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-BARSIC- [3]
3 years ago
7

Does anyone know what this is ?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

<em>Additional comment</em>

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

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Solve this equation -3x+1+10x=x+4
Salsk061 [2.6K]

Answer: x=\frac{1}{2}

Explanation:

We have been given with the equation -3x+1+10x=x+4

We will collect the terms that are written in variable of x in one side and the constant values on the other side we will get

-3x+10x-x=4-1

After simplification we will get  6x=3

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When x from right hand side shift  will shift to left hand side it will change its sign and similarly when 1 from left hand side shift to right hand side change its sign.

Therefore, x=1/2

3 0
4 years ago
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A patient with end-stage kidney disease has nine family members who are potential kidney donors. How many possible orders are th
eduard

Answer: 504

Step-by-step explanation:

When we select r things from n things in a order , we use permutations.

Formula for permutation:  ^nP_r=\dfrac{n!}{(n-r)!}

Given : The number of family members who are potential kidney donors. = 9

Number of people needed to be selected for best match, a second-best match, and a third-best match ( in an order)=3

Then, the number of possible orders are = ^9P_3=\dfrac{9!}{(9-3)!}

=\dfrac{9\times8\times7\times6!}{6!}=504

Hence, the number of possible orders 504.

4 0
3 years ago
How much simple interest would $1 ,400 earn in 12 months at an interest rate of 3.25%?
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Step-by-step explanation:

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I = 1400 x .0325 x 1

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What is 89 devided by 7 + 46 to the second power
KonstantinChe [14]

89 divided by 7 + 46^2 = 2128.71428571...


I hope this helps!

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A dermatology patient is treated with ultraviolet light having a wavelength of 375 nm. What is the wavelength expressed in centi
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