Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
For linear equations we use:
p=mx+b ------ (1)
Now we have the following coordinates:
(x1,p1)= (1000,280) and (x2, p2)=(5000,400)
First we need slope (m)
m= 
= 
Now we will plug the value of m in the first equation
=> 
=> b = 250
Now plug into p=mx+b using only m=0.03 and b=250
When the unit price is $440, we can plug in 440 in for p;
=> 
=> 
=> x = 6333 refrigerators
The lowest price at which a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.
=> p = $250
Ur graph.....u have a line that has a y int of -2....it has a slope of 3....it has a solid line...so there is no equal sign...it is shaded above the line, so it is greater then.....y > = 3x - 2
u have another line that has a y int of 2....it has a slope of -1/2....it has a solid line...so there is an equal sign in the problem...it is shaded below the line...so it is less then....
y < = -1/2x + 2
1/2x + y < = 2...multiply by 2
x + 2y < = 4
so ur answer is : y > = 3x - 2 and x + 2y < = 4...the 2nd one
5th grade. ( my little sister)
