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tresset_1 [31]
3 years ago
14

The length of each side of an equilateral triangle is 74mm, correct to the nearest millimeter. Calculate the smallest possible p

erimeter of the triangle
Mathematics
1 answer:
Olin [163]3 years ago
8 0

Answer:

  221 mm

Step-by-step explanation:

The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...

  3 × 73.5 = 220.5 ≈ 221 . . . millimeters

_____

The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.

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A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalen
Brut [27]

Answer:

  • Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

<u>Given expressions</u>

  • 4x - x + 5 = 3x + 5
  • 8 - 3x - 3 = -3x + 5

Compared, we see the expressions are different as 3x and -3x have different coefficient

<u>Answer options</u>

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent

----------------------------------------

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

  • Incorrect. There are 2 values- variable and constant

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent.

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

  • Correct.  
3 0
3 years ago
(28 POINTS)
cestrela7 [59]

Answer:

(a) -\sqrt{10}y

(b) -\sqrt{3}y

Step-by-step explanation:

(a) \sqrt{10y^{2}} can also be written as \sqrt{10} x \sqrt{y^{2}}

the \sqrt{y^{2}} = ± y

Therefore :

\sqrt{10y^{2}} = ±\sqrt{10}y

since it was given that y < 0 , then the factor will be -\sqrt{10}y

(b) \sqrt{3y^{2}} can also be written as : \sqrt{3} x \sqrt{y^{2}}

Therefore , one of the factor is -\sqrt{3}y

3 0
3 years ago
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