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Find the value of 'x' and state which angle on triangle ABC is smallest. A = right angle, B = 2x + 30, C = 2x

Where the angles of a triangle A+B+C = 180 degrees, then if follows that (where A = 90, B = 2x + 30, C = 2x):180 = 90 + 2x + 30 + 2x180 = 120 + 4x60 = 4x15 = xTherefore, it follows that A = 90, B = 60, C ...

Answered by Muhammad G. • Maths tutor

3825 Views

solve dy/dx = y(sec x)^2

Firstly, this differential equation should be solved using the separation of variables method, where all y terms are moved the left hand side of the equation and all x terms are moved to the right hand si...

Answered by Max D. • Maths tutor

6630 Views

Write 870,000,000 in standard form

The decimal point needs to move to the left as the number is larger then 10 so the power of 10 in the answer will be positive.870000000.87000000.8700000.870000.87000.8700.870.87.8.7The decimal point moves...

Answered by Matthew T. • Maths tutor

4862 Views

Cylinder A has the volume 8π cm^3 and the height 2 cm. Cylinder B is a similar shape with a volume of 216 cm^3. i) find the linear scale factor. ii) find the surface area of cylinder B

i) Linear scale factor cubed = volume scale factor = V_B/V_A= 216π/8π = 27 LSF³=27 LSF = 3 ii...

Answered by Jacob K. • Maths tutor

3694 Views

The function f is defined as f(x) = e^(x-4). Find the inverse of f and state its domain.

Firstly, we let y=f(x) so that y=e^x-4. The aim of this question is to find the inverse of y=f(x), and in order to do that, we must rearrange the question so that x becomes the subject of the eq...

Answered by Rutwik K. • Maths tutor

9613 Views