Answer:
B. 
Step-by-step explanation:
Cos θ = Adjacent/hypotenuse
Adjacent = 7
Hypotenuse = √(23² + 7²) = √578 = 17√2
Thus:
Cos θ = 
Rationalize
Cos θ = 
Cos θ = 
Cos θ = 
Are their answer choices? There are infinitely many multiples of 5.
5, 10, 15, 20, 25, 30, 45, 50, 55, etc
Start by looking at the vertex form of a quadratic function, f(x) = a(x - h)^2 + k. The variables h and k are the values of the vertex. Plug those in to get f(x) = a(x - 4)^2 + 5. To find the variable a, plug in the point given for the x and y values. So, you get (21) = a((8) - 4)^2 + 5. Solve for a algebraically, and you get a = 1. Finally, plug everything in and simplify the equation. You should get that the quadratic function is f(x) = x^2 - 8x + 21. Hope this helps!
Answer:
Part 1) The actual length of the banner is 
Part 2) The area of the banner is 
Step-by-step explanation:
we know that
The scale of the drawing is 
That means ----> 1 cm on the drawing represent 30 cm in the actual
Using proportion
<em>Find out the actual dimensions of the banner</em>
Let
L the actual length of the banner
W the actual width of the banner
<u>For a length of 4 cm in the drawing</u>

Convert the actual length to meters

<u>For a width of 9 cm in the drawing</u>

Convert the actual width to meters

<em>Find the area of the banner</em>

Answer:
27 is the value of x.sorry it is hard to described without name