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.
Answer:
C
Step-by-step explanation:
You can start by "filling up" all of the bigger boxes. 75*14=1050 cupcakes, which when subtracted from the total initial amount leaves 400 cupcakes for the smaller boxes. The smallest multiple of 13 smaller than 400 is 390, which is 10 smaller than 400. Therefore, there will be 10 cupcakes left over, or answer choice C. Hope this helps!
Answer:
6+2+3+3+3+5=22 is a correct answer
Answer:
is the answer.
Step-by-step explanation:
The question has some typo errors.
Rashid and Mikhail submitted a total of x pastries to a baking competition.
Suppose say :
Mikhail made x pastries .
Hence Rashid made 
pastries.
And in total they made 
pastries.
Now we have that out of x, 
of x were brushed with olive oil.
So, 
of x that is 
are brushed by butter.
So, it becomes 
= 
=
Hence, answer is option B.
