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Tom [10]
2 years ago
7

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!

Mathematics
1 answer:
Advocard [28]2 years ago
3 0
SinA = O/H

= 8<span>√3  / 16
=</span>√3 / 2

answer is B √3 / 2
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X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
The quotient of m and 7.
Firdavs [7]
M/7 would be the correct answer
6 0
2 years ago
Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter IMPOSSIBLE.)
kotegsom [21]

\sin(t) =  \frac{1}{2} &#10;\\&#10;\\ \cos(t) = - \frac{ \sqrt{3} }{2} &#10;\\&#10;\\ \tan(t) =  \frac{\sin(t)}{\cos(t)}= - \frac{1}{ \sqrt{3} } &#10;\\&#10;\\ \csc(t) =  \frac{1}{\sin(t)}= 2 &#10;\\&#10;\\ \sec(t) =\frac{1}{\cos(t)}=- \frac{2}{ \sqrt{3}}  &#10;\\&#10;\\ \cot(t) = \frac{1}{\tan(t)}=- \sqrt{3}

3 0
3 years ago
Seventy percent of the engines manufactured on an assembly line are defective. Suppose engines are randomly selected one at a ti
strojnjashka [21]

Answer:

0.7

Step-by-step explanation:

Probability of defective = 0.7

P(non-defective) = 1 - 0.7 = 0.3

Let X be the trial at which we get the first non-defective

Then X follows a geometric distribution.

X ~ Geo (0.3)

What has happened already will not affect the probability.

P(atleast 2 more) = P(X > 1)

= 1 - P(X = 1)

= 1 - (0.3)

= 0.7

8 0
3 years ago
How much money should be invested in an account that earns 3% interest, compounded monthly, n=12, in order to have $14,000 in 4
melisa1 [442]

Answer:

D ko alam HAHAHAHA bahala kang bobo ka HAHAHAHAHAHAHA

Step-by-step explanation:

Tanong mo kay ser kung anong sagot potanginamo ka

5 0
2 years ago
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