Answer:
First box = 22.5, 45/2, or 22 and 1/2
Second box = square inches (because area is always ^2, or squared)
Step-by-step explanation:
A = B * H
B = base
H = height
Base = 5 inches
Height = 4.5 inches
5 inches * 4.5 inches = 22.5 inches^2
This can also be written as 45/2 or 22 and 1/2
I hope I helped!
Let me know if you need anything else!
~ Zoe
I think it is (10,-7) but lmk otherwise
Answer:
Undefined slope.
Step-by-step explanation:
The formula should be y2 - y1 over x2 - x1
Points ( 20,-16 ) and ( 19, -16 )
So ( -16 - ( -16 ) ) over ( 19 - 20 )
0 over -1
The slope is 0. Undefined.
Answer:
The manual cost that will take to recreate by the firm is $ 90.51
Step-by-step explanation:
Given:
Number of words the manual contains= 16000
Number of words typed by a clerk in one hour and 20 minutes = 4160
To Find:
The total cost for recreating the manual = ?
Solution:
Step 1: Finding the Number of hours is need to type 4160 words :
= 
hours
hours
hours
So it takes 
hours to type 4160 word
Step 2 : Finding the Number of hours is needed to type 1 word
= 
=
= 3120 words per hour
Step 3 : Finding the Number of hours is needed to type 16000 words
=
Substituting the values
= 
= 5.1282 hours
Step 4 : Finding the cost for recreating the manual.
= number of hours x cost per hour
= 5.1282 x $17.65
= 90.51
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
