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aalyn [17]
4 years ago
11

What is the length of the diagonal of a square with side length 50\sqrt{2} cm? Express your answer in simplest form.

Mathematics
1 answer:
jenyasd209 [6]4 years ago
5 0

Answer:

Length of diagonal = 100 cm

Step-by-step explanation:

Given:

Side length of square = 50\sqrt{2}   cm

Using pythagorean theorem:

Sum of squares of sides = Square of Diagonal

( 50\sqrt{2} )^2 + ( 50\sqrt{2} )^2 = x^2

Solving for x:

x^2 = 10000\\x = 100

Therefore,

Length of diagonal = 100 cm

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Alex_Xolod [135]

Answer: the answers are -3 and -6

Step-by-step explanation:

6 0
3 years ago
Help fast please and thanks
Rudik [331]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Question 8 -
FinnZ [79.3K]

Answer:

Her wage on the 8th day is $105 ⇒ answer d

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The average of set of data = The sum of data/the number of data

- The sum of data = the average of set of data × the number of data

∵ Cindy worked for 15 consecutive days

∵ She is earning an average wage of $91 per day

∴ Her total earning = 91 × 15 = $1365

∵ Her average earning during the first 7 days is $87 per day

∴ Her total earning in the first 7 days = 87 × 7 = $609

∵ Her average earning during the last 7 days is $93 per day

∴ Her total earning in the last 7 days = 93 × 7 = $651

- Her total earning in the 14 days is the sum of the earning in the

 first 7 days and the earning during the last 7 days

∵ Her total earning in the 14 days = 609 + 651 = $1260

∵ Her total earning in the 15 days is $1365

- To find her wage on the 8th day subtract her wage of the 14 days

  from her wage of the 15 days

∴ Her wage on the 8th day = 1365 - 1260 = $105

* Her wage on the 8th day is $105

7 0
3 years ago
Sarah had three times as many quarters as nickels. She had $3.20 in all. How many quarters did she have?
marin [14]

She have 12 quarters

<h3>what is unitary method?</h3>

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

There are two situation in Unitary method:

There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

If she had 12 quarters, then

12 * .25 = $3 ( quarters)

4 * .05 = $.2 ( in nickels)

Hence, she have 12 quarters.

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ2

5 0
2 years ago
Read 2 more answers
15 (6) List all numbers for which the rational expression is undefined x+12/x(x-2)
Gala2k [10]

0 and 2.

These numbers will make the rational expression undefined.

basically the denominator will be 0 which is undefined.

7 0
3 years ago
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