Answer:AGC and DGH are opposite angles.
Step-by-step explanation:
So, Y+10=3x-40
Y-3x=-50-(1)
3x-40=2x
3x-2x=40
x=40
Y-3x40=-50
y-120=-50
y=-50+120
y=70
Hence, the answer is A 70°
Answer:

Step-by-step explanation:
Given



Required
Determine 
From laws of probability, we have:

Substitute in values


Hence,
<em> is calculated to be 0.557</em>
Answer:

Step-by-step explanation:
We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.
We know that direction of vector with components
can be determined by
.
Upon substituting the components of given vector in above formula, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the direction angle for vector v is 31 degrees.
Answer:
Part A:
P(x)=15x^4+30x^3-50
Part B:
P(4)=$4270
Step-by-step explanation:
Part A:
In order to find the profit function P(x) we have to integrate the P'(x)
P'(x)=x(60x^2+90x)
P'(x)=60x^3+90x^2

P(x)=15x^4+30x^3+C
when x=0, C=-50
P(x)=15x^4+30x^3-50
Part B:
x=4
P(x)=15x^4+30x^3-50
P(4)=15*4^4+30*4^3-50
P(4)=$4270
Profit from selling 400 pounds is $4270
The answer is b,a,c
the reason I know this is because the angle opposite to the largest side is the greatest angle, the angle across from the smallest side is the smallest angle