Order of operation 24 - 8 ÷ 4
2 answers:
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Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to
So x = 2.2 and y = 22.
The volume of the cylinder is; 128π in3
Base area(πr^2)*height
Π = 3.14
Therefore; 3.14 * 4^2 * 8
3.14 * 128
= 401.92 in3
The general formula for the lateral surface area of a regular pyramid is:
Where:
p=perimeter of a base
l=slant height
a.
a=3ft
l=4ft
p=5*a=5*3=15ft
b.
a=2.5ft
l=4ft
p=6*a=6*2.5=15ft
c.
a=1.9ft
l=4ft
p=8*a=8*1.9=15.2ft
d.
Based on a lateral surface area the blue umbrella is best choice. But, the best umbrella overall is the one with the greatest base area. General formula for regular polygon is:
For pentagon:
A=15.48ft^2
For hexagon:
A=16.24ft^2
For octagon:
A=17.43ft^2
Blue umbrella is still best choice.
Where:
p=perimeter of a base
l=slant height
a.
a=3ft
l=4ft
p=5*a=5*3=15ft
b.
a=2.5ft
l=4ft
p=6*a=6*2.5=15ft
c.
a=1.9ft
l=4ft
p=8*a=8*1.9=15.2ft
d.
Based on a lateral surface area the blue umbrella is best choice. But, the best umbrella overall is the one with the greatest base area. General formula for regular polygon is:
For pentagon:
A=15.48ft^2
For hexagon:
A=16.24ft^2
For octagon:
A=17.43ft^2
Blue umbrella is still best choice.