Answer:
This answer was provided through an attachment since it basically involves drawing a flow diagram.
Step-by-step explanation:
the question requires that we draw a flow diagram of the time and process of taking an order, making a drink, fixing a sandwich and also making fries.
please check the attachment for the processes #1 and #2.
the net process time minute for process#1
5+12+10 = 27 minutes
the net process time minute for process# 2
5 + 12 + 2 + 7
= 26 minutes
Answer:
-2, -1
Step-by-step explanation:
the x same cause if you reflect across the x-axis so you move on the y-axis. and reflect means the same distance from the point you reflect (that it was 1 cause it was 1 point above the x-axis) just negative so -1 now. if the original point was -2,-1 so the answer was -2,1.
Answer:
c = 9 feet
Step-by-step explanation:
In this situation, one is to find the 'c' : that is, the distance between the vertex and the focus.
Given that, the equation for a vertical parabola:
y = (1/4c)(x-h)^2 + k
Supposing we place our parabola at the center, our equation becomes:
y = (1/4c)x^2
.
The problem gives us a point on the parabola: (12,4)
Then insert it in and solve for 'c':
y = (1/4c)x^2
4 = (1/4c)12^2
4 = (1/4c)144
4 = (1/c)36
4c = 36
c = 36/4
c = 9 feet
Check the picture below.
let's firstly convert the mixed fractions to improper fractions and then subtract.
![\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B42%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B42%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B85%7D%7B2%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B67%5Cfrac%7B3%7D%7B7%7D%7D%5Cimplies%20%5Ccfrac%7B67%5Ccdot%207%2B3%7D%7B7%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B472%7D%7B7%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B472%7D%7B7%7D~~%20-%20~~%5Ccfrac%7B85%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B%282%29472~~%20-%20~~%287%2985%7D%7B%5Cunderset%7B%5Ctextit%7Busing%20this%20LCD%7D%7D%7B14%7D%7D%5Cimplies%20%5Ccfrac%7B944~~%20-%20~~595%7D%7B14%7D%5Cimplies%20%5Ccfrac%7B349%7D%7B14%7D%5Cimplies%2024%5Cfrac%7B13%7D%7B14%7D)
The product of side length and altitude is area. The area remains the same regardless of how you measure it.
From the first side and altitude,
.. area = side*altitude = (4.2 cm)*(3.6 cm) = 15.12 cm^2
From the second side and altitude
.. area = side*altitude
.. 15.12 cm^2 = side*(2.4 cm)
.. side = (15.12 cm^2)/(2.4 cm) = 6.3 cm
The perimeter is the sum of the measures of all sides. Opposite sides are of equal measure.
.. perimeter = 2*(4.2 cm +6.3 cm) = 21.0 cm
