Starting from the formula

We can divide all the angles by 2 and we get

And finally

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

You know that

so, plug that value into the expression and you'll get cos(x/2).
Answer:
She needs 2 cups of raspberries.
Step-by-step explanation:
Consider the provided information.
Priya has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake.
So this can be written as:


Multiply both the sides by
.

2 Raspberries = 1 cake
Hence, she needs 2 cups of raspberries.
This is a Logic Problem. So we need to use operators to solve this problem. There are several operators in logic. Operators can be <em>monadic or dyadic</em>. A <em>monadic operator</em> operates on a single simple statement. Other operators will all be <em>dyadic operators </em>because they operate on two simple statements.
So we have the following simple statements:
p: the book is interesting
q: the book has pictures
Thus, let's solve each notation.
First. p ∧ q
<u>Conjunction operator.</u> <span>The conjunction operator creates a compound statement such that in order for the whole statement to be true, <em>each simple statement must be true. </em>
</span><u>Symbol:</u> & (also ∧)
<u>Parts of conjunction:</u> <span>Two simple statements joined by the conjunction symbol.
</span>
<u>Answer:</u>
<span>p ∧ q: The book is interesting and the book has pictures.
</span>Second. p ↔ q
<u>Bi-conditional operator:</u> The bi-conditional operator creates a compound statement such that in order for the whole statement to be true <em>each simple statement has to have the same truth value.</em>
<u>Symbol:</u> ↔
<u>Parts of bi-conditional:</u> Two simple statements joined by the bi-conditional symbol.
<u>Answer:</u>
p ↔ q: The book is interesting if and only if the book has pictures.
Third. p ∨ q
<u>Disjunction operator:</u> The disjunction operator creates a compound statement that is <em>true if either simple statement is true but false if both simple statements are false.</em>
<u>Symbol:</u> ∨
<u>Parts of disjunction: </u>Two simple statements joined by the disjunction symbol
<u>Answer:</u>
p ∨ q: The book is interesting or the book has pictures.
Fourth. p → q
<u>Conditional operator:</u> T<span>he conditional operator creates a compound statement that sets up a condition for something to be true. <em>If the condition is met, the statement is true.</em>
</span>
<u>Symbol:</u> →
<u>Parts of conditional:</u> <span>Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the </span><em>antecedent</em><span> and the second simple statement is called the </span><em>consequent</em><span>.</span>
<u>Answer:</u>
p → q: If the book is interesting then the book has pictures.
Answer:
-12 °F
Step-by-step explanation:
To find the total change in temperature, multiply 6 by -2, since it dropped 2 degrees each hour for 6 hours.
6(-2)
= -12
This means -12°F was the total number of degrees the temperature dropped.
Answer:
tip amount = $23.68
Step-by-step explanation:
t = tip percentage (as decimal, so 5% would be 0.05)
c = cost
tip amount = c * t
tip amount = (118.40) * (0.20) = $23.68
hope this helps :)