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xz_007 [3.2K]
3 years ago
14

A worker is cutting a square from a piece of sheet metal. The specifications call for an area that is 16 cm squared with an erro

r of no more than 0.03 cm squared. How much error could be tolerated in the length of each side to ensure that the area is within the​ tolerance?
Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Given:

area of square, A = 16 cm^{2}

error in area, dA = 0.03 cm^{2}

Step-by-Step Explanation:

Let 'a' be the side of the square

area of square, A = a^{2}                 (1)

A = 16 =  a^{2}

Therefore, a = 4 cm

for max tolerable error in length 'da', differentiate eqn (1) w.r.t 'a':

dA = 2a da

0.03 = 2\times 4\times da

da = \frac{0.03}{8}

da = 0.0375 cm

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What percent of 134 is 66? (To the nearest tenth of a percen t)
dezoksy [38]

Answer: 49.25

Step-by-step explanation:

3 0
2 years ago
If a+b=9 and ab=18,find the value of a and b.
Blizzard [7]

Answer:

Given:

a + b = 9

=> a = 9 - b

Given:

a x b = 18

=> (9 - b) x b = 18

=> 9b - b^2 = 18

=> b^2 - 9b + 18 = 0

=> (b - 3)(b - 6) = 0

=> b = 3 => a = 6

=> b = 6 => a = 3

Hope this helps

:)

3 0
3 years ago
In Mr. Elliot's garden, 1 8 of the flowers are red, 1 4 of them are purple, and 1 4 of the remaining flowers are pink. If there
german

Answer:

20

Step-by-step explanation:

Given that:

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/4 of fraction left ;

1/4 * 5/8 = 5/32

Number of pink flowers

Total number of flowers = 128

5/32 * 128

640 / 32

= 20

20 pink flowers

4 0
3 years ago
Which of the following best describes the solution to the system of equations below?
liraira [26]

For this case we have the following system of equations:

6x + 3y = 6\\6x + 3y = 14

We multiply the first equation by -1:

-6x-3y = -6

We have the following equivalent system:

-6x-3y = -6\\6x + 3y = 14

We add the equations:

-6x + 6x-3y + 3y = -6 + 14\\0 = 8

Equality is not fulfilled, so the system of equations has no solution.

Answer:

Option C

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3 years ago
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