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Dovator [93]
3 years ago
11

17) List the ways five dogs a Beagle, a Collie, a Greyhound, a Poodle and a

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Answer:

  • <u>10 pairs</u>
  • <u>It is a combination</u>

<u></u>

Explanation:

This is a combination because the order does not matter: the Beagle - Collie couple is the same as the Collie - Beagle couple, so it is only counted once.

The formula for combinations is:

           C(m,n)=\dfrac{m!}{n!\cdot (m-n)!}

For five diffferent dogs to be put in pairs, the number of different pairs is:

         C(5,2)=\dfrac{5!}{2!\cdot (5-2)!}=\dfrac{5\times 4}{2}=10

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A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those
Sonja [21]

The two stadiums are 2,871 meters

A blimp    = point A

stadium 1  = point B

stadium 2 = point C

height of the blimp ,  AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums  = d

So, it forms 2 triangles  ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

     = 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

    = 2,871 meters

To learn more about angle of depression from the given link

brainly.com/question/9723082

#SPJ4

5 0
2 years ago
1. Factor the poynomial into linear irreducible factors.
svetlana [45]
B.) f(x)=(x^2-3)^2

a.) f(x)= (x^2+6)(x^2+5)
7 0
3 years ago
Could some help me thanks
dezoksy [38]

You are given 2/3 angles to solve for x;

24+56 = 90

90 + x = 180

x = 90 degrees

3 0
3 years ago
Sharon is conducting research on two species of birds at a bird sanctuary. The number of birds of species A is represented by th
e-lub [12.9K]

Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.


Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=2^x+12

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=15x+35

To plot the above function, first find points by which they are passing.

For species A, At x=0 , S=1+12=13

At x=2 , S=2+12=14

Similarly find more points and plot curve on graph.

For species A, At x=0 , S=0+35=35

At x=2 , S=15+35=50

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.



8 0
2 years ago
Read 2 more answers
Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?
laiz [17]

Answer:

The product of a non-zero rational number and an irrational number is irrational.

7 0
2 years ago
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