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Question 142166: You throw a basketball up in the air. The basketball's height,in feet,is given by the function h= 16t^2 + 30t + 4,where t is the time in seconds after the ball leaves your hand.Use a graphing calculator to find the greatest height the ball reaches.
Help with this question would be very much appreciated.

Click here to see answer by scott8148(6628) About Me 

Question 142296: Hello, I am wondering if anyone can tell me if I am in the right direction for answering the following problem.
On a sunny day a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 35m long and the shadow is 28m how tall is the flag pole.
I have A^2 + 28^2 = square root of 35^2
A^2 + 784 = 35
A^2 = 35-784
A^2 = -749
A^2 = 27.37 meter is what the folow pole is.
I am doing a unit on different types of square and nth root applications and ths is my first time learning such items ( I am in my 40's!!) so any help is appreciated. Thank you.

Click here to see answer by stanbon(75887) About Me 
Question 142296: Hello, I am wondering if anyone can tell me if I am in the right direction for answering the following problem.
On a sunny day a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 35m long and the shadow is 28m how tall is the flag pole.
I have A^2 + 28^2 = square root of 35^2
A^2 + 784 = 35
A^2 = 35-784
A^2 = -749
A^2 = 27.37 meter is what the folow pole is.
I am doing a unit on different types of square and nth root applications and ths is my first time learning such items ( I am in my 40's!!) so any help is appreciated. Thank you.

Click here to see answer by oscargut(2103) About Me 

Question 142291: Please if someone could help me with the following question
A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 18m high and then driveway is 49m from the building how long is the string of bannerr. This is what I did but am not sure if this is corret.
18^2 + 49^2 = c^2
324 + 2401 = c^2
2725 = c^2
c = 52.20 ft long.
If anyone can tell me the correct answer to this problem it would be appreciated. Thanks

Click here to see answer by stanbon(75887) About Me 

Question 142479: Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?
Click here to see answer by Nickolas34(1) About Me 

Question 142530: PLEASE HELP !
George built a rectangular pen for his rabbit such that the length is 7ft. less than twice the width. If the perimeter is 40ft. what are the dimensions of the pen?

Click here to see answer by jojo14344(1513) About Me 

Question 143206: a) How much water will it take to fill the swimming pool with the dimensions 2.5m by 10m by 6m? ( 1m^3=1000L)
b) How long will it take to fill the pool at a rate of 5L every 30 seconds?

Click here to see answer by checkley77(12844) About Me 
Question 143206: a) How much water will it take to fill the swimming pool with the dimensions 2.5m by 10m by 6m? ( 1m^3=1000L)
b) How long will it take to fill the pool at a rate of 5L every 30 seconds?

Click here to see answer by jojo14344(1513) About Me 

Question 143449: Dan and Frank are roommates. They both leave their house on their bicycles at the same time. Dan rides west for 4 miles and then south for 3 miles. Frank rides east for 1 mile and then north for 2 miles. How far apart are they when they both arrive at their destinations?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 143493: if sec0=3 and tan0=2sqr root 2 what are the values of
cot0
sin0
cos^2 0

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Question 143492: use common trigonometric identities for the functions given to find the indicated trigonometric functions. Pleas show all work give answers in exact form no decimals.
If sin 30 degrees=1/2 and cos30 degrees =sqr root 3/2 what are the values of
tan30degrees
csc30degrees
cot30degrees

Click here to see answer by nabla(475) About Me 

Question 143495: a man stands atop a building. he measures the angle of elevation to the building across the street to be 20 degrees and the angle of depression(to the base of the building) to be 35 degrees. if two buildings are 50 feet apart how tall is the taller building. please show all work and find the solution
Click here to see answer by vleith(2983) About Me 

Question 143496: a weather balloon B lies directly over a 1000-meter airstrip extending from A to C. The angle of elevation from A to B is 55 degrees and from C to B is 37 degrees. Find the distance from A to B and from C to B. Please show all work. round to the nearest hundredths.
Click here to see answer by Fruglemiester1234(13) About Me 

