Questions on Word Problems: Geometry answered by real tutors!

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Question 252739: This is the if/then theorem
If the sky is clear, then we can see the stars at night.
we have to find the inverse: which i think is if we can see the stars at night then sky is clear.
Converse: which i think its like the originally but you would put that if the sky is not clear..
Contrapositive: which i have no clue on

Click here to see answer by mathhater404(3)

Question 252787: The diameter of the large circle is twice the diameter of the small circle. What is the ratio of their areas?
A) 1:2 B) 1:3 C) 1:4 D) 1:5 E) 1:6
Click here to see answer by Theo(3458)

Question 250818: How can you cut a board with dimensions 8ft by 3ft to cover a hole with dimensions 12ft by 2ft if you can only make one cut in the board?
Click here to see answer by checkley77(12569)

Question 252838: the measures of two angles of a triangle are in the ratio 2:3. if the third angle is 4 degrees larger than the larger of the other two angles, find the measure of an exterior angle at the third vertex
Click here to see answer by stanbon(57282)

Question 250653: joe is 1.59 m tall, wishes to find the height of a tree. He walks 23.56 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow. He is now 8.42 m from the end of the shadows. How tall is the tree?
Click here to see answer by Theo(3458)

Question 252915: explain why it is necessary for two congruent angles to be in the same triangle in order for the sides opposite them to be congruent
Click here to see answer by drk(1908)

Question 252932: explain which method should be used to prove triangles congruent in a proof

Click here to see answer by drk(1908)

Question 253087: The diagonal of a rectangle exceeds the length by 1. The width of the rectangle is 1 less than one-third of the length. Find the length of the diagonal. Please show all steps.
Thanks :)
Click here to see answer by richwmiller(9135)

Question 253099: A radio station is going to construct a 12-foot tower for a new antenna on top of a tall building. The tower will be supported by three cables each attached to the top of tower and to points on the roof of the building which are 5 feet from the base of the tower. What is the total length of these three cables.
pyth theoreum
12(12)+5(5)=c*(c)
144+25=c*c
169=c*c
13=c

Click here to see answer by richwmiller(9135)

Question 253220: the width of a rectangle is 5 meters less than its length. the area is 84 square meters. find the dimensions of the rectangle.
Click here to see answer by richwmiller(9135)

Question 253306: how do you solve 21=1/2(8x-18)-x? I know x=10 but I don't know the proper way of getting the answer.
Click here to see answer by richwmiller(9135)

Question 253298: A flagpole is 50 feet from a point on the ground. The angle of depression from the top of the flagpole to the same point on the ground is 40°. Calculate the height of the flagpole to the nearest foot.
Click here to see answer by Earlsdon(6287)

Question 253373: For a birthday party, Marissa bought three cartons of ice cream at $4.59 each and two packages of plastic bowls at $3.00 each. If food is not taxed and non-emergency grocery items are taxed at the rate of 5%, what was her total bill?
Click here to see answer by rfer(12654)

Question 253394: the degree measures of the angels of ABC r represented by x,3x, and 5x-54 find the value of x

Click here to see answer by richwmiller(9135)

Question 148: What are the keysteps to prove the following geometry problem?
FIND THE RADIUS OF THE CIRCLE INSCRIBED IN THE TRIANGLE ABC.
GIVEN: AC=BC=12 AB=8
Click here to see answer by rfadrogane(214)

Question 253520: The width of a rectangular lot is 20% of the length. If the perimeter is 192ft, then what are the length and width of the lot?
Click here to see answer by solver91311(16872)

Question 253520: The width of a rectangular lot is 20% of the length. If the perimeter is 192ft, then what are the length and width of the lot?
Click here to see answer by MrCrump(1)

Question 253794: The sphere of radius r inside a cube touches each one of the six sides of the cube
what is the volume of the cube, in terms of r ?
a r^3 b 2r^3 c 4r^3 d 4/3 pi r^3 e 8r^3

Click here to see answer by richwmiller(9135)

Question 253927: james has a model car collection. one og his model trucks is measures 1/2 feet in length. the real truck measures 14 feet in length. what is the scale of the model truck to the real truck?
Click here to see answer by richwmiller(9135)

Question 253941: Please help! I really don't understand this!
a sheet of cardboard is made such that the length is 3 times the width. Equal-sized squares measuring 5 inches on a side will be cut from the corners so that the resulting piece if cardboard can form an open box by folding up the flaps. If the volume of the box is to be 8125in^3 , what should the original dimensions of the card be??
All I assumed was that the length is x and the width is 3x...Im not sure...
Thanks so much.
Click here to see answer by richwmiller(9135)

Question 253784: square RSTU is inscribed in the circle what is the degree measure of arc ST ?
Click here to see answer by ankor@dixie-net.com(15645)

