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3 years ago

An angle whose measure is -405° is in

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer:

Quadrant IV

Step-by-step explanation:

Given

$\theta = -405^\circ$

Required

The quadrant of the terminal side

To do this, we simply rotate the given angle in a clockwise direction.

A complete rotation is $-360^\circ$

So, we have:

$\theta = -405^\circ$

$\theta = -360^\circ -45^\circ$

Remove the complete rotation

$\theta = -45^\circ$

When $45^\circ$ is rotated in the clockwise direction, it stops at the 4th quadrant.

Hence, the terminal side falls in the quadrant IV

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Consider the random experiment of tossing 3 fair coins and observing how many of them come to rest with the heads side of the co

zaharov [31]

Answer:

b. S = AUB

Step-by-step explanation:

Since the coins are tossed 3 times and each coin has head, H and tail, T(2 sides), the sample space is S = 2 × 2 × 2 = 2³ = 8

All the possible outcomes are HTT, HHT, HHH, THH, TTH, HTH,THT and TTT

Since S denote the sample space

S = {HTT, HHT, HHH, THH, TTH, HTH,THT, TTT}

Since A denote the event that at least 1 of the coins comes to rest with its heads side upwards, the possible outcomes are HTT, HHT, HHH, THH, TTH, HTH and THT

So, A = {HTT, HHT, HHH, THH, TTH, HTH,THT}

Also B denote the event that none of the coins comes to rest with its heads side upwards, that is no heads. The possible outcome is TTT

So, B = {TTT}

Since S denote the sample space

S = {HTT, HHT, HHH, THH, TTH, HTH,THT, TTT}

So, A ∪ B = {HTT, HHT, HHH, THH, TTH, HTH,THT} ∪ {TTT} = {HTT, HHT, HHH, THH, TTH, HTH,THT, TTT} = S

So, S = A ∪ B

So, S = A ∪ B does not denote an abuse of notation.

The answer is b.

7 0

3 years ago

1. What is the approximate solution of the linear system represented by the graph below?

nlexa [21]

Answer:

x = 5 and y = 6; that is the (5, 6) (x, y) pair.

Step-by-step explanation:

The graph shows two lines that cross at the point (5, 6) on the plane (see attached image).

This means that the point x=5 and y=6 belongs to both lines (is a solution for both equations representing the lines) and therefore this pair of values is the solution to both equations in the system.