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3 years ago

6.

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

$26.60 would be you’re answer i believe

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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

The graph of y = sine (x minus StartFraction 3 pi Over 2 EndFraction) is the graph of the y = sin(x) shifted in which direction?

sukhopar [10]

Answer: shifted by 3*pi/2 units to the right.

Step-by-step explanation:

Here we have:

y = sin(x - 3*pi/2)

now, you need to remember this:

if we have y = f(x)

then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).

If A is negative, the shift is to the left.

Then in this case, we have:

sin(x) -----> sin( x - 3*pi/2)

A = 3*pi/2

Then we have the graph shifted by 3*pi/2 units to the right.

7 0

3 years ago

Read 2 more answers

If all of the pieces of candy were lined up end to end, what would be the total length of candies? 1/8in, 2/8in, 3/8in, 4/8in ,

VashaNatasha [74]

Answer:

4 1/2 inches

Step-by-step explanation:

8 0

3 years ago

Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car c

Doss [256]

Solution:

The first car can travel 75 miles on 5 gallons of gas.

So per mile gas consumed by car $=\frac{5}{75}=\frac{1}{15}$ gallon

The second car can travel 240 miles on 20 gallons of gas.

So per mile gas consumed by car $=\frac{20}{240}=\frac{1}{12}$ gallon

It mean Sam should rent the First car.

Sam is renting one of two cars to go on a 300-mile trip.

So total number of gallons of gas required $=\frac{1}{15}*300=20$

Total cost of 20 gallons of gas $=\frac{49.42}{14}*20= 70.6$ dollar

3 0

3 years ago

100p for an answer

dlinn [17]

The answer is B.
Hope it helps.

8 0

3 years ago

Read 2 more answers