Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet
2. 3ft 8in = 3 8/12 or reduced to 3 2/3 12ft 3in = 12 3/12 or reduced to 12 1/4 The fractional part is referring to a fraction of a foot.
3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3 P= 31 5/6 feet
4. The estimate and the actual are very close. They are 1/6 of a foot apart.
5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.
5b. Take the total and divide it by 8ft = 29 7/12 divided by 8= 3.7 You are not buying a fraction of a board so you would need 4 boards.
Circumference: 2πr C=18 so r= 18/2π= 9π
Arc length = rθ 6=(9π)θ θ=6/9π
Convert to degrees by multiplying by 180/π
6/9π x 180/π = 120 degrees
The difference between Pre-Image and Image is given as follows:
- Image is the shape AFTER a transformation is the picture of the transformation.
- A transformation's preimage is the shape BEFORE the change.
<h3>How do you define relationships between Image and Preimage?</h3>
Usually, the difference between image and pre-image is the way or method of transformation.
<h3>What is transformation in math?</h3>
A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure.
The Pre-Image is the original shape of the item, and the Image during the transformation is the final shape and location of the object.
The types of transformation in math are;
- translation
- rotation
- reflection, and
- dilation.
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Answer:
37.5
Step-by-step explanation:
so x% of 40 is 15
the equation for that is
x/100 * 40 = 15
40x/100 = 15
multiply 100 on both sides
40x = 1500
divide 40 on both sides
37.5
37.5% of 40 is 15
The sum of the given series can be found by simplification of the number
of terms in the series.
- A is approximately <u>2020.022</u>
Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
Therefore, for the last term we have;
2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020


Which gives;


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