Answer:
Below in bold.
Step-by-step explanation:
sin 66.4 = opposite side / hypotenuse
sin 66.4 = 21.3 / y
y = 21.3 / sin 66.4
y = 23.24.
tan 66.4 = 21.3 / x
x = 21.3 / tan 66.4
x = 9.31.
Answer:
22 rooms
Step-by-step explanation:
If two gallons of paint covers 3 rooms then you need to divide 15 gallons of paint by 2 gallons of paint = 7.5 gallons of paint. then you need to multiply 7.5 gallons of paint by 3 rooms = 22.5..... so that means you can paint 22 full rooms.
С = πD
С = 3,14×40
С = 126 in ← <span>to the nearest inch </span>
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
Answer:
Any equation of the line with slope 2/3.
Parallel lines have identical slope.
Step-by-step explanation:
3y - 2x = - 24
3y = 2x - 24
y = 2/3x - 8