Answer:
x ≈ 10.7 ft.
Step-by-step explanation:
Given triangle in the picture is a right triangle.
By applying Pythagoras Theorem in this triangle.
(Hypotenuse)² = (Leg 1)² + (Leg2)²
(14)² = x² + 9²
x² = (14)² - 9²
x = 10.72
x ≈ 10.7 ft.
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1 answer:
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Answer:
51.9 cm²
Step-by-step explanation:
From the diagram attached,
Area of the white region(segment)(A) = Area minor sector- area of the triangle
A = (πr²∅/360°)-(1/2r²sin∅)............... Equation 1
Where r = radius of the circle, Ф = reflex angle formed at the center of the circle, π = pie
From the question,
Given: r = 7 cm, Ф = 150°
Constant: π = 22/7
Substitute these values into equation 1
A = [(22/7)×7²×150/360]-[(1/2)×7²×sin150]
A = 64.17-12.25
A = 51.92
A = 51.9 cm²
Answer:
y = - x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7)
m = =
= -
Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = - x - 5 ← equation of line