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What are the lengths of each diagonal of a rhombus when they add up to 11.55 cm and it has an area of 16.335 square cm showing all work with answers?
Let the diagonals be x and y and so:-
If: x+y = 11.55 then y = 11.55-x
Area: 0.5*x*y = 16.335 => x*(11.55-x) = 16.335*2
So: 11.55x-x^2 = 32.67 => 11.55x-x^2 -32.67 = 0
Solving the above quadratic equation: x = 4.95 or x = 6.6
Therefore by substitution its diagonals are: 4.95 cm and 6.6 cm
Check: 4,95+6.6 = 11.55 cm which is the sum of its diagonals
Check: 0.5*4.95*6.6 = 16.335 square cm which is its area
What else can I help you with?
How many triangles make a rhombus?
Two equilateral triangles can form a rhombus- it can also be formed by using a higher number of isosceles triangles.
What is the area of a rectangle whose dimensions are in the ratio of 5 to 12 with a diagonal of 17.55 cm showing all aspects of work?
1 Let the sides be 5x and 12x2 Using Pythagoras: (5x)2+(12x)2 = 17.5523 And so: 25x2+1442 = 308.0025 => 1692 = 308.00254 Divide both sides by 169 and then square root both sides5 Therefore: x = 1.35 so sides are 5*1.35 = 6.75 cm and 12*1.35 = 16.2 cm6 Area = 6.75*16.2 = 109.35 square cm7 Check with Pythagoras: 6.752+16.22 = 308.0025 and its square root is 17.55 cm which is the rectangle's diagonal
What type of data figure is good for showing complex processes or ideas?
diagram
What type of data figure is good for showing complex processes of ideas?
a diagram
What mathematical relationship between variables is suggested by a graph showing a half-parabola?
inverse linear or quadratic
What is the perimeter of a rhombus whose area is 30 square cm and whose largest diagonal is 12 cm showing work?
Let the other diagonal be x If: 0.5*12*x = 30 then x = 60/12 => x = 5 The rhombus has four interior right angle triangles with lengths of 6 cm and 2.5 cm Using Pythagoras each equal sides of the rhombus works out as 6.5 cm Perimeter: 4*6.5 = 26 cm
What is the area and perimeter of a rhombus whose diagonals are in lengths of 7.5 cm and 10 cm showing work?
Area of the rhombus: 0.5*7.5*10 = 37.5 square cm Perimeter using Pythagoras: 4*square root of (3.75^2 plus 5^2) = 25 cm
Graph showing lengths proportional to ammounts?
weener
What are the diagonal lengths of an isosceles trapezoid whose longest parallel side is 25 cm with a height of 18 cm and an area of 315 square cm showing all work leading to the answer?
Let the other parallel side be x and then use Pythagoras to find diagonal lengths: Area: 0.5*(25+x)*18 = 315 sq cm Other parallel side: x = (315*2)/18 -25 = 10 cm Two right angle triangles can be formed with bases of 17.5 and heights of 18 cm Using Pythagoras: 17.5square+18squared = 630.25 and its sq rt is 25 to nearest integer Therefore the diagonal lengths are: 25 cm to the nearest whole number
What is the area of a rhombus when one of its diagonals is 11.8 cm in length and has a perimeter of 29 cm showing work and answer?
Perimeter = 29 cm so each side is 7.25 cm. The triangle formed by the diagonal and two sides has sides of 7.25, 7.25 and 11.8 cm so, using Heron's formula, its area is 24.9 square cm. Therefore, the area of the rhombus is twice that = 49.7 square cm.
What is the perimeter of a rhombus whose diagonals add up to 42.5 cm and has an area of 187.5 square cm showing work?
Double the area and find 2 numbers that have a sum of 42.5 and a product of 375 which will work out as 30 and 12.5 by using the quadratic equation formula. Therefore the diagonals are of lengths 30 and 12.5 which will intersect each other half way at right angles forming 4 right angle triangles inside the rhombus with sides of 15 cm and 6.25 cm Using Pythagoras' theorem each out side length of the rhombus is 16.25 cm and so 4 times 16.25 = 65 cm which is the perimeter of the rhombus.
The generic equation suggested by a graph showing a diagonal line from the lower left to the upper right of the graph?
y = ax
What mathematical relationship between variables is suggested by a graph showing a diagonal line from the lower left to the upper right of the graph?
Linear
What mathematical relationship between variables is suggested by a graph showing a diagonal line from the lower left to the upper right the graph?
Linear
What is 5 divided by 312 showing work answers?
0.016
How many triangles make a rhombus?
Two equilateral triangles can form a rhombus- it can also be formed by using a higher number of isosceles triangles.
Make a sentence with the word rude?
Answers dot com does not allow rude answers.
