Monday

September 22, 2014

September 22, 2014

**Recent Homework Questions About Geometry**

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**Geometry**

A right triangular prism has volume equal to 288 cm^3 . The height of the prism is 3 cm. One of the bases of the triangular face (not the hypotenuse) is equal to 12 cm, determine the length of the hypotenuse (in cm) of the triangular face.
*Thursday, March 28, 2013 at 12:18am*

**Geometry**

The vertices of a regular 10-gon are labeled V_1, V_2, \ldots V_n, which is a permutation of \{ 1, 2, \ldots, 10\}. Define a neighboring sum to be the sum of 3 consecutive vertices V_i, V_{i+1} and V_{i+2} [where V_{11}=V_1, V_{12}=V_2]. For each permutation \sigma, let N_\...
*Wednesday, March 27, 2013 at 11:53pm*

**Geometry**

ABCD is a trapezoid with AB < CD and AB parallel to CD. \Gamma is a circle inscribed in ABCD, such that \Gamma is tangent to all four sides. If AD = BC = 25 and the area of ABCD is 600, what is the radius of \Gamma?
*Wednesday, March 27, 2013 at 11:52pm*

**Geometry**

The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as \frac{a}{b} where a and b are coprime positive integers. Find a + b.
*Wednesday, March 27, 2013 at 7:09pm*

**geometry**

The scale factor is 5/4. Find the area of the pre-image if the area of the image is 150 in2.Show your work.
*Wednesday, March 27, 2013 at 3:58pm*

**GEOMETRY**

The squares of a 3×3 grid of unit squares are coloured randomly and independently so that each square gets one of 5 colours. Three points are then chosen uniformly at random from inside the grid. The probability that these points all have the same colours can be ...
*Wednesday, March 27, 2013 at 3:05pm*

**Geometry**

The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as \frac{a}{b} where a and b are coprime positive integers. Find a + b
*Wednesday, March 27, 2013 at 11:58am*

**Geometry**

ABCD is a quadrilateral inscribed in a circle with AB = 1, BC = 3, CD = 4 and DA = 6. What is the value of \sec^2 \angle BAD?
*Tuesday, March 26, 2013 at 11:34pm*

**Geometry**

Determine the number of subsets of A=\{1, 2, \ldots, 10\} whose sum of elements are greater than or equal to 28 .
*Tuesday, March 26, 2013 at 11:33pm*

**Geometry**

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?
*Tuesday, March 26, 2013 at 11:31pm*

**Geometry**

ABC is an isosceles triangle where AB = AC and BC = 60. D is a point on BC such that the perpendicular distance from D to AB and AC is 16 and 32, respectively. What is the length of AB?
*Tuesday, March 26, 2013 at 11:31pm*

**Geometry**

Two points are chosen uniformly at random on the unit circle and joined to make a chord C_1. This process is repeated 3 more times to get chords C_2, C_3, C_4. The probability that no pair of chords intersect can be expressed as \frac{a}{b} where a and b are coprime positive ...
*Tuesday, March 26, 2013 at 11:29pm*

**Geometry**

Two points are chosen uniformly at random on the unit circle and joined to make a chord C_1. This process is repeated 3 more times to get chords C_2, C_3, C_4. The probability that no pair of chords intersect can be expressed as \frac{a}{b} where a and b are coprime positive ...
*Tuesday, March 26, 2013 at 11:29pm*

**Geometry**

When writing a math expression, any time there is an open bracket "(", it is eventually followed by a closed bracket ")". When we have a complicated expression, there may be several brackets nested amongst each other, such as in the expression (x+1)*((x-2...
*Tuesday, March 26, 2013 at 11:27pm*

**geometry**

what is tan-1 3.5= to
*Tuesday, March 26, 2013 at 7:59pm*

**Geometry**

When you use the distance formula, you are building a _____ triangle whose hypotenuse goes between two given points. A.right B.equilateral C.acute D.None of these
*Tuesday, March 26, 2013 at 10:02am*

**geometry**

The volume of a small circle is 10 cubic meters. Find the volume of the larger sphere in cubis meters.
*Tuesday, March 26, 2013 at 9:58am*

