tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.
so a 57" TV has a 57" diagonal.
Check the picture below.
![\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Blength%7D%7B4%5Cleft%28%20%5Ccfrac%7B57%7D%7B5%7D%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B228%7D%7B5%7D%5Cimplies%2045%5Cfrac%7B3%7D%7B5%7D~%5Chfill%20%5Cstackrel%7Bwidth%7D%7B3%5Cleft%28%20%5Ccfrac%7B57%7D%7B5%7D%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B171%7D%7B5%7D%5Cimplies%2034%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7BArea%7D%7B%5Ccfrac%7B228%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B171%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B38988%7D%7B25%7D%5Cimplies%201559%5Cfrac%7B13%7D%7B25%7D)
Similarity ratio is a ratio of two figures having the same side.
Ratio can be rate but rate can never be ratio. In essence, rate is comparison between ratios. While ratio is comparison between two or more numbers. Further, ratio on one hand, involves numbers either in amount, size, measurement, degrees, percentages or fractions with the absence of specific unit of measurement. On the contrary, rate is comparing quantities, amounts or unit of events happened expressed in a specific measurement or expressed under time. Take for instance, an example, Joe eats 2 while John eats 4 meals in a day. The ratio can be Joe: John, 2:4 meals. While the rate, is Joe eats 2 meals/day and John 4 meals/day.<span>
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Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
Answer:
i)W = 2500 / T
ii) W = 500 Tons
iii) grad W(10°) = - 25î
iv) The formulation is not practical
Step-by-step explanation:
i) Write an equation describing the use of coal
As use of coal is inversely proportional to the average monthly temperature
if W is use of coal in tons/per month then
W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions
k = ?? we know that when T = 25° W = 100 tons the by subtitution
W = k/T 100 = k /25 k = 2500 Tons*degree
Then final equation is:
W = 2500 / T
ii) Find the amount of coal when T = 5 degrees
W = 2500 / 5
W = 500 Tons
iii)
The inverse proportionality implies that W will decrease as T increase.
The vector gradient of W function is:
grad W = DW(t)/dt î
grad W = - 2500/T² î
Wich agrees with the fact that W is decreasing.
And when T = 100°
grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î
iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical
Answer:
12 less than or equal to 2
Step-by-step explanation:
