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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...
Click here to see answer by greenestamps(13237)

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...
Click here to see answer by ikleyn(53213)

Question 1160338: The clients have 6m tall tree in their back yard that is leaning 8 degrees to the vertical.
To prevent it from leaning any further, until it can be properly dug up and replanted, A support pole is placed 1M from the top of the tree at a 75 degrees angle with the ground.
How far from the base of the tree is the support pole placed on the ground?
Click here to see answer by ikleyn(53213)

Question 1177064: In quadrilateral ABCD, AB=BC=1,m∠B=100degrees,m∠D=130degrees, Find BD.
No picture is associated with this question.
Click here to see answer by ikleyn(53213)

Question 1177064: In quadrilateral ABCD, AB=BC=1,m∠B=100degrees,m∠D=130degrees, Find BD.
No picture is associated with this question.
Click here to see answer by CPhill(2103)

Question 1209547: Find the surface area of the regular pyramid.
A triangular pyramid. The base triangle has a base of 7 centimeters and a height of 6 centimeters. The height of a triangular face is labeled 9 centimeters.
cm2
Click here to see answer by ikleyn(53213)

Question 1209548: Find the surface area of the regular pyramid.
A triangular pyramid. The base triangle has a base of 30 millimeters and a height of 26 millimeters. The height of a triangular face is labeled 20 millimeters.
mm2
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Question 1209550: A farmer has 114 feet of fencing. Which shape would give the most area?
(a) Equilateral triangle
(b) Circle
(c) Square
(d) Non-square rectangle
Click here to see answer by math_tutor2020(3826)

Question 1192321: 1. Suppose you have n points, no three of which are collinear. How many lines contain two of these n points?
2. If no four of the n points are coplanar, how many planes contain three of the n points?
Hint: (for 3 and 4, generalize in a form of a formula)
3.Prove theorem 1.1.4. The steps in the proof are already given: you just have to supply the reasons for each step.
Theorem 1.1.4. If two lines intersect, then their union lies in exactly one plane.
Proof: Let and be two intersecting lines.
a. A ∩ B is a point p.
b. B contains a point q ≠ p.
c. There is a plane E, containing A and q.
d. E contains A ∪ B.
e. No other plane contains A ∪ B.
Click here to see answer by CPhill(2103)

Question 1192322: 1. Suppose you have n points, no three of which are collinear. How many lines contain two of these n points?
2. If no four of the n points are coplanar, how many planes contain three of the n points?
Hint: (for 3 and 4, generalize in a form of a formula)
3.Prove theorem 1.1.4. The steps in the proof are already given: you just have to supply the reasons for each step.
Theorem 1.1.4. If two lines intersect, then their union lies in exactly one plane.
Proof: Let and be two intersecting lines.
a. A ∩ B is a point p.
b. B contains a point q ≠ p.
c. There is a plane E, containing A and q.
d. E contains A ∪ B.
e. No other plane contains A ∪ B.
Click here to see answer by CPhill(2103)

Question 1193334: EF is the median of trapezoid ABCD in the figure below. Use the following theorems to answer the questions.
If three (or more) parallel lines intercept congruent line segments on one transversal, then they intercept congruent line segments on any transversal.
The line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one-half the length of the third side.
Suppose that AB = 11.4 and DC = 17.2.
Find MF.
Find EM.
Find EF.
Find
1/2(AB + DC).

Click here to see answer by proyaop(69)

Question 1193343: a ∥ b ∥ c and B is the midpoint of AC.
AB = 2x + 5, BC = x + 7, and DE = 3x + 6.
x =
Find the length of
DE.
DE =
Because a ∥ b ∥ c and B is the midpoint of
AC,E is the midpoint of
DF and EF =
.
Find the length of
EF.
Click here to see answer by proyaop(69)

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 ikleyn(53213)

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 ikleyn(53213)

Question 1209264: How can I prove a square is the largest rectanglar area possible? I'm really stuck. Thanks for any help
Click here to see answer by math_tutor2020(3826)

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 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 math_tutor2020(3826)

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 greenestamps(13237)

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 mananth(16947)

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 Alan3354(69443)

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 math_tutor2020(3826)

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 greenestamps(13237)

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(53213)

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

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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(3826)

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 ikleyn(53213)

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(16947)

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(16947)

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(3826)

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 ikleyn(53213)