Answer:
32.6
Step-by-step explanation:
Look at the decimal in the hundredths place in 32.62
If the number is 0-4, round down. If the number is 5-9, round up.
In 32.62, the number in the hundredths place is 2. So, we round down to 32.6
Answer:
Step-by-step explanation:
The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.
The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.
She will need to sell 18 necklaces a month to reach 1650
Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Step-by-step explanation: Given that The statements 'p', 'q' and 'r' are defined as follows.
p : it is cold,
q : it is humid,
r : it is snowing.
The statement 'it is cold and humid if and only if it is snowing' can be written as
(p∧q) ⇔ r.
We know that r ⇔ s can be written as (r⇒s)∧(s⇒r).
So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
