最新の問題
3点A($\alpha$), B($\beta$), C($\gamma$)を頂点とする$\triangle ABC$について、$\gamma=(1-i)\alpha + i\beta$が成り立つとき...
複素数平面三角形角度直角二等辺三角形
2025/4/29
We are given the equation $\frac{5^{n+3}}{25^{2n-2}} = 5^0$ and we need to find the value of $n$.
ExponentsEquationsSimplificationProblem Solving
2025/4/29
We are given a rectangular tank with length 250 cm and width 120 cm. We pour 180 liters of water int...
VolumeRectangular PrismUnit Conversion
2025/4/29
The problem asks us to solve the inequality $3(x + 1) \le 5(x + 2) + 15$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/4/29
We are given a set $T = \{x: -2 < x \le 9\}$ where $x$ is an integer. We are asked to find $n(T)$, w...
Set TheoryCountingIntegers
2025/4/29
The problem asks to find the value of $x$ such that the sum of 6 and one-third of $x$ is one more th...
Linear EquationsEquation SolvingVariable Isolation
2025/4/29
The problem asks to find the number of elements in the intersection of sets $P$ and $Q$, denoted as ...
Set TheoryIntersection of SetsCounting
2025/4/29
複素数平面上の3点A(-1+i), B(3-i), C(x+3i)が与えられている。ただし、$x$は実数である。 (1) 直線ABとACが垂直に交わるように、$x$の値を定める。 (2) 3点A, B...
複素数平面複素数ベクトル垂直一直線
2025/4/29
A casting is made of copper and zinc. 65% of the casting is zinc and there are 147g of copper. We ne...
PercentageRatioProblem Solving
2025/4/29
In the given diagram, line segment $QR$ is parallel to line segment $ST$. Also, $|PQ| = |PR|$, which...
TrianglesParallel LinesIsosceles TriangleAnglesGeometric Proofs
2025/4/29