Questions on Word Problems: Geometry answered by real tutors!

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Question 185893: would you please help me with this problem, i have been racking my brain for two days to figure it out...ok this is how it goes: There is a sailboat which must have a 110 ft mast and a combined mainsain and jibsail area of 3000 sq ft. The design calls for the mainsail to be 60% of the combined sail area,and the jibsail area to be 40%(of course). If the height of the triangular mainsail is 28ft more than twice the length of the boom, find the length of the boom and the height of the mainsail.
I've figured out this much so far... the mainsail=1800sq ft, and the jibsail =1200sq ft. Height=(2(boom)+28sq ft). and i know that the area of a triangle is A=1/2(base)(heigth). that is about it, i've played around with the numbers but haven't gotten it correct yet. Any help you can offer would be tramendous!Thanks
Click here to see answer by scott8148(6628)

Question 185975: the difference beetwen four times a number and 11 equals the sum of the number and 13. Find the number
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Question 185974: can you please hep me to answer this
the sum of two numbers is 20. the larger of two numbers is four less than thrice the smaller?
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Question 185992: The surface area of a cylinder varies jointly as its radius and height. If s=surface area, r=radius and h=height, which equation below represents the statement?
Click here to see answer by stanbon(57967)

Question 186035: Question: Given an isosceles triangle with a smaller base 0f 2, a perimeter of 70, and acute base angles of 60 degrees, find the trapezoid's area.

Work done so far: I know the formula for Area of trapezoid is .
b1 is 2 but I don't know if I draw altitudes for the trapezoid, the altitudes will equal 2 because the altitudes will make a square. I'm not sure on that part.
Click here to see answer by Edwin McCravy(8999)

Question 186376: A room is 11 ft. by 17 ft. It needs to be painted. The cealing is 8 ft above the floor. There are two windows in the room, each one is 3 ft. by 4 ft. The door is 2.5 ft. by 6.5 ft. Find the area of the walls and ceiling.One gallon of paint covers 80.88 sq.ft. How many gallons are needed to paint the room? At $19.11 a gallon, what is the cost to paint the room?
* need to know (area of the walls and ceiling)
(number of gallons needed)
(what the cost will be)
Click here to see answer by checkley77(12569)

Question 186614: How many different triangles can have sides of length 8 and 11 if the third side must have a length which is an integer?
Click here to see answer by josmiceli(9817)

Question 186621: Write the slope-intercept form of an equation for a line that passes through (-1,0) and is perpendicular to the graph of 3x-5y=20.
Click here to see answer by vleith(2825)

Question 186618: Find the slope of the line that passes through(-2,9.5) and (4,5).
Click here to see answer by nerdybill(7008)

Question 186616: An 18-foot ladder is placed 6 feet from the wall. Approximately how high does the ladder reach?
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Question 186620: Wite the slope-intercept form of an equation for a line that passes through (-1,0) and is perpendicular to the graph of 3x-5y=20
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Question 186620: Wite the slope-intercept form of an equation for a line that passes through (-1,0) and is perpendicular to the graph of 3x-5y=20
Click here to see answer by uday1435(57)

Question 186619: Suppose y varies directly as x, and y=-65 when x=-26. Write a direct variation equation that relates x and y.
Click here to see answer by nerdybill(7008)

Question 186615: Choose the slope-intercept form of the equation of the line that passes through (-2,4) and is perdendicular to the graph of 2x+y=-20
Click here to see answer by Alan3354(31530)

Question 186617: Write the equation of the line in general form that is parallel to 2x-3y-15=0 and that passes through the point(3,4).
Click here to see answer by checkley77(12569)

Question 186613: Angle A is 80 less than tree times angle B. If placed side by side they form a straight angle, find each angle.
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Question 186612: There are 5 people in a party. If each shakes the hands of the other four, how many hand shakes will there be?
Click here to see answer by Edwin McCravy(8999)

Question 187283: A trough is 2 m long, and its ends are triangles with sides of length 1 m, 1 m, and 1.2 m.
a) Find the volume V of the water in the trough as a function of the water level h.
b) If water is pumped into the empty trough at the rate of 6 L/min, find the water level h as a function of the time t after the pumping begins. (1 m^3 = 1000L)
Click here to see answer by solver91311(17077)

Question 187541: a 16 foot ladder is leaning against a house to celan a window that is 10 feet iff the ground, how far away should the base of the ladder be from the house in order to reach teh window?
Click here to see answer by jojo14344(1512)

Question 187609: The length of a rectangle is twice its width. If the area of the rectangle is 200yd^2 , find its perimeter.

