Answer:
1356 cm²
Step-by-step explanation:
Each dimension gets multiplied by 2, so the new dimensions are
changed from 2x8x7 to 6x24x21
There are 6 faces to the prism,
The area of the front and back are 6x21 = 126. There are 2 of them for a total area of 126x2 = 252 cm²
The are of the left and right sides are 24x21 = 504. There are 2 of them for a total area of 504x2 = 1008 cm²
The area of the top and bottom are 6x24 = 144, there are 2 of them for a total area of 144x2 = 288 cm²
The total surface area is 252 + 1008 + 96 = 1356 cm²
Answer:
The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft
Step-by-step explanation:
Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.
We will then find the position to place the plant where the suns rays can get to the base of the plant
Note that the fence is in between the sun and the plant, therefore we have
Height of fence = 5 ft.
Angle of location x from the fence = lowest angle of elevation of the sun, θ
This forms a right angled triangle with the fence as the height and the location of the plant as the base
Therefore, the length of the base is given as
Height × cos θ
= 5 ft × cos 27.5° = 4.435 ft
The plant should be placed at a location x = 4.435 ft from the fence.
Answer:
3 years
Step-by-step explanation:
A=P( 1+rt)
A= Total amount
P= Principal
r = yearly interest
t= time in year
672=600(1+0.04t). Distribute
672=600+600x0.04t
72= 24t
t= 3 years
Answer:
Universal set is a set which contains all values
Union of Sets : The joining of two or more sets .
Step-by-step explanation:
Answer:
x = 18
Step-by-step explanation:
the sum of any exterior angle is equal to the sum of any two interior angles
3x-11 + 5x+14 = 9x-15
8x + 3 = 9x - 15
3 = x - 15
x = 18
