Answer:
we should know that :
sin ( a + b ) = sin a * cos b + sin b cos a
For the given equation :
sin (π + q) = sin π * cos q + sin q * cos π
sin π = zero and cos π = -1
∴ sin (π + q) = 0 * cos q + sin q * (-1) = - sin q
<u>Another solution:</u>
The angle (π + q) lies in the third quarter ⇒ (1)
(π + q) and (-q) are supplementary angles ⇒ (2)
From (1) and (2)
sin(π + q) = -sin q
Answer:
We have (2/3)x(1-1/4) - 1/4 = (2/3)x(3/4) -1/4 = 6/12 = 1/4 = 1/2 -1/4 = 2/4 - 1/4 = 1/4 do I bring in between;
Step-by-step explanation:
Answer:
b=9
x=5.5
Step-by-step explanation:
find the common ration
AB is 6, and XY is 3 (they are the corresponding sides)
ratio is 2 to 1 (6/3=2/1)
AC corresponds with YZ
XY is 4.5 so b is 4.5*2=9
ZY corresponds with CB
CB is 11, since XYZ is the smaller divide by 2 instead of multiplying by 2
Answer:
radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here r² = 25 ( take the square root of both sides )
r = 
= 5
which of the following group of numbers are all prime numbers a.2,5,15,19 b.7,17,29,49 c.3,11,23,31 d.2,3,5,9,
antoniya [11.8K]
Prime numbers are those that cannot be divided by another number (other than themselves and 1). In other words, prime numbers have factors of themselves and 1.
For example, 3 is a prime number because its only factors are 3 and 1.
6 is not a prime number because it can be factored to 3*2.
Therefore, the correct answer is c. 3,11,23,31
