Answer:
D.5
Step-by-step explanation:
You can write the following equations from the information given:
y=x+3 (1)
11x+5y=47 (2)
x is the number of hardback books
y is the number of paperback books
You can replace (1) in (2):
11x+5(x+3)=47
11x+5x+15=47
16x=47-15
16x=32
x=32/16
x=2
Then, you can replace the value of x in (1) to find the value of y:
y=2+3
y=5
According to this, the answer is that Jamal bought 5 paperback books.
rate of change is the slope
slope = (y2-y1)/(x2-x1)
m= (180-120)/(3-2)
m = 60/1
m = 60
b. point slope form
y-y1 = m(x-x1)
y-120 = 60 (x-2)
c see attached graph. x>=0 since it is hours
d the y intercept is
y -120 = 60x-120
add 120 to each side
y = 60x
Step-by-step explanation:
125 + 30 + 25 + b is equal to 180 degree 19 + y equal to 180 degree equal to 180 - 190 equal to - -10
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°