**geometry**

A. Derive the distance formula (d) shown below for points A = (x1, y1) and B = (x2, y2). 2 2 1 2 2 1 d = (x − x ) + ( y − y ) Note: Look for an application of the Pythagorean theorem where the red line, segment AB, is the hypotenuse of a right triangle. You can ...
*Monday, March 25, 2013 at 1:58pm*

**geometry**

can someone please show me the answer for this problem ? a tree is situated on level ground from a point 135 feet from the base of the tree the measure of the angle of elevation from the ground to the top of the tree is 43 degrees which is the height of the tree to the nearest...
*Monday, March 25, 2013 at 1:39pm*

**CST GEOMETRY**

a tree is situated on level ground from a point 135 feet from the base of the tree the measure of the angle of elevation from the ground to the top of the tree is 43 degrees which is the height of the tree to the nearest foot?
*Monday, March 25, 2013 at 1:23pm*

**GEOMETRY(CIRCLE)**

Three circles with different radii have their centers on a line. The two smaller circles are inside the largest circle, and each circle is tangent to the other two. The radius of the largest circle is 10 meters. Together the area of the two smaller circles is 68% of the area ...
*Monday, March 25, 2013 at 2:11am*

**GEOMetry(TRIANGLE)**

ABC is an isosceles triangle where AB=AC and BC=60. D is a point on BC such that the perpendicular distance from D to AB and AC is 16 and 32, respectively. What is the length of AB?
*Monday, March 25, 2013 at 2:10am*

**GEOmetry!!.....**

ABCD is a trapezoid with AB<CD and AB parallel to CD. Γ is a circle inscribed in ABCD, such that Γ is tangent to all four sides. If AD=BC=25 and the area of ABCD is 600, what is the radius of Γ?
*Monday, March 25, 2013 at 2:05am*

**Please help with circle tangents geometry**

Two circles of different sizes are tangent at T. A is on the smaller circle, whereas B is on the larger one. Also, segment CD is tangent to the smaller circle, and crosses the goes through the larger circle and hits the other side at D. TD is a diameter, and AB || CD. If the ...
*Sunday, March 24, 2013 at 8:17am*

**geometry**

The measures of two consecutive angles of a parallelogram are in the Ratio 3:7. Find the measure of an acute angle of the parallelogram
*Saturday, March 23, 2013 at 3:16pm*

**Geometry**

The length of one base of a trapezoid is 19 inches and the length of the median is 16 inches. Find the length of the other base.
*Friday, March 22, 2013 at 12:08am*

**Geometry**

Abcd is an isosceles trapezoid with a(10,-1) b(8,3) and c(-1,3). Find the coordinates of d
*Friday, March 22, 2013 at 12:04am*

**Geometry**

For diagonals of square Abcd intersect at e . If ae =2x+6 and bd =6x-10 find ac
*Thursday, March 21, 2013 at 11:35pm*

**Geometry**

ABCD is a rectangle with B(-4,2) andD (10, 6). find the coordinates of A. Please help and tell me how you got it so I can understand
*Thursday, March 21, 2013 at 10:17pm*

**Geometry**

ABCD is a rectangle with B(-4,2) andD (10, 6). find the coordinates of A. Please help and tell me how you got it so I can understand
*Thursday, March 21, 2013 at 10:17pm*

**Geometry**

Find the sum of the measures of the exterior angles of a convex 39-gon?
*Thursday, March 21, 2013 at 10:01pm*

**Circle Geometry - chords in a circle**

Let PQ, RS , and TU be parallel chords of a circle. The distance between chords PQ and RS is 4, and the distance between chords RS and TU is also 4. If PQ = 78 TU=50 , then find RS. how to do this? Draw some lines?
*Thursday, March 21, 2013 at 9:01pm*

**Math (Geometry)**

Given: ABCD is arhombus. prove:AC bisects angle BAD and angel BCD.
*Thursday, March 21, 2013 at 6:12pm*

**algebra and geometry **

1) in a random survey of students, 152 students could swim and 48 could not. what is the probability that a student can swim? 2) suppose you spin two spinners, one marked 1 through 4 and the other marked A through E. how many possible outcomes are there? 3) an ice cream store ...
*Thursday, March 21, 2013 at 5:34pm*

