Answer:
<h2>a) |-13 - (-4)|</h2>
Step-by-step explanation:
The formula of a distance between two points (numbers) A and B on the number line:
d = |B - A| = |A - B|
We have A = -13 and B = -4. Substitute:
d = |-13 - (-4)|
Numbers with 3 divider are squares of primes<span>.</span>
<span>2^2 = 4. Div: 1, 2, 4;</span>
<span>3^3 = 9. Div: 1, 3, 9;</span>
<span>4^4 = 16. Div: 1, 4, 16;</span>
<span>5^5 = 25. Div: 1, 5, 25;</span>
<span>e.t.c.</span>
Round to the nearest fraction and find a number to divid that go into the top and bottom number
Answer:
m = 0.956
Step-by-step explanation:
Yes, you are doing it correctly.
![\begin{array}{rcll}\log(0.00786391)&= & m \times\log(0.0063)&\\\\m & = & \dfrac{\log(0.00786391)}{ \log(0.0063)} & \text{Divided each side by log(0.0063)}\\\\& = & \dfrac{-2.104361}{-2.20} & \text{Took the logarithms}\\\\& = & \mathbf{0.956} &\text{Did the division}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D%5Clog%280.00786391%29%26%3D%20%26%20m%20%5Ctimes%5Clog%280.0063%29%26%5C%5C%5C%5Cm%20%26%20%3D%20%26%20%5Cdfrac%7B%5Clog%280.00786391%29%7D%7B%20%5Clog%280.0063%29%7D%20%26%20%5Ctext%7BDivided%20each%20side%20by%20log%280.0063%29%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cdfrac%7B-2.104361%7D%7B-2.20%7D%20%26%20%5Ctext%7BTook%20the%20logarithms%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cmathbf%7B0.956%7D%20%26%5Ctext%7BDid%20the%20division%7D%5C%5C%5Cend%7Barray%7D)
Answer:
Length of shadow = 49.07 feet
Step-by-step explanation:
We have given,
Height of building, AB = 25 feet
Length of shadow be BC.
Angle of the shadow opposite to the building = 27°
Using trigonometric function tan function
tan( 27 ) = ![\frac{AB}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BBC%7D)
or BC = ![\frac{AB}{tan(27)}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7Btan%2827%29%7D)
or BC = 49.07 feet
So, length of shadow , BC = 49.07 feet