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givi [52]
3 years ago
6

Each side of a square is increasing at a rate of 5 cm/s. at what rate is the area of the square increasing when the area of the

square is 49 cm2? 70 cm2/s
Mathematics
1 answer:
topjm [15]3 years ago
3 0
<span>This problem is solved using the chain rule. the area of the square is f(t) and the length of the side is g(t) f(t)=g(t)^2 g'(t)=5 Using the chain rule f'(t)=2*g(t)*g'(t) The value of g(t) is sqrt(49) which is 7. g'(t) is given as 5 cm/s f'(t)=2*7*5=14*5=70cm^2/s</span>
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Questions<br> E<br> Given EA = 8 and AT = 10<br> Find ET
xxTIMURxx [149]

Answer:

ET = 80/A^2

Step-by-step explanation:

First, isolate the variables that you need, which is E and T, using the two equations you were given.

EA = 8

E = 8/A (divide A on both sides to isolate E)

AT = 10

T = 10/A (divide A on both sides to isolate T)

Now, substitute.

ET --> (8/A) x (10/A) = 80/A^2

4 0
3 years ago
HELP 30 POINTS!!!!!
Tamiku [17]

by pythagorean formula, the last side is √(61)

by cos rule

cos A

=  \frac{ {6}^{2}  + 61 -  {5}^{2} }{2 \times 6 \times  \sqrt{61} }  \\  =  \frac{72}{12 \sqrt{61} }   \\  =  \frac{6}{ \sqrt{61} }

A = 39.81

5 0
3 years ago
Using the image above, if the density of the LEGO piece is 0.85 g/cm^3, what COULD be a possible measurement for the density of
grin007 [14]

The Lego is submerged under the oil and therefore, is more dense than the oil

The possible density of the oil is the option;

<u>0.79 g/cm³</u>

Reason:

Given:

The density of Lego = 0.85 g/cm³

Density of oil = Required

Solution:

The density of an object is the mass per unit volume it occupies

  • Density = \dfrac{Mass}{Volume}

Increase in density increases the mass a unit volume occupies, therefore, a

more dense object is heavier than a less dense object such that the less

dense object will float on a dense object

The oil is floating on the Lego, therefore, the Lego is more dense than the

oil, and we have;

  • Density of Lego > Density of oil

The density of Lego = 0.85 g/cm³

Therefore;

0.85 g/cm³ > Density of oil

From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³

Therefore, the possible density of the oil is <u>0.79 g/cm³</u>

<u />

Learn more here:

brainly.com/question/12864420

6 0
2 years ago
How would you simplify 5-6w-4+7w?
Natasha2012 [34]
You add the like terms. In this case, the like terms are -6w,+7w & 5,-4.
-6w + 7w = 1w.
5 - 4 = -1.
The coefficients (terms with variables - letters) comes firm, then the terms (numbers) 
.
so the final answer is: 1w -1   :)
6 0
3 years ago
What is the percentage 23 over 50
fredd [130]
23/50 is 0.46 so the percentage would be 46%
7 0
3 years ago
Read 2 more answers
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