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3 years ago

If tan(theta)= -10, sin(theta)<0, find the exact value of each of the following for 0≤theta<2π.

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Sorry I can’t fine if

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Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot

kogti [31]

Answer:

$x=\frac{30}{7}$

Step-by-step explanation:

We have been given an equation $\frac{2}{3}x=-\frac{1}{2}x+5$ . We are asked to solve our given equation.

First of all, we will add $\frac{1}{2}x$ on both sides of equation to separate x variable on one side of equation.

$\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5$

$\frac{2}{3}x+\frac{1}{2}x=5$

Now, we will make a common denominator.

$\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5$

$\frac{4}{6}x+\frac{3}{6}x=5$

Add numerators:

$\frac{4+3}{6}x=5$

$\frac{7}{6}x=5$

Upon multiply both sides of our equation by $\frac{6}{7}$ , we will get:

$\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}$

$x=\frac{5*6}{7}$

$x=\frac{30}{7}$

Therefore, the solution for our given equation is $x=\frac{30}{7}$ .

5 0

3 years ago

Read 2 more answers

Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?

Nady [450]

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

4 0

3 years ago

Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the

Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the number of hours she works.

She need to work to earn an additional $260.

To find:

Number of hours she need to work to earn an additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

$A\propto t$

$A=kt$ ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

$54.60=k(6)$

Divide both sides by 6.

$\dfrac{54.60}{6}=k$

$9.1=k$

Put k=9.1 in (i).

$A=9.1t$

Substitute A=260 in the above equation.

$260=9.1t$

Divide both sides by 9.1.

$\dfrac{260}{9.1}=t$

$28.5714=t$

$t\approx 29$

Therefore, she need to work extra about 29 hours to earn an additional $260.

3 0

2 years ago

Algebra 2: Factoring The Polynomial. Some are guess and test.

olasank [31]

3) 18v2−15v−18

=3(6v2−5v−6)

=3(2v−3)(3v+2)

4 0

3 years ago

Read 2 more answers

I need help ASAP Thankyou!

laila [671]

Answer:

it 28

Step-by-step explanation:

took the test :)

6 0

2 years ago