Answer:
complementary
Step-by-step explanation:
The total angle is a right angle. Complementary angles are angles that add up to 90 degrees. Right angles are 90 degrees so the answer is complementary.
Answer:
x = 7
3x + 11 = 32
8x + 2 = 58
Step-by-step explanation:
3x + 11 + 8x + 2 = 90
11x + 13 = 90
11x = 77
x = 7
3x + 11 = 3(7) + 11 = 32
8x + 2 = 8(7) + 2 = 58
A slope of any line parallel to y = x + 2 will be 1.
The slope of parallel lines are always equal. Since we do not see a number next to the x in the original equation, there is an assumed 1 there. Therefore any line that is parallel with it would also have to be 1.
Answer:
hello : x = (ln(20))/3
Step-by-step explanation:
4 + e3x = 24?
e3x = 24 - 4
e3x = 20
3x = ln(20)
x = (ln(20))/3
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
