Answer:
Step-by-step explanation:
AC² + AP² = PC²
AC² + 5² = 13²
AC = 12
radius = AC/2 = 6
180 is the speed of the motorboat. I don't know the speed of the current.
........................................
120÷4=30
30×6=180
Both f(x) and g(x) have the same domain of (9,-infinity).
<h3>What is a function?</h3>
A function is an expression that shows the relationship between two or more numbers and variables.
Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:
Both f(x) and g(x) have the same domain of (9,-infinity).
Find out more on function at:
brainly.com/question/25638609
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Answer:
Given - PS is parallel to QR
angle QPS is congruent to angle SRQ
To prove - PQ is congruent to RS
Solution -
In triangle PSQ and SQR
Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)
Angle P = Angle R (given)
SQ = SQ ( common)
PSQ = SQR ( prove above)
By ASA Congruence criteria Triangle PQS is congruent to triangle QRS
By CPCT PS is congruent to RS
Hence, Proved
Answer:
15.1
Step-by-step explanation:
We know that the area of the circle is
, but we are looking for the portion of the circle, this means we multiply it by the portion of the circle that is shaded.
Area of shaded region = ![\pi r^{2} (\frac{x}{360} )](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20%28%5Cfrac%7Bx%7D%7B360%7D%20%29)
where r = 4 and x = 108, the 360 comes from the fact that the total degrees around the circle is 360, so dividing the total amount of degrees by the angle will give us the portion we are looking for.
Area of shaded region =
= 15.1
Another way to think about it is that the area of the total circle is
, multiplying it by a fraction, a number less than 1, would give us a smaller value.
Hope this helps.