A regular pentagon is shown. What is the measure of the radius, c, rounded to the nearest hundredth? Use an appropriate trigonom
etric ratio to solve.
2 answers:
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Answer:
Step-by-step explanation:
This is classic right triangle trig. The height of the hill is 78.4 which serves as the side opposite the reference angle of 23 degrees. The side we are looking for is the hypotenuse of that triangle. The trig ratio that relates the side opposite a reference angle to the hypotenuse of the right triangle is the sin ratio. Setting it up using our values:
, where x is the unknown length of the hypotenuse. Solving for x:
Make sure your calculator is in degree mode before entering this in. You will get a length of the hypotenuse as 200.649 feet, so choice A.
Answer:
option A, option C, option D
Step-by-step explanation:
a) 1 ÷ m/6
can be written as
÷
b) sides in (m/6) will change if both has to multiply
c) 1 ÷ m/6
can be written as
1 * 6/m
1() and wont make change to answer. so matches with the question.
d)
1 ÷ m/6
1 * 6/m
1 * 6 *
6 *
6 ÷ m ..therefore true
e)
1 ÷ m/6
1 * 6/m
6/m ....does not match or can be converted to the following so wrong
- Therefore A, C, D are correct and B and E is wrong.
Here is the equation:
Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.
First multiply 3x by 4:
Now multiply 2 by 4:
Now add them together:
Your answer is <u>12x + 8</u>