All categories

2 years ago

Find the measure of a positive and a negative angle that are coterminal with each of the given angles:

Mathematics

1 answer:

ozzi2 years ago

4 0

Complete question is;

Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.

8. θ = -25°

9. θ = -390°

Answer:

8) Negative coterminal angle = -385°

Positive coterminal angle = 335°

9) Negative coterminal angle = -750°

Positive coterminal angle = 330°

Step-by-step explanation:

For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.

Thus;

8) for θ = -25° ;

Negative coterminal angle = -25° - 360° = -385°

Positive coterminal angle = -25° + 360° = 335°

9) For θ = -390° ;

Negative coterminal angle = -390 - 360 = -750°

Positive coterminal angle = -390 + 360 = -30°

Since it's negative, we add 360 again till it's positive.

Thus = -30° + 360 = 330°

You might be interested in

Find the x-coordinates of the two points on the curve

scZoUnD [109]

Answer: x = {-2, 2}

<u>Step-by-step explanation:</u>

Tangent means it is touching. Find the intersection of the two equations.

Solve the linear equation for y, then set the two equations equal to each other.

$4y=x+8\qquad \rightarrow \qquad y=\dfrac{x+8}{4}$

$\dfrac{x-1}{x}=\dfrac{x+8}{4}\\\\\\\text{Cross multiply and solve for x:}\\4(x-1)=x(x+8)\\4x-4=x^2+8x\\.\qquad 0=x^2+4x+4\\.\qquad 0=(x+2)^2\\.\qquad 0=x+2\\.\qquad x=-2$

To find the next point that is parallel to the linear equation and tangent to the curve, we need to use the linear equation with slope (m) = $\dfrac{1}{4}$ and unknown b.

Let's try b = 0, then the equation of the linear equation is: $y=\dfrac{1}{4}x$

Set the equations equal to each other and solve for x:

$\dfrac{x-1}{x}=\dfrac{x}{4}\\\\\\4(x-1)=x^2\\4x-4=x^2\\.\qquad 0=x^2-4x+4\\.\qquad 0=(x-2)^2\\.\qquad 0=x-2\\.\qquad x=2$

This works!!! If it didn't work, we would have tried other values for b until we arrived at a solution.

7 0

3 years ago

Solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.

omeli [17]

Answer:

x = - 6, y = - 29

Step-by-step explanation:

Elimination:

2*(-5x + y = 1) = -10x + 2y = 2

9x - 2y = 4 = + (9x - 2y = 4) =

-x = 6

x = -6

9(-6)-2y=4

-54-2y=4

-2y=58

y=-29

8 0

3 years ago

(5 QUESTION 4 If 1 foot = 0.37 metres and 1 mile - 5.180 feet. Find the number of kilometres in 15 miles.

algol [13]

Answer:

there are 24.14 kilometers in 15 miles

5 0

3 years ago

A rectangle has a perimeter of 30 cm. What would be the new perimeter if the length and width of the rectangle is doubled in siz

podryga [215]

Perimeter of the rectangle:
2 L + 2 W = 30 cm
2 ( L + W ) = 30 cm
If the length and width of the rectangle is doubled in size the new perimeter would be:
2 ( 2 L + 2 W ) = 2 · 2 ( L + W ) = 2 · 30 cm = 60 cm

7 0

3 years ago

Read 2 more answers

How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures

malfutka [58]

Answer:

2153.21574

Step-by-step explanation:

5 0

3 years ago