Answer:
The answer is (D) ⇒ a = 11.71 , b = 15.56
Step-by-step explanation:
* In ΔABC
∵ m∠A = 45°
∵ m∠B = 110°
∴ m∠C = 180 - 45 - 110 = 25°
By using the sin Rule
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ c = 7
∴ a/sin(45) = b/sin(110) = 7/sin(25)
∴ a = (7 × sin(45)) ÷ sin(25) = 11.71
∴ b = (7 × sin(110)) ÷ sin(25) = 15.56
∴ The answer is (D)
Answer:
We have to find the maximum number of solutions of each of the following system:
1)
Two distinct concentric circles:
Since, distinct concentric circles means that the two circles have same center but different radius.
That means they will never intersect each other at any point.
Ans hence we will get zero solutions.
2)
Two distinct parabolas:
Two parabolas can maximum intersect at 2 points this could be seen by the diagrams.
3)
A line and a circle.
A line and a circle can maximum have 2 solutions.
4)
A parabola and a circle.
It can have maximum two solutions it can be seen from the diagram.
Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
S = 180° ( n - 2 )
The equation for n is:
n = s / 180° + 2
s = 1,260°
n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.