Answer:
Resultant force will act on 65° N of W.
Step-by-step explanation:
As given in the question one bulldozer exerts force of 1250 pounds in western direction and 2650 pounds in northern direction and we have to find angle A which is an angle between 1250 pounds of force and resultant force F.
Therefore tan A= Force on North direction/ Force on west direction = 2650/1250 = 2.12
⇒
A = 64.75
A = 65° North of west.
This is easy, since there aren't many positive two digit integers under 25.
Just go through and check each one!
10 - not divisible by 0.
11 - divisible
12 - divisible
13 - not divisible by 3.
14 - not divisible by 4.
15 - divisible
16 - not divisible by 6.
17 - not divisible by 7.
18 - not divisible by 8.
19 - not divisible by 9.
20 - not divisible by 0.
21 - not divisible by 2.
22 - divisible
23 - not divisible by 2 or 3.
24 - divisible
To sum it up, the numbers 11, 12, 15, 22, and 24 are divisible by each of their digits.
Hope this helps (and your fortune is "Good things will come your way if you keep eating pizza.")!
If you take away the 0s you can multiply 8 and 3. sooooo
3x8=24
Answer:
See below
Step-by-step explanation:
<h3>Continuation of the question</h3>
<u>Data in the table:</u>
<u>PH 4 5 6 7 8 9 10 11 </u>
<u>Bacteria 116 120 131 136 141 151 148 163</u>
- <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>
<em>See attached for scatter plot</em>
We can see the chart is close to linear function. Let's build one based on data in the table
<u>The line will be in the form of:</u>
<u>If we use two points and get the equation</u>
<u>Finding the slope:</u>
- m = (141-116)/(8-4) = 25/4 = 6.25
<u>Then, finding y-intercept:</u>
- 116 = 6.25*4 + b
- b = 116 - 25 = 91
<u>So the line is:</u>
<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>
The center is at (h,k).
this is the standard equation of a circle. r is the radius