**geometry**

Cone a is 9 inches tall and has a diameter of 8 inches. Cone b has a diameter of 12 inches. What height does cone b need to be in order to hold the same volume as cone A
*Thursday, March 21, 2013 at 5:34pm*

**GEOMETRY**

Let P=(p1,p2,…,p7) be a permutation of the integers 1,2,…7. For how many permutations P are all seven sums S1=p1,S2=p1+p2,…,S7=p1+p2+⋯+p7 not multiples of 3?
*Thursday, March 21, 2013 at 5:14pm*

**GEOMETRY**

A right triangle has perimeter equal to 198 and area equal to 1386. What is the length of the hypotenuse?
*Thursday, March 21, 2013 at 5:13pm*

**Geometry - Circles and tangents**

Two circles of radius 1 are externally tangent at Q . Let PQ and QR be diameters of the two circles. From P a tangent is drawn to the circle with diameter QR , and from R a parallel tangent is drawn to the circle with diameter PQ . Find the distance between these two tangent ...
*Thursday, March 21, 2013 at 5:07pm*

**Geometry - semicircle inside isosceles triangle**

Isosceles triangle ABC has sides of length AB=AC=25 and BC=40 . Find the area of a semicircle inscribed in triangle ABC with diameter along BC . Please help I do not know how to start....
*Thursday, March 21, 2013 at 2:14pm*

**geometry**

A wall pennant is in the shape of an isosceles triangle. Each of the two equal sides measures 18 in more than the third side, and the perimeter of the triangle is 54in. What are the lengths of the sides of the pennant?
*Thursday, March 21, 2013 at 11:41am*

**GEOMETRY**

ANGLES X AND Y ARE SUPPLEMENTARY ,AND THE MEASURE OF ANGLES X IS 24 DEGREES GREATER THAN THE MEASURE OF ANGLE Y. FIND THE ANGLE MEASURES.
*Wednesday, March 20, 2013 at 10:44pm*

**geometry**

Lin says that a hexagon has six sides. Chris says that it has eight sides. Whose statement is correct?
*Wednesday, March 20, 2013 at 2:42pm*

**geometry**

the perimeter of a quadrilateral is 30 cm. what is the maximum possible area of the quadrilateral.
*Wednesday, March 20, 2013 at 1:56am*

**geometry**

Ok, so I have this worksheet due, and it's for a lot of points, so can you check over my answers please? Can you leave your email so I could forward the scan to you? The worksheet has a lot of labeled shapes, so it's hard to describe in text. These are the answers that...
*Tuesday, March 19, 2013 at 1:51pm*

**analytic geometry/graphing problem**

The vertices of a triangle are the points of intersection of the line y=-x-1, x=2 and y = 1/5x + 13/5. Find an equation of the circle passing through all three vertices. I don't understand how to solve this: should I set them all equal to find the vertices? But afterwards...
*Tuesday, March 19, 2013 at 1:47pm*

**simple GEOMETRY!!**

In triangle ABC, ∠ABC=30∘,∠ACB=60∘;. D is a point in triangle ABC such that DB and DC bisect angles ABC and ACB respectively. What is the measure (in degrees) of ∠BDC?
*Tuesday, March 19, 2013 at 7:07am*

**geometry**

The angles in triangle ABC satisfy 6sin∠A=3√3sin∠B=2ͩ0;2sin∠C. If sin2∠A=a/b, where a and b are coprime positive integers, what is the value of a+b?
*Monday, March 18, 2013 at 8:26pm*

**geometry**

ABCD is a parallelogram. Let C′ be a point on AC extended such that the length of AC′=1.2AC. Let D′ be on the segment BD such that the length of BD′=0.9BD. The ratio of the area of the quadrilateral ABC′D′ to the area of the parallelogram ...
*Monday, March 18, 2013 at 8:12pm*

**Geometry**

A two-player game is played with two piles of stones, with sizes m,n. On a player's turn, that player can remove any number of stones from one pile, or the same number of stones from each pile. A player loses when they are unable to take a stone. If 1 \leq m,n \leq 30, for...
*Monday, March 18, 2013 at 7:29pm*

