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
Answer: (a,b)= (7.13 ,-8.27)
Step-by-step explanation:
From the data, we have
A-B+3C=0
where, A= (-8.6, 18.0)
B= (12.8, -6.8)
and let C= (a, b)
So, putting values
(-8.6, 18.0) - (12.8, -6.8) + 3(a,b)=0
3(a,b) + (-21.4, 24.8) = 0
3(a,b)= (21.4, -24.8)
(a,b)= (7.13 ,-8.27)
I am reading this correctly, the width = 1/3 of the length?
If this is the case, and we know that the area is 675, the equation is as follows.
Width x Length = 675 ft2
X = length
1/3 X x X = 675 ft2
To solve for X we have to multiply both sides by 3.
X square 2 = 2601 square feet.
Take the square of each side.
X = 225 sqare feet.
I hope this helps, let me know if you have any questions.
BBB because it has commas after the right units
