Answer
Area of the figure = 105.12 ft²
Explanation
The figure shown is a combination of a rectangle with length 10 ft. and width 8 ft., with a semicircle that has diameter 8 ft., which translates to a radius of 4 ft.
The area of the figure = (Area of the rectangle) + (Area of the semicircle)
Area of rectangle = L × W
L = Length = 10 ft.
W = Width = 8 ft.
Area of the rectangle = 10 × 8 = 80 ft²
Area of semicircle = Half of the area of a circle = ½ × πR²
π = pi = 3.14 (According to the question)
R = Radius of the semicircle = 4 ft.
Area of semicircle = ½ × 3.14 × 4² = 25.12 ft²
Area of the figure = 80 + 25.12 = 105.12 ft²
Hope this Helps!!!
A curve that is an intersection of the surface of a cone with a plane.
Answer:
7.5 should be the answer sorry if its wrong i don't have all of the information
C = 56.55n <== this is ur equation
The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Step-by-step explanation:
The given is,
Right angled triangle,
Side lengths are 8, 15, and 17
Step:1
The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,
Ref the attachment,
For angle a,
...................................................(1)
Where, Opp - 8
Hyp - 17
From equation (1),
= 0.470588
(0.470588)
a = 28.072°
For angle b,
...................................................(1)
Where, Opp - 15
Hyp - 17
From equation (1),
= 0.882352
(0.882352)
b = 61.93°
Step:2
Check for solution for right angle triangle,
90 ° = Other 2 angles
90 ° = a + b
90 ° = 28.072° + 61.93°
90 ° = 90 °
Result:
The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.