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m_a_m_a [10]
3 years ago
6

Please ehlp delta math with explanation please

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

134.3

Step-by-step explanation:

In \triangle{WXZ}, a right triangle, look at sides XW and XZ.

\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}

You now need to find XW.

In \triangle{XYZ}, the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.

Using the Law of Sines in triangle XYZ,

\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}

Put that into the equation for XW above...

XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}

A calculator shows that this is approximately 134.3

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<h3>Right-angled triangle</h3>

Find the diagram attached

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sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet

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Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field
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She bought 54 child tickets and 19 adult tickets.

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Cost of one adult ticket = $15

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Adult ticket = y

According to given statement;

x+y=73   Eqn 1

9x+15y=771   Eqn 2

Multiplying Eqn 1 by 9;

9(x+y=73)\\9x+9y=657\ \ \ Eqn\ 3\\

Subtracting Eqn 3 from Eqn 2;

(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114\\

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Putting y=19 in Eqn 1

x+19=73\\x=73-19\\x=54\\

She bought 54 child tickets and 19 adult tickets.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/3227215
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#LearnwithBrainly

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Answer:

175 meter is  difference in height between the submarine and the aircraft

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