3x=78+x-2 is the answer. Good luck on your homework!
The perimeter of the triangular end is 12 m, so the total rectangular area is
.. (12 m)*(8 m) = 96 m^2
There are two triangles with base 3 m and height 4 m, so their total area is
.. (3 m)*(4 m) = 12 m^2
The surface area of the figure is the sum of these
.. 96 m^2 +12 m^2 = 108 m^2
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
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In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
$23.88
Step-by-step explanation:
Represent the original price by p.
The sale price is (100% - 60%), or 40%, of p:
$9.55 = 0.40p
Dividing both sides by 0.40 results in:
p = $23.88 (rounded up from $23.875).
Answer:
x =7 x = -7 2/3
Step-by-step explanation:
| 3x + 1 | =22
Absolute value equations have 2 solutions, one positive and one negative
3x+1 = 22 3x+1 = -22
Subtract 1 from each side
3x+1-1 =22-1 3x+1-1 = -22-1
3x= 21 3x = -23
Divide each side by 3
3x/3 = 21/3 3x/3 = -23/3
x =7 x = -7 2/3
