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3 years ago

the coordinates of a pentagon ABCDE are A(-5,4),B (1,4),C(1,-1), D(-2,-5) and E(-5,-1) what is the perimeter of the pentagon

2 answers:

7 0

Perimeter is a continuous line forming the boundary of a closed geometrical figure. perimeter of a pentagon = AB+BC+CD+DE+EA (that is 5 sided figure)
so my plan is easy but effective, calculate all those distances using those coordinates with the aid of distance formular. then you add those distances algebraically .

Radda [10]3 years ago

6 0

Answer:

26 units

Step-by-step explanation:

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The members of the Student Activity Council on your campus are meeting to select three speakers for a month-long event celebrat

Komok [63]

The number of different ways that three speakers can be selected is 10 ways

Given the names of choice to be Ben, Will, Stewart, Hilary, and Kate. This means that we have a total of 5 name choices.

If the members of students activities are to select three speakers among these people, the number of ways this can be done is by using the combination rule as shown;

$nCr=\frac{n!}{(n-r)!r!}$

From the question, n = 5 and r = 3. On substituting

$5C3=\frac{5!}{(5-3)!3!}\\5C3=\frac{5!}{2!3!}\\5C3=\frac{5 \times 4 \times 3!}{2 \times 3!} \\5C3=\frac{20}{2}\\5C3 = 10 ways$

Hence the number of different ways that three speakers can be selected is 10 ways.

Learn more here: brainly.com/question/24145745

7 0

2 years ago

The amount of money in Nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are t

Elis [28]

Recursive formula is one way of solving an arithmetic sequence. It contains the initial term of a sequence and the implementing rule that serve as a pattern in finding the next terms. In the problem given, the 6th term is provided, therefore we can solve for the initial term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after deducting 50 (which supposedly is added).

Therefore, we perform the given formula: A (n) = 1.025(an-1) + 50
a(5) =1.025 (235.62) + 50 = 291.51

a(4) = 1.025 (181.09) + 50 = 235.62

a(3) = 1.025 (127.89) + 50 = 181.09

a(2) = 1.025 (75.99) + 50 = 127.89

a(1) = 1.025 (25.36) + 50 = 75.99

a(n) = 25.36

The terms before a(6) are indicated above, since a(6) is already given.

So, the correct answer is A. $25.36, $75.99.

3 0

2 years ago

At the airport, there is a moving walkaway 500 meters long, which moves at a speed of 4 km/hour. Aditya and Ravi step on the wal

Nutka1998 [239]

Answer:

He is approximately 166.6 m ahead of Ravi.

If it's right please mark BRAINLIEST

3 0

2 years ago

Read 2 more answers

Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectiv

Ulleksa [173]

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

Sum of all angles in the triangle is 180°. Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A = 90°

7 0

1 year ago

Write the first six terms of the sequence.

butalik [34]

Step-by-step explanation:

1st term = -n²+6

= -(1)²+6

= -1+6

2nd term = -(2)²+6

= -4+6 = 2

3rd term= -(3)²+6

=-9+6 = -3

4th term= -(4)²+6

= -16+6 = -10

5th term = -(5)²+6 = -25+6 = -19

6th term = -(6)²+6 = -36+6 = -30

5,2, -3,-10,-19, -30

optionB

6 0

2 years ago