Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
2/3+1/3x=2x
2+1x=6x
x-6x=-2
-5x=-2
x=2/5
Answer:
AC = 13.38 miles
BC = 12.65 miles
Where C is the fire location
Step-by-step explanation:
Two fire-lookout stations A and B are 14 miles apart.
The bearing of the fire from station A is Upper N 35 degrees E .
This implies that angle A = 90-35= 55°( reason because B is directly NE of A)
bearing of the fire from station B is N 30 degrees W.
This signifies that angle B is 90-30 =60°
Let's call the fire position C
Angle C = 180-60-55
Angle C= 65°
For Side AC
AB/sin C = AC/sin B
14/sin 65 = AC/sin 60
AC = 13.38 miles
For Side BC
BC/sin A = AB/sin C
BC = sin 55 * (14/sin 65)
BC = 12.65 miles
The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12
<h3>How to determine the range of value of x?</h3>
In the given figure, the side lengths AB and AD are equivalent.
This means that, we have the following angle relationship:
CAD < CAB
Substitute known values
6x - 24 < 48
Add 24 to both sides
6x < 72
Divide both sides by 6
x < 12
Also, we have the following angle relationship:
CAD > 0
Substitute known values
6x - 24 > 0
Add 24 to both sides
6x < 24
Divide both sides by 6
x < 4
This means that:
x < 4 and x < 12
Combine both inequalities
4 < x < 12
Hence, the inequality is 4 < x < 12
Read more about triangles at:
brainly.com/question/21735282
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