A construction company is analyzing which of its older projects need renovation. Building B was built two years before building
1 answer:
The inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
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We have building B was built two years before building C.
The age of C is represented by x
Age of Building B:
b = x + 2
Building D was built two years before building B
Age of Building d= x+4
The product of the building B’s age and building D’s age is at least 195.
b×d ≥ 195
(x+ 2)(x+4) ≥ 195
After solving we get:
x²+ 6x +8 ≥ 195
Thus, the inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.
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Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.
PR =
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
