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4 years ago

A student says that the measures of coterminous angles are never opposites of each other. Is the student correct?Explain

2 answers:

5 0

A student says that the measures of coterminal angles are never opposites of each other, the student is wrong because Coterminal angles are angles in standard position (angleswith the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.

Ilia_Sergeevich [38]4 years ago

3 0

Answer:

The student is not correct.

For angles to be coterminal, the difference between their measures must be a multiple of 360°.

The difference between 180° and –180° is 360°.

Angles with measures 180° and –180° are coterminal.

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Absolute value of _3

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Three. For these questions, ignore the positive or negative sign.

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Bob is angry with his friend for eating his sandwich. Which conflict best describes this situation?

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What is the slope intercept of the equation y = -x + 12?

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Answer: b) slope: -1, y-intercept 12

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2 years ago

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You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the

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Step-by-step explanation:

The TV to have a 16:9 ratio and have a diagonal of 65 inches must have a length & width whose squares add to 4,225 (65 squared) and whose ratio length and width simplifies to 16/9.

B is not an option because $16^2+9^2\neq 65^2$ .

C is not an option because $\frac{42.59}{21.22}\neq \frac{16}{9}$ which is 1.777777777778 as a decimal.

D fails for the same reason as C.

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3 years ago

impeded by the current the outing club took 4 hours and 24 minutes to paddle 11 km up the exeter river to their campsite last we

lilavasa [31]

Answer: if there had been no current, the rate would have been 4 km/hr.

The rate of the current is 1.5km/hr

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h

Distance = speed × time. Therefore

11 = 4.4(x - y)

Dividing through by 4.4, it becomes

2.5 = x - y - - - - - - - - - - -1

The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is

11 = 2(x + y)

Dividing through by 2, it becomes

5.5 = x + y - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

8 = 2x

x = 8/2 = 4

Substituting x = 4 into equation 1, it becomes

2.5 = 4 - y

y = 4 - 2.5

y = 1.5

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