Answer:
Valid
Step-by-step explanation:
3(x-4)=x+4 <em>Given</em>
3x-12=x+4 <em>Distribute</em>
2x=16<em> Subtract x from both sides and add 12 to both sides</em>
x=8 <em>Divide each side by 2.</em>
<em> </em>
<em />
Answer:
the second one
Step-by-step explanation:
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
The formula for the volume of a cube is:
v=s³
Where v=volume and s=the length of a side
Since we know that the length of a side of the gift box is 15cm, we can solve for the volume.
v=15³=3375cm³
Answer: V=3375cm³
