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2 years ago

Someone please explain this it’s confusing me.

Mathematics

1 answer:

Nesterboy [21]2 years ago

5 0

Answer:

x = 4 radical 3 / 3

Step-by-step explanation:

this is a 30-60-90 triangle

the side across from the angle 30 is L

the side across from the angle 60 is L√3

the side across from the angle 90 is 2L

we are given the side across from 60⁰ so we know that:

2 = L√3

we want to solve for L, so we must divide both sides by √3 (radical three)

2/√3 = L√3/√3

you would get 2/ √3 = L, because the radical three cancels out on the L side.

but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3

2 times √3 and √3 times √3

you get 2√3/√9

radical nine can simplify

2radical3/3 or 2√3/3

we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L

multiply the number infront of the radical by two and get

4√3/3

x=4 radical 3 divided by 3

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Elena-2011 [213]

The expressions that are equal to 61 are

|−61|
The distance from zero to −61
−(−61)
The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

Option 1: |−61|

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

Option 2: The distance from zero to −61

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

Option 3: The opposite of 61

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

Option 4:−(−61)

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

Option 5: the opposite of −61

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

Option 6: −|−61|

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

Option 6: −|61|

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61

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brainly.com/question/723406

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The amount of kerosene and gasoline produced is an illustration of equations.

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Let

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$y \to$ Proportion of Gasoline

So:

$x = 40\%$

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$Kerosene =x \times Total$

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