Question 254063: 1.) A farmer wishes to put a diagonal brace on his gate. How long should the brace be if the gate is rectangular, 12 by 5 ft?
2.) A trunk is 4 x 3 x 2 ft. What is the longest rod that this truck can contain?
Click here to see answer by richwmiller(9135)

Question 254022: The perimeter of an isosceles triangle is 71 centimeters. The measure of one of the sides is 22 centimeters. What is one possibility of the measures of the other two sides?
Click here to see answer by edjones(7569)

Question 254309: If one side of a square is tripled and another is increased by 2, the area of the resulting rectangle is 45 units. What is the length of a side of the square?
Click here to see answer by JimboP1977(308)

Question 254435: 1.)A 12-foot ladder is leaning against the wall. When a painter P was 2/3 of the way of the ladder he dropped his brush which fell directly below him, 1 ft away from the wall. How far was the base of the ladder on the wall?

2.)You are flying a kite and have let out 1000 feet of string. The kite string makes a 42º angle with the ground. How high is the kite?
Click here to see answer by Theo(3458)

Question 254437: Find the values correct to 2 decimal places approximating the length of a in the triangles below:
a.) 35 degree
b.) 65 degree
c.) 47 degree
d.) 54 degree

Click here to see answer by richwmiller(9135)

Question 254443: I have to walk between my house at (0,0), my library at (1,3) and my school at (5, 2). What’s the minimum distance I have to walk?
A 27 b 2.5 c 7.3 d 5.2 e 6.6

Click here to see answer by Alan3354(30993)

Question 254436: Regulation for spectator bleachers require that the bleachers make an angle between 24º and 37º with the ground. If the Rizal Memorial Stadium bleachers are 43 feet wide and 27 feet high, do they meet the requirements.
Click here to see answer by drk(1908)

Question 254482: what is the largest rectangular region that can be enclosed with fencing on all four sides?
a rectangular region can be enclosed with on side against the house and fencing on all three sides. what are the dimensions of the largest rectangular region that can be enclosed with fencing on three sides?
Click here to see answer by drk(1908)

Question 254475: A “4 x 4 x 4” cube is made from 32 white unit cubes and 32 black unit cubes.
What is the largest possible percent of black surface area?
Click here to see answer by richwmiller(9135)

Question 254500: the perimeter of a rectangle is 70 inches the length exceeds the width by 19inches. Find the length and the width.
Click here to see answer by MRperkins(300)

Question 254862: What do you understand by deductive method of reasoning?
Click here to see answer by stanbon(57282)

Question 254845: Determine the area of a circle inscribed in a right triangle whose legs measure
8cm and 15 cm.

Click here to see answer by Alan3354(30993)

Question 254915: A box has rectangular top, bottom, and sides. The top and bottom are square. The volume must be 6 cubic meters. Express the total surface area A of the box in terms of the height h (in meters) of the box.
A(h)= ______ m^2
Click here to see answer by CharlesG2(828)

Question 254961: Opposites sides of a rectangle are the same length.If one side is represented by (2x=3) and a other is represented by (5x+6). what is the length of these sides ?
Click here to see answer by unlockmath(1599)

Question 254914: A swimming pool is 1 meters deep, 6 meters wide, and 30 meters long. Water is pumped into the pool at a rate of 100 liters per minute. How many hours will it take to fill the pool? (Remember that there are 1000 liters in a cubic meter).
Click here to see answer by CharlesG2(828)

Question 254949: A box has rectangular top, bottom, and sides. The top and bottom are square. The volume must be 6 cubic meters. Express the total surface area A of the box in terms of the height h (in meters) of the box.
A(h)= _____ m^2
Click here to see answer by CharlesG2(828)

Question 254943: the length of a rectangle is 5 cm more that twice the width. the perimeter of the rectangle is 34 cm. find the demensions of the rectangke.
Click here to see answer by checkley77(12569)

Question 255069: Determine the area of an equilateral triangle inscribed in a circle of radius 12 cm.
Click here to see answer by Greenfinch(383)

Question 255157: The Skydome in Toronto, Canada, is the first stadium with a hard-shell, retractable roof. The steel dome is 630 ft.in diameter. To the nearest foot, what is the circumference of this dome?
Click here to see answer by checkley77(12569)

Question 255134: The room is 2 meters longer than it is wide it's perimeter is 24 meters . Find the width in meters.
Click here to see answer by checkley77(12569)

Question 255097: 6. How many diagonals does a decagon have?
Click here to see answer by derbyman4025(7)

Question 255219: Find the dimensions of a rectangle whose area is 180 square meters and whose perimeter is 54 meters.
Click here to see answer by palanisamy(496)

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