The number of calories you burn depends on your weight. a 160-pound person burns 237 calories during 30 minutes of tennis. find the number of calories that a 190-pound person would burn during the same activity, assuming they burn calories at the same rate.

A 190-pound person would burn 285 calories at the same rate.

Step-by-step explanation:

Calories burn depends on the weight

Weight of first person = 160

Calories burn for 160 pounds in 30 mins =  237

Calories burn rate for 1 pound in 30 mins = = 1.5

Calories burn for 190 Pound person would be:

Weight of second person = 190

Calories burn for 190 pounds in 30 min:

As the burn rate of calories is same for the two persons:

= rate × weight

= 1.5 * 190

= 285 calories

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step-by-step explanation:

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isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough