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podryga [215]
3 years ago
13

Using either the special 45-45 right triangle or the Unit circle determine what the exact value

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0
Positive root 2/2 (the last one)

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A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n - 1)(8) The same sequence has the
zhuklara [117]
From the explicit formula:
an=3+(n-1)8
simplifying this we get:
an=3+8n-8
an=8n-5
thus 
the recursive formula is:
an=an-1+
the missing part is the common difference which is 8
6 0
3 years ago
If FH = 9x + 15 and GH = 5x + 4,<br> then FG = ?
Tatiana [17]

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

4 0
3 years ago
Solve this equation.<br> 1 5/8 - 1/3 = <br><br><br> Put a real awnswer or you will be reported
Nonamiya [84]

Answer:

1 and 7/24

Step-by-step explanation:

hope this helps!

6 0
3 years ago
Read 2 more answers
Whats the sum of -32 and 4?<br> A.-28<br> B.-36<br> C.-27<br> D-34
Firlakuza [10]

Answer:

-28

___________________

4 0
2 years ago
Read 2 more answers
Emma is installing a new tile floor. Each tile measures 12 inches by 12 inches. The room in which she is installing the tiles me
kirill [66]
So basically each of the tile sides measure one foot, since one foot = 12 inches.
We will call one of the tiles a unit.
And since the room is 14 feet by 10 feet, we can multiply the two dimensions together to see how many units fit into the room.
14 * 10 = 140
And so now we know that we need 140 tiles.
And since each tile costs $1.25, we can multiply that by 140 to get the total cost.
1.25 * 140 = $175

So it will cost Emma $175 to complete her project.
3 0
3 years ago
Read 2 more answers
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