Answer:
B
Step-by-step explanation:
Answer:
The size of side x can range from 0.5 < x < 16.5.
The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.
Step-by-step explanation:
Complete Question
What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.
Solution
With the logical assumption that the three sides are to form a triangle
Let the two sides given be y and z
And the angle between y and z be θ
The angle θ can take on values from 0° to 180° without reaching either values.
As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y
It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.
Hence, x > (z−y)
x > 8.5 - 8.0
x > 0.5
As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).
Hence x < (y+z)
x < 8 + 8.5
x < 16.5
Hope this Helps!!!
Answer:
Step-by-step explanation:
1) First of all, we are going to see what is the area of each element of the box.
The area of the base is x² (because x is the length of the side of the square base).
The area of the top is x² as well.
Now, the area of each side will be x·h where h is the height of the box. The box has 4 sides so the total area of the sides will be 4x·h
However, we can express h in terms of x because we have the total volume of the box:
V = (base area) · height = 50 ft³
50 = x²h
50/x² = h
Therefore, the area of the 4 sides will be:
2) Now we are going to find the function giving the cost of constructing the box:
To find the function, we are going to use the prices we are given.
The price of the base, top and sides will be (for each of them): (price per ft²)(area in ft²)
Therefore the function to find the price (in cents) would be:
ANSWER
EXPLANATION
Let
be the equation.
We can choose any two ordered pairs to determine the equation of the relation.
We find m using the formula;
The equation becomes
When x=6, y=15.
This implies that,
The equation of the relation is therefore,
Answer:
15
Step-by-step explanation:
x2