Answer:
<h3>b</h3>
Step-by-step explanation:
Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
Answer: 25
Step-by-step explanation:
21 + 18 +16 + X = 20×4
55 + X = 80
X = 80- 55
Answer:
The equation of the function in slope-intercept form is y = 3 x + 5 .
Step-by-step explanation:
Given as :
A line passes through the point ( - 1 , 2 )
i.e ( x , y ) = ( - 1 , 2 )
The slope of the line is 3
The equation of line in slope intercept form
y - 
= m ( x - 
)
Where m is the slope of the line
So, y - 2 = 3 ( x - ( - 1 ) )
Or, y - 2 = 3 ( x + 1 )
Or, y - 2 = 3 x + 3
Or, y = 3 x + 3 + 2
∴ y = 3 x + 5
Hence The equation of the function in slope-intercept form is y = 3 x + 5 . Answer
Answer:
Height of the building ≈ 947.34 ft
Step-by-step explanation:
Jack eyes are 5 ft above the ground .He is standing 500 ft from the base of a building .His line of sight forms angle with the top of the building at 67°. The height of the building can be computed below.
The illustration forms a right angle triangle. The opposite sight of the triangle is the unknown. The height of the building can be found by using the tangential ratio.
adjacent = 400 ft
angle = 67°
tan 67° = opposite/adjacent
tan 67° = a/400
cross multiply
a = 400 tan 67°
a = 400 × 2.35585236582
a = 942.34094633
Adding 5 ft to the total height of the building will be 5 + 942.34094633 = 947.34094633
Height of the building ≈ 947.34 ft
