I think it is c but that is just an educated guess.
16 sq ft = 2 ft x 8 ft
4 ft x 4 ft
but..
4 ft x 4 ft x 4 ft = 64 cubic ft
So 4 cannot be the height of this crate.
h represents the height of the crate (defined variable)
2 ft x 8 ft x h = 48 cubic ft
16h = 48
h = 3 ft
The height of the crate is 3 feet.
Check:
2 ft x 8 ft x 3 ft = 48 ft ³
Answer:
Step-by-step explanation:
Keep in mind that the tangent function is negative in Quadrants II and IV.
Of the three possible answers, the 2nd is invalid because the tangent is positive in Q III.
If the reference angle were in Quadrant II and had the value 30° (second possible answer), then the opposite side would be +1, the adjacent side -√3 and the hypotenuse 2. Based on this, the tangent of theta would be opp / adj, or +1 / (-√3) or -√3/3. This is correct.
Answer:
Susy had 60 in the biggening
Step-by-step explanation:
First:
Susy:Mary=2:3
Next:
Susy:Mary=3.5:1.5=7:3
7=210,1=30
Susy had 60 in the biggening
<span>Combine the logarithms first: log5(4x+3)-log5(x-1). Since it's subtract, divide the two.
log5((4x+3)/(x-1))=2
Make both sides the exponent of five. 5^log5 cancels out.
5^(log5(4x+3/x-1))=5^2
4x+3/x-1=25
Multiply both sides by (x-1) to get rid of it under 4x+3.
(x-1)4x+3/x-1=25(x-1)
4x+3=25x-25
Now subtract 4x from both sides AND add 25 to both sides. This way you'll have all the x's by itself.
28=21x
Divide both sides by 21.
28/21=x
x=1.33333333333...
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