**geometry**

Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first task should be to ...
*Monday, March 18, 2013 at 7:25pm*

**geometry**

Consider the region in Quadrant 1 totally bounded by the 4 lines: x = 3, x = 9, y = 0, and y = mx (where m is positive). Determine the value of c such that the vertical line x = c bisects the area of that totally bounded region. Needless to say, your first task should be to ...
*Monday, March 18, 2013 at 7:18pm*

**geometry**

find the perimeter of the rectangle if the area is 6m+3m
*Monday, March 18, 2013 at 5:52pm*

**geometry**

Carlos want to show a rectangle in his drawing. What dotes he have to do to the drawing below to make the rectangle a closed shape?
*Monday, March 18, 2013 at 3:51pm*

**geometry**

A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
*Monday, March 18, 2013 at 1:50pm*

**Geometry**

BC is a triangle with ∠BAC=60∘,AB=5 and AC=25. D is a point on the internal angle bisector of ∠BAC such that BD=DC. What is AD^2? It is not stated that D lies on BC. This assumption is not necessarily true.
*Monday, March 18, 2013 at 5:21am*

**Geometry**

ABC is a right angled triangle with ∠ABC=90∘ and side lengths AB=24 and BC=7. A semicircle is inscribed in ABC, such that the diameter is on AC and it is tangent to AB and BC. If the radius of the semicircle is an improper fraction of the form a/b, where a and b ...
*Monday, March 18, 2013 at 5:20am*

**chemistry**

Construct the correct structure for AsClF42-. Please construct the molecule such that the dipole is oriented vertically up or vertically down. - Name the type of hybrid orbitals the central atom forms. - Name the molecular geometry of the compound. - State whether the molecule...
*Monday, March 18, 2013 at 4:54am*

**Math Geometry**

A cube has 8 vertices. For each pair of distinct vertices, we connect them up with a line segment. There are (8) (2) =28 such line segments. For each of these 28 line segments, we mark the midpoint. How many distinct points have been marked as the midpoints?
*Monday, March 18, 2013 at 2:56am*

**geometry**

in the accompanying diagram, RST is a right triangle, SU is the altitude to hypotenuse RT, RT=16 and RU=7
*Monday, March 18, 2013 at 12:56am*

**geometry**

the perimeter of parallelogram QRST is 26cm. If ST=e 6cm what is the length of RS
*Sunday, March 17, 2013 at 9:30pm*

**geometry**

In the graph below, what is the line of reflection for XYZ and X'Y'Z'?
*Sunday, March 17, 2013 at 5:48pm*

**hs geometry**

to find the height of a tree, a student 53 inches in height measures the length of the tree's shadow and the length of his own shadow. The student casts a shadow 63 inches in length and the tree casts a shadow 67 inches in length
*Sunday, March 17, 2013 at 10:18am*

**geometry**

1. Find the area of the parallelogram. (1 point) 3,302 ft2 3,484 ft2 3,752 ft2 4,020 ft2 2. Find the area of the triangle. (1 point) 21.84 cm2 21.2 cm2 10.92 cm2 10.6 cm2 3. Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 22....
*Saturday, March 16, 2013 at 7:33pm*

**geometry**

to find the height of a tree, a student 53 inches in height measures the length of the tree's shadow and the length of his own shadow. The student casts a shadow 63 inches in length and the tree casts a shadow 67 inches in length
*Saturday, March 16, 2013 at 6:45pm*

**geometry and combination**

On a straight line ℓ, we have an infinite sequence of circles Γn, each with radius 1/2^n, such that Γn is externally tangential to the circles Γn−1,Γn+1 and the line ℓ. Consider another infinite sequence of circles Cn, each with radius rn...
*Saturday, March 16, 2013 at 8:30am*

**Geometry**

What translation rule can be used to describe the result of the composition of (x, y) (x – 9, y – 2) and (x, y) (x + 1, y – 2)
*Saturday, March 16, 2013 at 3:18am*

