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telo118 [61]
3 years ago
14

What is the value of x? enter your answer as a decimal to the nearest tenth in the box

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

For this case we have to define trigonometric relationships in rectangular triangles that:

The sine of an angle is given by the opposite leg to that angle on the hypotenuse of the triangle.

Then, according to the figure shown we have to:

Sin (47) = \frac {x} {18}

So, clearing the value of "x" we have:

x = Sin (47) * 18\\x = 0.7314 * 18\\x = 13.16

We round and we have the value of "x" is: 13.2 \ ft

Answer:

13.2 \ ft

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2 years ago
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

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3 years ago
What information do you need to write an equation of a line and make a graph?
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Brainliest?! Hope it helps.
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