The diameter of a circleis 170inches. The circle has two chords of length 26 inches. What is the distance from each chord to the center of the circle?

Hence the Distance from each other chord to center  is 84 inches.

Step-by-step explanation:

Given:

Diameter =170 inches

2 chords with each length =26 inches.

To Find:

Distance of each chord from the circle.

Solution:

Consider a circle with center as O ,

And OA as Radius

(Refer the attachment)

So as chord be BC and DE respectively with each of 26 length

They have both same length so they should located at same distance from center but as mirror images of each other opposite side of the diameter as shown in fig.

Hence we can calculate for one chord as follows:

Radius =diameter/2=170/2=85

r=85 inches.

Let distance from center t o chord be 'x'

Now draw perpendicular to chord BC with F as midpoint for chord and join endpoints  of chord to the center which forms triangle OFC as right angled triangle,

By using pythagorus Theorem

Here OC=85 inches , FC=26/2=13 inches.

So

7056

inches

Hence the Distance from each other chord to center  is 84 inches.

the last choice

step-by-step explanation:

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200