Due circonferenze sono tangenti esterna- mente e la distanza tra i loro centri è 40 cm . Se la lunghezza di una delle due circonfe- renze è \( 32 \pi \mathrm{~cm} \), quanto è lunga l'altra cir- conferenza? [ \( 48 \pi \mathrm{~cm} \) ]

Score: \( 2 / 3 \) Penalty: none Question In \( \Delta \mathrm{HIJ}, h=50 \mathrm{~cm}, i=95 \mathrm{~cm} \) and \( j=86 \mathrm{~cm} \). Find the measure of \( \angle \mathrm{J} \) to the nearest 10 th of a degree. Answer Attempt 1 out of 2

In \( \triangle \mathrm{UVW}, u=76 \) inches, \( v=27 \) inches and \( w=83 \) inches. Find the measure of \( \angle \mathrm{U} \) to the nearest 1oth of a degree.

In \( \triangle \mathrm{TUV}, u=750 \mathrm{~cm}, v=670 \mathrm{~cm} \) and \( \angle \mathrm{T}=160^{\circ} \). Find the length of \( t \), to the nearest centimeter.

Determine the standard equation of the ellipse using the stated information. Vertices of the major axis at \( (-1,9) \) and \( (-1,-11) \); length of the minor axis is 10 units. The standard equation of the ellipse is (Simplify your answer. Use integers or fractions for any numbers in the equation.)

\( \left. \begin{array} { l } { \frac { ( 1 - h ) ^ { 2 } } { a ^ { 2 } } + \frac { ( y - k ) ^ { 2 } } { b ^ { 2 } } = 1 } \\ { \frac { h ^ { 2 } } { a ^ { 2 } } + \frac { [ ( 3 - \frac { \pi } { 2 } ) - k ] ^ { 2 } } { b ^ { 2 } } = 1 } \\ { \frac { ( - 1 - h ) ^ { 2 } } { a ^ { 2 } } + \frac { ( 1 - k ) ^ { 2 } } { b ^ { 2 } } = 1 } \\ { \frac { ( - 5 - h ) ^ { 2 } } { a ^ { 2 } } + \frac { ( 3 - k ) ^ { 2 } } { b ^ { 2 } } = 1 } \end{array} \right. \)