Questions on Word Problems: Geometry answered by real tutors!

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Question 210462: 1. a rope 17 m long is attached to the top of a flagpole. The rope is just able to reach a point on the ground 8 m from the base of the pole. Find the height of the flagpole.
2.a vertical pole 3 m long casts a shadow 1 m long at the same time a building casts a shadow 12 m long. How tall is the building?
3.from the top of a 20 m lighthouse, the angle of depression of the nearest point on the beach is 8 degrees. Find the distance from the bottom of the lighthouse to the beach.
4. the diagonal of a square measures 9 radical 2 meters. Find the length of a side of the square.
Click here to see answer by Earlsdon(6287)

Question 208130: Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is acceleration to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance which the sled travels?
Click here to see answer by Alan3354(30993)

Question 210674: What is the maximum area for a rectangle whose perimeter is 136 cm?
Click here to see answer by rfer(12655)

Question 210902: Solve 8x^2y+3y=2x for y as a function of x (express in calculator syntax form)
Click here to see answer by nerdybill(6957)

Question 210907: If P(x)=3x^3+2x^2+x+20 and we write P(x) in the form P(x)=A+B(x-1)+C(x-1) (x-2)+D(x-1)(x-2)(x-3) A=? and B=?
Click here to see answer by Edwin McCravy(8893)

Question 211316: If the complement of an angle is 5 degrees less than one-sixth of its supplement, find the measure of the angle.
Click here to see answer by stanbon(57290)

Question 211275: The length of a rectangle garden is 6 feet longer than its width.if the area is 55 sq.ft.find the length and width. Quadratic equation
Click here to see answer by checkley77(12569)

Question 211385: A farmer wants in enclose a rectangular plot of land with an area of 600 sq.ft. that borders on a river. The length of the plot needs to be 15 feet shorter than three times the width. If you do not fence the side along the river, find the amount of fencing that is needed - to the nearest tenth of a oot. Quadratic equation
Click here to see answer by ankor@dixie-net.com(15646)

Question 211581: A banner in the shape of an isosceles triangle has a base that is 2 inches shorter than either of the equal sides. If the perimeter of the banner is 43 inches, then what is the length of the equal sides?
Thx
Click here to see answer by jim_thompson5910(28536)

Question 211583: The width of a rectangle is four feet less than the length. The perimeter is 16 ft. Find the width.
Thx
Click here to see answer by rfer(12655)

Question 211644: HELP! I'm racking my brains with this one.
A jar contains 4 yellow marbes, 12 green marbles, and 11 black marbles. If one marbe is selected at random, what is the probability tht it is not yellow?
Click here to see answer by Alan3354(30993)

Question 211655: I'm stuck on this one does anyone have the solution
Two balls are to be selected without replacement from a bag containing on red, one blue, one green, and one yellow ball. How many points are there in the sample space?
Click here to see answer by stanbon(57290)

Question 211658: Help this is very challenging for me.
A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard.
a) Use the counting principle to determine the number of different arrangements
of bicycles that are possible.
b) Construct a tree diagram illustrating all the different arrangements of
bicycles that are possible.
c) List the sample space.
Click here to see answer by stanbon(57290)

Question 211662: Now this is really a challenging question and I am lost.
At an annual flower show, 7 different entries are to be arranged in a row.

a) how many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Click here to see answer by stanbon(57290)

Question 211663: This is my last question need the solution stuck on it.
How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview?
Click here to see answer by stanbon(57290)

Question 211664: this is my last question can someone show me the solution
A man has 7 pairs of pants, 9 shirts, and 4 ties. How many different outfits cna he wear?
Click here to see answer by rfer(12655)

Question 211645: Can someone help me with this solution for this.
One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a jack.
Click here to see answer by checkley77(12569)

Question 211643: Please someone help with this question I am losing the battle here.
If you roll a die many times, what would you expect to be the relative frequency of rolling a number less tht 5?
A) 2 out of 3, B) 1 out of 3, C) 1 out of 6, D) 1 out of 2, E) 5 out of 6
Click here to see answer by checkley77(12569)

Question 211661: can somebody help with this solution
A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a,e,i,o,u), and repetition of letters is not permitted, but repetition of digits is permitted?
Click here to see answer by Edwin McCravy(8893)

Question 211636: the length of a picture frame is 3 inches greater than the width. The perimeter is less than 52 inches. Describe the dimensions of the frame
Click here to see answer by checkley77(12569)

