Answer:
all work is pictured and shown
The maximum number of regions possible using eight lines will be 64 regions.
<h3>How to get the value?</h3>
From the information given, one line divides a plane into two regions, two lines can divide a plane into at most four regions. The relationship her is that the square of the number is given.
Therefore, the number of regions will be:
= 8²
= 8 × 8
= 64 regions
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Answer:
29 m
Step-by-step explanation:
The dashes mean that the lines are equal in length, so from this we can determine that the area marked 441 m² is a square.
Area of a square = x², where x is the length of 1 side.
Therefore, x = √441 = 21 m
Now we have a right-angled triangle with two legs of 20 m and 21 m. We need to find the hypotenuse (labelled ?). To do this, use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse.
Therefore,
20² + 21² = c²
⇒ 400 + 441 = c²
⇒ 841 = c²
⇒ c = √841
⇒ c = 29
So the side marked ? on the diagram is 29
Answer:
A geometric sequence is an ordered list of numbers in which each term after the ... By utilizing the common ratio and the first term of a geometric sequence, we can sum ... His method was to dissect the area into an infinite number of triangles.
Step-by-step explanation:
easy
<span>Vr = L * W * h = 8 * 4 * 2.25 = 14.22 in^3 = Volume of rectangle
Vc = L * W * h = 0.25 * 0.25 * 0.25 = (0.25)^3 = 0.0156 in^3 = Volume of cube
Vr / Vc = 14.22in^3 / 0.0156in^3 = 910 cubes910 cubes are needed to fill the rectangular prism.
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