Tutors Answer Your Questions about Geometric formulas (FREE)
Question 356855: When a plane flies directly from New York to London and then to Nairobi and
back to New York, it flies along the sides of a spherical triangle, approximately following the surface of Earth. On a sphere, the shortest path between two points is along an arc of a great circle. A great circle is obtained when a plane through the center of the sphere intersects the
sphere. (An example of a great circle is the equator.) To obtain a great circle through two given points on the sphere, we need consider only a plane through the two points and the center of the sphere. A spherical triangle consists of three points on the sphere and arcs of great circles (the shortest path) connecting the points.
a. How many great circles go through the North Pole and the South Pole on the globe?
b. Describe a spherical triangle that has one vertex at the North Pole and the other two vertices on the
equator.
c. Is there a spherical triangle with three right angles? If so, find one.
Click here to see answer by Alan3354(30993)   |
Question 359360: To find the height of a tree a group of girlsscouts devised the following method. A girl walks towards the tree along its shadow until the shadow of the top of her head coincides with the shadow of the top of the tree. If the girl is 150 cm tall, her distance to the foot of the tree is 15 m, and the lenght of her shadow is 3 m, how tall is the tree?
Click here to see answer by stanbon(57424) |
Question 364011: Two spherical cantaloupes of the same kind are sold at a fruit and vegetable stand. The circumference of one is 60 cm and that of the other os 50 cm. The larger melon is 1.5 times as expensive as the smaller. Which mellon is the better buy?
Click here to see answer by Alan3354(30993) |
Question 364011: Two spherical cantaloupes of the same kind are sold at a fruit and vegetable stand. The circumference of one is 60 cm and that of the other os 50 cm. The larger melon is 1.5 times as expensive as the smaller. Which mellon is the better buy?
Click here to see answer by robertb(4012)  |
Question 384084: Carrel Brady invests $500 in an account that earns 4.28% compounded continuously and $1000 in an
account that earns 5.20% compounded quarterly. Use graphical approximation methods to determine how long it
will take for his total investment in the two accounts to grow to $3000.
Click here to see answer by Theo(3472)  |
Question 388334: The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if the diagonals AC, BD have the same midpoint then show y3=y2 and x3=x2-x1
what I got is
0+x2/2 , 0+y2/2 = (x2/2 , y2/2)
I don't know how to do the rest please show me step by step.
Thank you!
Click here to see answer by jim_thompson5910(28598) |
Question 388356: I need help with this problem please.
A has coordinates (x1,x2) B (x2,y2) M (x1+x2/2 , y1+y2/2)
use the distance formula to show that AM= 1/2 AB
I tried to solve it but I got sqrt5 for both AM and AB
Please show me how to do it step by step.
Thank you!
Click here to see answer by mananth(12270)  |
Question 388362: Hi,
I need some help in this problem.
the vertices of a triangle are A(0,0) B(x1,0) C(x2,y2). M, N are the midpoints of AB,AC.
a) write the coordinates of M,N.
b) show that MN=1/2 BC
I got part a bur i didn't get b.
Thank you!!!
Click here to see answer by Edwin McCravy(8924)  |
Question 391354: 1. the length of a rectangular soccer field is 10 feet more than twice the width. the perimeter is 320 feet. find the length and width?
2. the second angle of a triangle is 20 degree greater than the first angle. the third angle is twice the second. find the three angles?
3. a piece of wire 35/3 in long is to be divided into two parts such that one part is 2/3 that of the other. find the length of the shorter piece?
4. the perimeter of a triangle is 17 cm. the second side is twice the length of the first side, and the third side is 1cm less than 3 times the length of the first side. what are the lengths of sides of the triangle?
5. the perimeter of a rectangle is 64 feet. the length of the rectangle is 3 ft less than 4 times the width . what are the dimensions of the rectangle?
6. one side of the rectangular metal plate is five times as long as the of the side . if the perimeter is 72 meters, what is th e length of the shorter side of the palte?
7. a rectangular box of cereal contains 252 cubic inches of product. it is 12 inches tall and 7 inches wide. how deep is the box?
Click here to see answer by solver91311(16897)  |
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