Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.
remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2
we said all side lengths are x so we can put x in for a and b and get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
that is the basic fundamental answer that will always work when working with diagonals of squares.
so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
First step of a synthetic divison is that we need to carry down the leading coefficient. Here the leading coefficient is 2. So, carry down 2 at the bottom.
Next step is to multiply the divisor -3 with this carry down number 2. So, we have got 3*(-2)= -6 which will place atthe bottom of the next coefficient 4.
Next step is to add this column.
Now repeat the same method again till the last colum.
At the end we have got 0 after the addition. Which means the remainder is 0.
So, the quotient is 2x^2-2x+2.
So the object of this problem is to find out the value of d.
To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.
No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.
So you would write the answer as:
5+3=4(2)
Answer:
or 
Step-by-step explanation:
The lateral area of a cylinder is calculated by the following formula

Where r is the radius of the right cylinder and h is the height
In this case we know that the diameter d of the cylinder is


Therefore the lateral area is:



Given :
Mr. Rivera pours 2 cups of blue paint into a jar for each art station.
1 cup = 8 ounces.
1 gallon = 128 ounces.
To Find :
How many jars can he fill with 1 gallon of blue paint.
Solution :
Since, a jar is filled with 2 cups.
1 jar = 2 × 8 = 16 ounces.
So, number of jars required to fill 1 gallon of blue paint is :

Therefore, 8 jars are required to fill 1 gallon of blue paint.
Hence, this is the required solution.