Step-by-step explanation: Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.

We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.

Since each side of the six-sided base is (x - 6) units, so its perimeter will be

$6\times(x-6)~\textup{units}.$

According to the question, we have

$6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.$

Thus, the value of 'x' is 19 units.

6 0

3 years ago

Read 2 more answers

X ^ 2 + y ^ 2 + 6y - 67 = 2y - 6x; circumference

garri49 [273]

Answer:

(x+3)^2+(y+2)^2=80

Step-by-step explanation:

7 0

1 year ago

From the 12 players who will travel, the coach must select her starting line-up. She will select a player for each of the five p

gizmo_the_mogwai [7]

Answer:

990

Step-by-step explanation:

The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.

By the Fundamental Principle of Counting, there are

$3\displaystyle\binom{11}{4}=3*\displaystyle\frac{11!}{4!(11-4)!}=3*\displaystyle\frac{11!}{4!7!}=990$

ways for her to select the starting line-up.

7 0

2 years ago