Answer:
m∠3 = 24°
Step-by-step explanation:
By the theorem,
"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."
In the given picture,
∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.
Therefore, m∠3 = 
m∠3 = 
= 24°
Measure of angle 3 is 24 degrees.
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
We know, volume of rectangular prism is given by :
Volume of cubic box :
Number of cubes can be filled :
Therefore, 16 cubes can be put in the bin.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
Alright all we need to know is to understand our brackets
So 3+{2×(8-4+6)}-5-{9+4-[3×(1-5)]}
3+20-5-9+4-3(1-5)
Step 2
3+20-5-9+4-3(1-5) Simplify
18-9+4-3(1-5)
Step 3
18-9+4-3(1-5)
13-3(1-5)
13-(-12) Here is the tricky part (We aren't going to subtract because the brackets multiply the equations
So,
13+12=25
Your answer is 25
