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zhannawk [14.2K]
3 years ago
11

A circular tablecloth has a radius of 3.5 feet. Lyle is sewing a piece of ribbon around the edge of the tablecloth. If Lyle has

exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in feet?
Mathematics
2 answers:
HACTEHA [7]3 years ago
4 0

Answer:

22ft

Step-by-step explanation:

Length or ribbon = Circumference of the circle

C = 2πr

C = 2π(3.5)

C = 21.99

Ksivusya [100]3 years ago
3 0
It is 7 ft, the radius(3.5ft) is just half of the circle and adding them should give you 7ft

3.5+ 3.5= 7ft
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2 years ago
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
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Step-by-step explanation:

<h3>Need to FinD :</h3>

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\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

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Angle sum property,

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\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

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∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

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  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

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