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3 years ago

Evaluate. [42 ÷ (2 + 3 • 2)] + [4 • (36 – 52)] I really need help!!!

Mathematics

1 answer:

juin [17]3 years ago

8 0

Ok so first we do 2 + 3 = 5 * 2 = 10 / by 42 = 4.2

other side 36 - 52 = 16 * 4 = 64 now add 4.2 + 64 = 68.2

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What is the equation for the model?

gayaneshka [121]

B five x equal to 4

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3 years ago

Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an

alisha [4.7K]

Answer:

$\sin \theta=-\frac{4}{5}$

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = $\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

Now, using the sine ratio for the angle, we have

$\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}$

Therefore, the value of $\sin \theta$ is $-\frac{4}{5}$ .

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

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3 years ago

Recall, we have five connectives in propositional logic ¬, ∧, ∨, →, ↔ (negation, conjunction, disjunction, conditional and bicon

Free_Kalibri [48]

Answer:

(a) ¬(p→¬q)

(b) ¬p→q

Step-by-step explanation

taking into account the truth table for the conditional connective:

p | q | p→q

T | T | T

T | F | F

F | T | T

F | F | T

(a) and (b) can be seen from truth tables:

for (a) p∧q:

p | q | ¬q | p→¬q | ¬(p→¬q) | p∧q

T | T | F | F | T | T

T | F | T | T | F | F

F | T | F | T | F | F

F | F | T | T | F | F

As they have the same truth table, they are equivalent.

In a similar manner, for (b) p∨q:

p | q | ¬p | ¬p→q | p∨q

T | T | F | T | T

T | F | F | T | T

F | T | T | T | T

F | F | T | F | F

again, the truth tables are the same.

For (c)p↔q, we have to remember that p ↔ q can be written as (p→q)∧(q→p). By replacing p with (p→q) and q with (q→p) in the answer for part (a) we can change the ∧ connector to an equivalent using ¬ and →. Doing this we get ¬((p→q)→¬(q→p))

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3 years ago

The figures below are rectangles. Which polynomial represents the area of the shaded region? HAVE ALL MY POINTS but answer truth

Aleks04 [339]

Answer:

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