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11111nata11111 [884]
2 years ago
6

Find a formula for the nth term in this arithmetic sequence first term -2 common difference an=

Mathematics
1 answer:
malfutka [58]2 years ago
3 0
The formula for the problem is: An = 8(n-1) - 2

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How do I find x on the attached right triangle<br> ?
ioda

The value of x from the given triangle is 32√3/3

<h3>SOH CAH TOA identity</h3>

In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.

sin 60 = 8√2/H

H = 8√2/sin60

H = 8√2 * 2/√3

H = 16√2/√3
H = 16√6/3

For the value of x, we will use the expression

sin45 = (16√6/3)/x

1/√2 = 16√6/3x
3x = 16√12
3x = 32√3

x = 32√3/3

Hence the value of x from the given triangle is 32√3/3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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4 0
2 years ago
What is the solution to the system of equations g(x)=-2x-3 f(x)=x+1-4
Ainat [17]

Answer: Not positive that this is right but here is what I got.

Step-by-step explanation:

Set up the composite result function.

g ( f )( x )

Evaluate g(f)(x) by substituting in the value f into g

(2x - 3) + 1

Add -3 and 1

g ( 2 x − 3 ) = 2 x − 2

4 0
3 years ago
Triangle CAT was rotated to create triangle C'A'T'. Describe the transformation using details and degrees.
inysia [295]

Answer:

Triangle CAT was rotated 90 degrees clockwise around the origin.

Step-by-step explanation:

The coordinate points for A and A' are (-3,3) and (3,3). The change from A to A' from quadrant 2 to 1 is a 90 degree rotation in the clockwise direction. Each of the points are equal distance from the origin (0,0) and this is the center of rotation.

6 0
3 years ago
Alex purchased 29 4x6 prints and 16 5x7 prints from an online printing service and paid $22.89. If 5x7 prints cost $0.84 more th
viktelen [127]

Answer:

23x93x66x33ans is 20000this is and of your qustion

4 0
3 years ago
Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Lou​'s car had 6.2
zlopas [31]

Answer:

It will cost Lou $28.86 to fill the tank

Step-by-step explanation:

Lou's tank holds 14 gallons.  It has 6.2 gallons in it.  

14- 6.2  = 7.8

Lou can put in 7.8 gallons to fill it.

7.8 gallons and $3.70

7.8 * 3.7 = $28.86

It will cost Lou $28.86 to fill the tank

4 0
3 years ago
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