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timofeeve [1]
4 years ago
6

In tan A = 7/9 the measure of

Mathematics
1 answer:
Nonamiya [84]4 years ago
3 0
I'm not completely sure about what you are asking, but if its what i'm taking from this, tan A = 7/9 is finding the measure of angle A.
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Question 3
igor_vitrenko [27]

Answer:

The system has exactly one solution where x = 0 and y = -3.

Step-by-step explanation:

-6x + y = -3

7x - y = 3

(7x - 6x) + (y - y) = 3 - 3

x + 0 = 0

x = 0

7(0) - y = 3

0 - y = 3

-y = 3

y = -3

-6(0) + y = -3

0 + y = -3

y = -3

So, the system has exactly one solution where x = 0 and y = -3.

Hope this helps!

7 0
3 years ago
-5x+4y=3<br><br> x=2y-15<br><br><br> Solve for y and x
serious [3.7K]

Answer:

<em><u>x=9, y=12</u></em>

Step-by-step explanation:

-5x+4y=3 --------A

x=2y-15----------B

Putting the value of x from B in A

-5(2y-15) +4y=3

-10y+75+4y=3

-6y=3-72

-6y=-72

y=72/6= 12

Putting the value of y =12 in B

x= 2(12)-15

x= 24-15

x=9

3 0
3 years ago
Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
____ [38]

Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
A family uses 1,303 kWh of electric energy in a month. If the power company charges $0.08 per kilowatt hour, what is the total e
prisoha [69]

The total electric energy bill for the month is \$104.24

<u>Solution: </u>

Given that

Electric energy consumed by family in a month = 1303 kWh

Power Company charges \$0.08 per kilowatt hour

Need to calculate total electric energy bill for the month.

Price of 1 kilowatt hour = \$0.08

\text { Price of } 1303 \text { kilowatt hour }=1303 \text { x Price of } 1 \text { kilowatt hour }=1303 \times 0.08=\$ 104.24

Total electric energy bill for the month = Price of Electric energy consumed by family in a month = Price of 1303 kilowatt hour = \$104.24

5 0
3 years ago
A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of
NISA [10]

Answer:

75%

Step-by-step explanation:

For this case, the first thing we will do is name variables:

a: percentage from ticket sales

b: ticket sales

We have then:

a = 75%

b = (0.75) * (3200) = $ 2400

Answer:

a = 75%

b = (0.75) * (3200) = $ 2400

The amount of ticket sales is $ 2400.

8 0
1 year ago
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