Not sure why, but I wasn't able to post my solution as text, so I've written it elsewhere and am posting screenshots of it here.
In the fifth attachment, the first solution is shown above the second one.
Answer:
Below in bold.
Step-by-step explanation:
(a) Using the Pythagoras theorem:
30^2 = 21^2 + p^2
p^2 = 30^2 - 21^2 = 459
p = √459
= 21.4 cm to nearest tenth.
(b) cos P = 21/30 = 0.70
m < P = 45.57 degrees to nearest hundredth.
Answer:
If the variable is x, then they have x + 5 toffees altogether.
Step-by-step explanation:
There is no way to find x as it is an unknown number. "5 more than" simply means that you add 5 to x.
Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Answer:
b then a
Step-by-step explanation: