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Mathematics 23 Online
OpenStudy (anonymous):

find the length of each arc in terms of pi.

OpenStudy (anonymous):

There should be more information.

OpenStudy (anonymous):

it is a circle and the radius is 11ft.

OpenStudy (anonymous):

So then the circumference would be 2π(11)ft or 22πft. But there should be an angle measure that corresponds to the arc.

OpenStudy (anonymous):

The arc length formula is 2πr*(x/360) where r is the radius and x is the degree measure of the arc.

OpenStudy (anonymous):

the degree is 150

OpenStudy (anonymous):

then you would have 2π(11)(150/360) = 9.167π ft

OpenStudy (anonymous):

thanks now i need your help with another question. find the area of a rhombus.

OpenStudy (anonymous):

so a rhombus is a parallelogram and the area of a parallelogram is base*height. So you should have a base and height. The height will be measured perpendicular to the base (create a 90 degree angle)

OpenStudy (anonymous):

a 90 degree angle is already created

OpenStudy (anonymous):

Good, then take the base and multiply by the height and that will give you the area.

OpenStudy (anonymous):

the answer says 21.65 cm^2 and i do not know how he came up with that.

OpenStudy (anonymous):

please reply back i need your help

OpenStudy (anonymous):

Are there any lengths given?

OpenStudy (anonymous):

they gave me 30 and 5cm

OpenStudy (anonymous):

are these the lengths of the base and the height? If so the answer should be 30*5 = 150 square cm

OpenStudy (anonymous):

i don't think it is because 150 is not the answer on my answer sheet. I think those numbers represents something else but i just do not know what

OpenStudy (anonymous):

Are they the lengths of the diagonals?

OpenStudy (anonymous):

there are two diagonals and one of the lenghts is 30 and the other number is on the outside of the rhombus.

OpenStudy (anonymous):

Without being able to see a diagram I'm afraid I can't be much help with this problem, sorry.

OpenStudy (anonymous):

thanks anyway for trying but im not done with you yet, um I need help with finding the area of a triangle. Round to the nearest tenth and the base of the triangle is 3 ft.

OpenStudy (anonymous):

ok, area of a triangle is given by the formula (1/2)bh where b is the base and h is the height. So for this problem there should be a height given.

OpenStudy (anonymous):

it's only 3ft and its an equilaterial triangle.

OpenStudy (anonymous):

ah, ok then. In an equilateral triangle you can draw the height in. The height line will cut the base in half and give you two triangles with sides 1.5 and 3 with the last side as 2.59807621 (using the pythagorean theorem a^2 + b^2 = c^2). So the height (2.59807621) times the base (3) divided by 2 is = 3.89711432

OpenStudy (anonymous):

so are both sides going to be 1.5

OpenStudy (anonymous):

how did you get 2.59807621

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