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
The formula for the volume of a cone is
v = ( 1 / 3) h pi r^2
where h is the height of the cone
pi is 3.1416
r is the radius of the cone
since diameter is given
D = 2r
r = D/2 = 4/2 = 2 in
substitute the given
V = (1/3) (6) (3.1416) (2^2)
V = 25.1 cubic in
Answer:
5(2x-1) = 5(2x) - 5(1)
Step-by-step explanation:
The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.
It can be written as:
a(b+c) = ab + ac
or
a(b-c) = ab - ac
So, for the given question,
=>5(2x-1) = 5(2x) - 5(1)
Answer: 44 boys and 40 girls
Step-by-step explanation:
x = number of girls
x + 4 = number of boys
x + x + 4 = 84
2x + 4 = 84
2x = 80
x = 40
84 - 40 = 44