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Lena [83]
2 years ago
11

find the exact value given that sin A= -4/5 with A in quadrant IV, tan B=7/24 with b in quadrant III, ; cos C= -5/13 with c in q

uadrant II
Mathematics
1 answer:
Kitty [74]2 years ago
4 0

Answer:

A= 306,87°

B= 196,26°

C= 112,62

Step-by-step explanation:

sinA =-4/5

A = -53,24°

A = 306,87°

tan B = 7/24

B = 16,26°

B = 196,26°

cos C = -5/13

C = 112,62°

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Find the argument of the complex number z=1+iv3
elena-14-01-66 [18.8K]

Given:

The complex number is:

z=1+i\sqrt{3}

To find:

The argument of the given complex number.

Solution:

If a complex number is z=x+iy, then the argument of the complex number is:

\theta=\tan^{-1}\dfrac{y}{x}

We have,

z=1+i\sqrt{3}

Here, x=1 and y=\sqrt{3}. So, the argument of the given complex number is:

\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}

\theta =\tan^{-1}\sqrt{3}

\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)

\theta =\dfrac{\pi}{3}

Therefore, the argument of the given complex number is \theta =\dfrac{\pi}{3}.

6 0
3 years ago
A system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2
ruslelena [56]
Suppose the line is y=mx+b
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so the linear equation is y=7x-6
7 0
3 years ago
When the radius doubles, does the area of the circle double?
asambeis [7]
Example
from pir^2 ro pi(2r)^2
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7 0
3 years ago
What is the answer to all these questions? I need help asap
Marysya12 [62]

Answer:

1) Slope= 2, y-intercept=4, equation: y=2x+4

2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60

Step-by-step explanation:

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1. Plug in two sets of cordinates into the equation

(0,2) (2,8)

2. Solve, slope =2

3. Plug in one pair into the point slope formula

Point slope formula: y-y_1=slope(x-x_1)

4. y-8=2(x-2)

5.y-8=2x-4

6. y=2x+4

Do the same for the other equation

4 0
3 years ago
Read 2 more answers
John Gray brought a basic car for $8,250.00, with options that cost $324.00. There's a 6% sales tax in his state and a combined
dybincka [34]
 Cost of basic car = $8250
Optional cost = $324
Total cost of basic car and optional items for John= (8250 + 324) dollars
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Then
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Amount of sales tax = 8574 * (6/100) dollars
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Then total cost of John in regards to buying the car = 8574 + 514.44 + 50
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<span>$9,138.44</span> is the correct option in regards to the question given.

8 0
2 years ago
Read 2 more answers
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