Answer:
6.48
Step-by-step explanation:
The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
Answer:
$15.02
Step-by-step explanation:
Given data
Total cost= $16
tax= 6.5%
let the actual cost of the slippers be x
6.5/100*x+ x= 16
0.065x+x= 16
1.065x= 16
divide both sides by 1.065
x= 16/1.065
x= 15.02
Hence the actual cost of the slippers is $15.02
The equation of a parabola is:
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
The answer is B. (2x + 5)(x + 1)You could answer this by expanding each answer until you found one that matched 2x^2 + 7x + 5, but I will only show how the answer expands:
2x × x = 2x^2
5 × x = 5x
2x × 1 = 2x
5 × 1 = 5
So in total those brackets expand to 2x^2 + 7x + 5. I hope this helps!