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jeyben [28]
2 years ago
15

Need help!!!!!!! Please help me out

Mathematics
1 answer:
kari74 [83]2 years ago
5 0

Answer:

x = 10°

Step-by-step explanation:

If the two lines are parallel then the two marked angles will be equal.

8x = 2x + 60

Subtract 2x to combine like terms.

6x = 60

Divide by 6.

x = 10

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Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated
dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

                     P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A

Where,

             W: percentage of wetland

             R: percentage of residential area

             A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

                     P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

                   P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

                   

6 0
3 years ago
92+ 56/14−x =100. <br> Plz answer fast
Vladimir79 [104]

Step-by-step explanation:

don't forget about PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

first you're going to want to do 56 / 14.

4 0
4 years ago
Is 64 cubes a rational number
VLD [36.1K]

Answer:

is 64 cubes a rational number

The answer is yes for this question

Step-by-step explanation:

Hope this helps

4 0
3 years ago
0.25
svp [43]

Answer:

o.25 and .8

Step-by-step explanation:

it makes 0.2 so iys smaller than the rest

3 0
3 years ago
Read 2 more answers
The area of cross section of the large piston in a hydraulic machine is 1m² and that of small piston is 0.5m².calculate the forc
Dvinal [7]

Answer:

The force that must be applied on the small piston has a magnitude of 500 newtons.

Step-by-step explanation:

By Pascal's Principle, we know that pressure within any point of a closed hydraulic system is the same. Hence, the hydraulic machine can be described by the following model:

\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}} (1)

Where:

F_{1}, F_{2} - Forces applied on the small and large pistons, in newtons.

A_{1}, A_{2} - Areas of the small and large pistons, in square meters.

If we know that A_{1} = 0.5\,m^{2}, A_{2} = 1\,m^{2} and F_{2} = 1000\,N, then the force to be applied on the small piston is:

F_{1} = \left(\frac{A_{1}}{A_{2}} \right)\cdot F_{2}

F_{1} = \left(\frac{0.5\,m^{2}}{1\,m^{2}} \right)\cdot (1000\,N)

F_{1} = 500\,N

The force that must be applied on the small piston has a magnitude of 500 newtons.

4 0
3 years ago
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