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hammer [34]
3 years ago
13

The area of a square is equivalent to the area of a rectangle. If the side lengths of the rectangular three units and 12 units w

hat is the perimeter of the square?
Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

Step-by-step explanation:

If the side lengths of the rectangle are 3 and 12, then the area, length times width, is 36.

If the area of the square is equivalent to the area of the rectangle, then

36=s^2 which is the formula for the area of a square.  Take the square root of 36 to get that each side of the square is 6 inches long.  

Since a square has 4 sides, we get that the perimeter of that square is 4 * 6 which is 24 inches.

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How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break
zhenek [66]

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.

4 0
3 years ago
For the quadratic equation x2 + 2x + 8 = 0, find the value of the discriminant. Then, describe the number and type of roots for
stepladder [879]

ax^2 +bx+c=0
X^2 + 2x+8=0 so a=1, b=2, c=8

Discriminat= b^2 -4ac=2^2 -4•1•8=4-32=-28

So there are no real number solutions, yet there are complex numbers solutions.

Solutions=(-b+- sqrt (discriminant))/2•a
=(-2+-i sqrt ( 2•2•7))/2
Solutia 1= -1 + i sqrt7
Solutia 2= -1 - i sqrt 7
5 0
3 years ago
In Ethiopia there are 20 premier league soccer teams.
VMariaS [17]

Answer:

In A Premier League there are 20 soccer teams.

(a)In One Round How Many Games Are There?

20 choose 2 = 20C2 = 190

(b) If five of the teams represent one company, find the

number of ways pairs of teams representing different companies

can play the game.

So there are 4 companies, each having 5 teams.

4 companies choose 2 = 4C2 = 6 ways

Choose a team of the company that's, say, been in business the

longest.

5 teams choose 1 = 5C1 = 5 ways

Choose a team of the other company,

5 teams choose 1 = 5C1 = 5 ways

Answer 6*5*5 = 150 ways.

7 0
3 years ago
What is the vertex of y=(x-2)-7
Zina [86]

Answer:

The vertex of this equation is (2, -7)

Step-by-step explanation:

In order to find the vertex of this equation we start with the base form of the vertex form.

y = a(x - h) + k

With this equation (h, k) is the vertex. You can see that 2 lines up with h and -7 lines up with k. This shows that (2, -7) is the vertex.

7 0
3 years ago
Al’s pet store had 14 small lizards and some large lizards. After selling 2 lizards, there were 30 in the store. How many large
Vlad1618 [11]

Answer:

Total no of lizard=lizard sold+ lizard remaining

30 +2

Total -small

Large lizards =32-14

=18

Step-by-step explanation:

7 0
3 years ago
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