Answer:
it should be 47
Step-by-step explanation:
Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.
For this one the answer is -2x-6
Answer:


Step-by-step explanation:
Given
Let g represent the green marbles
Let y represent the y marbles
Required
Determine the relationship between both marbles
The question says that y is 2 less than twice of g
This implies that: 
The question further states that, Sarah has a total of 16 marbles;
This implies that 
So, the system of equation that defines the relationship between y and g are:
y = 2g - 2
y + g = 16
Answer: Their balance at the beginning of their second month is $2803.86.
Step-by-step explanation:
Since we have given that
Amount on credit card = $2745.69
APR on credit card = 12.75%
Late fee = $29
According to question, they miss their minimum payment .
So, their balance at the beginning of their second month is given by

Hence, their balance at the beginning of their second month is $2803.86