John used a scale factor of 1 inch : 15 feet, to design a sit plan. The actual car park has been designed to be 12ft long, determine the length of the car park as depicted in the blueprint (scale drawing)
Answers
To determine the length of the car park as depicted in the blueprint (scale drawing), we first need to find the scale factor used by John. Since he used a scale factor of 1 inch : 15 feet, we can multiply the actual length of the car park by this ratio to get the length of the car park on the blueprint.
So, if the actual car park is 12 ft long, the length of the car park on the blueprint would be:
12 ft * 1/15 ft/inch = 8 inches
Therefore, the length of the car park as depicted in the blueprint is 8 inches.
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Answers
A cube has all equal sides and therefore the formula of:
-Volume of Cube=side³
=3³=27 cm³
-Volume of Cuboid=Area of base×Height of prism
1st prism =4×3×1=12 cm³
2nd prism =7×4×9=252 cm³
3rd prism =3.5×5×6=105 cm³
Second part:
Volumes are given with one side missing
V=Area of base×Height of Prism
1st prism
360=6×12×x
360=72x
5 cm=x
Check: V=6×12×5=360 cm³
2nd question:
break it into 2 parts:
1st: find the volume of the first cuboid:
V=3×3×4=36 cm³
So now we know the volume of the second cuboid since both of them have the same volume.
2nd: 36=6×4×x
36=24x
1.5 cm=x
Check: 1.5×6×4=36 cm³
16y2 – x2
8x2 – 40x + 25
64x2 – 48x + 9
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factoring the second choice results to (4y-x)(4y+x) which results to the difference between 4y and x.
the first choice also shows a difference in the square however sqrt10 is not a perfect radical.
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8.6x10¹⁴ is the value of (4.3x10⁸)x(2.0x10⁶) in scientific notation.
What is Number system?
A number system is defined as a system of writing to express numbers.
The given expression is (4.3x10⁸)x(2.0x10⁶)
We need to express it in scientific notation
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Firstly let us multiply four point three with two point zero
4.3×2
Which given 8.6
Now 8.6x10⁸x10⁶
When the bases are same then the powers will be added
8.6x10¹⁴
Hence, 8.6x10¹⁴ is the value of (4.3x10⁸)x(2.0x10⁶) in scientific notation.
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Answers
The product of the fraction is 8/25. Option C is correct
Multiplication of fraction
To multiply these fractions, you can follow these steps:
Multiply the numerators (top numbers) together.
Multiply the denominators (bottom numbers) together.
Here's how it's done:
(4/9) x (1 & 4/5) x (2/5)
Step 1: Multiply the numerators:
(4/9) x (9/5) x (2/5)
Step 2: Multiply the denominators:
(4/9) x (9/5) x (2/5) = (4 x 9 x 2)/(9 x 5 x 5)
Now, calculate the result:
(4 x 9 x 2)/(9 x 5 x 5) = 72/225
To simplify the fraction, find the greatest common divisor (GCD) of 72 and 225, which is 9:
(72 ÷ 9)/(225 ÷ 9) = 8/25
Hence the product of the fraction is 8/25
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Answers
Answer:
Firstly, when the manager lowered the $60 boot by 10%, the boot then became $54. Then, when the manager raised the boot again by 6%, we can find the new price by doing $54 multiplied by 0.06. This gave us $3.24. We then add this amount to our $54 total to get $57.24. Therefore, the new price is $57.24.
Step-by-step explanation:
Answers
Answer:
$554.40
Step-by-step explanation:
Answer:
$110
Step-by-step explanation:
1/6 x 660