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mrs_skeptik [129]
3 years ago
12

The perimeter of an equilateral triangle is 27 centimeters. Find the altitude of the triangle

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0
9^2 = 4.5^2+b^2
81=20.25+b^2
60.75=b^2
b (altitude) = approx. 7.8
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-6x + 5y = 1<br> 6x + 4y = –10
Firlakuza [10]

Answer:

x=-1

y=-1

Step-by-step explanation:

-6x + 5y =1 ......equation (1)

6x + 4y = –10 ......equation (2)

adding equation (1) to equation (2)

9y=-9

9y/9 =-9/9 (dividing both side by the coefficient of y)

y=-1

subtituting the value of y =-1 into equation (2)

6x+4(-1)=-10

6x+(-4)=-10

6x-4=-10

6x=-10+4(making constant to be at one side and the variable at the other side)

6x=-6

x=-6/6

x=-1

8 0
3 years ago
The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol
Licemer1 [7]

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0
2 years ago
3x+3 gbggggggggggggggggggggg
ella [17]

Answer:

I think it is 3(x+1) not sure but try it(it is a graph answer)

7 0
3 years ago
For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
3 years ago
Read 2 more answers
The grades for the latest statistics exam are normally distributed. The mean was 93 with a standard deviation of 4. What is the
olga_2 [115]

Answer:68.27%

Step-by-step explanation:

TI84

2nd distr

normalcdf(89,97,93,4)

3 0
3 years ago
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