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LenaWriter [7]
3 years ago
15

Right triangle abc has one leg of length 6 cm, one leg of length 8 cm and a right angle at

Mathematics
1 answer:
Sauron [17]3 years ago
6 0
Answer:
side length of the square = 10 cm

Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm

This means that the length of the side of the square is also 10 cm

Hope this helps :)

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Johnson rode her bike 7 miles to a lake. She rode 3/4 of distance to the lake before lunch. How many miles did Johnson ride befo
Virty [35]

Answer:

5.25 miles.

Step-by-step explanation:

What I did was I took 3/4 and made it into its decimal form which is 3/4. I then times it by 7 to get 5.25.

5.25 miles is your answer.

5 0
3 years ago
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Solve if you solve it you get 12 points<br> (6m−7)⋅4
erma4kov [3.2K]

Answer:

24m-28

Step-by-step explanation:

4*6m=24m

-7*4=-28

24m -28

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2 years ago
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The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
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Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57                          11) 1117        21) 2177       31) 3237

2) 57 + 106= 163      12) 1223      22) 2283    32) 3343

3) 269                      13) 1329      23) 2389     33) 3449

4) 375                       14) 1435      24) 2495     34) 3555

5) 481                        15) 1541       25) 2601     35) 3661

6) 587                       16) 1647      26) 2707     36) 3767

7) 693                       17) 1753       27) 2813      37) 3873

8) 799                       18) 1859       28) 2919     38) 3979

9) 905                       19) 1965       29) 3025    39) 4085

10) 1011                      20) 2071       30) 3131      40) 4191

I hope it helps!

3 0
3 years ago
Marian went shopping and bought clothes for $66.17 and books for $44.98. She then had a meal at the mall for $20.15. Which is th
scZoUnD [109]

Answer:

Either 130 or 131 would be acceptable.

Step-by-step explanation:

When we estimate, we do not use exact values.

66.17 is close to 66

44.98 is close to 45

20.15 is close to 20

           

Add the estimates together: 66+ 45+ 20 = 131

We could also estimate 66.17 to 65 which would give us an estimate of 130




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Write an expression that can be used to multiply 6x198 mentally
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