Answer:
No
Step-by-step explanation:
2 = 3 inches
2x5=10
10 = 3x5 of 15 inches
so no and it would take 8 minutes to fill up the tub
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
__
Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
The question is an illustration of right-angled triangles.
- <em>The length of RF is 49.1 m</em>
- <em>The length of SR is 65.5 m</em>
- <em>The elevation from S to T is 30 degrees</em>
See attachment for the sketch
<u>(a) Show that RF = 49.1</u>
Considering 
We have:
---- tangent ratio
This gives:
Make RF the subject
Approximate
<u>(b) Calculate SR</u>
Considering 
We have:
---- Pythagoras theorem
This gives
Take square roots
<u>(c) The elevation from S to T</u>
To do this, we make use of tangent ratio from 
Take arc tan of both sides
Read more about right-angled triangles at:
brainly.com/question/3770177
Step-by-step explanation:
(10n² − 250) / (3n + 15)
Factor 10 from the numerator, and 3 from the denominator.
10 (n² − 25) / (3 (n + 5))
Factor the difference of squares:
10 (n − 5) (n + 5) / (3 (n + 5))
Divide n + 5 from the top and bottom:
10 (n − 5) / 3
