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:
![y = 67.5\,mm - 2\cdot (1\,mm)](https://tex.z-dn.net/?f=y%20%3D%2067.5%5C%2Cmm%20-%202%5Ccdot%20%281%5C%2Cmm%29)
![y = 65.5\,mm](https://tex.z-dn.net/?f=y%20%3D%2065.5%5C%2Cmm)
The lower bound of the measurement is 65.5 millimeters.
We kindly invite to check this question on measurements: brainly.com/question/4205362
Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
It is
![24x - 30](https://tex.z-dn.net/?f=24x%20-%2030)
The equation for area of a trapezoid is
![\frac{1}{2} (a + b) \times h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%28a%20%2B%20b%29%20%5Ctimes%20h)
Substituting our values in
![\frac{1}{2} (3x + 7 + 5x - 3) \times 6](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%283x%20%2B%207%20%2B%205x%20-%203%29%20%5Ctimes%206)
We can then simplify the expression
![\frac{1}{2} (8x - 10) \times 6 \\ (4x - 5) \times 6 \\ 24x - 30](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%288x%20-%2010%29%20%5Ctimes%206%20%5C%5C%20%284x%20-%205%29%20%5Ctimes%206%20%5C%5C%2024x%20-%2030)
Sin is 5/13
We know tan = 5/12 the 5 is opposite 12 adjacent
Sin is opposite/hypotenuse. We know 5 is the opposite to find hypotenuse do pythogrean 5^2+12^2= 169 the sq rt of 169 is 13