Answer:
105 feet.
Step-by-step explanation:
The longer diagonal is opposite the longer angle in the parallelogram.
The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles are supplementary).
So, by the law of cosines:
x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140 where x = the diagonal.
x^2 = 11030.50
x = 105.03 feet.
Answer:
$68.48
Step-by-step explanation:
You want to find cost such that ...
6.25% × cost = $4.28
Dividing by the coefficient of cost, we get ...
cost = $4.28/0.0625 = $68.48
The answer would be 1/3 right?
Your question is incomplete, here is the complete form.
Points J, K and L are collinear with J between L and K. If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8, solve for x:
Answer:
The value of x is -6 ⇒ B
Step-by-step explanation:
∵ J, K, and L are collinear
→ That means they form a straight segment
∵ J is between K and L
→ That means J divides LK into two segments KJ and LJ
∴ LK = KJ + LJ
∵ LK = 9x + 7
∵ KJ = 2x - 3
∵ LJ = 4x - 8
→ Substitute them in the equation above
∴ 9x + 7 = (2x - 3) + (4x - 8)
→ Add the like terms in the right side
∵ 9x + 7 = (2x + 4x) + (-3 - 8)
∴ 9x + 7 = 6x + -11
∴ 9x + 7 = 6x - 11
→ Subtract 7 from both sides
∵ 9x + 7 - 7 = 6x - 11 - 7
∴ 9x = 6x - 18
→ Subtract 6x from both sides
∵ 9x - 6x = 6x - 6x - 18
∴ 3x = -18
→ Divide both sides by 3
∵ 
∴ x = -6
∴ The value of x is -6
Answer: Length of the radius of the sector is 6 units.
Step-by-step explanation:
Since we have given that
Length of an arc = 10.8
Radian of a central angle = 1.8
First we convert radian into degrees,

As we know the formula for "Length of an arc":

Hence, Length of the radius of the sector is 6 units.