The speed limit on a highway is 55 mph. A speed sensor showed that a car went 900 ft in 8 s. Is the car traveling over the speed
1 answer:
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Answer:
a) 7a/8; b) 5a/8
Step-by-step explanation:
Given:
AP = 2PQ = 2QB
Calculations:
1. A to the midpoint of QB
a = AP + PQ + QB
If 2PQ = 2QB.
PQ = QB and
AP = 2PQ
∴ a = 2PQ + 2PQ = 4PQ
PQ = a/4
AP = 2PQ = a/2
Let M be the midpoint of QB.
AM = AP + PQ + QM
= a/2 + a/4 + a/8
= 7a/8
2. Midpoints of AP and QB
Let N be the midpoint of AP
NM = NP + PQ + QM
= a/4 +a/4 + a/8 =
= 5a/8
Answer:
The answer to your question is x = 8.69 cm
Step-by-step explanation:
From the image we can conclude that this is a right triangle, so we must use trigonometric functions to solve it.
Data
hypotenuse = x = ?
Adjacent side = 8 cm
Ф = 23°
Process
1.- We must use the trigonometric function cosine to solve this problem.
Cos Ф =
2.- Solve it for hypotenuse
hypotenuse x cos Ф = Adjacent side
hypotenuse = Adjacent side / cos Ф
3.- Substitution
hypotenuse = 8 / cos 23°
3.- Simplify and result
hypotenuse = 8 / 0.9205
hypotenuse = x = 8.69 cm