Answer:
Step-by-step explanation:
In a right triangle, the side adjacent angle a is 12, the
hypotenuse is 24.
Angle 'a' is 12
hypotenuse is 24
opposite side = 24 times sin(12)=5
adjacent side = 24 times cos(12)=23.5
Answer:
Reflection; Translation; Dilation; Similar
Step-by-step explanation:
Figure 1 is reflected because it is the same thing, just flipped, like a mirror.
Figure 2 is translated because it is the same exact shape, just moved
Figure 3 is dilated because it is the same thing, but shrunken down
Figure 1 is similar because it is not the same exact thing, but just a similar shape of it.
Hope this helps
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
<h3>
How to write a piecewise function?</h3>
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
- c(x) = $3.75*x + $5 if x < 6
- c(x) = $3.25*x + $5 if x ≥ 6.
Where the cost per box changes for x equal or larger than 6.
If you want to learn more about piecewise functions, you can read:
brainly.com/question/3628123
Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4 3 3 2 = 48.