Questions on Geometry: Geometric formulas answered by real tutors!

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Question 1201881: An aeroplane leaves an airport and flies due north for 1 and half hours at 500 km per hour. It then flies 400 km on the bearing 053 degree. Calculate it's final distance and bearing from the airport. Leave your answer to the nearest km and 0.1 respectively.

Click here to see answer by Alan3354(69443)

Question 1201894: Find the general form of the equation of the plane passing through the points
A (3, 2, 2), B (1,5, 0), and C (1, -3, 1). Use point A as 21, Y, 21 in the equation of the plane.
Click here to see answer by ikleyn(52788)

Question 1193624: Given:
rhombus ABCD (not shown) in which diagonals AC and DB intersect at point E
DB = AB = 6
Find: AC
simplest radical form AC =

approximation AC =

Click here to see answer by mananth(16946)

Question 1048028: (a) the ratio of mr paul's salary to mrs anna's salary is 3:4. if mrs anna draws a salary of Rs 28000, find mr. paul's salary.
(b) an amount of Rs210 is shared between roy and shireen so that ro gets 2/5 of shireen's share. how much does shireen get ?
(c) in a school of 540 pupils, there are 5 girls to every 4 boys. how many boys are there in that school ?
Click here to see answer by mananth(16946)

Question 1116331: The roof of a house is 12 feet high and the first step of the house is 5 inches high. Calculate the ratio of the roof's height to the first step's height in inches. (Write your answer as a decimal)
Click here to see answer by mananth(16946)

Question 1063725: How much money needs to get invested now to get $2,000 after 4 years at 8% compounded quarterly?
Click here to see answer by mananth(16946)

Question 1203065: You have a quadrilateral with sides measuring 7cm, 8cm, 10cm, and 11cm, and the angle between the two shortest sides is 75°. Calculate the area of the quadrilateral.
Click here to see answer by ikleyn(52788)

Question 1203592: Michelle has 4 large storage chests in her basement. Each storage chest has a base of 8 square feet. Three of the storage chests have a height of 2 feet and one storage chest has a height of 3 feet. What is the total volume, in cubic feet, of the four storage chests?
A. 48
B. 72 (the correct answer)
C. 88
D. 96

I need to know how to determine the correct answer of 72.
Click here to see answer by mananth(16946)

Question 1203622: Rowena saved 100 pesos on her daughter's first birthday. On her second birthday, she saved 300 pesos. On her third birthday, she saved 900 pesos and so on up to her daughter's 18th birthday. How much did Rowena saved for her daughter?
Click here to see answer by mananth(16946)

Question 1205006: The volume of a frustum of a cone of height h is given by the formula
V = ⅓πh(R² + Rr + r²)
Where R and r are the radii of its circular ends.
Hollow metal hemispheres of internal and external diameters 12.5cm and 17.5cm respectively, are to be cast from molten contents of a ladle in the shape of a frustum of a cone of depth 1.2m and radii of ends 0.6m and 0.635m. Calculate the number of hemispheres that can be cast.
Click here to see answer by math_tutor2020(3817)

Question 1206201: A lot runs between two parallel streets. The length of the lot on one of the streets is 80-ft. The length of the lot on the other street is 100-ft. The area of the lot is 18,000 square feet. How far apart are the two streets? (The formula for the area of a trapezoid is A=12(b1+b2)h
.)
Click here to see answer by math_tutor2020(3817)

Question 1193623: Given:
square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find: DB
simplest radical form DB =

approximation DB =

Click here to see answer by mananth(16946)

Question 1193331: Given isosceles trapezoid ABCD, find the following.
AC (in cm), if BD = 15.2 cm
AC = ?cm
x, if AC = 3(x + 7)and BD = 8(x − 6)
x =

Click here to see answer by mananth(16946)

