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tino4ka555 [31]
4 years ago
14

If x = 5/6 & y = -1/5 what is the value of 6x/y + 9

Mathematics
1 answer:
DerKrebs [107]4 years ago
5 0
Your first step is to do 6(x) which is 6 multiplied by x which is the value of 5\6
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Let triangle $DEF$ be equilateral, where the side length is $3.$ A point $G$ is chosen at random inside the triangle. Find the p
noname [10]

Answer:

13.43%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that  

The probability that a point selected a random in triangle has distance from D to 1 or less is given by the area of the sector divided by the area of triangle

step 1

Find the area of sector

A_1=\frac{60}{360}\pi r^{2}

we have

r=1\ unit

substitute

A_1=\frac{60}{360}\pi (1)^{2}

A_1=\frac{\pi}{6}\ unit^{2}

step 2

Find the area of triangle

Applying the law of sines

The area of an equilateral triangle is equal

A_2=\frac{1}{2}b^2sin(60^o)

we have

b=3\ units\\\\sin(60^o)=\frac{\sqrt{3}}{2}

A_2=\frac{1}{2}(3)^2(\frac{\sqrt{3}}{2})

A_2=9\frac{\sqrt{3}}{4}\ units^2

step 3

Find the probability

P=\frac{A_1}{A_2}

substitute

P=\frac{\pi}{6}:9\frac{\sqrt{3}}{4}

P=\frac{4\pi}{54\sqrt{3}}

assume

\pi =3.14

P=\frac{4(3.14)}{54\sqrt{3}}=0.1343

Convert to percentage

P=0.1343*100=13.43\%

8 0
4 years ago
Can someone solve this for me
Oksi-84 [34.3K]
Pardon my handwriting lol

7 0
3 years ago
Violet contributes 12% of her $55,700 annual salary to her 401(k) plan. What is her pretax income?
NikAS [45]
You have that:

 - Her contribution from her salary <span>to her 401(k) plan, </span>is: 12%.
 - Her annual salary is: $55,700.

 Then, to solve this problem and calculate her pretax income, you must following the steps below:

 1. You must calculate the amount that Violet contributed to her 401(k) plan. So, you have:

 12%/100=0.12

 ($55,700x0.12)=$6,684 

 2. Now, you must subtract her annual pay ($55,700) by the amount obtained ($6,684), as below:

 Pretax income= $55,700-$6,684
<span> Pretax income=$49,016
</span><span>
 What is her pretax income?

 The answer is: Her pretax income is </span>$49,016
7 0
4 years ago
Read 2 more answers
I need help asap. For this one I am not sure if it is correct.
notka56 [123]
Yes it is correct!! :)
7 0
4 years ago
1. Which of the following numbers is an integer, but is not a whole number?
notka56 [123]
1.) -4
2.) Parenthesis, so probably 1+1

I could be wrong. Sorry XD
4 0
4 years ago
Read 2 more answers
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