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nlexa [21]
2 years ago
6

The original blueprint of a rectangular concrete patio has a scale of 2 inches = 3 feet. The blueprints dimensions are 14 in by

12 in. What is the actual area of the rectangular patio?
Mathematics
1 answer:
tester [92]2 years ago
5 0

Answer:

3+2     14+12 i guess

Step-by-step explanation:

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What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​
navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16
<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2\\

Let's substitute the values and solve for the missing side

x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0
2 years ago
Every evening, two weather stations issue weather forecast for the next day. The weather forecasts are independent. On average,
EleoNora [17]

Answer:

The probability is 0.6923

Step-by-step explanation:

Let's call R the event that the next day rains, S the event that the next day has sunny weather, R2 the event that the station 2 predicts rain and S1 the event that station 1 predict sunny weather.

The probability that the next day has sunny weather given that station 1 predicts sunny weather for the next day and station 2 predicts rain is calculated as:

P(S/S1∩R2) = P(S∩S1∩R2)/P(S1∩R2)

Where P(S1∩R2) = P(R∩S1∩R2) + P(S∩S1∩R2)

So, the probability P(R∩S1∩R2) that the next day rains, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(R∩S1∩R2) = 0.5 * 0.1 * 0.8 = 0.04

Because 0.5 is the probability that the next day rains, 0.1 is the probability that station 1 predicts sunny weather given that it is going to rain and 0.8 is the probability that station 2 predicts rain given that it is going to rain.

At the same way, the probability P(S∩S1∩R2) that the next day has sunny weather, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(S∩S1∩R2) = 0.5 * 0.9 * 0.2 = 0.09

Then, the probability P(S1∩R2) that station 1 predicts sunny weather for the next day, whereas station 2 predicts rain is:

P(S1∩R2) = 0.04 + 0.09 = 0.13

Finally, P(S/S1∩R2) is:

P(S/S1∩R2) = 0.09/0.13 = 0.6923

6 0
3 years ago
9x - 3 + x² , when x = 4
Fiesta28 [93]

Answer:

49

Step-by-step explanation:

hope this helps

9(4)-3+4^2

36-3+4^2

33+4^2

33+16

49

8 0
2 years ago
Read 2 more answers
A watermelon seed is 0.4 long. How far would a line of 112 watermelon seeds stretch?
Korvikt [17]

Since one watermelon seed is 0.4 long, you can multiply 0.4 by 112

0.4 x 112 = 44.8

So it will be 44.8 long

8 0
3 years ago
If f(x) and f^-1(x) are inverse functions of each other and f(x) = 2x+5, what is f^-1(8) ? O -1 O 3/2 O 41/8 O 23​
Nookie1986 [14]

Answer:

Step-by-step explanation:

4 0
3 years ago
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