The perimeter of the pentagon with apothem of 5cm is 28.87cm
<h3>How to calculate the perimeter of a pentagon</h3>
The sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
Learn more on perimeter of pentagon here: brainly.com/question/11484726
Answer:
2x + 4
Step-by-step explanation:
Let R = Ralph's age
and x = Sarah's age
Then Ralph's age in 4 years = R + 4
and Sarah's age in four years = x + 4
Thus, R + 4 = 2(x + 4)
Distribute the 2 R + 4 = 2x + 8
Subtract 4 from each side R = 2x + 4
Ralph's age is 2x + 4.
Step-by-step explanation:
$21=per hour mowling
$17=per hour gardening
only work 16 hours per week
Goals =$275 per week
$275÷16 hours=<u>$</u><u>17.1875</u><u>(</u><u>Each</u><u> </u><u>hour</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>week</u><u>)</u>
<u>mow</u><u> </u><u>lawns</u><u>=</u><u> </u><u>$</u><u>17.1875</u><u> </u><u>×</u><u>$</u><u>12</u><u>=</u><u>$</u><u>206.25</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>gardening</u><u>=</u><u>$</u><u>17.1875 </u><u>×</u><u>$17=$292.1875</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>m</u><u>o</u><u>w</u><u>l</u><u>i</u><u>n</u><u>g</u><u> </u><u>lawns</u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>21</u><u>=</u><u>13.0952380952</u><u>(</u><u>13</u><u> </u><u>hours</u><u>,</u><u>12</u><u> </u><u>minutes</u><u> </u><u>and</u><u> </u><u>30</u><u> </u><u>seconds</u><u>)</u>
<u>Gardening</u><u> </u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>17</u><u>=</u><u> </u><u>$</u><u>16.1764705882</u><u> </u><u>(</u><u>970</u><u> </u><u>hours</u><u>,</u><u>9</u><u> </u><u>minutes</u><u>,</u><u>80</u><u> </u><u>seconds</u><u>)</u>
<u>A</u><u> </u><u>little</u><u> </u><u>help</u><u> </u><u>not</u><u> </u><u>fully</u><u> </u><u>answered</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
PQ = 40 inches
The answer is C
Answer:
Step-by-step explanation: