Answer:
my answer would be that
x = 17.91cm
(i'm not sure about it either but it's worth a try) !!
Step-by-step explanation:
so first off, using the equation given,
" c² = a² + b² — 2ab cos C "
we substitute the values in as,
a = 16
b = 30
then for C is the angle given, which is 30°
so the equation is now,
c² = (16)² + (30)² — 2(16)(30) cos 30°
now, you solve the two squared numbers and the back equation, also known as " 2ab cos C " with your scientific calculator.
so it now equals to,
c² = 256 + 900 — 960(0.87)
c² = 320.8
at last, when you have " c² = 320.8 " ,
remember to square root the answer so you have a smaller value.
so,
c equals to

your final answer for the x value will be 17.91
(i hope this helps!)
Greatest common factor is 1 for the first one and the second one is also 1
Answer:
see attached image
Step-by-step explanation:
F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.
this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5
so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph
and
g(x) = (x-5)/2 is its inverse and is found:
F(x) = 2x + 5 write it this way y = 2x + 5
now swap the x and y x = 2y - 5
solve for y
x = 2y + 5
- 5 -5
x - 5 = 2y
/2 /2
(x-5)/2 = y
it can be written as y = x/2 - 5/2
and graphed the same way as above with a 1/2 slope and -5/2 y intercept
It would be: 420 + (420 * 17.5%)
= 420 + (420 * 0.175) [ 17.5% = 0.175 ]
= 420 + 73.5
= 493.5
In short, Your Answer would be <span>£493.5
Hope this helps!</span>
Answer:
congruent
Step-by-step explanation: