Answer:
• 9(sin 42°)
_______
sin 29°
Step-by-step explanation:
we know that
Applying the law of sines
To create a survey and hand them out to different students
Answer: C
Step-by-step explanation:
The area of regular polygon with 5 sides is 689.65m²
<u>Explanation:</u>
All sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:
where
s is the length of any side
n is the number of sides
tan is the tangent function calculated in degrees
Let the number of side of a polygon be 5. So, putting the values in equation
Therefore, the area of regular polygon with 5 sides is 689.65m²
Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation: