The 38th term in the sequence is -51
Answer:
Step-by-step explanation:
Given that the dresser is in shape of a rectangular prism
Note that, a rectangular prism has a shape of a cuboid
So, area of the rectangular prism is same as area of a cuboid
A = (2LB + 2LH + 2BH)
Where
L is length
B is breadth
H is height
Then, given the dimension of the rectangular prism to be
2ft by 2ft by 6ft
Then, you can assume that,
Length L = 2ft
Breadth B = 2ft
Height H = 6ft.
NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.
Then,
A = (2LB + 2LH + 2BH)
A = (2×2×2 + 2×2×6 + 2×2×6)
A = (8 + 24 + 24)
A = 56 ft²
The total surface area of the dresser is 56ft²
Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.
The answer is 140.
For every 4 toys the price increases by 20. If you divide, we find that every toy is worth 5. For example, if the amount of toys increases by 10, then the cost increases by 50. Since 20 is the closest given example being only 10 toys away, you can just add 50 onto the cost of the toys to get 140.
Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
