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Ira Lisetskai [31]
3 years ago
7

How to solve y for this problem

Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0
You do \frac{sin(y)}{2} = \frac{sin30}{what you got for x} and then cross multiply and simply it.

(what you got for x)sin(y)=2sin30
divide (what you got for x) to both side
you should get something like sin(y)= \frac{2sin30}{what you got for x}
then just use a calculator and do sin^{-1} ( \frac{2sin30}{what you got for x} )
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How many oz of walnuts which cost $6/oz must be added to 2 oz of peanuts which cost $12/oz to make mixed nuts which cost $8/oz
Burka [1]

Answer:  4 oz

<u>Step-by-step explanation:</u>

Create a table.  Multiply across and add down (the middle column cannot be added).  The Mixture line creates the equation that must be solved.

Let x represent the unknown quantity of walnuts.

\begin{array}{c|c|c||c}&\underline{Quantity}&\underline{Cost}&\underline{Qty \times Cost}\\Walnuts&x&6&6x\\\underline{Peanuts}&\underline{\qquad 2\qquad}&\underline{\qquad 12\qquad}&\underline{\qquad 24\qquad }\\Mixture&x+2&8&6x+24\end{array}

.\qquad \qquad \qquad \qquad (x+2)(8) = 6x+24\\.\qquad \qquad \qquad \qquad 8x + 16 = 6x + 24\longrightarrow \text{distributed}\\.\qquad \qquad \qquad \qquad2x+16=24\qquad \longrightarrow \text{subtracted 6x}\\.\qquad \qquad \qquad \qquad 2x=8\qquad \qquad \ \longrightarrow \text{subtracted 16}\\.\qquad \qquad \qquad \qquad x=4\qquad \qquad \quad \longrightarrow \text{divided by 2}

4 0
3 years ago
4 lb. 8 oz. − 1 lb. 2 oz. =
saw5 [17]
4.8 takeaway 1.2 equals 3.6
8 0
3 years ago
Read 2 more answers
A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How
Romashka-Z-Leto [24]

Answer:

<em>4.52secs</em>

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

t = -5±√25-4(3)(-84)/2(3)

t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

<em>t = 4.52 secs</em>

<em>Hence it will take 4.52secs for the object to travel 84feet</em>

8 0
2 years ago
Point B is on line segment AC. Given AB = 3x, BC =4x+8 and AC = 5x + 10, determine the numerical length of AC
Vlada [557]

Answer:

15

Step-by-step explanation:

determine the numerical length of AC

We know that Ac is equaled to ab and bc because they are the segements between ac  

                3x                                4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

solving for x

3x + 4X + 8 = 5X + 10

3x+4x-5x= 10-8

2x=2

x=1

Now sub that in for ac

AC= 5x +10

AC= 5(1) +10

AC= 5 +10

AC = 15

3 0
2 years ago
Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of sever
olganol [36]

Answer:

The domain and the range of the function are, respectively:

Dom\{f\} = [0\,m,5\,m]

Ran\{f\} = [0\,m^{2}, 10\,m^{2}]

Step-by-step explanation:

Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.

Dom\{f\} = [0\,m,5\,m]

Ran\{f\} = [0\,m^{2}, 10\,m^{2}]

8 0
3 years ago
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