The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
<h3>
Volume of the orange pyramid</h3>
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
- A is the base area of the pyramid
- h is the height of the pyramid
V = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
<h3>
Volume of the green pyramid</h3>
Voume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
<h3>Height of the green pyramid</h3>
V = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
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First we need to find the area of the fence, since paint covers square feet and squared units refers to area. The area of the fence is 26 x 7, which is 182 sq ft. If one gallon of paint will cover 350 sq ft, your proportion will look like this, with gallons of paint on top and square feet on the bottom.

. Cross multiply to get 350x = 182 and x = .52, just a bit over a half of a gallon of paint.
He drove 56 miles because if you divide 168 and 3 it equals 56.
Answer:
The equation for rational function for given asymptotes is
f(x)=(-4x^2-6)/{(x-3)(x+3)}
Step-by-step explanation:
Given:
vertical Asymptotes at x=3 and x=-3 and a horizontal asymptote at
y=-4 i.e parallel to x axis.
To find:
equation of a rational function i.e function in form p/q
Solution;
the equation should be in form of p/q
Numerator :denominator.
Consider f(x)=g(x)/h(x)
as vertical asymptote are x=-3 and x=3
denominator becomes, (x-3) and (x+3)
for horizontal asymptote to exist there should have same degrees in numerator and denominator which of '2'
when g(x) will be degree '2' with -4 as coefficient and dont have any real.
zero.
By horizontal asymptote will be (-4x^2 -6)
The rational function is given by
f(x)=g(x)/h(x)
={(-4x^2-6)/(x-3)(x+3)}.
1. statement: angles 1 and 2 are supplementary, reason: adjacent angles on a straight line are supplementary
2. reason: Vertical angles are congruent
3. reason: Parallel lines for supplementary interior angles on the same side as the transverse
4. statement:angles 1 and 5 are equal reason:If two angles are supplementary to the same angle, they are congruent