Question 211653: HELP! losing my mind over this one.
500 tickets for prizes are sold for $2 each. Five prizes will be awarded- one for $300, one for $200, and three for $50. Steven purchases one of the tickets.
a) Find the expected value
b) Find the fair price of the ticket.
Click here to see answer by Edwin McCravy(8893)

Question 211682: a preson standing close to the edge on the top of a building throws a baseball vertically upward. the equation describeshte ball's heigthabove the ground after t seconds. h=-16t^2+64t+160 a) how many seconds does it take until the ball finally hits the ground? round to tenths. b.) find t=0 and describe what this means.
Click here to see answer by stanbon(57290)

Question 211672: A vacant rectanglar lot is been turned into a community vegetable garden measuring 15m.by 12m. with a path of uniform width surrounding the garden. if the area of the lot is 378sq.m. find the width of the path surrounding the garden. quadratic equation
Click here to see answer by scott8148(6628)

Question 212146: i need to find the distance between the points (-1,5) and (-6,-4).

Click here to see answer by drj(1380)

Question 212150: the length of a rectangular swimming pool is 12 ft less than its length. If the perimeter of the pool is 96 ft, what are the dimensions of the pool?
Click here to see answer by checkley77(12569)

Question 212354: the complement of an angle is one-third the size of the supplement of the same angle. Find the measure of the angle?
Click here to see answer by HyperBrain(694)

Question 212342: the measure of an angle is 5 less than 4 times the measure of its supplement.
find the measures of both angles?
Click here to see answer by HyperBrain(694)

Question 212340: the measure of an angle is one-third the measure of its supplement. find the measure of the angle?
Click here to see answer by drj(1380)

Question 212404: If a diagonal of a square is 18 cm, how long is a side?

Click here to see answer by Theo(3458)

Question 212455: A triangle has a perimeter of 3075 miles. The shortest sides measures 75 miles less than the middle, and the longest side measures 375 miles more than the middle side. Algebraically, find the length of the three sides.
Click here to see answer by drj(1380)

Question 212505: george built a rectangular pen for his rabbit such that the length in 7 ft. less than twice the width. If the perimeter is 40 ft., what are the dimensions of the pen
Click here to see answer by drj(1380)

Question 212386: Please help me slove this equation : Find the area of each rectangle with the given base and height,
240cm, 5m
Click here to see answer by drj(1380)

Question 212386: Please help me slove this equation : Find the area of each rectangle with the given base and height,
240cm, 5m
Click here to see answer by MathTherapy(1422)

Question 212392: Please help me answer: Width of a rectangle is fixed at 10cm. What lenths will amke the perimeter greater than 78cm.
Click here to see answer by edjones(7569)

Question 212392: Please help me answer: Width of a rectangle is fixed at 10cm. What lenths will amke the perimeter greater than 78cm.
Click here to see answer by solver91311(16877)

Question 211852: a rectangular room has an area of 665 square feet. Its length is three less than twice its width. what are the dimensions of the room?
Click here to see answer by drj(1380)

Question 212851: a 25 inch television measures 25 inches across the diagonal. If the length is 20 inches what is the width?
Click here to see answer by Fombitz(13828)

Question 213039: Each of the rows in the auditorium has two more seats than the row in front of it. If the first row has 21 seats, and there are 40 rows of seats, how many seats are in the last row? How many total seats are there in the auditorium?
Click here to see answer by stanbon(57290)

Question 213046: Suppose July of one year has 5 Mondays. Which day MUST there be five of in August? (July and August both have 31 days)
Click here to see answer by Alan3354(30993)

Question 213056: A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the last row. If the display has 100 cans, how many rows does it contain?
Click here to see answer by stanbon(57290)

Question 213072: a rectangle is 5 ft longer than its width. if the lenght is shortened by 2 ft and the width is increased by 1 ft, the area remains unchanged. find the area.
Click here to see answer by aggie_tutor(13)

Question 213142: If the length of a rectangle is doubled and its width is tripled, how many times would the area increase? Also, write a formula to represent the problems for any rectangle.
Click here to see answer by checkley77(12569)

Question 213289: The perimeter of a rectangle is 72 meters. If the width is 8 meters less than the length, then what is the width of the rectangle?

Click here to see answer by rfer(12655)

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