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goblinko [34]
3 years ago
12

PLEASE PLEASE HELP ME WITH THIS QUESTION PLEASE AND SHOW YOUR STEPS PLEASE help me please

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

4a)= 2.1m    4b)= 1.9 m    5)= 29.6º

Step-by-step explanation:

4a):

x is the opp

AB is the hyp

BC is the adj

thus,

sin32 = x/4

cross multiply, x= 4*sin32

x= 2.1196.......

x=2.1 m

4b).

x is the hyp

ac is the opp

bc is the adj

thus,

cos65=4.5/x

cross multiply, x= 4.5*cos65

x=1.9017....

x=1.9 m

5).

AB is the opp

bc is the adj

ac is the hyp

thus:

tanC= 2.1/3.7

C= tan^-1 (2.1/3.7)

C= 29.5778.....

C= 29.6º

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Answer:

34.4

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Express $0.\overline{5}$ as a common fraction in lowest terms.
andreyandreev [35.5K]
<h3>Answer:  5/9</h3>

=======================================================

Explanation:

0.\overline{5} means that the 5's go on forever because of that horizontal bar over top. So we can write it as 0.\overline{5} = 0.55555\ldots

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

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