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SpyIntel [72]
2 years ago
10

Use a difference identity to find the exact value of tan 15.

Mathematics
2 answers:
damaskus [11]2 years ago
5 0

Answer:

2-\sqrt{3}

Step-by-step explanation:

tan15 = tan(45 - 30)=\frac{\tan{45}-\tan{30}}{1+\tan{45}\tan{30}}\\\\=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}\\\\\\=\frac{\sqrt{3}-1}{\sqrt{3}+1}\\\\\\

=\frac{(\sqrt{3}-1)^2}{3-1}\\=\frac{3+1-2\sqrt{3}}{2}\\=2-\sqrt{3}

telo118 [61]2 years ago
3 0
X minus positive three minus -2 equals 7-15
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The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is the slope-in
GrogVix [38]

Answer:

y=1/2x - 1/2

Step-by-step explanation:

Slope intercept form is y=mx+b

The m is the slope of the line and the b is the y-intercept.

You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.

7 0
3 years ago
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
ivanzaharov [21]

Answer:

68

Step-by-step explanation:

Alright, so to find how many pages that can be had, we have to replace P with the amount of money Jennifer has. This is because P is the price of one book, and we want to find the number of pages (x) we can buy for a book price of 62.10 or less.

62.1 = (20 + 0.5x) + 0.15(20 + 0.5x)

62.1 = 20 + 3 + 0.5x + 0.075x

62.1 - 23 = 0.575x

39.1 = 0.575x

39.1/0.575 = x

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Therefore, in order to buy a book that costs 62.10, the book must have 68 pages.

6 0
3 years ago
Question 1!!!!!!!!!!!!!!!!!!!!!!!!!
Leona [35]
57 is the answer to your question
4 0
3 years ago
Let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).
N76 [4]

Answer:

f(x)/g(x) = 4x^2+6x-3  remainder -12

or

f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)

or

((4x²+6x-3)-12)/(2x+1)

Step-by-step explanation:

f(x)= 8x³ + 16x² -15

g(x) = 2x+1.

Using long division,

f(x)/g(x) = 4x^2+6x-3  remainder -12

5 0
3 years ago
Which steps could be used to solve this story problem?
nlexa [21]
Hope this helps but I think the answer is B.
7 0
3 years ago
Read 2 more answers
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