Answer:
Step-by-step explanation:
<h3>Given</h3>
- Θ= 168°
- t = 0.28 sec
- r = 3 mm
<h3>To find </h3>
<h3>Solution</h3>
<em>Formula for linear velocity</em>
<u>Converting the angle measure from degrees to radians</u>
- 168° = 168*π/180 = 168*3.14/180 = 2.93
<u>Substituting values</u>
- v = 2.93*3/0.28 mm/sec =
- 31.39 mm/sec =
- 0.03 m/sec rounded to nearest hundredths
Answer:
10 and 10
Step-by-step explanation:
So for the first one, 1-(-9), the two subtraction signs cancel each other out and are turned into an addition symbol. The new equation would now be the absolute value of 1 + 9. As we know, 1 + 9 is 10, and the absolute value of 10 is 10. <u>The absolute value just means how many spaces the number is away from 0, and it will always be positive.</u>
<u></u>
For the second one, -9 -1 would equal -10. Even though -10 is negative, the absolute value will always be positive, so<u> the absolute value of the second one is also 10.</u>
<u></u>
Hope this helps and let me know about any questions!
Answer:

Step-by-step explanation:
The volume of a cuboid can be determined simply by the formula: V= LWH
(where: L is length, H is height and W is width).
In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:
<u>Area:</u>
Base:
×
Roof:
×
Side:
×
(we have considered all four sides)
<u>Cost:</u>
Base: 4
Roof: 2
Side: 
Total cost:
4
+ 2
+ 10
= 450
We simplify this equation further:
6
+ 10<em>HL </em>= 450
10HL = 450 - 6
We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:
substituting
in
:
× 
Simplifying it further:
× 
is the final answer.
Answer:
0.416 au
Step-by-step explanation:
Let y1=8sin(x) and y2=8cos(x), we must find the area between y1 and y2

Use the midpoint formula:
(-7,-4) (-1,8)
(-7 + -1) /2 , (-4 +8) /2
-8/2 , 4/2
Midpoint = (-4,2)