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nlexa [21]
3 years ago
6

Can someone help me on this?

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0

Answer:

the triangle PQR is similar to RTS

Step-by-step explanation:

QR : RT

2 : 6

this 1:3 ratio is also seen in PR (4) with RS (12)

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PLEASE HELP: It takes one examiner 44 hours to mark 100 exam papers.
Sidana [21]

Answer:

4 hours

Step-by-step explanation:

100/44=exams per hour for one examiner

11 =100/4=exams per hour for 11 examiners

100/(100/4)=4 hours

6 0
2 years ago
Suppose you want to prove a theorem of the form p → (q ∨ r). Prove that this is equivalent to showing that (p ∧ ¬q) → r.
tino4ka555 [31]

You "distributed" the negation inside the parenthesis. Let's focus on the \lnot (p\wedge \lnot q) part.

We can distribute the negation inside the parenthesis by negating every term, and switching and with or, and vice versa. So, you have

\lnot (p\wedge \lnot q) \equiv (\lnot p) (\lnot \wedge) (\lnot \lnot q)

Of course, writing \lnot \wedge is improper, I was just stressing the fact that we distributed the negation to every term in the parenthesis. So, since a double negation cancels out, you're left with

\lnot (p\wedge \lnot q) \equiv \lnot p \lor q

which of course implies that

\lnot (p\wedge \lnot q) \lor q \equiv (\lnot p \lor q) \lor q

Edit: I actually derived the expression in the opposite order, but since they are equivalent, it doesn't really matters where you start from and where you get to. Anyway, if you actually want to derive \lnot (p \wedge \lnot q) \lor r from (\lnot p \lor q), you simply have to negate the first parenthesis and distribute the negation as discussed.

7 0
3 years ago
How do I solve this problem
erma4kov [3.2K]
10√3 (-7 - √5)

10√3 × -7 + 10√3 × -√5

-70√3 + 10√3 × -√5

-70√3 - 10√3√5

-70√3 -10√3 × 5

-70√3 - 10√15

hope that helps, God bless!
6 0
3 years ago
Use the graph to determine the domain and range of the relation, and whether the relation is a function
ohaa [14]
The answer is C. The domain is all points between -8 and 8 since it keeps waving back and forth. The range is all real numbers the graph continues on forever. And it is not a function because it does not pass the vertical line test
6 0
3 years ago
What is the common difference in the following arithmetic sequence?7,3,-1,-5
Natasha2012 [34]

Answer:

-4

Step-by-step explanation:

The common difference is found by subtracting the second term from a previous term

So...

3-7 would give the common difference = -4

-1-3 would give the common difference= -4

-5-1 would give the common difference= -4

5 0
3 years ago
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