Answer:
36 units
Step-by-step explanation:
If half of one of the 6 sections is three the the other half is equivalent so I multiplied 6×6 and it gave me 36 (units).
Answer:
C. $17.00
Step-by-step explanation:
Answer: The height of the tree is 12.57 ft.
Step-by-step explanation:
The height of a thing is proportional to the its shadow.
Let H = Height and S = length of shadow
Then by equation direct proportion ,
(i)
Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft long.
Put
in (i), we get
![\dfrac{H_1}{22}=\dfrac{4}{7}\\\\ H_1=\dfrac{4}{7}\times22\approx12.57](https://tex.z-dn.net/?f=%5Cdfrac%7BH_1%7D%7B22%7D%3D%5Cdfrac%7B4%7D%7B7%7D%5C%5C%5C%5C%20H_1%3D%5Cdfrac%7B4%7D%7B7%7D%5Ctimes22%5Capprox12.57)
Hence, the height of the tree is 12.57 ft.
Expand the EXPRESSION
9x^2+216x+1296
We have these system of inequalities:
![\left \{ {{3x+y>-3} \atop {x+2y](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B3x%2By%3E-3%7D%20%5Catop%20%7Bx%2B2y%3C4%7D%7D%20%5Cright.)
In this way, we have two straight lines that can be solved as follows:
![(1) \ 3x+y=-3 \therefore y=-3x-3 \\ \\ (2) \ x+2y=4 \therefore y=-\frac{x}{2}+2](https://tex.z-dn.net/?f=%281%29%20%5C%203x%2By%3D-3%20%5Ctherefore%20y%3D-3x-3%20%5C%5C%20%5C%5C%20%282%29%20%5C%20x%2B2y%3D4%20%5Ctherefore%20y%3D-%5Cfrac%7Bx%7D%7B2%7D%2B2)
This two lines has been plotted in the Figure below and the region of the inequality is indicated in gray color. Therefore, each point in this region satisfies the system of inequalities. To illustrate this, let's take a point within the gray region, say (0, 0):
![\left \{ {{3x+y>-3} \atop {x+2y-3} \atop {(0)+2(0)-3} \atop {0](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B3x%2By%3E-3%7D%20%5Catop%20%7Bx%2B2y%3C4%7D%7D%20%5Cright.%20%5C%5C%20%5C%5C%20%5Cleft%20%5C%7B%20%7B%7B3%280%29%2B%280%29%3E-3%7D%20%5Catop%20%7B%280%29%2B2%280%29%3C4%7D%7D%20%5Cright.%20%5C%5C%20%5C%5C%20%20%5Cleft%20%5C%7B%20%7B%7B0%3E-3%7D%20%5Catop%20%7B0%3C4%7D%7D%20%5Cright.%20%5C%20True%21)