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forsale [732]
3 years ago
8

Given that tan0= -1, what is the value of sec0, for 3pi/2<0<2pi?

Mathematics
2 answers:
Maru [420]3 years ago
7 0

Answer: Choice B. sqrt(2)

Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how

tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1

Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long

a^2 + b^2 = c^2

(1)^2 + (1)^2 = c^2

2 = c^2

c^2 = 2

c = sqrt(2)

The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with

sec(theta) = hypotenuse/adjacent

sec(theta) = AC/AB

sec(theta) = sqrt(2)/1

sec(theta) = sqrt(2) which is why choice B is the answer

Eddi Din [679]3 years ago
7 0

Answer:

B. on E2020

Step-by-step explanation:

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Shorty Jones wants to buy a one-way bus ticket to Mule-Snort, Pennsylvania. The ticket costs $142, but Mr. Jones has only $80. I
Katen [24]

Answer:

Shorty has $142 after 7 month.

Step-by-step explanation:

The concept of compounded interest involves an initial capital that is reinvested month by month, it means that the initial capital plus the interest earned during the first month is reinvested on the second month and so on. The equation that describes the relationship between the final capital with the initial capital, the percentage of compounded interest and the time is:

 Cf = Ci(1 + r)^n    

where Cf: final capital (the money tha Shorty needs,  $142)

Ci: initial capital (the money that Shorty has, $80)

r is the interest (9% = 0,09)

n: time (in months)

⇒142 = 80 (1 + 0,09)^n ⇒ 142/80 = (1,09)^n ⇒ 1.775 = (1,09)^n At this point you have to apply logarithms.

⇒ log (1.775) = n log (1.09) ⇒ n = log (1.775)/log (1.09) ⇒ n= 6.658

Shorty has $142 after 7 month.

4 0
4 years ago
8x + 4 = 6x + 6<br> Help Help Help Help Help
Inessa [10]

Answer:

12x

Step-by-step explanation:

6x +6+ 12x 8x +4 +12x

3 0
3 years ago
Read 2 more answers
A student deposits the same amount of money into her bank account each week. At the end of the second week she has $30 in her ac
Nonamiya [84]
The student will have $135 in her bank account at the end of the ninth week. You can fine this out by finding out the amount she deposits a week and to do this you would take the $30 and divide it by 2 because she had $30 at the end of the second week. 
30/2=15
So you see that the student deposits $15 each week, so to find out how much money she will have in 9 weeks you will multiply her $15 by 9.
15x9=135
So the student will have $135 at the end of the ninth week. 
6 0
3 years ago
Please help me i need it bad.
AnnyKZ [126]

Answer:

B. Q' (1, 2)

Step-by-step explanation:

im good like that :)

also you can just count how far the Q is from P and R idk how to explain

4 0
3 years ago
Identify the solutions to the quadratic equation 6x^2+x-1=0
tigry1 [53]

Answer:

1/3 and -1/2

Step-by-step explanation:

You can use the factoring method to identify the solutions of x

6x^2+x-1

2 numbers have to multiply to 6 and subtract to 1 because x is the same as 1x

So, you get 3x and 2x

since you know that -1x1 is -1 you will get

(3x-1)(2x+1)=0

Now, since (3x-1) and (2x+1) multiply to get 0, if either (3x-1) or (2x+1) is 0 the statement will be valid

3(1/3)-1=0

2(-1/2)+1=0

So, your answers are 1/3 and -1/2

5 0
2 years ago
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