Answer:
Option D 74°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
The arcs that the outer angle encompasses are
254° and (360-254)=106°
therefore
∠x=(1/2)[254°-106°]
∠x=(1/2)[148°]
∠x=74°
Answer: B. Probability
For example, let's say you want to know the probability of flipping tails.
There's 1 way to get tails out of 2 sides total. So 1/2 = 0.5 is the probability of flipping tails.
We define "success" as "getting tails".
Answer:
Hydrostatic Force = 35.28KN
Step-by-step explanation:
To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.
Formula for a thin horizontal slice of the triangle the force is;
δF=ρgxwδx
Where w is width of triangle; ρ is density of water and g is acceleration due to gravity
At depth x, the width of the triangle is w=2/3x.
Thus, F = (3,0)∫)ρgxwδx
=(2/3)ρg[(3,0)∫)x²δx]
= integrating, we have;
F = (2/3)ρg[(3³/3) - (0³/3)]
F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN
Let the two numbers be x and y
As given, the difference of two numbers is 3, so
or 
....(1)
And their sum is 25, so
.....(2)
Putting x=3+y in equation (2)
As, x+y=25
So the two numbers are = 14 and 11
Answer:
244 inches squared
Step-by-step explanation:
basically just subtract the area of four rectangles by the total area of cardboard. so you would get 500-256=244
