Answer: X = 57.5
Step-by-step explanation:
3x - 65 + x + 15 = 180
4x - 50 = 180
4x = 230
x = 57.5
Answer:
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
To find out how much area of carpet is left after putting the table in place, subtract the area of the table from the area of the carpet
Remember that
The area of a circle is equal to
step 1
Find the area of the carpet
we have
----> the radius is half the diameter
assume
substitute
step 2
Find the area of the circular table
we have
----> the radius is half the diameter
assume
substitute
step 3
Subtract the areas
Answer:
C. 54π + 20.25√3 cm²
Step-by-step explanation:
The shaded area can be split into two areas: a sector and an isosceles triangle.
Area of a sector is:
A = (θ/360°) πr²
where θ is the central angle and r is the radius.
Area of an isosceles triangle can be found with SAS formula:
A = ½ ab sin θ
where a and b are two sides of a triangle and θ is the angle between them.
In this case, r = a = b = 9 cm. The central angle of the sector is 240°, and the vertex angle of the triangle is 120°. Therefore, the total area is:
A = (240°/360°) π (9 cm)² + ½ (9 cm) (9 cm) sin 120°
A = 54π + 20.25√3 cm²
Answer:
Step-by-step explanation:
Using the point slope equation of a line to solve the question
y-y0=m(x-x0) where (x0,y0) is the point and m is the slope of the unknown line perpendicular to the given line.
Rewriting the equation given in the form y = MX+c
2x+5y+8 = 0
5y = -8-2x
y = -8/5-2x/5
From the equation, m = -2/5
Since the unknown line is perpendicular to the give line, the slope of the given line will be;
M = -1/(-2/5)
M = 5/2
Substituting the point and the slope into the equation above
y-(-6) = 5/2(x-(-3))
y+6 = 5/2(x+3)
y+6 = 5x/2+15/2
2y+12 = 5x+15
2y-5x = 15-12
2y-5x = 3 gives the required equation of the line