Answer:
is there a question for this problem if there is try your best
Answer:
9π, or 28.26
Step-by-step explanation:
The Arc of the semicircle is the circumference of half a circle.
The radius of the semicircle is 9, and the circumference of a circle is 2πr, so it is 2π9 = 18π. since this is a semicircle, it is half of that, so 9π, or 28.26, since π is 3.14 here
The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees
<h3>How to determine the central angle?</h3>
The given parameters are:
- Area = 75π cm^2
- Radius, r = 15 cm
The area is calculated using
Area = α/360 * πr^2
So, we have:
α/360 * π * 15^2 = 75π
Evaluate the exponent
α/360 * π * 225 = 75π
Divide both sides by 75π
α/360 * 3 = 1
Multiply
α/120 = 1
Multiply both sides by 120
α = 120
Hence, the measure of the central angle that forms the sector is 120 degrees
Read more about sectors at:
brainly.com/question/10090807
Answer:
30 questions
Step-by-step explanation:
if you cross multiply and divide like this,
27 x 100 = 2700
2700 / 90 = 30
you'll get ; 30 !
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
