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marishachu [46]
3 years ago
10

Write a statement that is logically equivalent to the statement below. Demonstrate it is logically equivalent by citing evidence

to justify your statement:
If today is Monday, then it is not the weekend.
Mathematics
1 answer:
olga55 [171]3 years ago
3 0
The statement logically equivalent to the statement below will be 

,,If today is Weekend,then it is not the Monday ."
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Find the coordinates of the missing endpoint if B is the midpoint of AC. C(-6,-2),B(-3,-5)
Margaret [11]

Answer:

  A = (0, -8)

Step-by-step explanation:

  B = (A+C)/2 . . . . the midpoint is the average of the end points

  A = 2B -C = 2(-3, -5) -(-6, -2) . . . solve for A, substitute point values

  A = (0, -8)

5 0
3 years ago
Use your understanding of the unit circle and trigonometric functions to find the values requested.
vfiekz [6]

Answer:

a) For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

b) From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

Part b

From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

6 0
3 years ago
Is there a greatest positive integer? If so, what is it? If not, why not?
balu736 [363]
No, there is no 'greatest integer'. That is because positive numbers can go up tp infinite, and we do not know where numbers stop. 

However, there is a negative greatest integer because the ones that's closes to zero is -1. 
3 0
3 years ago
Read 2 more answers
One hundred times the quantity six plus five
Andru [333]
100 times (6+5)
100 times 11
100 groups of 11=1100
Hope I helped:)

3 0
4 years ago
Read 2 more answers
Question 4
stealth61 [152]
Question 4:
2x-3
Because we don’t know how much Fernando has that would be where we fill in the variable giving you 2x then 3 dollars less will give you the -3 therefore 2x-3
Question 5:
1/2x+7
Because we don’t know Deb’s age that would be the variable and we are looking for half of Deb’s age giving you 1/2x then the 7 years more giving you the +7 hence 1/2x+7
3 0
3 years ago
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