Answer:
17.738
Step-by-step explanation:
to find x we’ll use sine
sin69=x/19
(remember that sine = opposite/hypotenuse)
so x = 19sin69
when typing this in your calculator you might need to change from radian to degree mode
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
We have that
<span> -3r+3u
</span>
Step 1
<span>Use the distance formula to find the radius
</span><span>r = √(x^2 + y^2)
(x,y)----------> (</span>-3,3)
r= √(-3^2 + 3^2)=√18=3√2
Step 2
Use the tangent to find the angle
θ = arctan(y/x)
θ = arcTan(3/-3)= -45°-------> II Quadrant
then
θ=180-45=135°
Step 3
write in polar form
(x,y)------------> (r, θ)
so
(-3,3)----------> (3√2, 135°)
the answer is (3√2, 135°)
The measure of the angle is 137 degrees
180 - 60 - 45 = 75
180 - 75 - 68 = 37
180 - 100 - 37 = 43
180 - 43 = 137
