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2 years ago

14

Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the

square is 9 cm?

1 answer:

abruzzese [7]2 years ago

3 0

The area of the square is increasing at the rate of 36(3/2)^(1/2).btw,i forget to add ^2 to `cm`

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How do you this question? Please explain.

Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0

2 years ago

write a story problem that can be solved by finding the sum of 506,211 and 424,809. then solve the problem

Amiraneli [1.4K]

<u>Story Problem</u>

Mr. Bill Gates bought a house in Italy for $\$506,211$ and a house in Canada for $\$424,809$ . What is the total cost of the two houses?

we know that

The total cost is the sum of the cost each house

so

$\$506,211+\$424,809=\$931,020$

therefore

the answer is

The total cost is $\$931,020$

7 0

2 years ago

Read 2 more answers

Car travels and average speed of 48 miles per hour how long does it take to travel 180 miles?

Neporo4naja [7]

speed =48mph

distance = 180 miles

we know that

time = distance / speed

$time=\frac{180}{48} hours$

$time=3.75 hours$ ..........Answer

5 0

3 years ago

Read 2 more answers

The scores on a test are normally distributed. The mean of the test is 750 and the standard deviation is 70. By using the Empiri

melomori [17]

I think it will be B 610 and 820 but im not sure.
Hope This Helps!
~Cupcake

5 0

3 years ago

How do I write the sum of 6x and 2x is at least 39 ?

tatiyna

<h2>Put x = $\dfrac{39}{8}$ I write the sum of 6x and 2x is at least 39 .</h2>

Step-by-step explanation:

We have,,

6x and 2x

To find, the value of x = ?

According to question,

The sum of 6x and 2x is at least 39

∴ 6x + 2x = 39

⇒ 8x = 39

⇒ x = $\dfrac{39}{8}$

∴ The value of x = $\dfrac{39}{8}$

Thus, put x = $\dfrac{39}{8}$ I write the sum of 6x and 2x is at least 39 .

5 0

2 years ago