1A) For the right triangle from the middle of one edge to the center of the base, the side "adjacent" to the angle is (82 m)/2 = 41 m. The height is the side of that triangle that is "opposite" to the angle. You know from your trig definitions that
.. tan(52°) = "opposite"/"adjacent"
.. tan(52°) = height/(41 m)
.. height = (41 m)*tan(52°) ≈ 52 m . . . . . . . 3rd selection
1B) Same deal.
.. tan(52°) = height/(side/2) = 2*height/side
.. side = 2*147 m/tan(52°) ≈ 230 m . . . . . . 4th selection
2) The sine is the ratio of opposite to hypotenuse. Side BC is opposite angle A, and side AB is the hypotenuse
.. sin(A) = (8√3)/16 = (√3)/2
Twenty-six thousand, eight hundred fifty-one and three hundred seven thousandths.
Hope I helped! ( Smiles ) <span />
Answer: 16yards
Step-by-step explanation:
48feet equals how many yards
Remember
1yard equals 3feet
Let the unknown yard be x
1yard equals 3feet
xyard equals 48feet
Cross multiply
3×X=48×1
X=48/3
X=16
Therefore
16yards equals 48feet
The value placed in the box that makes the system of equation with infinitely many solution is 12.
<h3>How to solve an infinitely many solution equation?</h3>
An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.
Hence,
y = -2x + 4
Therefore,
6x + 3y = 12
divide the equation(ii) by 3
2x + y = 4
y = -2x + 4
Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.
learn more on equation here: brainly.com/question/13116557
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