Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
Answer:
20.3 cm. to the nearest tenth.
Step-by-step explanation:
Using the Pythagoras Theorem:
CR^2 = CS^2 + SR^2
= 6^2 + 13^2
= 205
CR = √205 cm.
UR = CR (because they are both radii of the circle).
So UR = √205
and SU =6 + √205
= 20.3 cm to the nearest tenth.
Answer:
y = (x - 3)² + 6
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = x² - 6x + 15
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 15
y = (x - 3)² - 9 + 15
y = (x - 3)² + 6 ← in vertex form
3 units because when you move from point a to point be it’s 3 hops or spaces
Answer:
4712.54
Step-by-step explanation:
His total annual premium 4712.54
. Billy received the deducted by $105.73 paycheck, twice a month throughout the year, so he received 24 deducted paychecks in a year. The sum of all the deducted $105.73 amount throughout the year will be the 35% of Billy's total annual health insurance premium.
To get the amount his employer contribute towards his health insurance on an annual basis, we will have to multiply the sum deducted by twice a month throughout the year in which he received deducted paychecks.
105.73 * 24 = 2537.52
The next step is to divide our answer with 35% of Billy's total annual health insurance premium.
x = 2537.52/.35
x = 7250.06
7250.06 * 0.65 = 4712.54
