The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
Answer:
1.98
Step-by-step explanation:
In this problem, we are:
Given: ∠D = 26°, Hypotenuse (DF) = 4.5
To solve: EF
Now through the given, we are to focus on point D to solve for EF.
We need to find the relationship of point D to DF and EF.
The relationship here is sine.
Reason:
Through point D, DF is the hypotenuse and EF is the opposite side.
So let's solve this simply through algebra,
sin =
sin(26°) =
0.44 =
0.44 × 4.5 = EF
1.98 = EF
Answer:
$36.01
Step-by-step explanation:
141.82 - 8.25 = 133.57
133.57-97.56=36.01
No solutions exist. Set the function equal to 0. x^2= -25. There are no real solutions to this equation.