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3 years ago

3) INITII equation y=-x+ 4 equation W10 slope (m) = _ y-intercept =

Mathematics

1 answer:

vodomira [7]3 years ago

4 0

Answer:

slope (m) = 1 and intercept = -4

Step-by-step explanation:

comparing with Y = mX - c

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The angle θ1\theta_1 θ 1 theta, start subscript, 1, end subscript is located in Quadrant II\text{II} II start text, I, I, end

melomori [17]

Answer:

$\dfrac{3\sqrt{13}}{11}$

Step-by-step explanation:

Given that the angle $\theta_1$ is located in Quadrant II; and

$\cos(\theta_1)=-\dfrac{2}{11}$

In Quadrant II, x is negative and y is positive.

$\cos(\theta)=\dfrac{Adjacent}{Hypotenuse},\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Adjacent=-2\\Hypotenuse=11\\$

To find $\sin(\theta_1)$ , we first determine the opposite angle of $\theta_1$ .

This will be done using the Pythagoras theorem.

$Hypotenuse^2=Opposite^2+Adjacent^2\\11^2=Opposite^2+(-2)^2\\Opposite^2=121-4=117\\Opposite=\sqrt{117}=3\sqrt{13}$

Therefore:

$\sin(\theta_1)=\dfrac{Opposite}{Hypotenuse}=\dfrac{3\sqrt{13}}{11}$

6 0

3 years ago

Twenty percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have MBA

Sergeu [11.5K]

Answer:

12%

Step-by-step explanation:

We have to find percentage of employee both manager and has MBA degree.

Percentage of employee both manager and has MBA degree=P(MBA and manager)*100

We are given that

P(MBA)=0.25

P(Manager)=0.20

P(MBA/ manager)=0.60

P(MBA and manager)=?

P(MBA/ manager)=P(MBA and manager)/P(Manager)

P(MBA/ manager)*P(Manager)=P(MBA and manager)

P(MBA and manager)=0.6*0.2

P(MBA and manager)=0.12

Percentage of employee both manager and has MBA degree=0.12*100

Percentage of employee both manager and has MBA degree=12%.

Thus, the percentage of the employees is both manager and has MBA degree is 12%

4 0

3 years ago

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storchak [24]

If it is 2.25 yards per dress, and 4.15 a yard, multiply 2.25 by 4.15 and you get 9.3375 or just 9.34. if there are 4 girls, multiply 9.34 by 4 and you get $39.76

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3 years ago

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Which ordered pair is a solution to the system of equations?

Karolina [17]

The third one is the correct answer
instead of going through the long process of the simultaneous equation just input the first number for the x into the equation and 2nd for y and you get your answer

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3 years ago

Marley was asked to solve x2 - 4x + 9 = 0 using the Quadratic Formula. She found the discriminant first and decided she did not

saveliy_v [14]

We have been given Marley was asked to solve $x^2-4x+9 = 0$ using the Quadratic Formula. She found the discriminant first and decided she did not need to continue with the Quadratic Formula.