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alexandr402 [8]
3 years ago
15

A square has side length of 10 units. find the approximate length of the diagonal.

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0
By the Pythagorean theorem, d = sqrt(10^2+10^2) = 10*sqrt(2) = appr 14.14 units
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kogti [31]

Answer:k

Step-by-step explanation:

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3 years ago
Which expression is equivalent to a + 4a + 8?<br> 05a<br> 13a<br> a + 12<br> 5a + 8
aleksandrvk [35]

Answer:

5a +8

Step-by-step explanation:

a+4a=5a

5a+8

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6 0
3 years ago
suppose the population of a certain city is 5355 thousand. It is expected to decrease to 4566 thousand in 50 years. Find the per
xz_007 [3.2K]

Answer: 14.7338936% decrease

\frac{5355}{100} = \frac{4566}{x}

cross-multiply

85.2661064 = x

100 - 85.2661064 = 14.7338936

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If permitted, you may round for a simpler (yet less precise and exact) answer.  For instance, rounding to the hundredths would make it ~14.73%.

5 0
3 years ago
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
steposvetlana [31]

Answer:

4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Step-by-step explanation:

Let w = wooden block

Let p = plastic bricks

<u>Given the following data;</u>

Price of wooden block per pounds = $5

Price of plastic brick per pounds = $10

*Translating the word problem into an algebraic equation*

For the 10-pound mixture;

w + p = 10 .........equation 1

For the $80 mixture;

5w + 10p = 80 ..........equation 2

Solving the linear equation by using the substitution method;

Making w the subject in equation 1:

w = 10 - p .......equation 3

Substituting "w" into equation 2;

5(10 - p) + 10p = 80

Simplifying the equation, we have;

50 - 5p + 10p = 80

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Rearranging the equation, we have;

5p = 80 - 50

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p = \frac {30}{5}

p = 6 pounds (For the plastic brick).

To find w;

Substituting "p" into equation 3;

w = 10 - 6

w = 4 pounds (For the wooden block).

4 0
3 years ago
Bryan earns $11.80 per hour. He is paid time and a half for hours worked over 8 hours in a day. Yesterday Bryan worked 9.25 hour
zloy xaker [14]

Answer:

$116.53

Step-by-step explanation:

Bryan earn's 11.80 per hour. He is paid time and a half for hours worked over 8hrs in a day. So if you divide 11.80 by 2, you get 5.90.

11.80+5.90=17.70. This is the amount he gets paid if he works overtime.

If Bryan worked 9.25 hrs yesterday, we already know that he made $94.40 in 8 hours. We have to find the amount he got paid for working over time.

The remaining hours are 1.25. We can add $17.70 to 94.40 to get 112.10. Now we have to figure out the remainder which is a quarter of an hour. Multiply 17.70 by .25 and you will get 4.43.

The total amount he got paid for working over time was $116.53.

5 0
3 years ago
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