Answer:
d < - 7
Step-by-step explanation:
given
42 < - 6d ( divide both sides by - 6 )
Remembering to reverse the inequality symbol as a consequence
- 7 > d ⇒ d < - 7
Answer:
x = 0, π/3, π, 5π/3
Step-by-step explanation:
sec(x)sin(x) - 2sin(x) = 0
factor out sin(x)
sin(x)[sec(x) - 2] = 0
then solve by splitting into two parts:
sin(x) = 0 and sec(x) - 2 = 0
x = 0, π and x = π/3, 5π/3 then plug in to original equation to check
Answer: The side of the square will be 3 cm.
Step-by-step explanation:
When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.
l= 30-2x
b = 14-2x
h= x
Hence, the volume of the cuboid will be ,
V = lbh
= (30-2x)(14-2x)x
Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.
Therefore, 

solving we get, x = 3, x = 
We can omit x =
because 14 - 2x < 0 , which is not possible.
Therefore, x=3.
Answer:
5n-10 < 6n-8
n - is the variable that's stands for the unspecified number
step 1. ten is less than 5 times a number
step 2. LESS THAN SIGN :)
step 3. six times the number decreased by 8
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oh and if you're looking to simplify that problem I believe it would be worked out like this....5n-10<6n-8....subtract 5 from both sides....-10