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Sergeu [11.5K]
3 years ago
8

Explain why my calculator gives an error when you enter cos^-1 (5/4)

Mathematics
2 answers:
Gemiola [76]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

To obtain a solution for cos^{-1} (x) , then

- 1 ≤ x ≤ 1

That is the value of x cannot be greater than 1 or less than - 1

here x = \frac{5}{4} = 1.25 which is greater than 1 , thus calculator will return ' error'

Gnoma [55]3 years ago
4 0

Step-by-step explanation:

because the is no answer for that in the calculator

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The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
3 years ago
the length of a rectangle is five times its width. If the perimeter of the rectangle is 120 inch find its area
telo118 [61]
5x+x=120
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4 0
3 years ago
What is the remainder of 10^2017 divided by 1001?
pashok25 [27]
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic

10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)

Final Answer: 10


5 0
4 years ago
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