Answer:

Step-by-step explanation:
Using the Pythagorean identity
sin²x + cos²x = 1, then
sinx = 
Note that (
)² = 
sinΘ = 
=
= 
If the time taken by 14 inches wide is one hour then the blade of 12 inches wide will take 1 hour 17 minutes to mow a lawn.
What is width?
The width of something is the measurement of one side of a body. It is generally less than length of that body or shape.
How to calculate time?
We have been given time of 1 hour if blade is 14 inches wide and we have to calculate time taken by 12 inches wide blade:
It will be as 14/12* 1 hour
=14/12
=1.167
=1.17 hour
Hence the time taken by the blade of 12 inches wide will be 1 hour and 17 minutes.
You'd do $0.50 × 11 = $5.50 which is the total cost for the rides, and then you'd add $6 to make $11.50 which is the total amount you spent.
You just need to use your test-taking skill to eliminate the wrong answers here.
There is no such thing as a "Congruent Angles Postulate," so the last two choices can be eliminated.
The AA Similarity Postulate refers to triangles, not angles, so the second choice can be eliminated.
That only leaves the (correct) first choice.
Answer:
4 / 3
Step-by-step explanation:
cos θ = 3 / 5
cos 53 = 3 / 5
θ = 53
tan θ = sin θ / cos θ
sin 53 = 4 / 5
tan 53 = sin 53 / cos 53
= ( 4 / 5 ) / ( 3 / 5 )
= ( 4 / 5 ) x ( 5 / 3 )
= ( 4 x 5 ) / ( 5 x 3 )
tan 53 = 4 / 3