Answer:
13.) 314.2 in²
15.) 181.5 ft²
Step-by-step explanation:
The area of a circle is found using the equation:
A = πr²
In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).
For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".
A = πr²
A = π(10)²
A = π x (100)
A = 314.2 in²
For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.
diameter = 15.2 ft
radius = 7.6 ft
A = πr²
A = π(7.6)²
A = π x (57.76)
A = 181.5 ft²
The left sides of the equations are the same and the right sides of the equations are different, therefore the system of equations is inconsistent.
Answer: B. inconsistent.
Answer:
The length of the third piece of the ramp is;
D. 9.24 feet
Step-by-step explanation:
The given parameters are;
The height of the ramp = 8 feet
The angle between the piece that forms height and the base = 90°
The angle formed by the third piece connecting the height of the ramp to the furthest point and the 8 foot piece = 30°
Let 'y' represent the 8-foot piece forming the height, and let 'r' represent the third piece, by trigonometric ratio, we have;
Therefore, we get;
The length of the third piece, r ≈ 9.24 feet
Step-by-step explanation:
W=-6, x=1.2, and z=-6/7
(W²x-3)÷10-z
we substitute
((-6²)(1.2)-3)÷10-(-6/7)
((-36)(1.2)-3) ÷10-(-6/7)
(-43.2-3) ÷10(6/7)
(-46.2)÷60/7
-46.2÷60/7
-46.2*7/60
-46.2/1*7/60
-323.4/60
-5.39
Answer:
1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) 4. Secant (sec) 5. Cosecant (csc) 6. Cotangent (cot) These functions are used to relate the angles of a triangle with the sides of that triangle.
Step-by-step explanation:
