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irga5000 [103]
2 years ago
12

Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x

increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
Mathematics
1 answer:
meriva2 years ago
4 0

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

  • l² = x² + y².

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

  • (dx/dt) = 19 ft/s
  • (dy/dt) = -15 ft/s

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

brainly.com/question/12559989

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Help plz can’t figure this out
xxMikexx [17]

Answer:

The publisher must sell 4,632 books in order to break even(total sold equals production costs).

Step-by-step explanation:

So the bookstores are really making $24-10.25 in profit off of each book. This equals $13.75 profit for every book sold.

So you set up an equation:

13.75x=$63,690

x=63690/13.75

x=4632


5 0
3 years ago
Read 2 more answers
Victoria correctly determined the area of this parallelogram by adding the areas of the rectangle and triangles.
adoni [48]

Answer:

56 m²

16 m²

88 m²

Step-by-step explanation:

The formula for the area of a rectangle is:

A=L×W (area=length × width)

A=7×8

A=56m²

The formula for the area of triangle is:

1/2×b×h (1/2 × base × height)

A=1/2×4×8

A=2×8

A=16m²

For the total area you will now add the area of each shape. We will multiply triangle area by 2 because there is 2 triangles.

A=56+2(16)

A=56+32

A=88m²

6 0
3 years ago
TRUE OF FALSE
Keith_Richards [23]

Answer:

false it does not change the shape but it does change the size

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
1. Choose the description that matches the inequality. x < 1
marusya05 [52]

Answer:

A line traveling to the left with an open dot on x=1.

Explanation:

The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.

3 0
2 years ago
A small company 's net income for the first 6 months of the year was 76.500 and for the last six months it was 100,000 . What is
inna [77]

Answer:The ratio of net income in the first 6 months, to the last six months is $76,500 / $100,000. This simplifies intuitively as follows:

76500/100000

Dividing by 100: 765/1000

Dividing by 5: 153/200

The denominator 200 is only divisible by the prime numbers 2 and 5, and since the numerator 153 is not divisible by either 2 or 5, this means that this is in simplest form, and the final answer is 153/200.

Step-by-step explanation:i did the research for you this isnt my own answer therefore don't give me the credit. but hope this helped you tho :D

5 0
3 years ago
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