Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x = 
≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ = 
= 
Θ = 
( ) ≈ 21.8°
X + 2 > 3x - 8
subtract x from both sides
2 > 2x - 8
add 8 to both sides
10 > 2x
divide both sides by 2
5 > x
ANSWER: 5 > x
Hope this helps! :)
Hello there :-)
Total cost of job=retail price of goods+labor cost+overhead
Labor cost
15×2.5+8×1+5.25×(3÷4)
=49.44 this is labor cost
Overhead= labor cost×overhead rate
Overhead=49.44×0.75=37.08
Now find total cost of job
Total cost of job=125.50+49.44+37.08
=212.02....answer
Hope it helps
Answer:
translate horizontally 5 units left
Answer:
m = 2
n = 4
Step-by-step explanation:
Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:
3m + n = 10
multiply both sides by 2
6m + 2n = 20
now, in both of your equations you have 2n so you can add the two equations:
6m + 2n = 20
+ 5m - 2n = 2
11m = 22
divide both sides by 11
m = 2.
Now, plug this value into the original equation, 3m + n = 10:
3 * 2 + n = 10
6 + n = 10
subtract 6 from both sides
n = 4
