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blsea [12.9K]
3 years ago
10

Determine if the triangle with the following vertices is a right triangle. Explain how you arrived at your answer.

Mathematics
1 answer:
Alinara [238K]3 years ago
3 0
Determine if the triangle with the following vertices is a right triangle. C. -1,0
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Simplify (q and (-q or p)) or (p and -(q and p))
Vesnalui [34]

Step-by-step explanation:

(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p

(p and not (q and p)) = (p and (not q or not p)) =

= (p and not q) or (p and not p) = (p and not q) or false =

= p and not q

so, we have in total

(q and p) or (p and not q) = (p and q) or (p and not q).

this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.

5 0
4 years ago
Janes salary is increased by 4% to $15600. How much was her salary before the rise?
katovenus [111]
You have to make 4% into a decimal which is.04 then multiply 15600 x .04 which equals 624
4 0
4 years ago
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3 in to 2 ft in simplest form
BigorU [14]
<span>The goal in simplifying numbers is to reduce it that can be best seen in the eye.  Also in converting units, you must take note of the units given in the problem. If you don’t, you would get a lot of errors. Length is the measure of distance and can be best represented by either in SI units or English units.  Example of an SI unit is meter, m, and English unit is feet, ft. You are given 3 inches and 2 feet. You can convert any of the numbers into a number that would feel comfortable to you. I will take 3 inches. Note that there are 12 inches in 1 feet. So divide 3 by 12 and you will get ¼ feet. Then divide 2 feet to ¼ feet and you will get 8.</span>
4 0
3 years ago
Read 2 more answers
Given that 3 feet equal 1 yard, how many yards equals 1 feet ?
never [62]

Answer:

0.333333

Step-by-step explanation:

Hope this helps and have a great day!

6 0
4 years ago
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

7 0
3 years ago
Read 2 more answers
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