Limitation: They may be more expensive and time consuming than lab experiments. Limitation: There is no control over extraneous variables that might bias the results. This makes it difficult for another researcher to replicate the study in exactly the same way.
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x
2.1 x
3.7
<h3>What are the
simplified mathematical expressions ?</h3>
Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x ) . (9.1 x )
= (8.6 x 9.1) x
= 78.26 x
= 7.8 x 10
(6.9 x ) . (4.8 x )
= 33.12 x
3.3 x
(3.7 x ) . (4.6 x ) ÷ (1.4 x ) . (5.7 x )
= 1.7 x 10 ÷ 8 x10²
0.21 x
2.1 x
(3.1 x ) . (5.3 x ) ÷ (7.3 x ) . (6.1 x ) = 3.7
To learn more about scientific notation, please check: brainly.com/question/25334755
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Define
Then
x₁ = cos(t) x₁(0) + sin(t) x₂(0)
x₂ = -sin(t) x₁(0) + cos(t) x₂(0)
Differentiate to obtain
x₁' = -sin(t) x₁(0) + cos(t) x₂(0)
x₂' = -cos(t) x₁(0) - sin(t) x₂(0)
That is,
Note that
Therefore
Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet