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maw [93]
3 years ago
8

Find the exact value of each expression. sin75° cos(-75°)

Mathematics
2 answers:
suter [353]3 years ago
7 0

Answer:

Step-by-step explanation:

sin 75°

sin(30°+45°)

sin30°*cos45°+cos30°sin45°

1/2*1/\sqrt{2} + \sqrt{3}/2*1\sqrt{2

1/2\sqrt{2}+\sqrt{3}/2\sqrt{2}

1+3/2\sqrt{2}

cos(-75°)

-cos(180°-105°)

-cos(-105°)

cos 105°

cos(45°+60°)

cos45°cos60°-sin45°sin60°

1/\sqrt{2} *1/2-1/\sqrt{2} *\sqrt{3} /2

1/2\sqrt{2-\sqrt{3/2\sqrt{2}

1-\sqrt{3}/2\sqrt{2}

tino4ka555 [31]3 years ago
5 0

sin(75)

=0.96

cos(-75)

=0.25

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Find the equation of a line parallel to −4x−5y=−4 that contains the point (3,−2). Write the equation in slope-intercept form.
Temka [501]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 4x - 5y = - 4 into this form

Add 4x to both sides

- 5y = 4x - 4 ( divide all terms by - 5 )

y = - \frac{4}{5} + \frac{4}{5} ← in slope- intercept form

with slope m = - \frac{4}{5}

Parallel lines have equal slopes, thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

y = - \frac{4}{5} x + \frac{2}{5} ← in slope- intercept form

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4 years ago
F Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?
alexandr402 [8]

Answer: uh do I subtract add multiply or divide?

Step-by-step explanation:

8 0
3 years ago
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KATRIN_1 [288]

Answer:

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What is the completely factor form of x4+8x2-9
Mademuasel [1]
It takes some trial and error

To find the factored form, you know that the format will look like

 (x^n +/- a) (x^n +/- b)  

Since the expanded form has x^4, the first part of each expression in parentheses will be x^2  because x^2 * x^2 will give you x^4

Then you have to figure out, how will you get -9 in the expanded form? The "a" and "b" parts of each expression will have to multiply to equal -9.

Factors of -9 will be -3*3 or -1*9 or -9*1

Also, consider the 8x^2 part - as it relates to finding the factors of 9. The parts of the expression that result in  8x^2  in the expanded form ...

a*x^2 + b*x^2 = 8x^2

If you think about this, you know the a and b will  = -1 and 9 because you also have to add the expressions with x^2 to get 8x^2, and 3 and 3 would not give you the 8x^2 and neither would nor would -9 and 1.

Final factored form is

(x^2 - 1) (x^2 + 9)
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4 years ago
The sum of two numbers is 41. The smaller number is 5 less than the larger number. What are the numbers?
Citrus2011 [14]

Answer:

Greater number is 24 and smaller number is 18.

Step-by-step explanation:

According to the question first case will be x+y=41 by solving it y=41-x and second case will be x=y-5 put the value of y in second case. The answer will come. (hope you will get it)

3 0
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