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never [62]
3 years ago
13

How many ways can you make a 3-letter arrangement out of the letters in the word TRAPEZOID? This is a (permutation or combinatio

n.) There are ways to make 3-letter arrangements.
Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

Permutation

504 ways

Step-by-step explanation:

The difference between combinations and permutations is ordering. With permutations we DO care about the order of the elements, whereas with combinations we don't.

In your graphing calculator, type

nPr(9,3)

(9 letters in trapezoid, 3 letter combos)

and it returns 504.

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Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

4 0
2 years ago
Write the word sentence as an equation.
Mrrafil [7]

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

3 0
3 years ago
A cheetah runs at a rate of 75 miles per hour about how many leaders can it run in 5 seconds​
umka21 [38]

Answer:

Distance in meters D = 167.75 meters

Step-by-step explanation:

Distance covered in 5 seconds is given by:

Distance, D = Speed (S) X Time (T)

Where,

Distance = ?

Speed = 75mph

Time = 5s

Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second

75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s

            = (75X1000) / (0.621X60X60) meter per second

            = 75000/2235.6 meter per second

            = 33.55 meter per second

∴ Distance D = 33.55 meter per second X 5 seconds

                      = 167.75 meters

3 0
2 years ago
Find the value of X. Round to the nearest tenth HELP ASAP!!!!
ZanzabumX [31]

Answer: 22.5

Step-by-step explanation:

\sin 64^{\circ}=\frac{x}{25}\\\\x=25 \sin 64^{\circ}\\\\x \approx 22.5

7 0
1 year ago
What is the place value of the 3-digit in the number 11.321?
Karolina [17]

Answer:

30

Step-by-step explanation:

Since it is in the tens place. thank me please give me brainliest.

4 0
2 years ago
Read 2 more answers
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