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jonny [76]
2 years ago
6

Points, A, B, and C are collinear True or false

Mathematics
1 answer:
goldenfox [79]2 years ago
3 0
The answer is true!!:)
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Express 8.5454545454... as a rational number, in the form p/q where p and q are positive integers with no common factors.
zzz [600]
x=8.\overline{54}\\
100=854.\overline{54}\\
100x-x=854.\overline{54}-8.\overline{54}\\
99x=846\\
x=\dfrac{846}{99}=\dfrac{94}{11}


5 0
3 years ago
Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
2 years ago
Read 2 more answers
A laptop costs $550. You get a coupon in the mail for 30% off. If you use the coupon, what is the sale price for the laptop?
34kurt
The answer appears to be three hundred eighty five can't wait to get those points! Hope your happy with your answer!
8 0
2 years ago
What does the digit 8 represent in 687, 413?
zvonat [6]

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
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Nike and Kane were born on consecutive years and on same date. Nick is younger. The sum of their age is 11. Find the age of the
klemol [59]
Nick is 5 and Kane is 6.
6 0
3 years ago
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