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Alisiya [41]
3 years ago
9

Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap​

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

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How do I write in standard form 700000 + 20000 + 4000 + 500 + 60 + 2
Inga [223]

All you have to do is just bring the numbers that are not zero from each digit.

so in this process, the answer you would get is 724,562.

I hope this helped


5 0
3 years ago
Read 2 more answers
Find the measures of the missing angles g, h, k, and m
Darina [25.2K]

Answer:

Angle g = 29 degrees

Angle h = 180-29 = 151 degrees

Angle k = 61 degrees

Angle m = 180 - 61 = 119 degrees

Step-by-step explanation:

6 0
3 years ago
I need help on this one, I’ll really appreciate your hard work! :)
Y_Kistochka [10]
I believe it’s 1 lol
5 0
3 years ago
................. plz let only deltaalex answer:) don’t trust anyone on here but them!
nevsk [136]

Answer:

Step-by-step explanation:

oh law of sines   soo  sin(A) / a = Sin(B) / b

2a)

here DE = side f   then let's find that side with law of sines and plug side f in as 'a' in law of sines , so

Sin(28) / a = Sin(54) / 31  ( where a = f = DE )

can you do the algebra here Emily?  or do you want me to show that?

Sin(28) *31 / Sin(54) = a

17.989 =a

18.0 =a       (rounded to nearest 10th)

DE = 18.0 m

2b)

find RT  where RT = side a

since they give use 2 of the other sides of the triangle we can quickly figure out the S angle.   180 = 71+62+S   so  S = 47°  ( I'm going kinda fast b/c I don't know how much time you have  :? )

then Sin(A) /a = Sin(B) / b

Sin(47) / a = Sin(62) / 29

Sin(47) *29 / Sin(62) = a

24.020 = a

RT = 24.0 meters  ( rounded to nearest 10th )

2c)

they want us to find ∠X with law of sines soo

I'll just use the letter they give us for variables

Sin(X) / x  = Sin(Y ) / y

Sin(X) = x* Sin(y) / y

X = arcSin [ 14 * Sin(108) / 34 ]

X = arcSin [ 0.3916115]

X = 23.0548°

X= 23°  ( rounded to nearest degree )

2d)

they ask us to find ∠E

I'll , again, use the letter they give us for variables

Sin(E) / e = Sin( F ) / f

Sin(E) / 18 = Sin(78) / 30

E = arcSin[ 18 * Sin(78) / 30 ]

E = arcSin [ 0.5868856 ]

E = 35.936 °

E = 36 °    ( rounded to nearest degree )

:)

3 0
3 years ago
Which of the following is a property of all squares?
Ivanshal [37]

Answer:

Option D) is correct

That is Option D) "The diagonals bisect each other" is correct

Step-by-step explanation:

The property of all squares is

"The diagonals of a square bisect its angles" and it can be written also also as below

"The diagonals bisect each other"

Therefore Option D) is correct

That is Option D) "The diagonals bisect each other" is correct

4 0
3 years ago
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