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vladimir1956 [14]
2 years ago
11

Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?

Mathematics
1 answer:
Grace [21]2 years ago
5 0

Answer:

c

Step-by-step explanation:

See the graph for an example using the specific angles \theta=60^\circ , \,\, \180^\circ-\theta=120^\circ

See how the red segments are equal  in length but going in opposite directions?

\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}

a. This can't be correct: it says \tan{\theta} is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.

b. Not true in Quad. I. Consider \tan{60^\circ}, \,\, \tan{30^\circ}.

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During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30. 75 peop
solmaris [256]

Answer:

25 Students attended and 50 teachers and their family members attended

Step-by-step explanation:

50x30=1500

25x12=300

1500+300=1800

Hope this helped :)

3 0
2 years ago
According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

3 0
2 years ago
It costs $350 to rent a room for a party. You also plan to hire a caterer that charges $9.25 per person. Write and solve a linea
Rus_ich [418]
350+9.25x so it would be $905
5 0
2 years ago
Read 2 more answers
In 2005, there were 74,250 car accidents. In 20,187 of them, the driver was a
zhuklara [117]

Answer:

27.19% probability that a female driver was involved in an accident

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

74,250 car accidents. Of those, in 20,187, the driver was a female.

Based on this, what is the probability that a female driver was involved in an accident?

p = 20187/74250 = 0.2719

27.19% probability that a female driver was involved in an accident

6 0
2 years ago
X+100+31=180. what does X=? *<br> Nour answer
mr_godi [17]

Answer:

49

Step-by-step explanation:

x + 100 + 31 = 180

x + 100 + 31 - 100 - 31 = 180 -100 -31

x = 49

5 0
2 years ago
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