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forsale [732]
3 years ago
9

Let p: A triangle is acute.

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

An equilateral triangle has all three angles as 60 degrees, this also makes the triangle an acute triangle.  

This makes both p and q true.

P V q is also true, the V means “or”, so if either p or q is true the statement is true

p ∧ q means and, since both p and q are true, this is also true.

The left and right arrows means “implies”, so this is true if and only

     if the p is false or q is true (the sentence ((~p)vq) is true). Since Both p and q are true both the left and right arrows are true

The last one means equal and is true if both p and q are the same, which they are, so this is also true,.

All the given statements are true.,

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After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the
Dennis_Churaev [7]

Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

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5 0
3 years ago
Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of th
svp [43]
Let
ba--------> area of bases (<span>the two bases included</span>)
p---------> perimeter of the base
h--------> height of the prism  
la-------> lateral area

we know that

[surface area]=2*[area of one base]+[perimeter of the base]*height 
so
2*[area of one base]=ba
[surface area]=[ba]+[p]*h

and 
the formula of lateral area is
[la]=[perimeter of the base]*height
[la]=[p]*h
therefore
[surface area]=[ba]+[la]

the answer is
[surface area]=[ba]+[p]*h
[surface area]=[ba]+[la]

6 0
3 years ago
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Irina18 [472]

" the quotient " means divide

(n/6) - 1 <== ur expression

7 0
2 years ago
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In XYZ, what is the cosine ratio of X?
Wittaler [7]

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

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