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2 years ago

Identify the domain of the function. A) (-2, 4) B) (-3,3) C) [-2, 4] D) (-3, 3]

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

Xkgxgdjgdjgdigdigditdjdgj

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

Based on the model, approximately how many customers will be on the restaurant when there are 10 cars parked in the restaurant’s

Zanzabum

Answer:

Step-by-step explanation:

From the graph, derive the best fit equation :

Using the points ;

(0,2.5) (100 ,35)

x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35

Slope formula, m = (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = 0.325

The y intercept, value on the graph where best fit line crosses the y axis = 2.5

The equation :

y = mx + c

c = intercept ; m = slope

y = 0.325x + 2.5

y = Number of cars

x = number of customers

The number of customers if there are 10 cars parked :

10 = 0.325x + 2.5

10 - 2.5 = 0.325x

7.5 = 0.325x

x = 7.5 / 0.325

x = 23.076

x = 23

6 0

3 years ago

Need answer as soon as possible

sergejj [24]

Answer:

I think it would be 65 degrees

Step-by-step explanation:

If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.

7 0

3 years ago

Jasmine’s cell phone company charges her $35 a month for phone service plus 0.50 for each text message. How many text messages d

nataly862011 [7]

A. 35+0.50(t)= $52
b. 34

3 0

2 years ago

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The legs of a isosceles triangle are 0.3 foot less then twice the base . The perimeter of the triangle is 4.9 feet .

REY [17]

Answer:

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