96 ---> 100%
60 ----> x
x=(60*100%)/96=62.5%
Answer:
cos(x)=0.6
Step-by-step explanation:
cos(x) represents the horizontal distance of the unit vector
sin(x) represents the vertical distance of the unit vector (0.8)
tan(x) represents the distance on the tangent line from the point to the x-axis
cot(x) represents the distance on the tangent line from the point to the y=axis
Answer:
Option C.
Step-by-step explanation:
The given given sequence is
1, –3, 2, 5, –4, –6
We need to find the pairs of consecutive terms of the sequence and their product.
Pairs of consecutive terms | Product
1, -3 -3
-3, 2 -6
2, 5 10
5, -4 -20
-4, -6 24
Here the product of three pairs of consecutive terms is negative.
The number of variations in sign for the sequence is 3. Therefore, the correct option is C.
Answer:
first angle be 30°
second angle be 70°
third angle be 80°
Step-by-step explanation:
first angle be x
second angle be y
third angle be z
x+y+z=180
given, y+z = 5x; z=5x-y
also, z=y+10
5x-y = y+10
5x= 10+y+y = 10+2y
x= (10+2y)/5
x+y+z=180
(10+2y)/5 + y + y+10 = 180
(10+2y)/5 = 180 -2y -10
(10+2y)/5 = 170-2y
multiply both sides by 5
10+2y = 5(170-2y)
10+2y= 850-10y
2y+10y = 850-10
12y= 840
y= 840/12 = 70°
z=y+10 =70+10= 80°
5x= (10+2y) = 10+2(70) = 10+140= 150
x = 150/5 = 30°
0 5
4 2
= (0 x 2) - (5 x 4) = -20
