3^4 + 3 ⋅ 5 = ____. (Input whole numbers only.)
2 answers:
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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.
Youssef lives 15 blocks away from his work
<em><u>Solution:</u></em>
Given that Youssef can either way from his home to his workplace or ride his bicycle
Let "x" be number of blocks away from work Youssef works
<u><em>Case 1: walking</em></u>
He walks at a pace of 1 block per min
Therefore,
1 block = 1 minute
Thus to cross "x" blocks he takes "x" minutes
<em><u>Case 2: Bicycle</u></em>
He can travel 1 block in 20 sec on his bicycle
We know that,
To convert seconds to minute, divide the time value by 60
Thus he takes 1/3 minutes for 1 block
So to cross "x" blocks he will take minutes
Given that it takes youssef 10 min longer to walk to work than to ride his bike
This means difference between time taken to cross "x" blocks by walking and ride by bicycle is 10 minutes
Thus he lives 15 blocks away from his work