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Gnesinka [82]
3 years ago
10

[4] what is the largest possible area for a right triangle whose hypotenuse is 5cm long, and what are its dimensions? 25

Mathematics
1 answer:
maria [59]3 years ago
4 0
Let the base and height of the right triangle be b and h respectively.

Then the area of the triangle (which is to be maximized) is

A = bh/2.  Draw the triangle with the right angle positioned at the origin, in the first quadrant.

We are told that the hypotenuse is 5 cm.  Then 

b^2 + h^2 = 25 cm^2 must be true.  Alternatively, b = sqrt(25-h^2).

We want to meximize the area of this triangle.  In other words, maximize

A = (b)(h)/2, or, equivalently, maximize A = [sqrt(25-h^2)](h)/2.

Maximize A by differentiating the above formula for A with respect to h and finding the critical value for h.  Once you have that h value, calculate the corresponding b value and find the max area via    A = bh/2.

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The temperature started at 82° and continued to rise at a rate of 0.6° each hour the temperature is now 85° determine the number
Gnesinka [82]

Answer:

5 hours

Step-by-step explanation:

Our goal here is 3 F because 82+3=85

Ok so you start at 82. For example, you can do 0.6×1=0.6 (no)

0.6×2=1.2 (no)

0.6×3=1.8 (no)

0.6×4=2.4 (no)

0.6×5=3 (yes)

82°+3°=85°

8 0
3 years ago
Solve <br> x-3/x+4 - 3x+2/2x+8
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\left[x _{2}\right] = \left[ 6+\sqrt{33}\right][x​2​​]=[6+√​33​​​]
8 0
3 years ago
The population of New York City is 23,945. Eastdale has a population of 12,774 What is the total population of the two communiti
serious [3.7K]
No.d
37,619

I hope that this helps you and please mark me as the brainliest.
3 0
2 years ago
I’ll give brainliest!! Help!!Jeremy deposits $24,000 into an account earning interest that is compounded monthly. The interest r
Schach [20]
The answer is $79,523.95

I just tooked the test.
4 0
3 years ago
Read 2 more answers
Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They s
Julli [10]

The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively

<h3>How to write and solve equation?</h3>

let

  • June = x
  • July = x - 100
  • August = 2x
  • Total customers = 400

Total = June + July + August

400 = x + (x- 100) + 2x

400 = x + x - 100 + 2x

400 = 4x - 100

400 + 100 = 4x

500 = 4x

x = 500/4

x = 125

So,

June = x

= 125 customers

July = x - 100

125 - 100

= 25 customers

August = 2x

= 2(125)

= 250 customers

Learn more about equation:

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
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