Join the centre O to the chord (let it be MN) & let OH be the perpendicular to the chord

OH bisects MN into 2 equal parts (each one is x/2)
OMH is a right triangle with one side =8, the second leg =x/2 & the hypotenuse = 12 (Radius)
Apply Pythagoras:

12² = 8² +(x/2)² ==>144=64 + x²/4 ==> x²=4(144-64) =320

x²=320==> x=√320 =17.88 ≈17.9

3 0

4 years ago

Hello,<br> umI need help with this math problem.

ahrayia [7]

Answer:

c is answer.....................

8 0

3 years ago

Even would be helpful if you just gave me the equation to solve it and I can do the rest. mart had a sale for labor day on DVD's

erastova [34]

x - price of a video tape

y - price of a DVD

$\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}$

<h3>Answer: video tape cost $19 and DVD cost $32.</h3>

6 0

3 years ago