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xeze [42]
2 years ago
12

State if the triangle is each pair are similar

Mathematics
1 answer:
dolphi86 [110]2 years ago
6 0
<span>http://www.dictionary.com/browse/similar

This should help</span>
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The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug
ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0
3 years ago
2. What is the slope in this equation? y =2x +1<br> y<br> 2<br> х<br> 1
Neporo4naja [7]

Answer:

the slope equals 2. otherwise known as the coefficient of x.

5 0
3 years ago
A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee
Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (A), measured in square feet, is determined by the following equations:

A = w\cdot l (1)

Where:

w - Width, measured in feet.

l - Length, measured in feet.

If we know that w = x, l = 2\cdot x and A = 160\,ft^{2}, then we get the following second order polynomial:

2\cdot x^{2}-160 = 0 (1)

And we solve the expression for x:

2\cdot x^{2} = 160

x^{2} = 80

x = \sqrt{80}\,ft

x \approx 8.944\,ft

Then, the dimensions of the pool are, respectively:

w \approx 8.944\,ft and l \approx 17.888\,ft

5 0
2 years ago
Find the value of x in the diagram below
Marysya12 [62]

Answer:

120 degrees

Step-by-step explanation:

6 0
3 years ago
The reading speed of second grade students in a large city is approximately normal, with a mean of 89 words per minute
laila [671]
Try using
Wolframalpha.com
It can solve any mathematical problem
4 0
3 years ago
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