Find one positive angle and one negative angle that are coterminal with the given angle. Explain.

Mathematics

1 answer:

Setler [38]3 years ago

3 0

Answer: 10) 615° & -105°

12) -440° & 280°

Step-by-step explanation:

Coterminal means it is in the exact same spot on the Unit Circle but one or more rotations clockwise or counterclockwise.

Since one rotation = 360°, add or subtract that from the given angle until you get a positive or negative number.

10) 255° + 360° = 615° (this is a POSITIVE coterminal angle to 255°)

255° - 360° = -105° (this is a Negative coterminal angle to 255°)

12) -800° + 360° = -440° (this is a Negative coterminal angle to -800°)

-440° + 360° = -80° (this is a Negative coterminal angle to -800°)

-80° + 360° = 280° (this is a POSITIVE coterminal angle to -800°)

You might be interested in

1.5 For use after Le Divide, if possible. 1. 3+ (-1)

UkoKoshka [18]

2 is answer for that

4 0

3 years ago

Read 2 more answers

15 pts!!! solve for n. −1/2n = 1/3 + 5/8

Nimfa-mama [501]

The answer is - 1 and 11/12.

5 0

3 years ago

Axis of symmetry for f(x) = -2x2 + 20x -42

Ksenya-84 [330]

For the function $f(x)=2x^2 +20x-42$

We can use the formula for the axis of symetry, which is $x= \frac{-b}{2a}$

With the values substituted, we get...

$\frac{-20}{2(-2)} =5$

Therefore the axis of symmetry is $x=5$

8 0

3 years ago

Read 2 more answers

find the x intercept of the graph of the equation y equals -2.65 x + 25. what does the x intercept mean in terms of the situatio

natali 33 [55]

Ok so we can see for every 2 cups of medium coffee, the balance goes down 5.30$. So that means that for every coffee, her balance goes down 2.65$. Solving for the x-intercept means how many medium coffees can I get until my balance is 0. First, we have to find the y-int so it's easy. The slope is -2.65 because for every medium coffee, her balance goes down 2.65$. So we have y=-2.65x+b. Plugging in any point, I choose (4,14.40), we get 14.4 = -2.65 × 4 +b. Solving for b we get 25 for the y intercept, meaning the equation is y = -2.65x + 25 . To find the x intercept, we set y=0. So we have 0 = -2.65x+25. Solving for x we get approx. 9.4. We can't have decimals so we round down to 9. So the x int is ≈ 9.4 meaning we can only buy 9 coffee and have a little extra. But, if the problem said how many more coffees can she get, then here is how we do it. Since she already got 4 coffees, and the max is 9, we do 9-4 and we get 5, so she can buy 5 coffeed more.

3 0

3 years ago

At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g

Tresset [83]

Answer:

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n( $S \cup A\cup G$ ) = 100