Jack ran 4 kilometers each day for 3 days. How many meters did jack run in 3 days?
2 answers:
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Pls. see attachment.
We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
To solve for x you have to bring the 12 to the other side
How do we do this?
Well if you think about it this is technically what the equation shows
This means to isolate x you can multiply both sides by 12 and that will cancel from the right side
can be further simplified to...
9
^^^This is the answer
Check:
3/4 = 9/12
3/4 = 3/4
Hope this helped!
~Just a girl in love with Shawn Mendes