A beach ball is a sphere, so we will need to know how to find the volume of a sphere.
V=4π(r³/3)
We have the diameter, but not the radius. To find the radius, it is half of the diameter.
10÷2=5
Now let's plug it in.
4π(5³/3)
Let's solve.
4π= 12.56
5³= 125
125÷3= 41.67 (repeating 6)
41.67×12.56= 523.3752
523.33 cubic inches is the volume of air contained inside the beach ball. The reason I picked that answer is because we rounded up to 41.67, when there was a repeating 6. So we should expect for the answer to be a couple decimals lower from the answer we got.
Tell me if this helps!!
<h2>
Dilations and Scale Factors</h2>
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
<h2>Solving the Question</h2>
We're given:
- Original side length is 2.5 units
- Scale factor = 6
Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
<h2>Answer</h2>
15 units
The perimeter of a rectangle is 2(w+l)
We can find the lengths by setting the equation equal to 12.
12=2(w+l)
12÷2=(2(w+l))÷2
6=w+l
6=1+5
6=2+4
6=3+3
These are the lengths of the sides of three rectangles with a perimeter of 12 units.
You're probably wondering why the third one has two of the same number, because that's usually how the lengths of sides of squares are, not rectangles.
Well, there's this wonderful thing about the rules of shapes.
<em>Squares ARE rectangles.
</em>Because they follow the rules for a rectangle, squares are also classified as rectangles.
So, the rectangle side lengths are as follows:
1 unit by 5 units
2 units by 4 units
3 units by 3 units
<em />
Answer:
Step-by-step explanation:
rational
Answer:
83422.5 grass seeds
Step-by-step explanation:
Applying,
A = 1/2bh....................... Equation 1
Where A = Area of the Triangle, b = base, h = height.
But, from the diagram,
tanФ = 20/b
b = 20/tanФ.................. Equation 2
Substitute equation 2 into equation 1
A = 1/2(20/tanФ)(h)................ Equation 3
Given: h = 20 m, Ф = 40°
Substitute these values into equation 3
A = 1/2(20×20)/tan40°
A = 200/tan40°
A = 238.35 m²
If the seed company recommends planting approximately 350 grass seeds per square meter,
Therefore,
Number of grass seed need = (350×238.35)
Number of grass seed needed = 83422.5 grass seeds
