When he exercises after work,Marcus runs an average mile in 8.3 minutes. At this average, how many miles will he run after 36 mi
1 answer:
Answer:
Marcus will run an average of 4.3 miles after 36 minutes.
Step-by-step explanation:
Given:
Marcus runs an average mile in 8.3 minutes.
1 miles = 8.3 minutes
We need to find miles he ran at same average in 36 minutes.
How many miles = 36 minutes
Using Unitary Method we will find miles he run at 36 mins by multiplying 1 mile with 36 minutes and the dividing it with 8.3 minutes we get;
An Average mile run after 36 min =
Rounding to nearest tenth we get ≈ 4.3 miles.
Hence, Marcus will run an average of 4.3 miles after 36 minutes.
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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.