Answer:
y = 
Step-by-step explanation:
using the addition formula for sine
sin(x + y) = sinxcosy + cosxsiny
then
sinxcosy + cosxsiny = 
sinx + 
cosx
for the 2 sides to be equal , then
cosy = and siny =
then
y = 
( ) = 
and
y = 
( ) =
thus y =
Answer:The center is (-5,2)
The radius is 5
Step-by-step explanation:
Equation of a circle is:
(x-h)^2+(y-k)^2=r^2
(x+5)^2+(y-2)^2=5^2
Comparing both equations we get :
The center (-5,2)
The radius is 5
Answer:
B) 4.5
Step-by-step explanation:
The area of the first figure is 10x
The area of the second figure is 6(x+3)=6x+18
To solve, find the x that makes 10x=6x+18
1) 10x=6x+18
2) 4x=18
3) x=4.5
To check work)
1) 10(4.5)=6(4.5)+18
2) 45=27+18
3) 45=45
Answer:
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
Step-by-step explanation:
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
To prove this conjecture
unit digit = 6
hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )
Answer:
A) Vertical angles
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1 and 3 and 2 and 4 are vertically opposite angles or vertical angles, so option A is correct.
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<u>hope it helps...</u>
<u>have a great day!!</u>
