1.) 40, 2.) 8, 3.) 18, 4.) 15, 8.) 12, 9.) 30, 10.) 72, 11.) 36
You are trying to solve what percent of the difference between $26.60 and $18 is of $24.60, so:
$24.60 - $18 = $6.60
24.60x = $6.60
x = 6.60/24.60
x = 0.2683
So the percent increase is 26.83%
Answer: 7.81 feet
Step-by-step explanation:
This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.
This can therefore be solved by the Pythagorean formula:
c² = a² + b²
where ;
c = hypotenuse
a = height
b = length
c² = 5² + 6²
c² = 25 + 36
c² = 61
c = √61
c = 7.81 feet
Step-by-step explanation:
you could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, in total, we have
pi×r²×h
r being the radius (half the diameter), h being the height.
therefore, the volume of the given cylinder is
pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³
Convert to vertex form
or easier
for y=ax²+bx+c
the x value of the vertex is

and the y value is found by subsituting the x value in for x
so
y=1x²+4x+11
a=1
b=4
the x value of the vertex is

the y value is found by subsituting -2 for x
y=(-2)²+4(-2)+11
y=4-8+11
y=7
the vertex is (-2,7)