Answer:
QH = 227.8 km ≅ 228 km
Step-by-step explanation:
∵ The bearing from H to P is 084°
∵ The bearing from P to Q is 210°
∵ The distance from H to P = 340 km
∵ The distance from P to Q = 160 km
∴ The angle between 340 and 160 = 360 - 210 - (180 - 84) = 54°
( 180 - 84) ⇒ interior supplementary
By using cos Rule:
(QH)² = (PH)² + (PQ)² - 2(PH)(PQ)cos∠HPQ
(QH)² = 340² + 160² - 2(340)(160)cos(54) = 51904.965
∴ QH = 227.8 km ≅ 228 km
Newton discovered that sunlight has many colors when it passes through a prism.
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Answer:
See below
Step-by-step explanation:
Given function is ,
=> f(x) = 4x + 7.
Replace f(x) with y ,
=> y = 4x + 7
For finding the inverse , interchange x and y ,
=> x = 4y + 7
Now solve for y ,
=> 4y = x - 7
=> y = x-7/4
Replace y with f-¹(x) ,
=> f-¹(x) = (x-7)/4
These are the required steps .
Answer:
x = 7
Step-by-step explanation:
Start by solving for 
which is a common expression for both equations. Then in the first equation:
and in the second equation:
Now we make the two expressions equal so we get:
Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
