Solve for the value of y. (9y+5)° 58°
1 answer:
The value of in the complementary angles y is 3
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(9y+5)° + 58° are complementary angles, solve for the value of y
Complementary angles add up to 90 degrees. That is the sum of the two given angles must sum up to 90 degrees.
- The first given angle = (9y+5)°
- The second given angle = 58°
- The sum of the two angle = (9y+5)° + 58° = 90°
Simplify the equation as follows to determine the value of y;
9y + 5 + 58 = 90
9y + 63 = 90
9y = 90 - 63
9y = 27
Thus, the value of in the complementary angles y is 3
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Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
. The label "meter" cancels out, leaving us with
cost = $1170.82
