The lower bound of the measurement is 65.5 millimetres.
A centimetre equals 10 millimetres, a measure is expressed by the <em>measured</em> magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:
(1)
Where:
- Measured magnitude, in millimeters.
- Possible magnitude, in millimeters.
- Uncertainty, in millimeters.
If we know that 
and 
, then the lower bound of the measurement is:
The lower bound of the measurement is 65.5 millimeters.
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Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
The scale factor is 
<u>We can say that both circles are similar.</u>
Step-by-step explanation:
If we move the little circle to the center of the bigger circle, so the <u>translate vector will be (3,5).</u>
Now we realize that the bigger circle is just a dilation of the smaller circle, the<u> scale factor is:</u>
Therefore, <u>we can say that both circles are similiar.</u>
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I hope it helps you!
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
