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3 years ago

a right triangle has side lengths of 5cm, 12cm, and 13cm. what is the length of hypotenuse? how do you know?

Mathematics

2 answers:

HACTEHA [7]3 years ago

6 0

The hypotenuse would be 13 cm because the hypotenuse is always the longest side

Galina-37 [17]3 years ago

4 0

The hypotenuse is 13.

The hypotenuse is the longest side of a right angled triangle

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Choose the equivalent system of linear equations that will produce the same solution as the one given below.

dmitriy555 [2]

C: 3x + 2y = 6
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4 years ago

PLEASE HELP ME

natulia [17]

Answer:

Broker1 with $66.

Broker2 with $54.25

Broker4 with $50

Broker3 with $47.5

Broker5 with $33.5

Explanation :

Total number of shares Cindy have : 300

Market Price per share : $25

Total price for the shares : 300 $\times$ $25

= $7500

Now ,

Case 1:

Commission provided by broker1 = 0.75%

Online fees provided by broker1 = $ 10

Total price provided by broker1= $\frac{75}{10000}\times7500 +$10$

=$66.25

Case 2:

Commission provided by broker2= 0.5%

Online fees provided by broker2=$17

Total price provided by broker2= $\frac{5}{1000}\times 7500 + $17$

=$54.5

Case 3:

Commission provided by broker 3= 0.6% for 100 0r few

Not applicable because the total shares are 300

For over 100 shares

Commission provided= 0.5%

Online fees = $10

Total price = $\frac{5}{1000}\times 7500 + $10$

=$47.5

Case 4:

For more than 100 shares

Online fees for buying and sharing= $50

Total price = $50

Case5 :

Commision for a share bought or sold = 0.05%

Online fees =$30

Total Price= $\frac{5}{10000}\times 7500 + $30$

=$33.75

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3 years ago

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find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer

nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring: (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.

The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10 True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

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3 years ago