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babunello [35]
3 years ago
15

Can the numbers 24,32,40 be the lengths of three sides of a right triangle?

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

using pythagorus theorum:   a^{2} + b^{2} = c^{2}

24^{2} +32^{2} =  1024+576

                        =   1600

40^{2} = 1600

thus, it can be concluded that these lengths can be the sides of a right-angled triangle.

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. Un turist a parcurs un traseu în trei zile. În prima zi turistul a parcurs
Dahasolnce [82]

Answer:

The total length of route travelled in 3 days = 30 km

Lungimea traseului parcurs în cele trei zile = 30 km

Step-by-step explanation:

English Translation of the Question

A tourist traveled a route in three days. On the first day the tourist covered 40% of the length of the route, on the second day the tourist covered 5/6 of the remaining distance after the first day, and on the third day the remaining 3 km. Calculate the length of the route traveled in the three days.

Let the total length of the route be x.

Lungimea traseului parcurs în cele trei zile = x

- On the first day, the tourist covers 40% of the total length of the route;

În prima zi turistul a parcurs 40% din lungimea traseului

That is, 40% of x = 0.4x

- On the second day, the tourist covered 5/6 of the remaining journey.

în a doua zi turistul a parcurs 5/6 din distanța rămasă de parcurs după prima zi

The remaining journey after day 1 = x - 0.4x = 0.6x

(5/6) of the remaining journey = (5/6) × 0.6x = 0.5x

- On the third day, the toursit travels the total remaining length of the route = 3 km

iar în a treia zi restul de 3 km

The total remaining length of the route = x - 0.4x - 0.5x = 0.1x

0.1x = 3

x = (3/0.1) = 30 km

The Hope this Helps!!!

3 0
4 years ago
Can you please help thanks
katrin2010 [14]

Answer:5/2a + 10/3b

Step-by-step explanation:

(1/6)(15a+20b)

=(1/6)(15a)+(1/6)(20b)

6 0
3 years ago
Consider the diagram.
damaskus [11]
Side Side Side is the answer
7 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!
kvasek [131]

Answer:

B. 2/3

Step-by-step explanation:

To solve this we have to take into account this axioms:

- The total probability is always equal to 1.

- The probability of a randomly selected point being inside the circle is equal to one minus the probability of being outside the circle.

Then, if the probabilities are proportional to the area, we have 1/3 probability of selecting a point inside a circle and (1-1/3)=2/3 probability of selecting a point that is outside the circle.

Then, the probabilty that a random selected point inside the square (the total probability space) and outside the circle is 2/3.

3 0
3 years ago
9. Determine how long it takes for 80% of the material to decay.
Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

A(t) = A(0)e^{-kt}

In which:

  • k is the decay rate, as a decimal.
  • A(0) is the initial amount.

The half-life is of 8 days, hence A(8) = 0.5A(0), and this is used to find k.

A(t) = A(0)e^{-kt}

0.5A(0) = A(0)e^{-8k}

e^{-8k} = 0.5

\ln{e^{-8k}} = \ln{0.5}

-8k = \ln{0.5}

k = -\frac{\ln{0.5}}{8}

k = 0.08664339757

Hence:

A(t) = A(0)e^{-0.08664339757t}

The time it takes for 80% of the material to decay it t for which A(t) = 0.2A(0), hence:

0.2A(0) = A(0)e^{-0.08664339757t}

e^{-0.08664339757t} = 0.2

\ln{e^{-0.08664339757t}} = \ln{0.2}

-0.08664339757t = \ln{0.2}

t = -\frac{\ln{0.2}}{0.08664339757}

t = 18.6

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0
3 years ago
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