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Sedaia [141]
2 years ago
13

1) Simplify the following expressions: a) sin²108° + sin² 18° ​

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Note that

108° = 90° + 18°

so

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

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14. f(x) = -x4 + x² + 4; x = -1
natali 33 [55]

Answer:

  f(-1) = 4

Step-by-step explanation:

See below for the synthetic division tableau. The remainder is 4, hence ...

  f(-1) = 4

___

IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:

  f(-1) = -1 +1 +4

  f(-1) = 4

5 0
3 years ago
Juan has a smartphone data plan that costs $50 per month that includes 6GB of data, but will charge an extra $40 per GB over the
andrew11 [14]

Answer:

(50+40x) dollars

Step-by-step explanation:

THe fixed cost is $50 (this includes everything and 6GB of data).

Now, for every GB <em>OVER</em> 6 GB he uses, company charges $40 extra.

So, if he used "x" GB EXTRA, his EXTRA cost will be 40 * x = 40x

Thus, his total cost in the month would be fixed cost PLUS the extra, which would be

50 + 40x dollars

3 0
3 years ago
Shown is the graph for which of the following equations?
katrin2010 [14]
Since the graph is moving positive from left to right, x is positive. so now we are left with B) and C) for our answer

now, the y intercept or b is -3 as shown in the graph

the answer is C) y= x -3
8 0
3 years ago
Simone peeled 14 potatoes in 1/5 hour. At this rate, how many potatoes can Simone peel in one hour?
Eduardwww [97]
Do a proportion
First change 1/5 into a whole number first.Which is 1/5 times 60=12
Now do a proportion
14/12=x/60
12x=840
x=70
Simone can peel 70 potatoes in a hour.


6 0
3 years ago
Read 2 more answers
2. The set of whole number from 1 to 20
slega [8]

Answer:

c:2,4,6,8,10,12,14,16,18,20

Step-by-step explanation:

set d:4,8,13,15,20

6 0
3 years ago
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