Answer:
angle V = 60 degrees
angle U = 90 degrees
angle W = 30 degrees
This is the last option
Explanation:
Part a: getting angle U:
Let's start by doing the Pythagorean check:
hypotenuse = sqrt [(side1)^2 + (side2)^2]
side1 = 3√3 and side2 = 3 cm
Substitute in the above equation:
hypotenuse = sqrt [ (3√3)^2 + (3)^2]
hypotenuse = 6 cm
This proves that the given triangle is right-angled at U
Therefore:
measure angle U = 90 degree
Part b: getting angle V:
cos theta = adjacent / hypotenuse
theta is angle V
adjacent side = 3 cm
hypotenuse = 6 cm
Therefore:
cos V = 3/6 = 1/2
V = 60 degrees
Part c: getting angle W:
We can get this using two methods:
Method 1:
Angles of triangle = 180
180 = 90 + 60 + angle W
angle W = 180 - (90+60) = 30 degrees
Method 2:
cos theta = adjacent / hypotenuse
theta is W
adjacent = 3√3 cm
hypotenuse = 6 cm
Therefore:
cos W = 3√3 / 6 = √3 / 2
W = 30 degrees
Hope this helps :)
Answer:
59
Step-by-step explanation:
If we convert from degrees into radians, we can use the formula
, where s is the arc length, r is the radius and θ is the angle in radians.
To convert from degrees to radians, we multiply by 
So 
is our angle in radians, and we have the radius - we can now plug in these two values into our equation.
It’s D)18 I hope this helps
Answer:
The graph of g(x) is the graph of f(x) stretched by 3 and shifted 8 units up
Step-by-step explanation:
Given
Required
Compare g(x) and f(x)
We have:
Rewrite as:
![g(x) =3[x^2] + 8](https://tex.z-dn.net/?f=g%28x%29%20%20%3D3%5Bx%5E2%5D%20%2B%208)
Substitute:
This means that:
<u>3f(x)</u>
f(x) is stretched vertically by a factor of 3
<u>+8</u>
Then shifted upwards by 8 units to give g(x)
Answer:
An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal
