Answer:
14units
Step-by-step explanation:
Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).
Using the formula for calculating distance between two points;
AB =√(5-1)²+(3-3)²
AB = √4²
AB = 4
BC = √(5-5)²+(6-3)²
BC = √3²
BC =>3
CD = √(1-5)²+(6-6)²
CD = √(-4)²
CD = √16
CD = 4
AD= √(1-1)²+(6-3)²
AD = √3²
AD = √9
AD =3
Perimeter of the rectangle = AB+BC+BD+AD
Perimeter of the rectangle = 4+3+4+3
Perimeter of the rectangle = 14units
The sum of the angles <6 and <3 must be 180. Since <3 and <1 are opposed to the top, their measure are equal. We need then to calculate the measure of angle >3 = 180 - <6 = 180-85=95
m(<1) = 95
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = 
(where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
Answer:
4 7/8 or 4.875
Step-by-step explanation:
1 1/4 + 3 5/8 = 4 7/8 or 4.875
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