Question 1168233: Solving Problems Involving Factor of Polynomials (Geometric Relation Problem)
1. The longest side of the triangle is 2 more than the shortest side. The middle side is 1 more than the shortest side. Find the lengths of the side of the triangle. Show your solution.
2. The dimensions of a rectangular flower garden in Olongapo Park are 20m by 10m. There is a paved walk uniform width surrounding the garden. The combined area of the garden and walk is 600m². Find the width of the walk. Show your solution.
Click here to see answer by mananth(16946)

Question 1206551: Harold Johnson lives on a four-sided, 50,000-square-foot lot that is bounded on two sides by parallel streets. The city has assessed him $1,000 for curb repair, $2 for each foot of property bordering on these two streets. How far apart are the streets?
Click here to see answer by math_tutor2020(3817)

Question 1206650: △ABC with m∠A = m∠B = 45° and
BC = 4
Find: AB approximation

Click here to see answer by ikleyn(52788)

Question 1207592: In triangle $ABC$, point $X$ is on side $BC$ such that $AX = 13,$ $BX = 13,$ $CX = 5,$ and the circumcircles of triangles $ABX$ and $ACX$ have the same radius. Find the area of triangle $ABC$.
Click here to see answer by ikleyn(52788)

Question 1207590: In triangle $PQR,$ let $X$ be the intersection of the angle bisector of $\angle P$ with side $QR$, and let $Y$ be the foot of the perpendicular from $X$ to side $PR$. If $PQ = 10,$ $QR = 10,$ and $PR = 12,$ then compute the length of $XY$.
Click here to see answer by Timnewman(323)

Question 1207807: A Dodge Neon and a Mack truck leave an intersection at the same time.The Neon heads east at an average speed of 30 miles per hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours.
Click here to see answer by josgarithmetic(39618)

Question 1207806: A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find an expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
Click here to see answer by MathLover1(20850)

Question 1207940: The tangent line to a circle may be defined as the line that intersects the circle in a single point, called the point of tangency. If the equation of the circle is x^2 + y^2 = r^2 and the equation of the tangent line is y = mx + b, show that:

A. r^2(1 + m^2) = b^2

B. The point of tangency is [(-r^2 m)/b, (r^2/b)]

C. The tangent line is perpendicular to the line containing the center of the circle and point of tangency.

Click here to see answer by Edwin McCravy(20056)

Question 1208432: when pipe is transported it is bundled into regular hexagons for stability during shipment. let n be the number of pieces of pipe on any side of the regular hexagon. write a rule for this situation. how many pieces of pipe are in a bundle when n = 12
the photo : imgur.com/a/3GF6R6G (IT IS NUMBER 2)
Click here to see answer by ikleyn(52788)

Question 1209009: Farmer Jessie has a field shaped as quadrilateral ABCD. She measures three of the sides AB = 50 meters, BC = 65 meters, and CD = 80 meters. She also determines that angle ABC = 130 degrees and BCD = 52 degrees.
(a) What is the distance between points A and C?
(b) Show one way to find the area of triangle ABC.
(c) Show a different way to find the area of triangle ABC.
(d) What is the area of quadrilateral ABCD?
Round each result to 3 decimal places.
Click here to see answer by ikleyn(52788)

Question 1209187: A homeowner has 80 feet of fence to enclose a rectangular garden. What dimensions for the garden give the maximum area?
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Question 1209200: The volume of a right cone is 4125π units. If its diameter measures 30 units, find its height? please help I'm really stuck...
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Question 1209264: How can I prove a square is the largest rectanglar area possible? I'm really stuck. Thanks for any help
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Question 1193686: Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.
Given: right △RST with
RT = 8radical 2
and m∠
STV = 150°
Find: RS and ST
simplest radical form RS=
approximation RS =
simplest radical form ST =
approximation ST=
Click here to see answer by parmen(42)

Question 1193592: Assume that AD is the geometric mean of BD and DC in △ABC Suppose BD = 3 and DC = 6.
Write a proportion involving AD that can be used to solve for AD.
3/AD
AD=

Find AD.
AD =

Suppose AD = 3 and DC = 6.
Write a proportion involving BD that can be used to solve for BD.
=
3/6
Find BD.
BD =

Click here to see answer by parmen(42)