Answer:
5x(7x-5)
Step-by-step explanation:
5 goes into both
Then you need what you times five by for each one - 7 and 5
Add an extra x for the 35x²
5x(7x-5)
Answer:
The length of the slant height of the square pyramid is 20 in.
Step-by-step explanation:
The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces.
The general formula for the lateral surface area of a regular pyramid is

where
represents the perimeter of the base and
the slant height.
From the information given we know that:
- The lateral surface area of a square pyramid is 440 in².
- The area of the base is 121 in².
And we want to find the the slant height of the pyramid.
For this, we also need to know that the area of a square is given by
, where <em>s</em> is the length of any side and the perimeter of a square is given by
.
Applying the formula for the area of a square we can find the length of the side

The perimeter of the base is

Next, we can apply the formula for the lateral surface area and solve for
the slant height.

The length of the slant height of the square pyramid is 20 in.
Answer:

Step-by-step explanation:
We can use the exponential growth formula:
y = a(1+r)ˣ
where
y = amount after x time
a = initial amount
r = growth rate as a decimal fraction
x = number of years
Data:
a = 170 000
r = 0.04
Calculations:

The figure below also shows that the population will grow to about 272 000 in 12 yr.
n, n + 2 - two consecutive even integers
the sum of two consecutive even integers is greater than or equal to 34
n + (n + 2) ≥ 34
n + n + 2 ≥ 34
2n + 2 ≥ 34 <em>subtract 2 from both sides</em>
2n ≥ 32 <em>divide both sides by 2</em>
n ≥ 16
<h3>Answer: The smallest possible integers is equal 16.</h3>