Left side angle = 180-150-12 = 18 degrees
10 / sin 12 = c / sin 18
c = 10 * sin 18 / sin 12
c = 14.9 cm to nearest tenth
Answer:
2520
Step-by-step explanation:
LCM(4, 7, 8, 9, 10, 12) = 2520
Answer:$33.41
Step-by-step explanation:
I converted the percentages to decimals and subtracted them from 1.
(Btw x stands for the cost before tip and tax)
This was the equation I came up with based on what was given to me;
57.29 = (1-0.085)x + (1-0.2)x
57.29=0.915x + 0.8x
57.29=1.715x
Divide both sides by 1.715 and should get 33.40524781
Since we are rounding to the nearest cent, the answer would be $33.41
Using linear function concepts, it is found that:
a) The initial value is of 3 and the rate of change is of 20.
b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.
In this problem, the function that gives the charge C for renting a bicycle for h hours is:

Item a:
Comparing to the standard function, we have that:
- The initial value is of 3 and the rate of change is of 20.
Item b:
The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
You can learn more about linear function concepts at brainly.com/question/24808124
The surface area of the prism is equal to the summed up area of the faces of the triangular prism.
The bases of the prism would be triangles with an unknown base, b, and height of 3. The area of the base is calculated through the equation,
A = bh/2
where b is base and h is height. Substituting the values,
A = b(3)/2
Since there are two bases, the contribution of the triangles for the surface area is,
2A = 3b
Next we calculate for the area of the triangle sides with length equal to b (same as the base of the triangle).
Area = b(12 km)
There are 3 sides such that the total area becomes,
Area = 36b
Hence, the surface area is,
48.735 km² = 3b + (36b)
The value of b from the equation is 1.25 km
<em>ANSWER: 1.25 km</em>