Find out X
Answer:
x = 6/9
Step-by-step explanation:
9x - 2(x+8) = 5x - 11(2-x)
9x - 2x - 16 = 5x -22 + 11x
collect the like terms
7x - 16 = 5x -22 + 11x
7x-5x = -22 +16 + 11x
2x = -6 + 11x
6 = 11x - 2x
6 = 9x
divide both sides by 9
6/9 = x
Answer:
Step-by-step explanation:
we know that
The perimeter of the hexagon is equal to
Remember that
----> is the length base of an isosceles triangle
so
The perimeter is equal to
Find the length side BC
Let
x ----> the measure of the vertex angle in the isosceles triangle
The measure of the vertex angle in the isosceles triangle is equal to
Applying trigonometric property
In the right triangle of the attached figure
----> by CAH (adjacent side divided buy the hypotenuse
Remember that
substitute
Find the perimeter
Answer: The other angle measures 28 degrees.
Step-by-step explanation: The sum of complementary angles is 90 degrees.
Answer:
6 1/2 feet
Step-by-step explanation:
There are 12 inches in 1 foot.
Divide 78 inches with 12 inches to get the amount of foot 78 inches equals to.
78/12 = 6.5
6 1/2 feet is your answer
~
There are 6.5 feet in 78 inches. Hope this helps.
Answer:
1) option c
2) option d
3) option a
4) option a
5) option c
Step-by-step explanation:
1. Given that in ΔRST, ∠R=63°, ∠T=90° and so ∠S=27°
Also, cosec=hyotenuse/opposite side
Given RS=23 and ST=10.4
So, cosec27=RS/RT=23/RT
sec=hypotenuse/adjacent side
sec27=RS/ST=23/10.4
And cot=adjacent/opposite side
So, cot63=RT/ST=RT/10.4
2. formula:- sinθ=opposite side/hypotenuse
cosecθ=hypotenuse/opposite side
∴ sinθ *cosecθ = (opposite side/hypotenuse) * (hypotenuse/opposite side) = 1
3. Formula :- tan(360-θ) = -tanθ
∴ tan(300) = tan(360-60) = -tan30°
tan30° = √3
∴tan300° = -√3
4.
5. sinθ= opposite side/hypotenuse
cosecθ = hypotenuse/opposite side
∴ cosecθ = 1/sinθ
Given sinθ = 0.3090
∴ cosecθ = 1/0.3090 = 3.2362