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Gennadij [26K]
3 years ago
6

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Whic

h equation can be used to find V , the volume of the cylinder in cubic feet?
Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

v=π×(12÷2)^2×h=36πh ft^3

Step-by-step explanation:

v=π(d÷2)^2×h(formula)

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An angle cannot be the complement of one angle and the supplement of another angle at the same time. is this true or false?
soldi70 [24.7K]

An angle cannot be the complement of one angle and the supplement of another angle at the same time. Then the given statement is false.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

An angle cannot be the complement of one angle and the supplement of another angle at the same time.

Then the given statement is false.

More about the angled link is given below.

brainly.com/question/15767203

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Aiden lives 3/4 mile from school. Kaitlyn lives 4/5 as far as Aiden does How far does Kaitlyn live from school? *
Vladimir79 [104]

Answer:

31/20 miles

Step-by-step explanation:

Given data

Aiden lives 3/4 mile from school

Kaitlyn lives 4/5 as far as Aiden does

Hence Kaitlyn lives

=4/5+3/4

=16+15/20

=31/20 miles

Therefore Kaitlyn lives 31/20 miles from school

5 0
3 years ago
Find an equation of a quartic function whose graph passes through the points (0, -2) and is tangent to the x-axis at (-1, 0) and
KengaRu [80]

The equation of the quartic function is y = -\frac{1}{2}\cdot x^{4}+x^{3} +\frac{3}{2}\cdot x^{2} -2\cdot x - 2, whose factored form is y = (x-2)^{2}\cdot (x+1)^{2}.

A <em>quartic</em> function is a <em>fourth order</em> polynomial, whose form is presented below:

y = a\cdot x^{4}+b\cdot x^{3} + c\cdot x^{2}+d\cdot x + e, a, b, c, d, e\in \mathbb{R}  (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.

Given that such polynomial must be tangent to the x-axis in two place, slope must be zero and by differential calculus we have the following expression for the slope of the tangent line:

4\cdot a \cdot x^{3} + 3\cdot b\cdot x^{2} + 2\cdot c \cdot x + d = 0 (2)

Then, we can construct the following system of linear equations:

e = -2 (3)

a -b +c -d = -e (4)

-4\cdot a +3\cdot b -2\cdot c + d = 0 (5)

16\cdot a + 8\cdot b + 4\cdot c + 2\cdot d = -e (6)

32\cdot a + 12\cdot b + 4\cdot c + d = 0 (7)

The solution of the system is: a = -\frac{1}{2} , b = 1, c = \frac{3}{2}, d = -2.

The equation of the quartic function is y = -\frac{1}{2}\cdot x^{4}+x^{3} +\frac{3}{2}\cdot x^{2} -2\cdot x - 2, whose factored form is y = (x-2)^{2}\cdot (x+1)^{2}.

8 0
3 years ago
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