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Yanka [14]
2 years ago
9

Find the number of permutations of the first eight letters of the alphabet taking four letters at a time.

Mathematics
1 answer:
polet [3.4K]2 years ago
3 0
The number of permutations of 8 different things taken 4 at a time is given by:
8C4=\frac{8!}{(8-4)!}=8\times7\times6\times5=1680
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If triangle FGH, FG=8.7, FH=4.5 and GH=6.1, Which is the smallest angle of the triangle
jolli1 [7]

∠G is the shortest

Step-by-step explanation:

Given is a ΔFGH

FG = 8.7

FH = 4.5

GH = 6.1

The triangle will be formed with three angles

F, G and H

"The side opposite to the largest angle of the triangle is the largest"

Similarly, The side opposite to the shortest angle is the shortest.

Converse of this postulate will be:

The interior angle opposite to the shortest side of the triangle is the smallest.

The triangle formed is attached in the form of a picture.

The angle opposite to FH will be the shortest.

Hence,

∠G is the shortest

Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/7128279
  • brainly.com/question/702593

#LearnwithBrainly

7 0
3 years ago
Brielle and Joshua are running a half marathon race, which is 13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles and
CaHeK987 [17]

Answer: Brielle will run the marathon faster.

Brielle = 104.8 minutes  

Joshua = 157.2 minutes

Step-by-step explanation:

Speed rate = distance /time

Brielle = 1.25 /10 = 0.125 miles per minute

Joshua = 1.5/18 = 0.083333 =1/12 miles per minute

Since 0.125 (Brielle) > 1/12 (Joshua)

Brielle will run the marathon faster.

To calculate the time that takes each one to run the entire race (13.1 miles)

Time= distance / speed

  • Brielle = 13.1 /0.125 = 104.8 minutes
  • Joshua = 13.1 / (1/12)= 157.2 minutes

Feel free to ask for more if needed or if you did not understand something.

8 0
2 years ago
An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide is completely filled with water. The density of water is 1,0
notsponge [240]

Answer:

Step-by-step explanation:

4 0
2 years ago
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What mul
Vitek1552 [10]

P(1) = P(0) [exp (rt)]
9,800 = 10,000 (0.98)^1

r = loge<span> (0.98)  = ln (0.98) = -0.0202
</span>
<span>P(t) = P(0)[exp(-0.0202t)]</span>
3 0
3 years ago
Read 2 more answers
Find the area of the figure below​
horrorfan [7]

Answer:

99cm^{2}

Step-by-step explanation:

12x4=48

12x3=36

12-4-5=3

3x5=15

48+36+15=99

5 0
2 years ago
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