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2 years ago

In which quadrant does the terminal side of the angle 215° lie?

Mathematics

1 answer:

Ivan2 years ago

5 0

1. You got it right.

4π/9 x 180/π = 80°

2. To get a coterminal angle you start with your angle and then you add or subtract 360° (one cycle around the circle).

-123+360+360 = 597°

-123-360 = -483°

3. The angle is 215° from the point (1,0) on the unit circle. The angle 215° is between 180° and 270° so it is in quadrant 3.

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yanalaym [24]

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2 years ago

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20. A cement mixer held 6 3/4 tons of cement. Ms. Folley used 2/3 of the cement for her driveway. How many tons of cement remain

NNADVOKAT [17]

Answer:

6 2/25 tons cement

Step-by-step explanation:

If cement mixer held 6 3/4 tons=6.75 tons

Mr. Folley used=0.67

After use cement are=6.75-0.67=6.08

So,

0.08=2/25

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2 years ago

Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What

marissa [1.9K]

Answer:

The velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind $=\frac{2160}{3} = 720 miles/hour$

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind $=\frac{6000}{6} = 1000 miles/hour$

As such its velocity against wind is $x-y$

and with wind is $x+y$ therefore

$x-y=720$ ------------(1)

$x+y=1000$ ---------------(2)

Adding equation 1 and 2.

$2x=1720$

$x=\frac{1720}{2}$

$x=860$

Put x value in equation 2

$860+y=1000$

$y=1000-860$

$y=140$

Hence velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

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3 years ago

Is the distance between -7 and -13 on a number line 6?

sattari [20]

Answer:

yes

Step-by-step explanation:

13-7=6 so that's the difference

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2 years ago

Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y =

lina2011 [118]

-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
factor: (x-2)(x+1)=0
x=2 or x=-1
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3 years ago

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