Question 143600: To determine the height of a tree, a student places a 2m rod 24m from the tree. She finds that she can align the top of the rod with the top of the tree when she stands 1.9m from the rod. The student's eyes are 1.6m above the ground. What is the height of the tree.
Click here to see answer by edjones(8007) About Me 

Question 143596: A store sign is 9m high. The maximum length of the ladder is 10m Will the top of the ladder safely reach the sign? The ladder is 2m from the wall and the angle betweeen the ladder and the ground 75.5 degrees. Explain
Click here to see answer by vleith(2983) About Me 

Question 143594: Two cabins, A and C are located 450m apart on the bank of a river. Across the river from the two cabins is a boathouse at B. Use the information in the diagram to calculate the width of the river. Angle CAB is 70 degrees. Angle BCA is 30 degrees.

Click here to see answer by vleith(2983) About Me 

Question 143778: There are 126 different figures that can be formed using four of the 9 dots in the figure below.
. . .
. . .
. . .
What is the probability that if you select four dots at random and connect them, the figure will be a square? Any help would be great. Thanks

Click here to see answer by oscargut(2103) About Me 

Question 143838: Please help me solve this equation:
The length of a rectangular room is 3 feet less than twice its width. Find the dimensions of the room if the perimeter is 54 feet.

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Question 143843: A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.50 per ft^2, determine the size of the garden that can be enclosed for $120.
Thanks

Click here to see answer by scott8148(6628) About Me 

Question 143980: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
This problem is included in a chapter that has factoring equations and the Pythagorean theorem. I would appreciate any help - thanks!

Click here to see answer by vleith(2983) About Me 

Question 144051: Can someone help me with the problem below, thanks.
Six distinct points lie on the circumference of a circle. How many inscribed quadrilaterals can be drawn having four of these points as vertices?
Thanks again.

Click here to see answer by stanbon(75887) About Me 

Question 144280: A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give answer in terms of pi.
Find the volume of water. The volume is the area x length.
The area of the segment is:
r%5E2arccos%28%28%28r-h%29%2Fr%29%29-%28r-h%29sqrt%282rh-h%5E2%29
The values listed (using an Excel sheet I made) give a cross-sectional area of:
10.10963 sq ft
6 times that is: 60.657787 cubic ft
The volume of a "vertical" cylinder is PIr%5E2h, in this case PIx4xh, so
h = Vol/4PI, which is 4.82699 feet. In terms of PI, it's 15.16445/PI

Click here to see answer by Alan3354(69443) About Me 

Question 144207: an aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches. Use p=3.14 as an approximate value. (a) how many square inches in area is the aluminum plate (the shaded region)? (b) If the cost to construct the plate is &7.50 per square inch, what is the construction cost?
Click here to see answer by checkley77(12844) About Me 

Question 144485: if the ratio of the measures of the interior angles of a quadrilateral is 3:5:7:9
what is the measure of the largest angle of the quadrilateral ?

Click here to see answer by ikdeep(226) About Me 

Question 144568: You have three boxes, one containing 1000 grapes, one containing 1000 grapes and 500 olives. The boxes were labelsed for their content, but someone has switched the labels so that every box is now incorrectly labeled. You are allowed to take one item at a time out of the box, without looking inside, and by this process of sampling, you are to determine the contents of all three boxes. What is the smallest number of drawings needed to do this?
Click here to see answer by Alan3354(69443) About Me 

Question 144617: If you were given three points on a coordinate plane and asked to determine if they were connected they formed:
a right triangle
a scalene triangle
an equilateral triangle
How would you explain how to make each of these triangles using the points.

Click here to see answer by nabla(475) About Me 
Question 144617: If you were given three points on a coordinate plane and asked to determine if they were connected they formed:
a right triangle
a scalene triangle
an equilateral triangle
How would you explain how to make each of these triangles using the points.

