a Gas enters an impulse turbine at a velocity of \( 2000 \mathrm{~m} / \mathrm{s} \) making an angle of \( 20^{\circ} \) with the plane of rotation. The average dia- meter of the turbine wheel is \( 1,272 \mathrm{~m} \) while it receives 34 kg gas per minute so that the wheel can rotate at 12000 rpm . The moving outlet blade has an angle of \( 35^{\circ} \). Consider a friction loss of \( 20 \% \) and determine: The velocity and angle at which the gas leaves the turbine The diagram efficiency The power generated in the turbine ( \( 600 \mathrm{~m} / \mathrm{s} ; 86,5^{\circ} ; 76,4 \% ; 865 \mathrm{~kW} \) )

3) Диагонали ромба \( A B C D \) пересекаются в точке \( O \) и равны 24 и 45. Найдите скалярное произведение векторов \( \overrightarrow{A O} \) и \( \overrightarrow{B O} \). Ответ:

13. Raw materials: \( \$ 575 \) Direct labor: \( \$ 182 \) Overhead: \( \$ 76 \) Factory cost: ? A. \( \$ 757.00 \) B \( \$ 651.00 \) C. \( \$ 317.00 \) OD. \( \$ 833.00 \)

Question The hypotenuse of a right triangle is 10 cm long. One of the triangle's legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth. Provide your answer below:

2. Realiza las siguientes operaciones: a) \( (-5+3 \cdot 7):(-2-6)-[-5+2 \cdot(-3)+1] \)

4. Para armar um circo, 50 homens levam 2 dias, trabalhando 9 horas por dia. Com a dispensa de 20 homens, em quantos dias o circo será armado, trabalhando-se 10 horas por dia? (A) 7 dias (B) 6 dias (C) 5 dias (D) 4 dias (E) 3 dias