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shtirl [24]
3 years ago
8

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

n=42, m=42\sqrt{3}

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · \sqrt{3}, which is the same as 42√3.

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What expression is equivalent to m-4/m+4 divided by (m+2)
Ilya [14]
The first answer is correct coz ( for instance ) ‘x’ is divided by ‘y’ then this is similar to the x multiples by 1/y

So in that case, if we apply the same analogy to this question then the answer would be m-4/(m+4) ( m+2)
7 0
3 years ago
Read 2 more answers
Y = 8x + 10<br><br> y = 2<br><br> whats the substitution ?
viva [34]

Answer:

Look at the explanation.

I'll be online so let me know if you still need help.

Step-by-step explanation.

A system of equations is basically two or more equations that rely on each other. If a solution for a variable is 2, it has to work for the other equation.

The substitution is basically plugging in the y value to y = 8x + 10

If y = 2

and also y = 8x + 10

What do you think the substitution is?

3 0
2 years ago
Fine each angle measure to the nearest degrees.<br> Sin W=0.7771
monitta

Answer:

51 deg

Step-by-step explanation:

Sin W=0.7771

W = sin^{-1} 0.7771   (use calculator)

W = 50.996 deg

= 51 deg (to nearest degree)

3 0
3 years ago
The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle
Dovator [93]

\large \underline{ \mathbb{QUESTION:}}

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

\large\underline{ \mathbb{ANSWER  \: \& \: SOLUTION:}}

\large \tt{ tan \: x \:  =  \:  \frac{opposite}{adjacent} }

\large \tt{tan  \: x \:  =  \:  \frac{4}{9}}

\large \tt{ \:   \: \:  \:   \:  \:  \: \: x \:  =  \:  tan ^{ - 1}  \:  (0.444)}

\large \tt {\:  \:  \:  \:  \:  \:  \:  \: x \:  =  \: 23.96 ^{o} }

\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{  x \:  =  \: 24 ^{o} }}}

Therefore the angle of depression from the lifeguard to the boy is 24°.

8 0
2 years ago
Simplify: 5x+9y-7x+2-5y-7x+2-3x<br><br> please help
juin [17]
So you add all the like terms.......i.e numbers with same variable
so,
5x+9y-7x+2-5y-7x+2-3x
=(5-7-7-3)x+(9-5)y+2+2
=-12x+4y+4
6 0
3 years ago
Read 2 more answers
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