Answer:
a. √29
Step-by-step explanation:
The formula for the magnitude of a vector is magnitude = sqrt(x^2 + y^2).
For vector (5, -2):
magnitude = sqrt(5^2 + -2^2)
magnitude = sqrt(25 + 4)
magnitude = sqrt(29)
Therefore, the answer is √29.
Hope this helped :D
Answer:
96 sq. cm.
Step-by-step explanation:
A "kite" has 2 diagonals, which are the "width" and "height" of the kite.
Using diagonals, the area of a kite is given by 
Where
A is the area
p,q are the width and height, respectively
From the problem given, p is 12 and q is 16, so the area is:

Thus, the area is 96 sq. cm
Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.
<h3>What is the odd of an event?</h3>
It is given by the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.
Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:
18:82 = 9:41
The odds that the winner shops in the store 4 or more times a week are given by: 9:41.
More can be learned about odds at brainly.com/question/25683609
Answer:

Step-by-step explanation:
The <u>width</u> of a square is its <u>side length</u>.
The <u>width</u> of a circle is its <u>diameter</u>.
Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.
<u>Formulas</u>



If the diameter is equal to the side length of the square, then:

Therefore:

So the ratio of the area of the circle to the original square is:

Given:
- side length (s) = 6 in
- radius (r) = 6 ÷ 2 = 3 in


Ratio of circle to square:

An example of a ratio would be:
1:2
3:4
5:6
An example of a proportion would be:
1/2
3/4
5/6
Hope this helps!