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rodikova [14]
3 years ago
10

You are given a piece of cardboard and asked to cut out a square of area (169y2 + 260y + 100) cm2. The side length of the square

is ax + b cm, where a and b are whole numbers. Find an expression for the perimeter of the square. Find the perimeter when y = 10 cm.
A.p = 17y + 10; 180 cm
B.p = 68y + 40; 720 cm
C.p = 52y + 40; 560 cm
D.p = 13y + 10; 140 cm
Mathematics
1 answer:
enot [183]3 years ago
5 0
Square root of area  = (13y + 10)  cm = length of each side of the square piece.

perimeter is
p = 4(13y + 10)

 =  52y + 40 Answer

when y= 10 p =  560 answer

Option C is the correct one.
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PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

<em />

<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

<em />

<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

<u><em></em></u>

<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0
3 years ago
A rectangular flower garden has an area of 75 square feet. It is 15 feet long. How wide is the garden? *
nlexa [21]
A. 5 feet

To find the area of a rectangle, multiply length by width. Since the length is 15, you divide 75 by 15, so the width would be 5 feet.
3 0
4 years ago
Alec is trying to find the surface area of a shoe box. What unit will he use? A) cubic feet B) square feet C) cubic inches D) sq
zysi [14]
The answer to this question would be: <span>D) square inches</span>

In this question, Alex needs to find the surface area of a shoe box. Surface area unit would be represented by "square" because it is 2 dimension. The unit "cubic" is used for volume which was 3 dimension. From here, the option A and C is out because it uses cubic.
The inch unit is better since it was smaller than feet. If you using feet square, the area of the shoe box will be small and it might be less accurate than using inch.
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Answer:

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The first second and third
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