Answer:
Step-by-step explanation:
12) looking at the right angle triangle,
x = hypotenuse
y = adjacent side
Opposite side = 4
To determine x, we would apply
the sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = 4/x
x = 4/sin30 = 4/0.5
x = 8
To determine y, we would apply
the Cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = y/8
y = 8Cos30 = 8 × 0.866
y = 6.93
14) looking at the right angle triangle,
hypotenuse = 22
y = opposite side
x = adjacent side
To determine y, we would apply
the sine trigonometric ratio.
Therefore,
Sin 45 = y/22
y = 22Sin45 = 22 × 0.7071
y = 15.6
x = y = 15.6 because the triangle is an isosceles triangle.
Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=
Your answer would be B. -x² - 2x + 16
If we look at the terms separately, you can add them separately, so:
4x² + -5x² = -x²
0 + -2x = -2x
9 + 7 = 16
I hope this helps!
Answer:
Venus.
Step-by-step explanation:
The planet which comes closest to earth as it moves in its orbit is Venus.