All categories

3 years ago

Please explain The Four Color Theorem and list 1 example

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Answer:

The Four Color Theorem, or the Four Color Map Theorem, in its simplest form, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. As promised, that's a theorem any elementary-level student can grasp.

Step-by-step explanation:

You might be interested in

In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.

OLga [1]

Answer:

182 ft

Step-by-step explanation:

When you are not given a diagram, always draw one for yourself (see diagram).

When you have a right triangle (triangle with 90° angle), you can use the trigonometry ratios, You can remember them using SohCahToa. It is read like this:

sinθ = opposite/hypotenuse Soh

cosθ = adjacent/hypotenuse Cah

tanθ = opposite/adjacent Toa

"θ" means the angle of reference (the angle you are talking about).

We are looking for the length of BC, which is the hypotenuse. I labelled it "d" (lowercase D) because it is opposite to ∠D.

We know ∠C = 77°. This will be our angle of reference (replace θ).

The side we know is DC, also known as "b" (lowercase B) because it's opposite to ∠B. "b" is the adjacent side when θ = C because "b" is touching ∠C.

Take the general trig. formula that has hypotenuse and adjacent: (cosine ratio)

cosθ = adjacent/hypotenuse

Substitute the variables specific for this problem.

cosC = b/d

Substitute the values you know.

cos77° = (41 ft) / d

Isolate "d" to the left side

dcos77° = $d*\frac{41ft}{d}$ Multiply both sides by "d"

dcos77° = 41 ft

dcos77° / cos77° = 41 ft / cos77° Divide both sides by cos77°

d = 41 ft / cos77° Input into calculator

d = 182.261874....... ft Unrounded answer

d ≈ 182 ft Rounded to nearest foot (whole number)

Remember d = BC. It's often easier to use one letter for calculations.

Therefore the length of BC is about 182 feet.

8 0

3 years ago

Ann:my number has two periods.one contains the digits 4,1,and 8 in that order.the other contains the digit 9.

GarryVolchara [31]

The Decimal number system has following rules.

Suppose you have to write a number 4,567,892 .

2 -ones - (first period)

9-tens - (first period)

8-hundreds - (first period)

7-thousands - (second period)

6-ten thousand- (second period)

5-hundred thousand- (second period)

4-million- (third period)

then comes ten million,hundred million and then Billion.

If a number is given you have to apply commas from left to right after every three places.

So, your number is 9,418.

8-first period

1--first period

4--first period

9- second period

8 0

3 years ago

Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.

n200080 [17]

Question Continuation:

Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.

Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.

Answer:

$y = \frac{15}{8}\ lb$

Step-by-step explanation:

Given

Weight of Tomato = 3 lb

Used Proportion = 5/8

Required

Determine the portion used

To solve this we simply multiply the used proportion by the weight of the tomato bought

Represent the used portion with y.

So:

$y = Weight * Used\ Proportion$

$y = 3\ lb * \frac{5}{8}$

$y = \frac{15}{8}\ lb$

4 0

2 years ago

Please help me plzzzzzz

erma4kov [3.2K]

Answer:

976 square cm

Step-by-step explanation:

Area of one 2d triangle face: (24*14)/2=168 square cm

Area of both 2d triangles faces: 168 + 168 =336 square cm

Area of one side: 25*10=250 square cm

Area of both sides: 250+250=500

Area of base: 14*10=140 (since it's a triangular prism, there's only one base)

Surface Area: 336+500+140=976 square cm

Hope this helps! :)

3 0

3 years ago

2. The point (0.28, 0.96) lies on the unit circle. Which of the following is closest to the tangent of an angle

vlada-n [284]

Answer:

(1) 3.43

Step-by-step explanation:

tan θ = y / x

tan θ = 0.96 / 0.28

tan θ = 3.43

7 0

3 years ago