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3 years ago

Solve for x round to nearest tenth of a degree

Mathematics

1 answer:

Lena [83]3 years ago

5 0

To find the measure of angle NLM which is x, we must use trigonometry.

In this case we use the sine function:

$sin(x) =$ (side opposite angle NLM) / (hypotenuse)

$sin(x) = \frac{4.9}{7.5} \\x = sin^{-1}(\frac{4.9}{7.5})\\x= 40.8 degrees$

Hope that helps!

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(6+√25)/(4-√3) can be written in the form of (2+s√3)/13 where r and s are both integers what are the values of r and s

cestrela7 [59]

Answer:

r = 33

s = 18

Step-by-step explanation:

Given expression is $\frac{6+\sqrt{27}}{4-\sqrt{3}}$ .

Multiply numerator and denominator with the conjugate of (4 - √3).

$\frac{(6+\sqrt{27})(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}$

= $\frac{4(6+\sqrt{27})+\sqrt{3}(6+\sqrt{27})}{4^{2}-(\sqrt{3})^2}$

= $\frac{24+4\sqrt{27}+6\sqrt{3}+\sqrt{81})}{16-3}$

= $\frac{24+12\sqrt{3}+6\sqrt{3}+\sqrt{81})}{16-3}$

= $\frac{24+18\sqrt{3}+9}{13}$

= $\frac{33+18\sqrt{3}}{13}$

Now compare this expression with $\frac{r+s\sqrt{3} }{13}$

r = 33

s = 18

3 0

3 years ago

Mai has 4 CDs that she is going to give away. She lets her best friend choose 3 of the 4 CDs. How many different groups of 3 CDs

Alekssandra [29.7K]

You can make 24 different groups of cds

4 0

3 years ago

Over the first five years of owning her car, Gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050

attashe74 [19]

The answer is mean = 13,027; median = 12,200; no mode

Let's rearrange values from the lowest to the highest:
11350, 12050, 12200, 13325, 16211

The mean is the sum of all values divided by the number of values:
(11350 + 12050 + 12200 + 13325 + 16211)/5 ≈ 13027

The median is the middle value. If there is an odd number of data, then the median is the value in the middle. In the data set 11350, 12050, 12200, 13325, 16211, the median (the middle value) is 12200

The mode is the value that occurs most frequently. Since none of the number does not occur most frequently, there is no mode.

7 0

3 years ago

Read 2 more answers

Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. H

Sergeeva-Olga [200]

Answer:

The answer is b. But you asked for the thought process so...

Step-by-step explanation:

Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.

And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Have a great day :)

4 0

3 years ago

What is ; 3 3/4 - 2 1/5 thanks!

kari74 [83]

Answer:1 11/20 (I think)

Step-by-step explanation: First subtracting 3 - 2 gets you 1. so we keep that aside and do fractions. first, what do 4 and 5 have in common? They both can be turned to 20. 3/4 can be multiplied to 20 4x5(20) so we do 3x5=15 now you have 15/20. Hope this makes sense. now we do 1/5 to ?/20 5x4=20 1x4=4 so 15/20-4/20=11/20 11/20+1= 1 11/20

-Sorry if its too complicated

(undo ur answer if u trusted me before bc I messed up)

(its good now)

5 0

3 years ago

Read 2 more answers