A circular patio has a radius of 18 feet.What is the longest distance across the patio?

A.
9 ft

B.
18 ft

C.
36 ft

D.
54 ft

Answers

Answer 1

Answer: Since the patio is circular, the longest distance across a circle is the diameter = 2 * radius = 2 * 18 = 36ft

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4 ^sqrt 400/ 4^ sqrt 5

If f(x) is a polynomial with real coefficients and zeros of 4(multiplicity 2 ), -1(multiplicity2 ),-1+8i , and 2-2i, what is the minimum degree of f(x) ?

Answers

Answer:

The minimum degree of polynomial f(x) = 6

Step-by-step explanation:

Multiplicity for a polynomial equation is the number of times the polynomial has that particular root.

The roots of this polynomial is given as

4(multiplicity 2 ), -1(multiplicity2 ), (-1+8i), and (2-2i)

Hence, the true roots of this particular polynomial are 4, 4, -1, -1, (-1+8i), and (2-2i)

Making a total of 6 roots.

The number of roots of a polynomial is the minimum degree of such a polynomial.

Hence, the minimum degree of this polynomial is 6.

Hope this Helps!!!

Solve this inequality: 8z + 3 – 2z < 51 A. z < 9 B. z < 14 C. z < 8 D. z < 5.4

Answers

c. z<8
8z+3-2z<51
6z+3<51
6z<48
z<8

8z + 3 - 2z < 51
6z + 3 < 51
6z < 51 - 3
6z < 48
z < 48/6
z = 8

Marie has a small copy of rene magritte's famous painting, the schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The scale of the copy is 1 in :40 cm. Find the dimensions of the original painting

Answers

We just multiply the scale to the dimensions
2 in to original is: 2×40= 80 cm
or do proportions:
$(2)/(x)$ = $(1)/(40)$
= $(2*40)/(1)$ =x
=80 cm=x the original dimension.
Same thing to the other side.
1.5×40=60 cm
or proportions again:
$(1.5)/(y)$ = $(1)/(40)$
$(1.5*40)/(1)$ =y
60 cm=y
60 cm is the original dimension
80 cm times 60 cm ORIGINAL DIMENSION

which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6,

Answers

Any multiple of 12h^3.

Remember that the greatest common factor is the common terms raised to the lowest power. Then you can include any terms that includes 12h^3

For example, 12h^3, or 24h^12, 60h^9, etc.

Hope This Helps!

Look at the following picture. What would be the resultant vector of A+B? vector b is 4.78m 67 degress vector a 21 degrees 11.3mthe picture wont upload