Answer:
a) 8 x 10^3 or 8000
b) 8 x 10^-2 or .08
Explanation: Refer to a guide on rounding sig figs
<h3>
Answer: 0.432</h3>
======================================================
Explanation:
There are 8+11 = 19 movies that are either horror or mystery.
This is out of 9+12+8+11+4 = 44 movies total.
Divide the two sums to get 19/44 = 0.43181818181818 approximately.
This rounds to 0.432
There's roughly a 43.2% chance of picking a horror or mystery movie.
<h2>Volume of Sphere</h2>
1. What is the radius of the stone sphere?
- To know what is the radius divide is by 2.
Therefore, the radius of the stone sphere is 3in
2. What is the volume of the stone sphere?
- Using the formula in finding the Volume of Sphere 
to get the answer. Where the volume of the sphere is 
multiplied by the cube of the radius.
Therefore, the volume of the stone sphere is 113.04in³
3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.
- Using the formula in finding the Volume of Sphere to get the answer. Where the volume of the sphere is multiplied by the cube of the radius.
<h3>Explanation</h3>
Therefore, the volume of the stone sphere is 523.33in³
<h3>#CarryOnLearning</h3>
Answer:
The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
We know that P = 34cm
34 = 6*w + 10
Subtract 10 from both sides
24 = 6 * w
Divide both sides by 6
4 = w
Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.
l = 2*4 + 5
l = 8 + 5
l = 13
The dimensions of the rectangle is 13cm x 4cm