**Geometry**

Assuming that the circumference of each circle passes through the centers of the other two, and that the radius of each circle is 1, what is the total combined area?
*Thursday, March 14, 2013 at 4:48pm*

**Geometry**

The coordinates of the vertices of a parallelogram are given. Find the possible coordinates for the fourth vertex. L(0,4), M(6,0),N(2,4)
*Thursday, March 14, 2013 at 4:34pm*

**geometry**

From point Q on circle P, an arc is drawn that contains P. Find the measure of the arc AQB that is cut off.
*Thursday, March 14, 2013 at 1:51pm*

**geometry**

A right triangle prism has a volume of 2 cubic inches. A second right triangle prism is similar to the first one and has a volume of 128 cubic inches. A. What is the scale factor to go from the first prism to the second? B. What is the scale factor to go from the second prism ...
*Wednesday, March 13, 2013 at 11:53pm*

**Geometry**

A jet is cruising at 360 mph and at an elevation of 34650 feet and on course to pass directly over a golf course. A man on the seventh green sees the jet and quickly calculated the angle of elevation to be five degrees. How long until the jet passes overhead? Nearest seconds ...
*Wednesday, March 13, 2013 at 11:01pm*

**geometry**

Alexa has 200 square inches of wrapping paper left. Which is the side length of a cube she could not cover with the paper?
*Wednesday, March 13, 2013 at 10:01pm*

**geometry**

What is 2(1x1/2)+2(1x1/4)+2(1/2x1/4)
*Wednesday, March 13, 2013 at 8:40pm*

**Geometry**

If EF=2x-19, FG=3x-15, and EG=26, find the values of x, EF, And FG
*Wednesday, March 13, 2013 at 6:46pm*

**geometry help!!**

A parallelogram ABCD has perimeter equal to 124. Let E be the foot of the perpendicular from A to BC, and let F be the foot of the perpendicular from A to CD. If AE=7 and AF=24, what is the area of the parallelogram?
*Wednesday, March 13, 2013 at 4:36pm*

**geometry**

If the measure of ÐDAB = 50°, and ÐDAC = 20°, what is ÐCAB?
*Wednesday, March 13, 2013 at 3:37pm*

**geometry**

prove that rectangles do not exist in hyperbolic geometry
*Wednesday, March 13, 2013 at 3:36pm*

**Math/Geometry**

Two circles of radius r1 and r2 are extenally tangential to each other and are also externally tangential to a staight line l. Another circle of some unknown radius is externally tangential to both the circles and to the straight line l. Find the adius of that circle.
*Wednesday, March 13, 2013 at 6:12am*

**geometry!**

Γ is a circle with center O. A and B are points on Γ such that the sector AOB has a perimeter of 40. Amongst all circular sectors with a perimeter of 40, what is the central measure of ∠AOB (in radians) of the sector with the largest area?
*Wednesday, March 13, 2013 at 1:18am*

**Geometry**

7 points are placed in a regular hexagon with side length 20. Let m denote the distance between the two closest points. What is the maximum possible value of m?
*Tuesday, March 12, 2013 at 10:15pm*

**Geometry**

In distinct odd-town, the inhabitants want to number their houses with 3-digit positive integers that are odd, which have all distinct digits. What is the maximum number of houses in odd-town?
*Tuesday, March 12, 2013 at 10:15pm*

**Geometry**

Let S = \{ 1, 2, 3, \ldots 12\} and T_1, T_2, \ldots T_a be subsets of S such that T_i \not \subset T_j \, \forall i \neq j . What is the maximum possible value of a?
*Tuesday, March 12, 2013 at 10:06pm*

**Geometry**

Determine the largest positive integer N, such that given any N-gon (not necessarily convex), there exists a line (infinitely extended in both directions) that contains exactly 1 edge of the N-gon. The figure in blue is an example of a 20-gon that doesn't satisfy the ...
*Tuesday, March 12, 2013 at 10:05pm*

**Geometry**

Six standard six-sided die are rolled. Let p be the probability that the dice can be arranged in a row such that for 1\leq k \leq 6 the sum of the first k dice is not a multiple of 3. Then p can be expressed as \frac{a}{b} where a and b are coprime positive integers. What is ...
*Tuesday, March 12, 2013 at 10:04pm*