Click here to see answer by shahid(44) About Me 

Question 144637: The floor of a rectangular room that measures 10 feet by 12 feet is partially covered by a circular rug with a radius of 4 feet. What percent of the floor is covered by the rug? (Hint: The area of a circle is A=(oie sign)r2).
So I know that radius of the rug which I believe is 16 (pie sign) which means that 44 is the entire area - 16 which leaves you with 28, I'm just having a problem with how to set this problem up and come up with the answer which I believe is right around 63.6363% but I still need to know how to set up the problem.
Thanks for any help

Click here to see answer by Alan3354(69443) About Me 

Question 144690: You are filling paper cones with popcorn for a party. The radius of each cone is 8 centi. and the height is 15 centi. Find the amount of popcorn needen to fill the paper cone to the nearest cubic centi.


Help given with this problem would be greatly appreciated.

Click here to see answer by solver91311(24713) About Me 

Question 144897: the perimeter of a rectangle is 50 m. The width of the rectangle is 5 m less than the length. find the length and width of the rectangle
Click here to see answer by Alan3354(69443) About Me 

Question 144879: not sure if this is right
6. (4 pts)
1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded – one for $400, one for $200, and five for $50. Steven purchases one of the tickets.
400(1/1000) + 200(1/1000) + 50(5/1000) – 2(993/1000) = -1.14
a) Find the expected value expected value is -$1.14
b) Find the fair price of the ticket. ?????

Click here to see answer by solver91311(24713) About Me 

Question 144877: Not sure if this is right
7. (2 pts)
Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space? 5*4 = 20 ??

Click here to see answer by solver91311(24713) About Me 

Question 145114: A ladder 5m long is leaning against a wall 12m high. The foot of the ladder is 4m from the base of the wall.The distance,in m,from the top of the ladder to the top of the wall is:
Click here to see answer by checkley77(12844) About Me 
Question 145114: A ladder 5m long is leaning against a wall 12m high. The foot of the ladder is 4m from the base of the wall.The distance,in m,from the top of the ladder to the top of the wall is:
Click here to see answer by Earlsdon(6294) About Me 

Question 145188: A tree of height 4.5 m casts a shadow of 3.0 m then the height ,in metres, of a tree casting a 2.8 m shadow is
Click here to see answer by nerdybill(7384) About Me 

Question 145196: If the perimeter of a rectangle is 34 ft and the width is 8 ft, find its length. [Hint: The perimeter of a rectangle is given by P = 2L + 2W.]
Click here to see answer by jojo14344(1513) About Me 

Question 145407: A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder, if the distance of its top to the ground is 4 feet less than the length of the ladder.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 145433: The width of a rectangle gate is 2 meters larger than its height. The diagonal brace measures the square root of 6 m. Find the width and height.
This problem is included in a chapter that deals with quadratic equations. Thanks for any help you can give me!

Click here to see answer by stanbon(75887) About Me 

Question 145549: A livestock pen is built in the shape of a rectangel that is twice as long as it is wide. The perimeter is 48ft. If the material used to build the pen is $1.75 per foot for the longer sides and $2.25 per foot for the shorter sides, find the cost to build the pen.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 145846: The length of a rectangle is twice its width. If the perimeter of the rectangle is 30cm , find its area.
Click here to see answer by checkley77(12844) About Me 

Question 145975: Two similar triangles have perimeters of 15 and 8. If the area of the larger triangle is 100, find the area of the smaller triangle rounded to the nearest tenth.
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Question 145881: If you drew 11 rays in the interior of an angle how many angles have you formed?
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Question 146235: How much is an acute angle?
Click here to see answer by Earlsdon(6294) About Me 

Question 146493: hello again guys...!Here's my question:
A vertical pole was broken by the wind. The upper part, still attached, reached a point on the level ground 15 feet from the base. If the upper part is 9 feet longer than the lower part, how tall was the pole?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 146493: hello again guys...!Here's my question:
A vertical pole was broken by the wind. The upper part, still attached, reached a point on the level ground 15 feet from the base. If the upper part is 9 feet longer than the lower part, how tall was the pole?

Click here to see answer by checkley77(12844) About Me 

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