The number of possible different 12-letter arrangements of the letters in the word “TRIGONOMETRY” is represented by

Answers

Answer 1

Answer: We will use formula for Permutations with repetition:
P(n, m1,m2,m3) = n! / m1! · m2! · m3!
In the word TRIGONOMETRY we have repetitions of letters: T, R and O.
P= $(12!)/(2!*2!*2!)= (12*11*10*9*8*7*6*5*4*3*2*1)/(2*1*2*1*2*1) =$ = 59,875,200

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Why is h²=p²+b²plz somebody help me

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²

☺ ANSWER THIS MATH QUESTION FOR ME ☺
IGNORE THE ALREADY SELECTED ANSWER CHOICE !

Answers

Answer:

D, x = 7

Step-by-step explanation:

This is essentially a transformed square root function

√(30-2x) - x can be rewritten as -x + √-2(x - 15)

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.8/9
1.8
2

Answers

2

Working
The nth term of an arithmetic series is calculated using the formula
nth term= a+ (n-1) d
a= -5, n =10 and nth term in this case is 13
Thus
13= -5 +(10-1)d
13= -5+9d
9d= 18
d = 2

Answer:

Step-by-step explanation:

Working

The nth term of an arithmetic series is calculated using the formula

nth term= a+ (n-1) d

a= -5, n =10 and nth term in this case is 13

Thus

13= -5 +(10-1)d

13= -5+9d

9d= 18

d = 2

19. Lavina wants to buy a rocking chair for $160. She will pay 10% down and pay the rest in six monthly installments. What will be the amount of each monthly payment?A. $26
B. $27
C. $24
D. $16

20. The ratio of an object's weight on Earth to its weight on Neptune is 5 : 7. How much would a person who weighs 150 pounds on Earth weigh on Neptune?
A. 750 pounds
B. 107 1/7 pounds
C. 210 pounds
D. 170 pounds

Answers

number 19

price :$16
pay :10%
ask:each monthly payment
answer:
pay =10%×$160=$16
each monthly payment
={$160-$16}÷6
144÷6
$24
number 20
weight earth:150 pounds
ratio :5:7
weight neptune :7/5×150=210 pounds

Solve by the multiplication of equality 5/49*x = 20/7

Answers

5/49(x) = 20/7
5x/49 = 20/7
5x/49 × 49  = 20/7 × 49
5x  = 140
5x / 5  = 140 / 5
x = 28

You are building a rectangular deck. The area of the deck should be 250 ft.² . You want the lengths of the deck to be 5 feet longer than twice its width. What should the dimensions of the deck be?

Answers

et the width be x
"the length of the deck to be 5 ft longer than twice its width" --- >length = 2x+5

then
x(2x+5) = 250
2x^2 + 5x - 250 = 0
(x - 10)(2x + 25) = 0
x = 10 or x is a negative, which makes no sense

width = 10
length = 25

check:
is the length 5 more than twice the width ?? yes
is the area 250 ? yes

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