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e-lub [12.9K]
3 years ago
10

Select whether to use the Pythagorean Theorem or its converse in each situation.

Mathematics
1 answer:
notsponge [240]3 years ago
7 0
1. Pythagorean Theorem
2. Converse
3. Pythagorean Theorem
4. Pythagorean Theorem
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Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam
Liula [17]

Answer: 3 miles per hour

<u>Step-by-step explanation:</u>

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

Let "c" represent the current

                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

                                                                                    c =   3

4 0
3 years ago
How many odd integers are there between 101 and 999 have distinct digits?
guapka [62]
Every number will have only 3 digits. In the ones place, there are 5 choices. For every choice of digit made in the ones place, there are 8 possible choices for the hundreds place (you can choose from 1-9, omitting whatever is used in the ones place), and there are 8 possible choices for the tens place (you can choose from 0-9, omitting whatever has already been used elsewhere).

So there are 7\cdot8\cdot8=320 such numbers.
8 0
3 years ago
What is the LCM of 539, and 15?
aev [14]
<u>LCM on 539 and 15 :</u>

539 x 15
= 8 085

Answer : 8 085

8 0
3 years ago
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Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c
Nitella [24]

Answer:

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6 0
3 years ago
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What is 12/25 as a decimal?
svp [43]
0.48- Use a calculator if you need it. Use your multiples if needed. Hava a good day!
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