Click here to see answer by checkley77(12569)

Question 187978: Gerry wants to inflate an exercise ball. The ball has a radius of 15 inches. If a pump can push 5 cubic inches of air everysecond, how many seconds will it take to inflate the ball?
Click here to see answer by Alan3354(31530)

Question 188229: Thomas is going to make an open top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size squares should be cut from each corner?
Click here to see answer by solver91311(17077)

Question 188351: a tree is 66 meters high casts a 44 meter shadow. find the angle of elevation of the sun.
Click here to see answer by stanbon(57967)

Question 188351: a tree is 66 meters high casts a 44 meter shadow. find the angle of elevation of the sun.
Click here to see answer by aggie_tutor(13)

Question 188645: This is a triganometry promblem using Law of Cosines.Given a triangle with b=4, c=7, and A=50 degrees, what is the lenght of a? Round answer two decimal places.
Thanks for your help!!!!
Click here to see answer by solver91311(17077)

Question 188879: a parking lot has a rectangular area of 40,000 sq yards. the lenght is 200 yards more than twice the width. what are the dimensions of the parking lot?
Click here to see answer by jonvaliente(64)

Question 189037: The longitude of a geographic location is measured in the degrees east or west from the prime meridian (o) to the international dateline (180). Quito, Ecuador on the west coast of south america, has a longitude of 78.5 west. Singapore, on the Malay Peninsula in Asia, has a longitude of 104 east. Both cities are very close to the equator (assume they are on the eqautor for this problem). The diameter of the earth at the equator is 7928 miles. What is the shortest distance from Quito to Singapore? explain how you got your answer
Click here to see answer by ankor@dixie-net.com(15746)

Question 189107: Find an expression for the area of a square with the given perimeter. P=12x+20y in. Thank you. HELP
Click here to see answer by ankor@dixie-net.com(15746)

Question 189142: Q: A photograph measures 2.25 centimeters high and 5 centimeters wide. How high will the photograph be if it is enlarged to 12 centimeters wide?

My answer is 5.625. Is it correct? I got that answer by taking the 2.25 and multiplying it by 2.5. If not, could you provide the answer and steps taken to solve this problem?

Thanks,
Blake

Click here to see answer by Mathtut(3670)

Question 189077: How many square yards of linoleum are needed for a kitchen floor that measures 10 ft by 12 ft?
A sheet of plastic 120 cm by 76 cm is to be cut for desks tops that measure 60 cm long and 38 cm wide. How many tops can be made from 6 sheets?
Find the area of a square whose perimeter is 7.2 m.
What is the area of a rectangle 8 m long if its perimeter is 30 m?
Thanks!!!
Click here to see answer by feliz1965(151)

Question 189371: Find the intersection of the V-shaped graph of y=[x-3] and the graph of y=2x+1
Click here to see answer by solver91311(17077)

Question 189370: Find the distance between the parallel lines corresponding to y=2x+3 and y=2x+7.
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Question 189463: Two sides of a triangle have the same length. the third side measures 5m less than twice the common length. The perimeter is 11m. What is the length of the three sides?
Click here to see answer by nerdybill(7008)

Question 189460: At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times height of the tree. Find the height of the tree.
Click here to see answer by nerdybill(7008)

Question 189489: The length of a rectangle flower bed is 7 feet less than 3 times its width. The area of the bed is 20 square feet. Find the dimensions of the bed.
Click here to see answer by solver91311(17077)

Question 189577: The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 45 feet and 6 foot high walls requires 3 quarts of paint, find the amount of paint needed to cover the walls of two rooms that each have a perimeter of 35 feet and 6-foot high walls. How many quarts are needed ( round up to the nearest quart).
Click here to see answer by ankor@dixie-net.com(15746)

Question 189668: This is a problem I missed on a quiz. Please, can anyone help me work this problem? Here it is: A small area in front of a building is triangular in shape. The perimeter is 49 meters. The second side is one-fourth of the first side in length. The third side is 4 meters more than the first side. FInd the length in meters of each side of the triangular region.
Click here to see answer by nerdybill(7008)

Question 189884: Explain how would you find the distance from the point P (-2,3) to the line x=1.
Click here to see answer by solver91311(17077)

Question 189882: Decide whether each of the statement is always true, sometimes true, or never true. Explain.
a) If E is the midpoint of DF, then DE=EF
b) If DE=Ef, then E is the midpoint of DF
Click here to see answer by solver91311(17077)

Question 190114: find the area of an equiangular triangle, whose perimeter is 24
Click here to see answer by Mathtut(3670)

Question 190113: Find the length of a 50 degree arc of a circle whose radius is 6.
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Question 190113: Find the length of a 50 degree arc of a circle whose radius is 6.
Click here to see answer by nerdybill(7008)

Question 190165: a cylinder with a radius of 6 inches and a height of 8 inches has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder?
Click here to see answer by nerdybill(7008)

Question 190253: a mountain bike tire is typically 26 inches in diameter. How many rotations will the tire make in one mile(5280 feet)?
Click here to see answer by ankor@dixie-net.com(15746)

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