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We are given a flag with 7 regions. We want to color the flag such that no two touching regions have...

Graph ColoringCombinatoricsChromatic Number

The problem asks for the measure of the inscribed angle ACB in a circle, given that angle ACB $= (7x...

Inscribed AngleCircleAngle MeasurementAlgebraLinear Equations

We are given a circle with diameter $AD$. The measure of arc $AC$ is $132^\circ$. We need to find th...

CircleArcAngleDiameterIsosceles TriangleCentral Angle

We are given a circle with center O and chord PT. We are given that $m(\angle PBT) = 70^\circ$. We n...

CirclesAnglesTrianglesInscribed AnglesCentral AnglesArcsGeometry

The problem asks to translate the given line segment by the given vectors in parts a and b. Part a: ...

VectorsTransformationsTranslationCoordinate GeometryLine Segment

The problem asks us to translate each point on the coordinate grid by the given vector. Part a) invo...

VectorsCoordinate GeometryTranslations

The problem asks to translate the given line segment by the vector $\begin{pmatrix} 4 \\ 2 \end{pmat...

VectorsTranslationLine SegmentsCoordinate Geometry

Point A is translated by the vector $\begin{pmatrix} 2 \\ 4 \end{pmatrix}$. We need to circle the ne...

VectorsTranslationCoordinate Geometry

一辺が $0.1 \ m$ の立方体を水中に沈めた時に働く浮力の大きさを求める問題です。水の密度は $1.0 \times 10^3 \ kg/m^3$、重力加速度の大きさは $g = 9.8 \ m...

浮力物理体積密度重力

一辺が0.1 mの立方体を水中に沈めたとき、立方体にはたらく浮力の大きさを求める問題です。ただし、水の密度は$1.0 \times 10^3 kg/m^3$、重力加速度の大きさは$g = 9.8 m/...

物理浮力アルキメデスの原理体積密度重力有効数字

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