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romanna [79]
3 years ago
12

#2 & #3 with answer and explanation please??????

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:

KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)

3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:

AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)

AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)


;
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Find the area of a segment of a circle if its arc is 120 degrees and the radius is 3 inches.
Montano1993 [528]

Answer:<u> 9.42 inches</u>, 3π in terms of pi

Step-by-step explanation:

A full circle is 360 degrees, so if the segment has an arc of 120 degrees, it is 1/3 of a regular circle.

To find the area of a circle, we use the equation A = πr^2. In this case, we will divide the equation by 3 because we are only finding 1/ of a circle. So, our equation will be A  = (πr^2)/3.

Using 3.14 for π:

A  = (πr^2)/3.

A = (π3^2)/3

A = (π9)/3

A = 3π

A = 9.42

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2 years ago
Which one has a greater value, , -7 + (-7) or -7 - (-7)? Explain your answer. GIVING BRAINLIEST!!!
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How to find the answer to0.291×0.34
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The number of ancestors in different generations of a male honeybee follow a Fibonacci sequence in five generations of male hone
Stolb23 [73]
In generation 8 it would have 34 relatives, and in generation 9 it would have 55 relatives.

In the Fibonacci sequence, each term is found by adding the two previous terms together.  For generation 8, we would add generation 7 (21) and generation 6 (13); 21+13 = 34.  For generation 9, we would add generation 8 (34) and generation 7 (21); 34 + 21 = 55.
8 0
3 years ago
B. The school prom committee sold presale tickets for
Ivan

Answer:

218 students purchased tickets at the dance.

Step-by-step explanation:

Let,

x be the number of presale tickets

y be the number of tickets sold at the dance

According to given statement;

x+y=334      Eqn 1

18x+24y=7320    Eqn 2

Multiplying Eqn 1 by 18

18(x+y=334)

18x+18y=6012      Eqn 3

Subtracting Eqn 3 from Eqn 2

(18x+24y)-(18x+18y)=7320-6012

18x+24y-18x-18y=1308

6y=1308

\frac{6y}{6}=\frac{1308}{6}\\y=218

Therefore,

218 students purchased tickets at the dance.

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3 years ago
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