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k0ka [10]
3 years ago
6

FGH is a right angle true or false

Mathematics
2 answers:
galina1969 [7]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

f to h to g is a right triangle

jeka57 [31]3 years ago
7 0

Answer:

The correct option is B.

Step-by-step explanation:

According to the Pythagoras theorem, in a right angled triangle the sum of squares of both legs is equal to the square of hypotenuse.

hypotenuse^2=perpendicular^2+base^2

From the given triangle it is clear that the measure of both legs are 6 units and √(63) units , and the measure of hypotenuse is 10 units.

(10)^2=(\sqrt{63})^2+(6)^2

Solve the LHS,

LHS=(10)^2

LHS=100

Solve the RHS,

RHS=(\sqrt{63})^2+(6)^2

RHS=63+36

RHS=99

LHS\neq RHS

The given triangle FGH is not a right angled triangle, therefore the correct option is B.

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In a recent​ year, an author wrote 171 checks. Use the Poisson distribution to find the probability​ that, on a randomly selecte
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Answer: 0.3741

Step-by-step explanation:

Poison probability ;

P(x) = [U(^x) e(^-U)] ÷ x!

Where U = mean

Note: e = exponential symbol

Number of checks that year = 171

Number of days in a year = 365

U = 171/365 = 0.468

Average checks per day = 0.4685

Probability that at least one check was written per day is can be calculated by;

P(not 0) = 1 - P(0)

Therefore,

P(x) = [U(^x) e(^-U)] ÷ x!

P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!

P(0) = [ 1 * 0.6259] ÷ 1

P(0) = 0.6259

Therefore,

P(not 0) = 1 - 0.6259 = 0.3741

4 0
2 years ago
What is the trapezoid enter your answer in the box 4,5,17,5
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Answer:

88unit^2

Step-by-step explanation:Area=

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Area=88unit^2

7 0
2 years ago
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It has been estimated that a student’s final grade in a course decreases by 5 points for every 2 days absent from class. If a st
cluponka [151]

10 points, 2 times 4 equals 10 points.


8 0
3 years ago
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The question is find x
Allushta [10]

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BC}{EF} = \frac{CD}{FG}

Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4

Substitute given values into the equation

\frac{3}{6} = \frac{4}{x} ( cross- multiply )

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8 0
3 years ago
Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were t
eduard

Answer:

We are given the below data:

Sample Number              Sample Mean

1                                                 11.8

2                                                 12.5

3                                                 15.1

4                                                 14.3

5                                                 13.0  

6                                                 12.9

7                                                 10.2  

8                                                 11.5

9                                                 12.9

10                                                15.4

Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:

Mean = \frac{11.8+12.5+15.1+14.3+13.0+12.9+10.2+11.5+12.9+15.4}{10}

               =12.96

Therefore, the most likely mean of the population from which the samples were taken is 12.96

7 0
3 years ago
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