opposite leg=x
 Adjacent leg=200 feet

 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/200
 
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3 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
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37. Two numbers are such that their
omeli [17]

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

each other as 1:7:24. Their product must equal what number?

:

Two numbers a & b

Let x = the multiplier

:

a - b = 1x

a + b = 7x

a * b = 24x

:

Add the 1st two equations

a - b = x

a + b = 7x

2a = 8x

a = 4x

or

x = .25a

:

a * b = 24x

Replace 24x; a = 4x therefore:

a * b = 6a

b = 6

;

Using the 1st equation

a - b = 1x

Replace b with 6 and x with .25a

a - 6 = .25a

a - .25a = 6

.75a = 6

a =

a = 8

:

Find the multiplier

a - b = x

8 - 6 = 2

:

Check this

a - b = 2 (1*2)

a + b = 14; (7*2)

a * b = 48: (24*2)

:

The numbers are 8 and 6; their products = 48

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3 years ago
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