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wolverine [178]

3 years ago

6

Please answer ASAP, I would like to check my answer with someone, thank you

1 answer:

likoan [24]3 years ago

8 0

Answer:

n = 15

Step-by-step explanation:

Since the triangles are similar the corresponding sides are in proportion, that is

$\frac{n}{6}$ = $\frac{5}{2}$ ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15

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Use Theorem 2.1.1 to verify the logical equivalence. Give a reason for each step. -(pv –q) v(-p^q) = ~p

sertanlavr [38]

Answer:

The statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ , $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

Step-by-step explanation:

We need to prove that the following statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ with the use of Theorem 2.1.1.

So

$\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv$

$\equiv (\lnot p \land \lnot(\lnot q))\lor(\lnot p \land \lnot q)$ by De Morgan's law.

$\equiv (\lnot p \land q)\lor(\lnot p \land \lnot q)$ by the Double negative law

$\equiv \lnot p \land (q \lor \lnot q)$ by the Distributive law

$\equiv \lnot p \land t$ by the Negation law

$\equiv \lnot p$ by Universal bound law

Therefore $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%20%5C%20%5Cfrac%7B4%7D%7B9%7D%20%20-%201%20%5C%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1"

Yakvenalex [24]

2 1/9 or 2.1111111 is the answer.

7 0

4 years ago

Dots sells a total of 277 T-shirts ($2) and shorts ($3). In April, total sales were $656.

icang [17]

Answer:

Shorts = 112 and t shirts = 165

Step-by-step explanation:

Let S = shorts

Let T = t shirts

T + S = 277

$2T + $3S = $656

-2(T + S) = 277 so -2T -2S = -544

2T + 3S = 656 so 2T + 3S = 656

------------------------

SO: (subtract T's cancel out) 1S = 112

divide by 1 so S = 112

Plug S into the top equation: T + s = 277 T + 112 = 277 so T = 165

5 0

3 years ago

what formula would find the surface area of a right cylinder where h is height, r is radius, LA is lateral area, and BA is base

ra1l [238]

Total surface area = 2(pi)(r^2) + 2(pi)(r)(h)

6 0

3 years ago

I need help can somebody help me thank you

erastova [34]

Answer:

um I not good at this but try to 2x with 5x than 4 and 2

4 0

3 years ago

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