Answer:
1.5m
Step-by-step explanation:
Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.
The new area thus becomes:
(12+2x)(16+2x) = 285
24x + 32x + 192 + 4x^2 = 285
4x^2 + 56x + 192 = 285
4x^2 + 56x + 192 - 285 =0
4x^2 + 56x -93 = 0
4x^2 + 62x - 6x - 93 = 0
2x( 2x + 31) - 3(2x + 31) = 0
(2x - 3)(2x + 31) = 0
This means x = 3/2 or -31/2
Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters
Answer:
x ≈ 52.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x =
=
, then
x =
(
) ≈ 52.6° ( to the nearest tenth )
Answer:
Answer:
WF=34
Step-by-step explanation:
Point I lies between points W and F.
It means point WI + IF = WF
SO WI + IF = WF
=
WF = 15x – 21
WI= 7x-3
IF= 2x+4
WI + IF = WF
7x-3 +2x+4= 15X-21
7x+2x-15x= -21-4+3
-6x = -22
X= -22/6
X= 11/3
So WF = 15x – 21
WI= 7x-3
IF= 2x+4
WI + IF = WF
=
7X-3 +2x+4= 15x-21
7x+2x-15x= -21-4+3
-6x = -22
X= -22/6
X= 11/3
So WF = 15x – 21
WF= 15(11/3) -21
WF= 55-21
WF=34
1 hour because you are traveling 80 miles per hour.
Answer:
The equal amount is 525
.
Step-by-step explanation:
Given that,
Eric and his two sister shared amount of money in ratio2:7 respectively.
Amount with Eric = 300
It means,
2x = 300
x = 150
So,
7x = 7(150)
= 1050
As the remaining amount shared equally among the sister. So, the equal amount is 525
.