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Anna11 [10]
3 years ago
15

In the right triangle and the value of x by using the Pythagorean theorem. round the answer to the nearest tenth

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

21.7

Step-by-step explanation:

by Pythogorean theorm= 27^2 -16^2=x^2

x^2=729-256

x^2=473

x=√473

x=21.7

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daser333 [38]

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7 0
3 years ago
coin $a$ is flipped three times and coin $b$ is flipped four times. what is the probability that the number of heads obtained fr
ivolga24 [154]

The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.

Probability:

Probability means the fraction of favorable outcome and the total number of outcomes.

So it can be written as,

Probability = Favorable outcomes / Total outcomes

Given,

The coin a is flipped three times and coin b is flipped four times.

Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.

We know that,

There are 4 ways that the same number of heads will be obtained;

0, 1, 2, or 3 heads.

The probability of both getting 0 heads is

$\left(\frac12\right)^3{3\choose0}\left(\frac12\right)^4{4\choose0}=\frac1{128}$

Probability of getting 1 head,

$\left(\frac12\right)^3{3\choose1}\left(\frac12\right)^4{4\choose1}=\frac{12}{128}$

Probability of getting 2 heads is,

$\left(\frac12\right)^3{3\choose2}\left(\frac12\right)^4{4\choose2}=\frac{18}{128}$

And the probability of getting 3 heads is,

$\left(\frac12\right)^3{3\choose3}\left(\frac12\right)^4{4\choose3}=\frac{4}{128}$

Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,

=> (1/128) + (12/128) + (18/128) + (4/128)

=> 35/128.

To know more about probability here

brainly.com/question/14210034

#SPJ4

4 0
1 year ago
A train leaves Kaduna for Lagos at 64km/h and an express to Kaduna leaves Lagos an hour later at 96km/h. If the distance between
LenKa [72]
Good to see you here. Now back to the train. 

Kaduna, K                                                                                   Lagos, L
 
Train leaves at 64 km/h

One hour late second train leaves Lagos at 96 km/h.

At the point they meet, if first train has been travelling for "x" hours. Second train has been travelling for (x-1) hour.

At the point the meet, the total distance travelled is equal to 624 km.

Therefore:

64(x) + 96(x-1) = 624
64x + 96x - 96 = 624
160x = 624+96
160x =       720             , x = 720/160 = 4.5

So when they meet, the first train which left Kaduna has travelled= 64x = 64*4.5= 288km from Kaduna.

So it is (624-288) km from Lagos. = 336 Km from Lagos.

Second train which left Lagos has travelled = 96(x-1) = 96(4.5-1) = 336km.
The second train is also 336 km away from Lagos.

Cheers.

3 0
3 years ago
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