Answer:
4 2/3
Step-by-step explanation:
4(2x -3) + 8(x - 4) = 2(2x + 6)
Distribute
8x -12 + 8x -32 = 4x +12
Combine like terms
16x - 44 = 4x+12
Subtract 4x from each side
16x-4x-44 =4x-4x+12
12x-44 = 12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14 / 3
Changing to a mixed number
x = 4 2/3
Answer:
the sum of interior angles of a 14 sided shape be 2160
Answer:
The value of your equation would be 371/30
Step-by-step explanation:
Given tanθ=8/15 - -(1)
sec^2θ
= 1+tan^2θ
= 1+(8/15)^2
= 1+64/225
= 225+64/225
= 289/225
=17^2+15^2
Now, secθ =
= 17/15
Cosθ = 15/17 - -(2)
Value of sinθ+cosθ/cosθ(1-cosθ)
Dividing numerator and denominator by cosθ, we get
= sinθ+cosθ/cosθ/cosθ(1-cosθ)/cosθ
= (sinθ/cosθ+cosθ/cosθ)/(1-cosθ)
= tanθ - 1/1-cosθ
= 8/15 + 1/1-15/17
= 8+15/15/17-15/17
= 23/15/2/17
= 23/15 x 17/2
= 371/30
Hope this helps!
Answer:5053.71
Step-by-step explanation:
Let w = width of the rectangle
<span>4w+7 = length of the rectangle </span>
<span>perimeter = 2 lengths + 2 widths </span>
<span>2w + 2(4w+7) = 54 </span>
<span>2w + 8w + 14 = 54 </span>
<span>10w = 40 </span>
<span>w = 4 </span>
<span>4w+7 = 23 </span>
<span>dimensions of rectangle: </span>
<span>width = 4 </span>
<span>length = 23 hope this helps</span>