Answer:
the study in which observations are made, experiments are done and logical conclusions are drawn in order to understand the principles of nature.
#9 You have to make the fraction a decimal, then multiply 11.8 by 6.5. This is because 11.8 is per hour.
#10 here is a hint, one quarter of an hour is 15 minutes. again change the fraction to a decimal
#11 just multiply the 2 numbers
1.4
×2.9
---------
126
+ 280
------------------
3.06
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014
% = (Change/Original) * 100
= (6/24) * 100
= (0.25) * 100
= 25%
Answer:
see explanation
Step-by-step explanation:
Given
tan a =
= 
We require the hypotenuse h
Using Pythagoras' identity
h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )
h =
= 41 , thus
sin a =
= 
cos a =
= 