Answer:
x = 0.6623
y = 8
Image is attached for refernce of my solution
Step-by-step explanation:
In Δ DEF
By applying pythagoras theoram,
DE = 
=
∴ DE = 8
In Δ ABC
BC = y = 12 sin 30° = 6
AC =
+ DE + x =
+ 8 + x = 12 cos 30°
⇒ 9.73 + x = 10.39
<h3>⇒ x = 0.6623</h3>
Answer:
y - 5 = 1/3(x - 0)
Step-by-step explanation:
the formula for point-slope form is y2 - y1 = m(x2 - x1), where m is the slope, y1 is the y coordinate and x1 is the x coordinate
so just plug in the values into the equation:
y - 5 = 1/3(x - 0)
if you want it in slope-intercept form, the formula is: y = mx+b, where mx is the slope and b is the y intercept. it would look like the following:
y = 1/3x + 5
Answer:
The answer is 4th point
Step-by-step explanation:
√5(10 - 4√2)
= (√5×10)-(√5×4√2)
= 10√5 - 4√10
5. a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse
7^2 + 10^2 = c^2
49 + 100 =c^2
149 = c^2....take square root of both sides, eliminating the ^2
sq rt 149 = c
12.21 = c.....so the approximate length of 3rd side is 12 m
6. x = number of books bought
7. m < 2 + m < 8 = 180
8. 1000 = 400 + 24x
1000 - 400 = 24x
600 = 24x
600/24 = x
25 = x <=== 25 months he will have spent $ 1000