Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
Answer:
x=2
Step-by-step explanation:
x+(2x)^2=18
Answer:
area = 8(x + 6)
The distributive property says that the x must be added to the 6 before it is multiplied by the 8
Answer:
t=5.18 minute
Step-by-step explanation:
Using Newton's law of cooling

T is temperature of a cup of coffee at any time t
, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.


To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee


Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.
(See attachment below for the figure)
m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.
Answer:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
Step-by-step explanation:
Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.
Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.
Thus, the three statements that must be TRUE are:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle