Slope is - 4 and the line passes through the point (1,3 )

Solve for x rounded to the nearest tenth. X 18 cos 70 =x/18

love history [14]

Answer:

6.2 =x

Step-by-step explanation:

cos 70 =x/18

Multiply each side by 18

18cos 70 =x/18 *18

18cos 70 =x

6.15636258 = x

To the nearest tenth

6.2 =x

5 0

3 years ago

Read 2 more answers

I need the answer hurry

Basile [38]

I think it's 2 because crossing things out as if it were in a line is 0 and 4. 4/2 is 2

3 0

3 years ago

For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)

spayn [35]

Answer:

The statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

The statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ , you need to use the logic laws as follows:

$(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv$

$\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A)$ by the logical equivalence involving conditional statement.

$\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A)$ by the Commutative law.

$\equiv \lnot B \lor (\lnot A \land A)$ by Distributive law.

$\equiv \lnot B \lor (A \land \lnot A)$ by the Commutative law.

$\equiv \lnot B \lor F$ by the Negation law.

Therefore the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

b) To classify the statement $(P\rightarrow \lnot P)\land P$ , you need to use the logic laws as follows:

$(P\rightarrow \lnot P)\land P \equiv$

$\equiv (\lnot P \lor \lnot P)\land P$ by the logical equivalence involving conditional statement.

$\equiv P \land (\lnot P \lor \lnot P)$ by the Commutative law.

$\equiv (P \land \lnot P) \lor (P \land \lnot P)$ by Distributive law.

$\equiv F \lor F \equiv F$ by the Negation law.

Therefore the statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

8 0

3 years ago

In Kayllie'srecipe for lemonade, the ratio of lemons to water is 7 to 4. People are complaining that the lemonade is too weak. W

katrin [286]

Answer:

B.) 10 to 5 and D.) 8 to 4.

Step-by-step explanation:

Since we are trying to make the lemon taste stronger, there would need to be more lemons than water. The ratio would need to have a larger difference than 7:4. The difference is 3.

Choice A has a difference of 2. Two is less than 3 so this would taste more watery than lemony. Choice C has a difference of 3. Because we want a stronger lemon taste, this won't work. It would taste the same.

Choice B has a difference of 5. This is greater than 3 so the lemon taste will be stronger. Choice D has a difference of 4, this is also greater than 3 and will also make the taste of lemon stronger.

Hope this helps,

♥A.W.E.S.W.A.N.♥

5 0

3 years ago

The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x

DaniilM [7]

Answer:

The equation x = y-8

The equation (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

Explanation:-

Step(l):-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given data x y = 240 …(l)

Given data the first number is 8 less than the second number.

x = y-8...(ll)

Substitute (ll) in equation (l) , we get

(y-8) y = 240

$y^{2} -8y -240 =0$

$y^{2} -20y+12y -240 =0$

$y(y -20)+12(y -20) =0$

$(y +12)(y -20) =0$

y = -12 and y = 20

Y= -12 is not satisfied

we can choose y = 20

Step(ll):-

Given data x =y-8

substitute value y = 20 in x = y -8

x = 20-8 = 12

Final answer:-

The first number x = 12 and second number y =20

4 0

3 years ago

Slope is - 4 and the line passes through the point (1,3 )​

Slope is - 4 and the line passes through the point (1,3 )