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GaryK [48]
3 years ago
8

Law of sines: in △fgh, h = 10, m∠f = 65°, and m∠g = 35°. what is the length of g? use the law of sines to find the answer.

Mathematics
2 answers:
gladu [14]3 years ago
5 0
M∠H = 180° - ( 65° + 35° ) = 180° - 100° = 80°
The Law of sines:
h / sin H = g / sin G
10 / sin 80° = g / sin 35°
10 / 0.9848 = g / 0.5736
g = ( 10 · 0.5736 ) : 0.9848 = 5.736 : 0.9848 = 5.8245 ≈ 5.8
Answer: g = 5.8
Margarita [4]3 years ago
4 0

Answer:

I think 5.8 is the correct answer. see picture

Step-by-step explanation:

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The next model of sports car will cost 11 9% more than the current model. The current model costs $18,000 How much will the pric
Anon25 [30]

Answer: Down below

Step-by-step explanation:

We know that 11.9% is the same as .119

The price increase = .119 * 58000 = 6902

The price of the new model is 6902+ 58000

3 0
2 years ago
How do you find the length of a diagonal right triangle ?
V125BC [204]
Unsure what you mean by diagonal right triangle

but if you wanted to find the hypothenuse (longest side) of a right triangle, you can apply pythagorean theorem

a^2+b^2=c^2
where c is the hypothenuse
a and b are the other sides
7 0
3 years ago
I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!
frutty [35]

Answer:

17) x=8

18) x=\sqrt{189} or x= 3\sqrt{21}

Step-by-step explanation:

So the rule is a^{2} +b^{2} =c^{2}, "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

                                               x^{2} +x^{2} =(8\sqrt{2})  ^{2}

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)    

                                                2x^2=8^2(\sqrt{2} )^{2}  

                                                  2x^2=64(2)

                                                   2x^2=128    

                                                  x^{2}= 128/2  

                                                     x^{2} =64

                                                        x=8      

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

                                                    c^{2} - b^{2} = a^{2}

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

                                                   15^{2} -6^{2} =x^{2}

                                                   225-36=x^{2}  

                                                     x^{2} =189

                                               x=\sqrt{189}=3\sqrt{21}

        The more you do these, the easier they'll get, so don't worry!

                           

4 0
3 years ago
Billy has x marbles. Write an
babymother [125]

Answer:

Charlie = 5 + x

Danny = x - 8

Eric = 3x

Step-by-step explanation:

Given

Billy's Marble = x

Required

Determine a,b and c

a. Charlie's Marble

"5 more" means 5 + or + 5

Since Billy's Marble is represented with x, then Charlie's Marbles will be

Charlie = 5 + x

b. Danny's Marbles

Having "8 fewer" means we have to subtract 8 from Billy's marble;

Since Billy's Marble is represented with x, then Danny's Marbles will be

Danny = x - 8

c. Eric Marbles

Having "three times as " means we have to multiply Bill's marble by 3;

Since Billy's Marble is represented with x, then Danny's Marbles will be

Eric = 3 * x

Eric = 3x

3 0
3 years ago
If a TV has 200 ft by 875 ft what is the total mass of it
mafiozo [28]
There's no way to find the mass with the information given.
"200 ft" and "875 ft" are linear dimensions ... things you would
measure with a ruler.  They tell us how long or wide or high the
TV is.  None of that information tells us anything about its mass.

By the way ... those are gigantic measurements.  I was working
in Wrigley Field here in Chicago just before opening day in 2015,
when the new video screens were being installed.  I saw them
up close while the cranes lifted them into position.  None of the
Chicago Cubs' new screens is as big as the numbers in the question,
and I'm pretty sure the whole score-board isn't that big either.
Something is definitely wrong here.
8 0
3 years ago
Read 2 more answers
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