u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,

⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
The order doesn't matter.
objects can be chosen out of
objects, when the order doesn't matter, in
ways.
So, the answer is
ways.
Answer:
y= (-1)*x
Step-by-step explanation:
lets assume that the line equation is
y=m*x +b
where m is the slope and b the independent variable that intercept Y axis.
then replacing the value of m:
y=(-1)*x + b
after that we have to look for the value of b. Its obtained replaicing the given point (8,-8):
-8 = (-1)*(8) +b
-8 = -8 + b
0 = b
Therefore the equation of the line is:
y= (-1)*x
The lateral surface area of the cylinder is option A) 251.3 cm²
<u>Step-by-step explanation:</u>
It is given that,
- The height of a cylinder is 5 centimeters.
- The diameter of the base of the cylinder is 16 centimeters.
<u>To find the radius of the cylinder :</u>
Radius = Diameter / 2
⇒ 16/2
⇒ 8 centimeters.
- The radius of the cylinder is 8 centimeters.
<u>To find the lateral surface area of the cylinder :</u>
The lateral surface area of the cylinder = 2πrh
where,
- π the default value of 3.14
- r is the radius
- h is the height
∴ The lateral surface area of the cylinder = 2×3.14×8×5
⇒ 251.3 cm²
Sense its 10 feet apart and there is 130 feet of stright line fence it will be 13 posts