Answer:
8.4 (rounded to 1 dp)
Step-by-step explanation:
1) Identify the number of angles and sides given if you cannot use Pythagoras or SohCahToa.
2) You have 2 angles and 1 side, so you know you must use sine rule: <em>a </em>over sinA =<em> b </em>over sinB
<em>a</em> = side length, sin(A) = angle opposite side
<em>b</em> = side length, sin(B) = angle opposite side
3) This means:
13/sin(90) = x/sin(40)
4) rearrange for x:
x = 13/sin(90) * sin(40)
= 8.356...
5) Round to however many sig figs/dps they're asking for
Example: 1 dp
AB = 8.4
3 sig figs
AB = 8.36
Answer:
y = -1/4 x + 15.
Step-by-step explanation:
y = 4x - 2 has a slope of 4 ( = the coefficient of x).
The line at right angles to it will therefore of a slope of -1/4.
Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:
y - 14 = -1/4(x - 4)
y = -1/4x + 1 + 14
y = -1/4x + 15
For number seven i got 1974m
and for number eight i got 374.13
Answer:
x = -4
x = -6
Step-by-step explanation:
X^2+10x+24=0
(b/2)^2 = (10/2)^2 = 25
X^2+10x+25=-24+25
(x+5)^2 = 1
(x+5) = ± 1
x = +1 -5 = -4
x = -1 -5 = -6
