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3 years ago

How do I solve this ?

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

Answer:

Base is 5/6

Step-by-step explanation:

We calculate the area of a triangle by multiplying height to the base and that divided by two

Let's call the base X

5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2

2 × 5/36 = 1/3 × X ÷ 2 × 2

5/18 = X/3 now divide both sides by 3

5/18 ÷ 3 = X/3 ÷ 3

X = 5/6

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The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed 2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0

3 years ago

4/6 written as a ratio is

earnstyle [38]

Answer:

4:6

Step-by-step explanation:

Ratios and fractions can be written interchangably

6 0

3 years ago

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The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25

AVprozaik [17]

Answer:

The length of arc 'l' = 9.5

Step-by-step explanation:

Explanation:-

Given radius of the pendulum r = 25

The tip of a pendulum moves through an angle of 0.38 radians

 θ = 0.38 radians

The length of arc 'l' = rθ 

 'l' = (25)(0.38)

 The length of arc 'l' = 9.5 

5 0

3 years ago

X - 15 = -20 please show work

Natasha2012 [34]

Answer:

x = -5

Step-by-step explanation:

x - 15 = -20

+ 15 + 15

x = -5

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4 years ago

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Marizza181 [45]

Answer:

Step-by-step explanation:

Let x be the rate boys can eat

5x = 16

we can multiply this equation by 4 to get

20x = 64

So 20 boys can eat 64 slice of pizza

3 0

4 years ago