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3 years ago

The sum of a rational number and a irrational number

Mathematics

1 answer:

Zanzabum3 years ago

5 0

Answer:

positive number

Step-by-step explanation:

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A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive,

Sonbull [250]

Answer:

$\frac{1}{270}=0.00370$

Step-by-step explanation:

As the numbers are only between 1 and 30

Total number of possible combinations = 30×30×30 = 27000

If there are 100 attempts then

$\text{P (someone guesses correct)}=\frac{\text{Number of attempts}}{\text{Total number of possible combinations}}\\\Rightarrow \text{P (someone guesses correct)}=\frac{100}{27000}\\\Rightarrow \text{P (someone guesses correct)}=\frac{1}{270}=0.00370$

∴ Probability someone can guess the correct combination given 100 attempts is $\mathbf{\frac{1}{270}=0.00370}$

5 0

3 years ago

HELP PLEASE <br> solve the right triangle

aleksandrvk [35]

Answer:

Part 1) $FG=4.4\ units$

Part 2) $EF=3.9\ units$

Part 3) $m\angle G=63^o$

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

$sin(27^o)=\frac{GE}{FG}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(27^o)=\frac{2}{FG}$

$FG=\frac{2}{sin(27^o)}=4.4\ units$

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

$cos(27^o)=\frac{EF}{FG}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(27^o)=\frac{EF}{4.4}$

$EF=cos(27^o)(4.4)=3.9\ units$

step 3

Find the measure of angle G

we know that

$m\angle G+27^o=90^o$ ---> by complementary angles in a right triangle

$m\angle G=90^o-27^o=63^o$

7 0

3 years ago

Consider the Triangle Sum Theorem in relation to a right triangle. What conjecture can you make about the two acute angles of a

Anon25 [30]

They must be complementary. these 2 angles MUST equal 90 degrees because there is a right angle that is 90 degrees in the triangle already and all triangles have an angle sum of 180 degrees. the answer is complementary

7 0

3 years ago

Please help get value of x. I believe it is 7 but idk.

den301095 [7]

The value of x would be 8

3 0

3 years ago

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This is 10 points plz help ( NO LINKS )

Semenov [28]

Answer:

D is correct

Step-by-step explanation:

The opposite of a negative number is the positive version of it which is 3.5 and the absolute value of a number is always the positive version of a number which would make it also 3.5. For example absolute value of -4 is 4 and absolute value of 5 is 5.

4 0

3 years ago

Read 2 more answers

The sum of a rational number and a irrational number​

The sum of a rational number and a irrational number