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Find the volume of a right angled triangular prism with an angle of 28 degrees, hypotenuse of length 10 cm, and projected length of 12.5 cm. Give your answer in cm^3, to three significant figures.

The area of a prism is found by multiplying the area of the end face by the projected length. The adjacent and opposite side lengths of the triangle can be found using SOHCAHTOA. sin(28)= opposite/10, the...

Answered by Lily M. Maths tutor
2601 Views

Solve Simultaneous equations: 3x + 4y = 23 & 2x + 3y = 16

We need to cancel one of the variables (the x or y) out. Find the LCM of x or y.e.g. for x --> 6Multiply the WHOLE eqn to get 6x. So multiply the 1st eqn by 2 and the 2nd by 3[1] 6x + 8y = 46[2] 6x + 9...

Answered by Eric E. Maths tutor
2363 Views

What is a vector?

A vector describes a movement from one point to another.a column vector shows both the direction and the magnitude of this movement.the top number describes the horizontal movement.the bottom number descr...

Answered by Tom H. Maths tutor
3637 Views

1) What is the area of a rectangle? 2) What is the area of a triangle?

  1. The area is found by doing length x width. (this can be taught by using squared paper and counting the squares in a shape.2) the area of a triangle is found by using the equation 1/2 x base x height...
Answered by Tom H. Maths tutor
1621 Views

integrate from 0 to 2: 2x*sqrt(x+2) dx

There are a few ways to go about this question. I will do a substitution using u=(x+2)1/2. From this equation we need to find x in terms of u, the new limits of the integral and dx in terms of ...

Answered by Tom W. Maths tutor
9642 Views

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