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3 years ago

Find the value of Y .

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

y = 4

Step-by-step explanation:

You can do this either with the unit circle or the sine function (if you know it).

Method One

Sin(30) = opposite / hypotenuse Definition

opposite = y
hypotenuse = 8
Sin(30) = 1/2

1/2= y/8 Multiply both sides by 8

1*8/2 = y

y = 4

Method two

The unit circle will tell you that sin(30) = 1/2

1/2 = y/8

Done the same way as above

y = 4

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Simplify the expression. x4y−4z−2x2y−2z4 y2x2z6 the fraction with numerator y squared and denominator x squared z to the 6th pow

Kaylis [27]

Given:

Consider the given expression is:

$\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}$

To find:

The simplified form of the given expression.

Solution:

We have,

$\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}$

By using the quotient property of exponents, we get

$=x^{4-2}y^{-4-(-2)}z^{-2-4}$ $\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]$

$=x^{2}y^{-4+2}z^{-6}$

$=x^{2}y^{-2}z^{-6}$

By using negative exponent property, we get

$=\dfrac{x^{2}}{y^{2}z^{6}}$ $\left[\because a^{-n}=\dfrac{1}{a^n}\right]$

The simplified form of the given expression is $\dfrac{x^{2}}{y^{2}z^{6}}$ .

Therefore, the correct option is B.

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3 years ago

for each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, symmetric, antisymmetric, or transitive. {(

Rama09 [41]

Relationship R is not symmetric and is not reflexive, R is not an asymmetric relation, R is a transitive relation as represented in image.

What is a relation?

Both the relationship and the function are fairly similar to one another. After learning about function and relation, we can then study how they differ from one another. This is how we can distinguish between relation and function.
The connection can be viewed as a set of ordered pairs in discrete mathematics. The sets must not be empty in order for it to be used to connect an object through one set to the other. The relation may include two sets or more.

The relation in mathematics is the connection between different sets of values. Assume that there are different pairs of ordered pairs, x and y.

If set x and set y are related, then set x's values are referred to as its domain while set y's values are referred to as its range.

Relationship R is not symmetric and is not reflexive, R is not an asymmetric relation, R is a transitive relation as represented in image.

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2 years ago

A roller coaster is at the top of a 72m hill and weighs 966N. At the top of the hill the coaster car has ___________________ ene

igomit [66]

Answer:

Potential

Step-by-step explanation:

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3 years ago

The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 36. What is the age of the person

Igoryamba

Answer:

$\boxed{\sf \ \ \ age = 16 \ \ \ }$

Step-by-step explanation:

Hello,

as the mean age of 5 people is 40

it means that the sum of the 5 ages is 40*5=200

now a person enters the room, let's note x his age

the new mean is

$\dfrac{200+x}{6}=36$

$200+x=6*36=216\\ x = 216-200=16\\$

So the age of the new person is 16

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3 years ago

disributivity of multiplication over addition for rational numbers solve : -3/4 , 2/3 and -5/6 = 1/8 ? how ?

Nezavi [6.7K]

The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

<h3>Complete question</h3>

Which of the following is an example of distributive property of multiplication over addition for rational numbers

(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)

(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4

<h3>How to determine the correct distributive property?</h3>

The distributive property of multiplication states that:

a * (b + c) = (a * b) + (a * c)

From the given question, we have:

-3/4 × {2/3 + (-5/6)}

This means that:

a = -3/4

b = 2/3

c = -5/6

Recall that a * (b + c) = (a * b) + (a * c)

So, we have:

-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

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2 years ago