Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.
<h3>What is the Cosine Ratio?</h3>
The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.
Using the cosine ratio, we have:
cos C = 2/9
C = cos^(-1)(2/9)
C ≈ 77 degrees.
Learn more about the cosine ratio on:
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Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
Answer:
3.4594
Step-by-step explanation:
To change the base of a logarithm
•
x = 
where c represents the new base
Changing the base from 2 to 10
11 =
≈ 3.4594
Answer:

Step-by-step explanation:
Given
Required
The total length in metres (this completes the question)
The total length is:

Convert mm to m



<em>The total length of the wood is 9.65 metres</em>