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3 years ago

PLEASEEEEE HELPPPP ASPPPPPPP

Mathematics

1 answer:

nirvana33 [79]3 years ago

3 0

Answer:

The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)

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What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.

sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

$Area=length\times width$

$Area=78\times 36$

$Area=2808\text{ ft}^2$

The area of drawing is

$Area=15.6\times 7.2$

$Area=112.32\text{ in.}^2$

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

$\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1$

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

7 0

3 years ago

Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be

MrRa [10]

Answer:

ength (l) : (10-2*5/3) = 20/3
width(w): (10 - 2*5/3) = 20/3
height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

length (l) : (10-2x)
width(w): (10-2x)
height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2 $x^{2}$ ) (10-2x)

<=> V = 100x -20 $x^{2}$ - 20 $x^{2}$ + 4 $x^{3}$

<=> V = 4 $x^{3}$ - 40 $x^{2}$ + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12 $x^{2}$ -80x + 100

<=> 12 $x^{2}$ -80x + 100 =0

<=> x = 5 or x= 5/3

You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

length (l) : (10-2*5/3) = 20/3
width(w): (10 - 2*5/3) = 20/3
height(h): 5/3

6 0

3 years ago

Assuming that the amount of water leaking from the faucet every hour increases uniformly by 1/12 of the amount that leaked in th

Artemon [7]

Answer:

I'm going to assume that this means that the volume doubled. If so, then it would become 2*76 = 152 mL

Step-by-step explanation:

7 0

3 years ago

Try to fill in the missing numbers

GrogVix [38]

9514 1404 393

Answer:

[[274][895][136]]

Step-by-step explanation:

Starting with the middle row, we need a product of two single-digit numbers that is between 53-1 = 52 and 53-9 = 44. Possible products are 5×9=45 and 6×8=48. This means the number in the middle position in the left column must be 8 or 5.

The middle number in the left column cannot be 5, because we must be able to get -5 by subtracting that number from a sum that is at least 3 = 1+2. So, the middle number in the left column is 8, the other two numbers in that column are 1 and 2, and the other two numbers in the middle row are 5 and 9.

There is no product of single-digit numbers that is 30-1 = 29, so the upper left number must be 2, and the bottom left number must be 1. The other two numbers on the top row must be 4 and 7, so that row's equation is 2+4×7=30.

The only remaining digits are 3 and 6. In order to have -3 on the bottom row, the equation there must be 1×3-6 = -3. Then the middle digit must be divisible by 3, so must be 9.

Our solution is ...

row 1: 2 + 7 × 4 = 30

row 2: 8 + 9 × 5 = 53

row 3: 1 × 3 - 6 = -3

And that makes the column equations be ...

col 1: 2 - 8 + 1 = -5

col 2: 7 + 9 / 3 = 10

col 3: 4 × 5 - 6 = 14

6 0

3 years ago

Please help for eleven points

Arlecino [84]

C: B:

3 0

6 9

9 18

12 27

All you had to do was plug in the value for c or b and solve. You can tell this is most likely correct because you see patterns for both variables. C is going up by threes, while b is going up by nines.

3 0

3 years ago