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melisa1 [442]
3 years ago
8

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14,

and round your answer to the nearest hundredth
Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

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The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers
Andrews [41]

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

B=5+A

Their sum is 59. So:

A+B=59

This is a system of equations. Solve by substituting the first equation into the second. Thus:

A+(5+A)=59

Combine like terms:

2A+5=59

Subtract 5 from both sides:

2A=54

Divide both sides by 2:

A=27

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!

4 0
3 years ago
Please help me ASAP
Salsk061 [2.6K]

Answer:

Two.

Step-by-step explanation:

Simultaneous equation is a Finite sets of equations whose common solutions are sought.

Two solutions in the equation above is sought.

5 0
3 years ago
Which of the following are Binomials
Lyrx [107]

Answer:

C and E

Step-by-step explanation:

Examples of binomials (two terms) :

9a - 5

3x + 6y

-4t + 2

Examples of monomials (one term) :

6x

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(There can also be exponents and fractions in any kind: binomial, monomial, or trinomial.)



7 0
3 years ago
The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers
scoray [572]

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

  • x = 3y +15
  • y = y

New equation is:

  • 3y + 15 + y = 63

Combine like variables:

  • 4y + 15 = 63

Solve:

  • 4y + 15 - 15 = 63 - 15
  • 4y = 48

Divide 4 from each side:

  • <em><u>y = 12</u></em>

To find x fill in the variables from the 'x =' equation:

  • x = 3y + 15
  • x = 3( 12) + 15
  • <em><u>x = 51</u></em>
3 0
3 years ago
Marvin rides his bike at an average speed of 13 miles per hour how far can he bike in 8 hours?
Radda [10]

13 x 8 = 104

104 miles

3 0
3 years ago
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