Answer:
The first option is the correct one, the area of the shaded portion of the circle is
[/tex](5 \pi -11.6)ft^2[/tex]
Step-by-step explanation:
Let us first consider the triangle + the shadow.
The full area of the circle is the radius squared times pi, so
A=
Since
, the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from
.
The area of the triangle is given by

Thus the area of the shaded portion of the circle is

62,235 is the correct standard form
Answer:
33.3 in²
Step-by-step explanation:
Apply the formula for finding the area of triangle that has an included angle and two given sides, which is, Area = ½*a*b*Sin*C
Where,
a = 7 in
b = 13 in
C = 133°
Plug in the values
Area = ½*7*13*Sin(133)
Area = 33.2765935 ≈ 33.3 in² (nearest tenth)
Answer:
The roots of given quadratic equation lies from 
Step-by-step explanation:
Given as :
The quadratic equation is x² - x -6 = 0
The quadratic equation is in form of ax² + bx +c = 0
Let x1 and x2 be the roots of equation
Sum of roots
So,
And products of roots is x1 × x2 = 
So,
Or, x1 + x2 = 1 ......A
And x1 × x2 = 
Or, x1 × x2 = - 6
Now, (x1 - x2)² = (x1 + x2)²+ 4×x1×x2
Or, (x1 - x2)² = (1)²+ 4×6
Or, (x1 - x2)² = 25
So , x1 - x2 =
= 5 ......B
Now solve eq A and eq B
Or, (x1 + x2) + (x1 - x2) = 1 +5
Or, 2 x1 = 6
∴ x1 = 3 And x2 = - 2
Hence The roots of given quadratic equation lies from
Answer
Answer:
Scale used for drawing is 1 cm = 1.75 m
Step-by-step explanation:
An architect makes a scale drawing of a house.
Actual width of porch = 7 meters
Width of porch on drawing = 4 cm
So, Actual width = Drawing width
So, 4 cm = 7 m
1 cm = 1.75 m
So, Scale: 1 cm = 1.75 m
So, Option B is correct
B)1 cm = 1.75 m
Hence scale used for drawing is 1 cm = 1.75 m