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Blizzard [7]
3 years ago
15

Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq

in how many pieces of wood should he put along each side
Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

8 pieces of wood should be put along each side of the chessboard

Step-by-step explanation:

Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.

Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood

Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood

64 pieces of wood would be needed to complete the cheeseboard.

The number of pieces to put along each side of the cheese board will be √64.

This is because the shape of a chessboard is square.

Thus the number of pieces to put on each side will be √64 = 8

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Find the exponential function that satisfies the given conditions: Initial value = 31, increasing at a rate of 10% per year
marishachu [46]

Option 2: f(t) = 31.(1.1)^t is the correct answer.

Step-by-step explanation:

Let t be the independent variable time and f(t) be the function that will be used to represent the exponential growth

The general form of an exponential function is given by:

y = a(1+r)^t

Here

a is the initial value of the function while r is the growth rate

and t is the number of years

Given

Initial value = 31

Growth rate = 10% per year

We have to convert the growth rate in decimal

So,

r = \frac{10}{100} = 0.1

Putting the values in the general form

f(t) = 31 . (1+0.1)^t\\f(t) = 31 . (1.1)^t

Hence,

Option 2: f(t) = 31.(1.1)^t is the correct answer.

Keywords: Functions, exponential functions

Learn more about functions at:

  • brainly.com/question/9381523
  • brainly.com/question/9231234

#LearnwithBrainly

6 0
3 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 5\text{ in}5 in and the height of the pyrami
Nana76 [90]

Answer:

Volume = 1.9 in3

Step-by-step explanation:

If the perimeter of the square base is 5 inches, we have that:

Perimeter = 4 * side

5 = 4 * side

side = 1.25 in

Then, to find the volume of the pyramid, we can use the formula:

Volume = (1/3) * side^2 * height

So we have that:

Volume = (1/3) * 1.25^2 * 3.6

Volume = 1.875 in3

Rounding to nearest tenth, we have Volume = 1.9 in3

4 0
3 years ago
Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20)
Bogdan [553]

Answer:

y - 20 = (-1/5)(x - 5)

Step-by-step explanation:

The slope of the given line is 5.  The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:  

Slope of perpendicular line here is -1/5.

We use the point-slope formula as a framework here:

y - 20 = (-1/5)(x - 5)

3 0
3 years ago
What is $5.36 for 20 oz
Korvikt [17]

Answer:

Unit rate is 3.7 if that’s what you are asking for, you were not very specific.

Step-by-step explanation:

6 0
3 years ago
How do i do this<br> 5e+4&lt;3e-6
Nonamiya [84]

Answer:

e < -5

Step-by-step explanation:

5e + 4 < 3e - 6

Subtract 3e from the right side

2e + 4 < -6

Subtract 4 from the left side

2e < -10

Divide both sides by 2

e < -5

6 0
2 years ago
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