We know, widest angle is always opposite to the largest side of the triangle, as largest side is 50 here (which is backward to house) so largest angle would be opposite to it. So, that corner will be touched by Fence A & B

"Proportionality Theorem" compares the sides of the same triangle
Here, According to that theorem,
ST / RS = UT / PU

If FG is an altitude, then <DFG is an right triangle.
In short, Your Answer would be Option B

For last question here, remember, longest side must be greater than either side, and must be smaller than sum of those smaller sides.

5 0

4 years ago

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The initial price of buzz stock is $20 per share. After 20 days the stock price is $30 per share and after 40 days the price is

Temka [501]

Answer:

$s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20$

Step-by-step explanation:

given,

initial price of buzz stock = $ 20 per share

after 20 days

stock price = $30 per share

after 40 days

the price = $35 per share

let say it is modeled by

y = ax² + b x + c

x = number of days

y = stock price

x = 0 y = 20

20 = a x 0 + b x 0 + c

c = 20

x = 20 y = 30

30 = 20² a + 20 b + 20

400 a + 20 b = 10...........(1)

x = 40 y = 35

35 = 40² a + 40 b + 20

1600 a + 40 b = 15...........(2)

solving equation (1)and (2)

a = - 1/160

b = 5/8

$y = -\dfrac{x^2}{160}+\dfrac{5}{8}x+20$

$s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20$

hence , the above equation is multipart function

5 0

3 years ago