F(1)= 6(1)-5 = 1
The answer is 1
Answer:
<B = 47°
<C = 28°
b = AC = 28.0
Step-by-step explanation:
Given:
∆ABC
AB = c = 18
BC = a = 37
<A = 105°
Required:
Length of AC = b
measure of angle B and angle C
SOLUTION:
==>Use the sine rule, sin A/a = sinC/c to find the angle of C:
SinA = sin(105) = 0.9659
a = 37
sinC = ?
c = 18
0.9659/37 = sinC/18
Cross multiply
0.9659*18 = 37*sinC
17.3862 = 37*sinC
Divide both sides by 37
17.3862/37 = sinC
0.4699 = sinC
sinC = 0.4699
C = Sin-¹(0.4699)
C = 28.0° (nearest tenth)
==>Find angle B using sum of angles in a triangle:
Angle B = 180 - (105+28)
Angle B = 180 - 133
Angle B = 47°
==>Find length of b using sine rule, b/sinB = c/sinC:
SinC = sin(28) = 0.4695
SinB = sin(47) = 0.7314
c = 18
b = ?
b/0.7314 = 18/0.4695
Cross multiply
b*0.4695 = 18*0.7314
b*0.4695 = 13.1652
Divide both sides by 0.4695
b = 13.1652/0.4695
b = 28.0 (nearest tenth)
The inverse of the function is f(x) =
+ 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) =
----> Switch f(x) and x
x =
----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) =
+ 8
Answer:
C. 50
Step-by-step explanation:
The triangles are proportional and that is why you can find the scale factor. Set up a proportion (equivalent fractions). Set the proportion up with the corresponding sides together on thee top or the bottom of the proportion.
<u>65 </u> = <u> 91</u>
x 70
91x = 65 * 70
<u>91x</u> = <u>4550</u>
91 91
x = 50
Amount decrease = 380 - 225 = 155
percent = 115/380 * 100 = 40.8 %