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alex41 [277]
3 years ago
7

3. Write a similarity statement and state the scale factor for the triangles.

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

AA SIMILARITY statement

SSS similarity statement is also possible.

Step-by-step explanation:

In \:  \triangle CBA  \: and \:  \triangle TVU \\  \angle B \cong \angle V... (given) \\\angle A \cong \angle U... (given) \\\therefore \triangle CBA \sim \triangle TVU... (By AA\: Postulate)  \\

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Find the absolute maximum and minimum values of the following functions on the given curves functions:
bagirrra123 [75]

Answer:

Solution has explained below:

Step-by-step explanation:

(a) f(x,y) = x+y

To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx= 1, fx₁=0 and

fy= 1 and fyy=0

For stationary points fx=fy=0, which gives,

1=1=0, so that there is just one stationary point, (x,y)=(0,0)

If  fx₁  < 0 and fyy < 0, function is maximum

If  fx₁ > 0 and fyy > 0, function is minimum.

(b) g(x,y) = xy

Sol: To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx= 1 and fy  = 1

fx₁ = 0 and fyy =0

for stationary points fx = fy =0, which gives 1=1=0, so that there is just one stationary points, (x,y) =(0,0)

If fx₁ < 0 and fyy < 0, function is maximum.

If  fx₁  > 0 and fyy> 0, function is minimum.

c) h(x,y) = 2x2 + y2

sol: To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx = 4x  and fy = 2y

fx₁= 4  and fyy = 2

Now, taking fx = 0 and fy = 0

Gives x=0 and y=0,

Stationary points are (x,y) = (0,0)

If fx₁ < 0 and fyy < 0, solution is maximum,

If fx₁ > 0 and fyy > 0, solution is minimum,

Here, fx₁ = 4 > 0 and fyy = 2 > 0.

6 0
3 years ago
A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O
Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0
3 years ago
Roberto and Maria Santanos spend approximately $11.50 per week to wash and dry their family's clothes at a local coin laundry. A
Elena L [17]

Answer:

68 weeks

Step-by-step explanation:

1 week costs $11.50.

so, how many such weekly each cycles fit into the price of new machines ?

if they wait to long (to many weeks) they spend in total more money than buying a new machine.

but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).

so the break even point is simply

782 / 11.5 = 68 weeks.

after 68 weeks it has cost them exactly the same amount of money, as if they had bought new machines right away at the beginning.

3 0
3 years ago
Please help I need an answer fast
sp2606 [1]
All you need to do is use the formula to solve. What I do is I plug in the information that I know, and then I just solve. In this case it would be: 

V= (4)
       -    pie(3.14)*4.8(cubed) 
       3 

I hope I was a good help, and if you still need help, come to my page and ask the question on specifically what you need help with. :D
5 0
3 years ago
In a toy​ store, the ratio of the number of dolls to the number of teddy bears is . If the store has 240​ dolls, how many teddy
forsale [732]

Answer:

<u>So, the way a ratio works is </u><u>"for every 1 of this, we have 4 of this"</u><u> for example. (the ratio I just described would be 1:4.) </u>

<u />

I believe I've seen this question before. If the ratio of dolls to teddy bears is 9:3 then for every 9 dolls you have 3 teddy bears.

So, since we have 240 dolls and a 9:3 ratio to teddy bears, all we have to do is take how many dolls we have (240) and divide it by 3 to see how many teddy bears we have.

So:

240 ÷ 3  = 80

If your ratio is 9:3, then 80 is your answer.

<u>Hope this helps and have a nice day!</u>

<u></u>

7 0
3 years ago
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