Step-by-step explanation:
sin 46°= a/12.8
a = sin46° * 12.8 = 9.20
cos59°=b/16.8
b = cos59°*16.8 = 8.65
L = the length of the property
W = the width of the property
Area
L * W = 6
but it says," The width of the property is of 3/8 the length he property."
therefore
W = 3%2F8L
or
W = .375L
In the area equation, replace W with .375L
L * .375L = 6
.375L^2 = 6
L^2 = 6%2F.375
L^2 = 16
L = sqrt%2816%29
L = 4 mi is the length
then
.375(4) = 1.5 mi is the width
Area of each of the tiles = (2.5 * 6) inches^2
= 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
= (8 * 12) inches
= 96 inches
Height of the back splash = 2.5 feet
= (2.5 * 12) inches
= 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
= 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
= 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.
9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
Answer:
The answer is 2
Step-by-step explanation:
14 x 2 = 28
14(2) +10 = 38
38 = 38
