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otez555 [7]
3 years ago
6

Find the missing side Lengths (70 POINTS!)

Mathematics
2 answers:
Deffense [45]3 years ago
8 0

Answer:

The sides are as follows: x=18,\,\,\,y=9\sqrt{3}

Step-by-step explanation:

Starting with the side y, we can use the tan to solve for y:

\tan 30^\circ = \frac{9}{y}\implies y = \frac{9}{\tan 30^\circ}={9}\sqrt{3}

The side x can be determined using sin:

\sin 30^\circ = \frac{9}{x}\implies x = \frac{9}{\sin 30^\circ}= 18

So, the sides as as follows: x=18,\,\,\,y=9\sqrt{3}

(you can also verify this result is correct using the Pythagorean theorem)

Snowcat [4.5K]3 years ago
5 0

Answer:

x=18

y=\sqrt 18

Step-by-step explanation:

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Question: "If y > 3, what is the value of n ?"
iris [78.8K]

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

7 0
3 years ago
Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has
UkoKoshka [18]

Answer:

12 packages.

Step-by-step explanation:

Peaceful travel agency offers vacation packages.

Each vacation package include a city, a month and an airline.

The agency has 2 cities, 3 months and 2 airlines to choose from.

Agency can offer the number of different packages = 2 × 3 × 2

5 0
3 years ago
What is the inverse of the function
Evgesh-ka [11]

Answer:

A

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = \frac{19}{x^3} ( multiply both sides by x³ )

x³y = 19 ( divide both sides by y )

x³ = \frac{19}{y} ( take the cube root of both sides )

x = \sqrt[3]{\frac{19}{y} }

Change y back into terms of x, then

f^{-1} (x) = \sqrt[3]{\frac{19}{x} } = \frac{\sqrt[3]{19} }{\sqrt[3]{x} } → A

6 0
4 years ago
Tom's weight = 500 pounds
ruslelena [56]

Answer:

88% of his weight remains

5 0
3 years ago
Dividing integers
Natasha2012 [34]

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =11</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-4</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-6</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-12</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=8</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=818. (-105) ➗ 7=-15</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=818. (-105) ➗ 7=-15hope it helps you......</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

8 0
3 years ago
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