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Oxana [17]
3 years ago
9

Convert 8.1616 to a fraction

Mathematics
2 answers:
loris [4]3 years ago
7 0

<u>The answer is 808/99</u>




Dominik [7]3 years ago
6 0

Answer:

8 16/99

Step-by-step explanation:


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In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degree and radian....​
Nostrana [21]

\huge\fbox{Answer ☘}

since we've a right angled triangle

therefore , one angle of the triangle is 90°

applying Angle Sum Property of triangle which states that the sum of all the angles of a triangle is equal to 180° , we get

4x + 5x + 90° = 180° \\\\ 9x + 90° = 180° \\\\ 9x = 180° - 90° \\\\ 9x = 90° \\\\ x =  \frac{\cancel{90}}{\cancel{9}}  = 10°

therefore , the angles are

<h3>( In degree measure )</h3>

\bold\blue{4x = 4 ( 10 ) = 40°}\\\bold\blue{5x = 5 ( 10 ) = 50°}

<h3>( In radians )</h3>

40 \: in \: radians =  \frac{\pi}{18\cancel{0}}  \times 4\cancel{0} \\ \bold\blue{ =  >  \frac{4\pi}{18}  \: radians}

50 \: in \: radians =  \frac{\pi}{18\cancel{0}}  \times 5\cancel{0} \\  \bold\blue{=  >  \frac{5\pi}{18}  \: radians}

hope helpful~

8 0
3 years ago
The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
4 years ago
The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years, the
vekshin1

Answer:2.5

Step-by-step explanation:

5 0
3 years ago
Which lines, if any, must be parallel based on the given information
pav-90 [236]
Lins a and d i think. dont quote me
3 0
3 years ago
Jane gets a simple interest loan for $2500. If the bank charges 3% interest rate how much will her balance be after 5 years?
Degger [83]
2500 divided by 100 is 25. If you multiply 25 times 3 you'll get 75. Repeat those steps (answers will be different each time) five times. You will get the answer.

Don't want to do that? OK! I'll do it for you!

Answer: <span>2577.31958575</span>
6 0
3 years ago
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