Answer:
Plane B was farthest away from the airport
Step-by-step explanation:
This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.
<u>In plane A</u>
The take-off angle is 44° and the height gained is 22 ft.
Apply the relationship for sine of an angle;
Sine Ф°= opposite side length÷hypotenuse side length
The opposite side length is the height gained by plane which is 22 ft
The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse
Applying the formula
sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse
31.67 miles
<u>In plane B</u>
Angle of take-off =40°, height of plane=22miles finding the hypotenuse
34.23miles
<u>Solution</u>
After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport
After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport.
Answer:
Average rate of change is <u>0.80.</u>
Step-by-step explanation:
Given:
The two points given are (5, 6) and (15, 14).
Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.
The average rate of change for two points is given as:
Plug in and solve for 'R'. This gives,
Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.
x = 15 and y = 12
4x + 2 = 62 ( alternate congruent angles )
subtract 2 from each side
4x = 60 ( divide both sides by 4 )
x = 15
12y = 144 ( alternate congruent angles )
divide both sides by 12
y = 12
Answer:
Pretty sure it's C.
Step-by-step explanation:
A and B are 6 units away from each other.
Answer:
He didn't calculate the b-value correctly.
Step-by-step explanation:
The given parent function is:
The transformation is of the form:
The period is given by
If we want the new function to have a period of
Then we solve the following equation for b.
will translate the graph horizontally to the right by
units.
+d shifts the graph up by d units.
The new function then becomes: