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Gnoma [55]
3 years ago
14

Among all pairs of numbers with a sum of 185, find the pair whose product is maximum. write your answers as fractions reduced to

lowest terms.
Mathematics
2 answers:
pochemuha3 years ago
7 0
The product of the two numbers that are each half of 185 will be the maximum
.. 185/2 and 185/2
Juliette [100K]3 years ago
3 0

Two numbers that we can chose here are half of 185 each.

As they will give us maximum product.

So the two numbers would be 185/2 and 185/2

Product = \frac{185}{2}  * \frac{185}{2}

On multiplying we will get,

34225/4

Answer : The two numbers are 185/2 and 185/2.

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I need help wit one & two please help
seropon [69]

23 is less than 25 which means it's closer to 20, so you would round it down to 20. 1.75 is over 0.50, 1/2, so you would round it up to 2. If you multiply 2 and 20 you would get 40.

Number two gets the same explanation just with different numbers.

3 0
3 years ago
A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r
svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, h^2 + b^2 = 16^2 = 256 \dotsc\;(1) because it is a right angle triangle.

It is given that \frac{db}{dt} = 1

Now differentiate (1) with respect to t (time) :

\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}

\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that 16 \sin{\theta} = b. When b = 8, then \theta = \arcsin{0.5} = \ang{30}.

Differentiate the above equation w.r.t t

\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}

c. The area of the triangle is given by A = 0.5\times h \times b. Differentiating w.r.t t,

\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}

Plugging in b = 8, h = 13.856, \frac{dh}{dt} = -0.588,

\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}

8 0
3 years ago
If K(3, -7) is rotated 270°, what will be the coordinates of its image?
Leya [2.2K]

Answer: <em>it will actually be -3, 7</em>

7 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through the points (3, 6) and (5, 3).
Temka [501]
(3,6)    (5,3)
(x1,y1)(x2,y2)

The slope equation is: y2-y1
                                 ---------
                                  x2-x1

Replace with numbers: 3-6/5-3

Minus 3 and 6 is equal to -3

Minus 5-3 is 2 

So the fraction is -3/2 (no need to divide because you can't simplify it)

So the slope is -3/2

For the equation you have to replace the letters by 0's 

3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides 
   0-2y=6
  -0      -0

-2y=6

Divide -2y from the 6

-2y=6
----  ---
  -2   -2

y=3 

The y intercept is 3 with the slope of -3/2
8 0
3 years ago
25 points!!<br> how are these shapes alike
Pie

Answer:

A. Each shape has 12 edges

Step-by-step explanation:

A is the only one that is true.

The shapes have 6 faces, not 7 or 8.

The edges are the places were two planes intersect, and there are 12, not 6.

7 0
3 years ago
Read 2 more answers
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