For a holiday party, Rebecca purchased 3 cans of cranberry sauce. Each can was in the shape o cylinder with a diameter of 10 cm and a height of 12 cm . Which measurement is closest to the volume of the cranberry sauce she purchased in cubic centimeters? \( \begin{array}{ll}\text { A. } 2827.43 \mathrm{~cm}^{3} & \text { C. } 942.48 \mathrm{~cm}^{3} \\ \text { B. } 3769.91 \mathrm{~cm}^{3} & \text { D. } 565.49 \mathrm{~cm}^{3}\end{array} \)

If \( G H=80, H F=60, G F=75, K I=30 \), and \( J I=37.5 \), find the perimeter of \( \triangle I J K \). Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

세 점 \( O, A, B \) 에 대하여 \( \overrightarrow{O A}=\vec{a}, \overrightarrow{O B}=\vec{b} \) 라 하자. 선분 \( A B \) 를 \( 2: 3 \) 으 로 내분하는 점을 \( P \), 외분하는 점을 \( Q \) 라 할 때, 벡터 \( \overrightarrow{P Q} \) 를 \( \vec{a}, \vec{b} \) 로 나타내면 \( \frac{1}{5}(x \vec{a}+y \vec{b}) \) 이다. \( x \) 는?

6) A line can only be used as a justification step once in a proof, such that if Line \( \# 1 \) is used with a modus ponens, it cannot be used for any subsequent steps of the proof.

점 \( F(1,2) \) 와 직선 \( x=6 \) 까지의 거리가 같은 점들이 그리는 곡선의 방정식 이 \( y^{2}+a x+b y+c=0 \) 일 때, \( a+b+c \) 의 값을 구하여라.

17. Find the acute angle between the diagonals of a rectangle whose sides are 5 cm and 7 cm .