Q5. Calculate the area and perimeter of the given shape with radius 14 cm.
1 answer:
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Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:
Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
<u><em>3118=61*x</em></u>
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:
51.11 seconds=x
<u><em> The amount of time the roller coaster is in motion is 51.11 seconds.</em></u>
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) =
=
=
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) =
=
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) =
sin(Z) =
Picture 4
In right triangle DEF,
Cos(D) =
=
=
=
Picture 5
In ΔABC,
tan(63°) =
tan(63°) =
AB =
AB =
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.