Answer:
there are 7 days in a week x 0.10 cents saved each day on the week = 0.70 cents every week
Step-by-step explanation:
Given : f(x)= 3|x-2| -5
f(x) is translated 3 units down and 4 units to the left
If any function is translated down then we subtract the units at the end
If any function is translated left then we add the units with x inside the absolute sign
f(x)= 3|x-2| -5
f(x) is translated 3 units down
subtract 3 at the end, so f(x) becomes
f(x)= 3|x-2| -5 -3
f(x) is translated 4 units to the left
Add 4 with x inside the absolute sign, f(x) becomes
f(x)= 3|x-2 + 4| -5 -3
We simplify it and replace f(x) by g(x)
g(x) = 3|x + 2| - 8
a= 3, h = -2 , k = -8
Answer:
6√3 = x y =12
Step-by-step explanation:
Since the two sides of the triangles have equal angles then two sides have equal length
the sum of interior angles of triangles is 180° then the last angle is 60°
then the triangles have perfect sides of 12
y = 12
to calculate x
sin Ф = opposite/hypothenus
sin 60° = x/12
sin 60° = √3/2
( √3/2 ) x 12 = x
6√3 = x
Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse =
= 0.54
= 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°
Answer:
Step-by-step explanation:
the greatest common factor of 8,44,12 is 4