In right triangle LMN, L and M are complementary angles and sin(L) is 19/20. What is cos(M)?A.19/20
B.1/20
C.(square root of 39)/19
D.(square root of 39)/20

Answers

Answer 1

Answer: I believe the correct answer from the choices listed above is option A. In right triangle LMN, L and M are complementary angles and sin(L) is 19/20. Therefore, cosine of M would be 19/20 as well. It would be helpful if you draw a figure of the problem. Hope this answers the question.

Answer 2

Answer:

19/20

Step-by-step explanation:

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Jayla ran the first 3 miles of a 5-mile race in hour. What was her average rate, in miles per hour, for this first part of the race?.

Answers

Answer:

3 miles per hour

Step-by-step explanation:

We know

Jayla ran the first 3 miles of a 5-mile race in an hour.

What was her average rate, in miles per hour, for this first part of the race?

Average rate = Distance / Time

We take

3 ÷ 1 = 3 miles per hour

So, the answer is 3 miles per hour.

Is 3 times ( pie to the 49) irrational

Answers

Yes. Any number that has pi in it (when it's simplified) is irrational.

Whats 4 plus 8???????

Answers

Answer:

Step-by-step explanation:

4+8=12

Your answer should be 12

Round 9,877 million to 1 significant figure

Answers

Answer:

10,000

Step-by-step explanation:

Answer:

10,000,000,000

Step-by-step explanation:

9877 million in number is 9,877,000,000

Round to one significant way means to round in such a way that you are left with only one non-zero digit.

Rounded to one significant figure:

10,000,000,000

Hope this helps

Good Luck

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius?a. (-7, -1), 36 units
b. (7, 1), 36 units
c. (7, 1), 6 units
d. (-7, -1), 6 units

Answers

Answer:

option d is correct.

center = (-7, -1)

r = 6

Step-by-step explanation:

The general equation of the circle is given by;

$(x-h)^2+(y-k)^2 = r^2$

where;

(h, k) is the center of the circle

r is the radius of the circle respectively.

As per the statement:

A circle is described by the equation $x^2 + y^2 + 14x + 2y + 14 = 0$

then;

$(x^2+14x)+(y^2 + 2y) + 14 = 0$

Using the completing the square:

$(x^2+14x+7^2-7^2)+(y^2 + 2y+1^2-1^2) + 14 = 0$

⇒ $(x+7)^2 - 49 + (y+1)^2 - 1 + 14 = 0$

⇒ $(x+7)^2+(y+1)^2 -36 = 0$

Add 36 to both sides we have;

$(x+7)^2+(y+1)^2=36$

On comparing with the general equation of circle:

we get;

h = -7 , k = -1 and $r^2 = 36$

⇒ $r = 6$

Therefore, the coordinate of the center of the circle is (-7, -1) and length of the radius of the circle is 6

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$x^2+y^2+14x+2y+14=0 \nx^2+14x+49+y^2+2y+1+14-49-1=0 \n(x+7)^2+(y+1)^2+14-49-1=0 \n(x+7)^2+(y+1)^2-36=0 \n(x+7)^2+(y+1)^2=36 \n(x-(-7))^2+(y-(-1))^2=6^2 \n \Downarrow \nh=-7 \nk=-1 \nr=6$

The center is (-7,-1), the length of the radius is 6 units.
The answer is D.

{–½, 2}{–½, –2}
{½, 2}
{½, –2} Use the quadratic formula to solve 2y2 – 5y = –2.

Answers

$2y^2 - 5y =-2\n \n2y^2 - 5y +2=0\n \n a=2 , \ b=-5, \ c=2 \n \n\Delta =b^2-4ac = (-5)^2 -4\cdot2\cdot 2 = 25-16=9 \n \ny_(1)=(-b-√(\Delta) )/(2a)=(5-√(9))/(2\cdot 2 )=(5-3)/(4)=(2)/(4)= (1)/(2)$

$y_(2)=(-b+√(\Delta) )/(2a)=(5+√(9))/(2\cdot 2 )=(5+3)/(4)=(8)/(4)= 2\n \nAnswer : \ \left \{ (1)/(2),2 \right \}$

Answer:

1/2, 2

Step-by-step explanation:

i took the test

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