The number of situps form an AP with first term (a) = 17 and common difference (d) = 4
Tn = a + (n - 1)d
T12 = 17 + (12 - 1) x 4 = 17 + 11(4) = 17 + 44 = 61
Therefore, she will do 61 situps on day 12.
y+43°= 180°( straight angle)
=>y= 180°-43°
=>y=137°
9514 1404 393
Answer:
56 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.
sin(30°) = (28 ft)/hypotenuse
hypotenuse = (28 ft)/sin(30°) = 56 ft
The length of the escalator is 56 feet.
Answer:
y = 1/2x - 14
Step-by-step explanation:
Parallel lines have the same gradient
So,
gradient for second line = gradient of the first line = 1/2
Also,
the line passes through (-6,-17)
So, we can find the y-intercept by substitution
y = mx + c
-17 = (1/2 * -6) + c
-17 = -3 + c
c = -14
So,
the equation is y = 1/2x - 14