Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
In order to find all of these, you first must convert the percentage to a decimal. This would be 13% to 0.13.
Now, multiply 0.13 by all of these into a calculator.
1800 • 0.13 = 234
950 • 0.13 = 123.50
2200 • 0.13 = 286
3000 • 0.13 = 390
2600 • 0.13 = 338
Answer:
Step-by-step explanation:
first work what's in the brackets { 4 x 2 -10}^3
{4 x 2-1000}
4 x -998
Hey there!!
Given :
The total cost for 2 pairs of pants and 5 shirts is $61.
The total cost for 3 pairs of paints and 4 shirts is $67.
<em>Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'. </em>
Now, let's get these into an equation.
<em>Peter's equation</em> :
... 2p + 5s = 61
<em>Jessica's equation : </em>
...3p + 4s = 67
......................................................................................................
2p + 5s = 61 --- (1)
3p + 4s = 67 --- (2)
Multiply the first equation with 3 and the second equation with 2.
6p + 15s = 183
6p + 8s = 134
S<em>ubtract both the equations - </em>
... 7s = 49
Divide both sides with 7.
... s = 7
<u><em>Hence, the cost of each shirt is $7. </em></u>
Hope my answer helps!!