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Gnom [1K]
3 years ago
15

A polygon has the following coordinates: A(-4,4), B(-1,1), C(-6,1). Find the length of BC.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Answer:

5

Step-by-step explanation:

|BC|=\sqrt{(X_c-X_b)^2+(Y_c-Y_b)^2} =\sqrt{25+0} =5.

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Which is a better deal, 5 tickets for $12.50 or 8 tickets for $20.16? Explain your reasoning. *
GenaCL600 [577]
First we have to see in both cases what is the cost of one ticket
in the fist case 12.5/5=2.5
in the second case 20.16/8=2.52
therefore 5 tickets for 12.5 is the better deal
3 0
2 years ago
Read 2 more answers
A grade has 81 girls and 72 boys. the grade is split into groups that have the same ratio of girls to boys as the whole grade. h
Arturiano [62]

Answer:

<u>There are 18 girls in a group that has 16 boys.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Number of girls in the grade = 81

Number of the boys in the grade = 72

Number of students in the grade = 81 + 72 = 153

2. Let's find the number of girls in a group that has 16 boys.

For getting that number we will use the Rule of three simple, this way:

Number of girls in a group that has 16 boys = (81 * 16)/72

Number of girls in a group that has 16 boys = 1,296 / 72

<u>Number of girls in a group that has 16 boys = 18</u>

<u>There are 18 girls in a group that has 16 boys.</u>

3 0
2 years ago
How many square feet of outdoor carpet will we need for this hole
Fed [463]

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

4 0
2 years ago
What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?
Sphinxa [80]

Answer:

{24, 18, 12, 6, 0} is the range of the above function

Step-by-step explanation:

solution:

let, x= -4

f(-2) = 12-3*(-2)

= 12+12

=24

let,x= -2

f(-2) = 12-3*(-2)

=12+6

18

let,x =0

f(0)= 12-3*0

=12-0

=12

let,x=2

f(2) = 12-3*2

=12-6

=6

let,x=4

f(4) = 12-3*4

=12-12

=0

4 0
3 years ago
The cost to ride a ferris wheel is $2.00 per person. The ferris a wheel has a capacity of
irakobra [83]

Answer:

When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)

In this case, we have a function M(p) = $2*p

This function represents the amount of money collected depending on the number of people who ride on the ferris whell.

Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).

And we also know that the maximum capacity of the ferris is 64 people.

Then:

p ≤ 64

And we also should add the restriction:

0 ≤ p ≤ 64

(Because p can't be smaller than zero)

Such that p should also be an integer, then, the domain is:

D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}

7 0
2 years ago
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