A=l√[(w/2)²+h²+w]+w√[(l/2)²+h²]
where
l is base length
w base width
h is height
given that the slant side of our pyramid is 856.1 ft with square base of 145 ft, the height of the pyramid will be found by Pythagorean theorem.
c²=a²+b²
hence:
856.1²=a²+72.5²
a=853.025 ft
The Lateral area is therefore going to be:
A=145√[(145/2)²+856.025²+145]+145√[(145/2)²+856.025²]
A=249,136.0025 ft²
Answer:
The surface area of the box if it is scaled up by a factor of 10 is <u>7400 in²</u>.
Step-by-step explanation:
Given:
The surface area of the box is scaled up by a factor of 10.
Surface area is 74 in².
Now, to find the dilated surface area of the box.
As the figures are same of the box so the surface area of original box is equal to square of the dilated box.
So, let the surface area of the dilated box be .
Let the surface area of the original box be .
And let the scale factor be .
Thus,
By cross multiplication we get:
Therefore, the surface area of the box if it is scaled up by a factor of 10 is 7400 in².
9514 1404 393
Answer:
- C. (-∞, -2)∪(-2, 1)∪(1, ∞)
- A. The first 12 are $2 ea; $1 ea after
Step-by-step explanation:
1. The denominator in the first part of the function definition factors as ...
x² +x -2 = (x -1)(x +2)
This has zeros at x = -2 and x = 1, which will be values of x excluded from the domain. (These zeros are in the domain x < 2, which is applicable to this part of the function definition.)
The second part of the function definition is defined for all x ≥ 2, so the only exclusions are x = -2 and x = 1. The domain of the piecewise function is ...
(-∞, -2)∪(-2, 1)∪(1, ∞)
__
2. It is helpful to take a look at the graph to see what the axis labels are. The x-axis is labeled "number of cupcakes", so "12" on that axis means "12 cupcakes". The y-axis is labeled "total cost", which we are to presume is in dollars. That means the slope of the graph is Δy/Δx = "dollars per cupcake", the cost of one cupcake.
We observe that the slope of the graph decreases at x=12. This means the cost of a cupcake goes down after 12 are purchased. The appropriate description is ...
The first 12 cupcakes cost $2 each, and all cupcakes after that cost $1 each.
(The other choices have either increasing slope at the breakpoint, or a different breakpoint, or both, so cannot be right.)
It goes in 5 times but with 1 remainder
Answer:
Completing the square we get:
and factoring the term we get:
Step-by-step explanation:
We need to complete the square for the expression
For completing the square the expression would be of form
For given expression we have to add (2)^2 and subtract to make it complete the square.
Now, we have to factor the polynomial using formula
So,
Completing the square we get:
and factoring the term we get: