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3 years ago

13

Mr. Stanton bought 121 feet of rope to repair a rope bridge. The ratio of the two pieces that he needs from the length he bought

is 4 to 7. If he uses the entire length of rope, how long is each piece?

2 answers:

elena-s [515]3 years ago

7 0

121 ft total and is split by a ratio of 4:7
4+7=11
121/11 = 11
So on piece is 4(11)=44ft long, and one is 7(11)=77ft long.

Blizzard [7]3 years ago

5 0

44 and 77 .....................

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Mnenie [13.5K]

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3 years ago

BC is tangent to circle A at B and to circle D at C. AB=9, BC=26, and DC=8. Find AD to the nearest tenth.

Ksju [112]

There are two circles with center A and D. The tangent line touches both point B and C. The given measurements are enough to solve for the missing value and the solution is shown below:
AB=9
BC=26
DC=8
Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:
c²=a²+b²
c²=9²+26²
c=AC=27.51
Solve for angle of A
sin A=26/27.51
A=70.93°
Finally, we solve for the length of AD using SOH
sin 70.93°=AD/27.51
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The answer is 26.

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3 years ago