Answer:
U =35.5
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan theta = opp/ adj
tan U = 5/7
Take the inverse of each side
tan ^-1 tan U = tan ^-1 (5/7)
U = 35.53767779
Round to the nearest tenth
U =35.5
Answer:
x1= -7 , x2 = 7
Step-by-step explanation:
x^2 = 37 +12
x^2 = 49
x = -7 or 7
Answer:
42.43 
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-
<u>As here length an width both are 11 cm, we can say that this is a square.</u>
<u />
Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429
Therefore, the area of the shaded region will be 42.43
The answer would be A = 54raiz (3) + 18raiz (91)
Formula:
A = Ab + Al Where, Ab=base area A= lateral area
The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)
The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)
The total area is: A = 54raiz (3) + 18raiz (91)
Answer:
v < -11
Step-by-step explanation:
- Combine like terms: 3v - 5v > 12 + 10
- Simplify: -2v > 22
- Divide each side by -2 to cancel out the -2 next to v. It should now look like this: v < -11
I hope this helps!
