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Home Question Bank Math Geometry Archive 2025 January 05

Geometry Questions from Jan 05,2025

Browse the Geometry Q&A Archive for Jan 05,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Un prisma triangular tiene lados de 5 cm, 7 cm y 8 cm en su base. Calcula su área superficial si la altura del prisma es de 15 cm. Given a geometric sequence where the first term is 5 and the common ratio is 3, find the sum of the first 4 terms. 12. A scale of \( 1: 3 \) is used on an engine schematic of a 351 C engine. In the drasiog the distributor gear is 0.47 inches. What is the actual diameter of the gear? Round to two decimal places. Question 8 of 10 Write the equations of the vertical and horizontal lines through the point \( (9,-2) \). Equation of the vertical line \( \square \) Equation of the horizontal line \( \square \) The two adjacent sides of a parallelogram are represented by the lines \( x-y+1=0 \) and \( 4 x-3 y=2 \). If one of the diagonal of the parallelogram is the line \( y=\frac{3 x}{2} \) then find the area of parallelogram. The vertices of quadrilateral in order are \( (-1,4),(5,6) \), \( (2,9) \) and \( \left(x, x^{2}\right) \). The area of the quadrilateral is \( \frac{15}{2} \) sq. units, then find the point \( \left(x, x^{2}\right) \) \( (2,9) \) and \( \left(x, x^{2}\right) \). The area of the quadrilateral is \( \frac{15}{2} \) sq. Z. Finding slopes of lines parallee and perpeniociar Consider the line \( y=\frac{1}{2} x \). What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of a perpendicular line: \( \square \) 1. A verandah 4 m broad runs around a hall, which is 20 m long and 15 m wide. Find the area of the verandah. 4. A rectangular plot has length 80 m and breadth 45 m . A 4 m wide path extends along the inside edge of the plot Find the area of the path. A small circle of radius 7 cm is removed from a big circle of radius 10 cm . If these circles were initially drawn on a square of side length 30 cm , what area of paper was left when the smaller circle was cut out? \[ \text { Square }=900 \mathrm{~cm}^{2} \]
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