Answer:
x=1
Step-by-step explanation:
x+3x+5x+7x+...+49x=625
(1+3+5+7+...+49)x=625 (1)
now consider s= 1+3+5+7+...+49
a=1
d=3-1=2
l=49
l=a+(n-1)d
49=1+(n-1)2
49-1=(n-1)2
48/2=n-1
n-1=24
n=24+1=25
s=n/2*(a+l)
s=25/2(1+49)
x=25/2×50
s=25×25=625
from (1)
625 x=625
x=625/625=1
Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
Answer:
A
Step-by-step explanation:
4x +3y = 7.43
5x +2y = 7.03
8x +6y = 14.86
-15x -6y = -21.09
-7x = -6.23
x = 0.89
The answer is A
180/60=3
42/3 is 14
so 14 km per hour is your answer
A linear function forms a line when graphed.