This problem is better understood with a given figure. Assuming
that the flight is in a perfect northwest direction such that the angle is 45°,
therefore I believe I have the correct figure to simulate the situation (see
attached).
Now we are asked to find for the value of the hypotenuse
(flight speed) given the angle and the side opposite to the angle. In this
case, we use the sin function:
sin θ = opposite side / hypotenuse
sin 45 = 68 miles per hr / flight
flight = 68 miles per hr / sin 45
<span>flight = 96.17 miles per hr</span>
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
We need to find the slope, m, and the y-intercept, b.
The line we need is perpendicular to the line 2x + y = 8.
<em>The slopes of perpendicular lines are negative reciprocals.</em>
We solve the given equation for y to find the slope of the given line.
2x + y = 8
y = -2x + 8
The given line has slope -2.
The negative reciprocal of -2 is 1/2.
Our line has slope, m = 1/2.
Now we have
y = 1/2 x + b
Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.
y = 1/2 x + b
3 = 1/2 * (-2) + b
3 = -1 + b
4 = b
b = 4
Now we have
y = 1/2 x + 4
Answer:
Answer:
31%
Step-by-step explanation:
hope this helps
2/4 = 3/6 is true.
First, simplify the fractions:
2/4 = 1/2
3/6 = 1/2
We see that 1/2 = 1/2, so 2/4 DOES equal 3/6.
Answer:
Step-by-step explanation:
1) √2 + 2√2 = ( 1 + 2 ) √2 = 3*√2 = 3√2
4) √8 + √2 = √2*2*2 + √2 = 2√2 + √2 = ( 2 +1 ) √2 = 3√2
7) 2√5 - √5 = (2 - 1)√5 = 1 √5
10 3√5 - 2√5 = (3 - 2) √5 = 1√5
