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Angelina_Jolie [31]
3 years ago
8

Please solve for X and explain with steps

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

log₃(-2 tan(<em>x</em>)) = 1/2

Write both sides as powers of 3, and use the property b^{\log_ba}=a:

3^{\log_3(-2\tan x)}=3^{\frac12}

-2 tan(<em>x</em>) = √3

Then solve for <em>x</em> :

tan(<em>x</em>) = -√3 / 2

<em>x</em> = arctan(-√3 / 2) + <em>nπ</em>

<em>x</em> = -arctan(√3 / 2) + <em>nπ</em>

where <em>n</em> is any integer.

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Myra said the number 15 is a prime number because it has two odd facrors 3 and 5. do you agree or disagree with myra
Tema [17]

yes I agree because if u did ur time tables right 3&5 would of been ur odd facrors

 



5 0
3 years ago
Which expression best represents the difference between triple a number and double a number?
ioda
C. x³ - x²

In word problems, there terms which indicate the mathematical operation that needs to be performed.

difference = refers to the answer in subtraction
triple a number or double a number refers to the number of times a number is multiplied by itself.

in triple a number = a number is multiplied by itself three times.
in double a number = a number is multiplied by itself two times.

It would initially look like this: (x * x * x) - (x * x); to simplify the expression, a number to be multiplied is written down and the number of times it will multiply by itself is noted on the upper right side of the number when we look at it.

Thus: x³ - x² is the correct expression that best describes the word problem above.
8 0
3 years ago
Read 2 more answers
The ratio of the lengths of the two legs of a right triangle is 3:4
Snowcat [4.5K]

<em>Greetings from Brasil... </em>

Check Attachment!!!

According to the statement of the question, we have:

a/b = 3/4

<em>Note that according to the attached figure, </em><em>b > a</em><em>, then the correct proportion will be </em><em>a</em><em> to </em><em>3</em><em>, as well as </em><em>b</em><em> to </em><em>4</em><em>, because </em><em>b > a</em><em> and </em><em>4 > 3</em>

Isolating a and b:

a = 3b/4

b = 4a/3

From Pythagoras:

h² = a² + b² - as a = 3b/4 and b = 4a/3, so

<h3>b = 4h/5</h3><h3>a = 6h/5</h3>

For Area:

A = b.a/2

as b = 4h/5 and a = 6h/5, so

<h3>A = 12h/25</h3>

4 0
2 years ago
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+70,0000 . What is the difference in the popul
Sindrei [870]

Answer:

25,800

Step-by-step explanation:

Plug in 4 everytime you see T.

multiple-150 times 4 plus 50000 which gives you 49,400.

then multiple 50 times 4 and add 75000, giving you 75,200 then subtract 75,200 - 49,400 which you end up with 25,800.

hope this helped

5 0
2 years ago
A claw arcade machine contains stuffed animals and mystery boxes. There are 51 items in the machine. Winning a stuffed animal ha
Oliga [24]
Answer: 34 stuffed animals & 17 mystery boxes.

First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.

The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.

17 x 2 = 34

As for the mystery boxes, you need to multiply it by one.

17 x 1 = 17.

In summary, the answer is 34 stuffed animals and 17 mystery boxes.
4 0
3 years ago
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