**Geometry**

Given: segment BD bisects angle ABC; AB=BC. Prove: triangle ABD congruent to triangle CBD
*Tuesday, March 12, 2013 at 8:12pm*

**Geometry**

The Z company specializes in caring for zebras. They want to make a 3-dimensional "Z" to put in front of their company headquarters. The "Z" is 15 inches thick and the perimeter of the base is 390 inches. What is the lateral surface area of this "Z"?
*Tuesday, March 12, 2013 at 7:34pm*

**geometry**

ABCD is a trapezoid with AB parallel to DC. If AB=25, BC=24, CD=50 and AD=7, what is the area of ABCD?
*Tuesday, March 12, 2013 at 6:07pm*

**geometry**

A parallelogram ABCD has perimeter equal to 124. Let E be the foot of the perpendicular from A to BC, and let F be the foot of the perpendicular from A to CD. If AE=7 and AF=24, what is the area of the parallelogram?
*Tuesday, March 12, 2013 at 6:06pm*

**GEOmetry..**

7 points are placed in a regular hexagon with side length 20. Let m denote the distance between the two closest points. What is the maximum possible value of m?
*Tuesday, March 12, 2013 at 12:12pm*

**Geometry**

Point M is the midpoint of the line equation ABMC. Which of the following is not true? (1)AM = MC (2) AB < MC (3) AM > BC or (4) BM < MC
*Tuesday, March 12, 2013 at 11:05am*

**geometry**

Square ABCD and circle T have equal areas and share the same center O.The circle intersects side AB at points E and F.Given that EF=√(1600-400π),what is the radius of T ?
*Tuesday, March 12, 2013 at 9:43am*

**geometry**

A pyramid has a square bottom, with an area equal to 64 squares meters. the height of the pyramid is 7 inches. if you start at the top of the pyramid and slide all the way down the middle of one of the sides how many feet will you move?
*Tuesday, March 12, 2013 at 2:41am*

**Geometry**

Given: segment AB is congruent to segment BC; angle 1 is congruent to angle 2 Prove: triangle ABC is congruent to triangle DEC
*Monday, March 11, 2013 at 9:35pm*

**Geometry**

180° about z takes (x,y,z) -> (-x,-y,z) 90° about x takes (x,y,z) -> (x,z,-y) so, your two rotations take (x,y,z) -> (-x,z,y)... z axis top/bottom, x/y axis right/ left... A dice has 3 on the top, 4 bottom, 1 left, 2 right, 5 left back, 6 right back... after ...
*Monday, March 11, 2013 at 8:28pm*

**geometry**

If ABCDE and LMNOP are similar polygons, then the ratio of AB to LM must be equal to the ratio of CD to NO. (Assume and are corresponding sides, as are and .)
*Monday, March 11, 2013 at 2:49pm*

**Geometry**

ABC is a triangle with area equal to 20 . The incircle of triangle ABC has radius equal to 2 and the circumcircle of triangle ABC has radius equal to 6 . If sinA+sinB+sinC=a/b , where a and b are coprime positive integers, what is the value of a+b ?
*Monday, March 11, 2013 at 2:01pm*

**Geometry**

ƒ¡ is a circle with center O . A and B are points on ƒ¡ such that the sector AOB has perimeter 40 . What is the measure of ÚAOB (in radians) when the area of the sector AOB is maximized
*Monday, March 11, 2013 at 1:59pm*

**geometry**

A cylindrical water tower with a conical top and hemispheric bottom needs to be painted. If the cost is 2.19 per square foot, how much does it cost (to the nearest dollar) to paint the tank?
*Monday, March 11, 2013 at 9:29am*

**simple geometry**

How many numbers from 1 to 100 are multiples of 3 but not 5?
*Monday, March 11, 2013 at 4:55am*

**geometry!**

The swimming pool that sunny goes to has dimensions 20 meters long, 8 meters wide and 3 meters deep. What is the volume of water (in m^3) that the swimming pool contains?
*Monday, March 11, 2013 at 4:52am*

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