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Murljashka [212]
3 years ago
5

When the scientist put in 50 ml of solution, the cell count was 205. When 40 ml of solution was used, the cell count was 200. Wh

ich equation models this data
Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

every 10 mL of solution equals 5 cells

Step-by-step explanation:

I'm not sure if this equation is right but I think it's either 200÷40, 205÷50, or 205÷40 I hope this is kinda helpful.

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Find the measure of angle X in the triangle below.
Elan Coil [88]

Answer:

  X = 89.92° or 90.08°

Step-by-step explanation:

The law of sines can be used to find the value of angle X:

  sin(X)/26 = sin(67.38°)/24

  sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787

There are two values of X that have this sine:

  X = arcsin(0.99999901787) ≈ 89.92°

  X = 180° -arcsin(0.99999901787) ≈ 90.08°

There are two solutions: X = 89.92° or 90.08°.

_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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Step-by-step explanation:

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The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.
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Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

or,\frac{30 {xy + 20xy}^{2} }{10xy}  = l \\

or, \: l = 3 {x}^{2 - 1}  + 2cm

\boxed{\sf{l = (3x+2)cm}}

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

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The product of 3x and 4y = 6xy

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= \boxed{\sf {2xy}}

hope it helped !!!!

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