Answer:
8, 40 , 50
Step-by-step explanation:
the measure of A is 90°
so 5x + 7x - 6 = 90
now.. to find the x
5x + 7x - 6 = 90
5x + 7x = 90 + 6
12x = 96
x = 96/12
x = 8
so the measure of angle A1 is (5*8) = 40
the measure of angle A2 is (7*8-6) = 50
finaly the angle A is (50+40) = 90
Anything between the decimal and last non-zero digit
so 00025 are significant
the 0 in front is insignificant because it could be
00000.00025
zeroes after the 25 don't matter becasue it could be
0.000250000000 and it wouldn't change
the sig figs are 00025
Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre
= 150
- The initial number of trees per acre
= 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)
(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre
=
= 200
the yield will decrease by :
- 

⇒total yield = 
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield = 
this is a quadratic equation. this can be rewritten as ,
⇒ 
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>
Answer:
The width must be greater than 3 meters.
Step-by-step explanation:
Let w represent the width. Then 5w will represent the length, which is 5 times the width. The perimeter is the total of the side lengths of the rectangle, so is ...
P = 2w + 2(5w) = 12w
We want this to be greater than 36 m, so ...
P > 36 m
12w > 36 m . . . . . . . substitute our expression for P
w > 3 m . . . . . . . . . . divide by 12
The possible values for width are those values that are more than 3 meters.