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Find the angle z in the following triangle.

< RIght angled triangle with sides of length 8mm, 5mm and h. Unknown angle z denoted.Use SOH CAH TOA in trigonometry to label the triangle accordingly, then find that 'tan' is to be used. Finally, use the...
AQ
Answered by Abul Qasim A. • Maths tutor
3563 Views

James is 7 years older than Kate. Sam is twice as old as James. The sum of their ages is 77. Find the ratio of Kate's age to James' age to Sam's age.

Kate's age = xJames age = x + 7 Sam's age = 2x + 14sum of age = 77 Therefore x + x+7 + 2x+14 = 774x + 21 = 77 4x = 56 x= 14 ratio = 14:21:42
DB
Answered by Danial B. • Maths tutor
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The equation of Line 1 is y=2x-2 and the equation of Line 2 is 2y-4x+5=0. Prove that these 2 lines are parallel to each other.

In order for 2 lines to be parallel, they must have the same gradient. As such, the first thing we should do is rearrange these equations in the form of y=mx+c, where m is the gradient and c is the y-interce...
DS
Answered by Darsh S. • Maths tutor
4420 Views

What are the external angles of a regular hexagon?

(A diagram would be used to show what the external angles are)For any regular shape the external angles add up to 360 degrees. The external angles will all be equal since we are dealing with a regular shape....
HB
Answered by Hannah B. • Maths tutor
7327 Views

Solve the equations y = x + 1 and y = x^2 - 3x + 4 simultaneously.

The first step is to identify that the first equation is linear and the second equation is a quadratic as indicated by the x squared term. Next, take the first linear equation and substitute for y in the sec...
EI
Answered by Emily I. • Maths tutor
10638 Views