Answer:
<h2>20</h2>
Step-by-step explanation:
<u>Answer</u>
748.23 in²
<u>Explanation</u>
Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.
The base of the hexagon = 101.8 ÷ 6
= 19.96666..
= 19.9667 inches
Area of the hexagon = 1/2 × height × base length × 6
= 1/2 × 14.7 × 19.9667 × 6
= 748.23 in²
Answer:
Option d
Step-by-step explanation:
-5(8x)
= -5×8×x
= -40x
Answered by GAUTHMATH
Answer:
They will be 170 miles apart at 10 AM
Step-by-step explanation:
Nancy has 15´ of head start which is 1/4 hr.
NHD = 20*(1/4) = 5 miles is her head start
Mark leaves at 7.15hs = starting point
Marks stop at when they are 170 miles apart = t
------------------------------
t = the time they are 170 miles apart
d= distance in miles Nancy travels in time t
170 - (d+5) = distance in miles Mark travels in time t
------------------------------
Nancy's equation:
(1) d = 20t
Mark's equation:
(2) 170 - (d+5) = 40t
---------------------------
(2) 170-d-5=40t
(2) d+40t=165
Substitute (1) into (2)
(2) 20t+40t=165
(2) 60t=165
(2) t=2.75
7:15 AM + 2.75 hrs (2:45hs) = 10 AM
They are 170 miles apart at 10 AM
check:
(1) d=20t
(1) d=20*2.75
(1) d=
55
---------------
(2) 170 - (d+5) = 40t
(2) 170 - (d+5) = 40*2.75
(2) 170 - d-5 = 110
(2) d=55
Answer:
It will take Jack 74 minutes(1 hour and 14 minutes) to complete the task
Step-by-step explanation:
From the question, we know that he has 1000 envelopes to stuff.
Now, he has already stuffed 112 out of the 1000. Number of envelopes left to be stuffed will be 1000 -112 = 888 envelops
We were told that it takes him 1 minute to stuff 12 envelopes.
Let the time it will take him to stuff 888 envelopes be x minutes;
Let’s have a relationship here;
12 envelopes = 1 minute
888 envelopes = x minutes
12 * x = 888 * 1
12x = 888
x = 888/12
x = 74 minutes
