Answer:
10.4 to nearest tenth.
Step-by-step explanation:
If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.
Altitude of each triangle = sqrt(2^2 - 1^2)
= sqrt3.
So the area of 1 triangle = 1/2 * 2 * sqrt3
= sqrt3
Therefore the area of the hexagon = 6 * sqrt3
= 6sqrt3
= 10.3923
Answer:
x = 6/√3 = 2√3
y = 2×2√3 = 4√3
So, 1st option is correct
Answer:option c is the correct answer.
Step-by-step explanation:
A toaster oven costing $130 offers an extended warranty for 25% of the purchase price. This means that the money value of the warranty is
25/100 × 130 = 0.25 × 130 = $32.5
If the local repair shop will fix a toaster oven for $8, then the number of times that the toaster oven will break in order for the warranty to pay for itself is
32.5/8 = 4.0625
Therefore, it is 4 times
Answer:
Option C. Quantitative, because numerical values, found by either measuring or counting, are used to describe the data.
Step-by-step explanation:
We are given the following in the question:
Variable: Final exam scores (from 0 to 100) for graduating high school seniors.
The following variable is a quantitative variable.
Quantitative variable:
- Their values are expressed in numerical.
- They are either measured or counted.
- Descriptive terms are not used to describe them.
- They can either be continuous or discrete.
Since final scores have numerical values and are counted, they are quantitative variables.
Option C. Quantitative, because numerical values, found by either measuring or counting, are used to describe the data.
Level of measurement:
A score of zero means no true existence for score. That is true zero exist.
Thus, it is ratio because difference between the values in data can be compared meaningful and they have a true zero.
We are given the coordinate of the 3 vertices. From these coordinates we can find the length of the sides using the distance formula and the sum of all the sides will be equal to the perimeter of the triangle.
Side PQ =
Side QR =
Side RP =
So, the perimeter of the triangle will be 8 + 4.5 + 7.2 = 19.7
You probably misplaced the digits in option A. The correct answer is 19.7 units.