This is the concept of linear proportionality, we are required to calculate the actual length between two buildings which have a distance of 1.7 cm when drawn to scale of 1 cm: 2.5 km. This can be calculated as follows;
actual distance= (distance on the map)*(scale factor)
actual distance=1.7*2.5=4.25 km
The answer is 4.25 km
Answer:
Step-by-step explanation:
Given
See attachment
Solving (a): 
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Make the subject
Substitute 
for 
Solving (b): 
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Solving (c): 
To solve for , we make use of:
The relationship between both angles is that they are alternate exterior angles.
So:
Answer:
0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time
Step-by-step explanation:
For a randomly selected student, we have these following probabilities:
0.55 probability that they always recicle.
0.25 probability that they usually recicle.
0.15 probability that they recicle only when it's convenient.
0.05 probability that they never recicle.
What is the probability that a randomly selected student at this university recycles at least some of the time?
Always, usually or only when it's convenient.
0.55 + 0.25 + 0.15 = 0.95
0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time
Answer:
44.1
Step-by-step explanation:
Cosine = Adjacent over Hypotenuse
Adjacent of ∠T = 28 and hypotenuse = 39
Which means that 
Now we solve for x
To get rid of the "cos" we take the inverse of cos ( which is 
) and apply it to each side
We're left with x = 44.11461855
Our last step is to round to the nearest tenth and we get that the answer is 44.1
Answer:
B (-11, 7) C (11, 7)
Step-by-step explanation:
