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Rudiy27
3 years ago
9

Finding missing angles

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

60

Step-by-step explanation:

The length of a straight line is 180

To find x subtract 180 by 120

180-120=60

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The conversion answer is 23325

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It is the first one because if u gain an amount and lose that same amount you don't gain anything.
25-25=0
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). If a, ß are zeroes of the quadratic polynomial p(x)=kx²+4x+4 such
natta225 [31]

Answer:

The values of k are 2/3 and -1

Step-by-step explanation:

Product of zeros = αβ= constant  / coefficient of x^2 =  4/k

Sum of zeros =α+β = - coefficient of x / coefficient of x^2= -4/k

Given

Consider a= α and b= β

(\alpha)^2 + (\beta)^2 = 24

(\alpha)^2 + (\beta)^2 can be written as (\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2 if we add \pm 2 (\alpha)(\beta) in the above equation.

(\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2 -2(\alpha)(\beta)

(\alpha + \beta)^2 -2(\alpha)(\beta)

Putting values of αβ and α+β

(\frac {-4}{k})^2 -2( \frac {4}{k}) = 24\\\frac {16}{k^2} - \frac {8}{k} = 24\\Multiplying\,\, the \,\, equation\,\, with\,\, 8K^2\\ 2 - k= 3K^2\\3k^2-2+k=0\\or\\3k^2+k-2=0\\3k^2+3k-2k-2=0\\3k(k+1)-2(k+1)=0\\(3k-2)(k+1)=0\\3k-2=0 \,\,and\,\, k+1 =0\\k= 2/3 \,\,and\,\, k=-1

The values of k are 2/3 and -1

8 0
3 years ago
Which inequality is represented by the graph?<br><br><br> A. y −3/2x−2<br><br> D. y≤−3/2x−2
Oksi-84 [34.3K]

Answer:

D.)

Step-by-step explanation:

6 0
2 years ago
Please help me , btw it’s study island .
Anni [7]

a. The water in the second tank decreases at a faster rate than the water in the first tank. The initial water level in the first tank is greater than the initial water level in the second tank.

Step-by-step explanation:

Step 1:

It is given that the time remaining in first tank is given by the equation y = -10x + 80. We can get the total water in the tank by substituting x = 0 in the equation. The total volume of water in first tank is 80 litres.

Step 2:

The value of y in the equation y = -10x + 80 will be 0 when the tank is fully empty. When y = 0 , 10x = 80, so x = 8. We can conclude that the first tank empties fully in 8 minutes.

In 8 minutes 80 litres of water is emptied from first tank. So the water in the first tank decreases at  rate of 80 / 8 = 10 litres per minute

Step 3:

As per the given table for the second tank, 60 litres of water remains when x =0. So the total volume of water in the second tank = 60 litres.

Step 4:

As per the given table for the second tank, the volume becomes 0 in 5 minutes. In 5 minutes 60 litres of water is emptied from second tank. So the water in  second tank decreases at rate of 60 / 5 = 12 litres per minute.

Step 5:

The initial volume of water in first tank is higher. The water in  second tank decreases at a faster rate than the first tank.

Step 6:

The only correct option is:

a. The water in  second tank decreases at a faster rate than the water in the first tank. The initial water level in  first tank is greater than the initial water level in the second tank.

5 0
3 years ago
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