Un foglio di carta A4 ha le seguenti dimensioni: \( a=(21,0 \pm 0,1) \mathrm{cm} \quad b=(29,7 \pm 0,1) \mathrm{cm} \) a. Esprimi correttamente la misura del perimetro del foglio. b. Esprimi correttamente la misura dell'area del foglio. soluzione Calcola il valore attendibile del perimetro \( p=2(a+b) \) : \[ \bar{p}=2(\bar{a}+\bar{b})=2(21,0 \mathrm{~cm}+29,7 \mathrm{~cm})=101,4 \mathrm{~cm} \] Lerrore assoluto \( e_{\mathrm{p}} \) di \( p \) si ottiene sommando gli errori assoluti delle due dimensioni e poi moltiplicando per 2 : \( e_{p}=2(0,1+0,1)=0,4 \mathrm{~cm} \) Scrivi il risultato della misura del perimetro: \( p=(101,4 \pm 0,4) \mathrm{cm} \)

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.

In \( \triangle \mathrm{TUV}, u=4.8 \mathrm{~cm}, v=4.4 \mathrm{~cm} \) and \( \angle \mathrm{T}=84^{\circ} \). Find the length of \( t \), to the nearest 1oth of a centimeter.

In \( \triangle \mathrm{EFG}, e=96 \mathrm{~cm}, f=71 \mathrm{~cm} \) and \( \angle \mathrm{G}=52^{\circ} \). Find the length of \( g \), 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.)

In \( \triangle \mathrm{EFG}, e=880 \) inches, \( f=140 \) inches and \( g=890 \) inches. Find the measure of \( \angle \mathrm{G} \) to the nearest 10th of a degree.