Answer:
see below
Step-by-step explanation:
We need to find the diameter of the square
We can find this using the Pythagorean theorem
a^2+b^2 = c^2 where the legs are 7 and 7 and the diameter is c
7^2 +7^2 = c^2
49+49 = c^2
98 = c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
9.899494937 = c
Since 9.9 is less than 11 which is the diameter of the circle it will never touch the circle.
Since the longest part of the square is less than the diameter of the circle, the square will fit inside the circle without touching
Answer:
Step-by-step explanation:
Option C: 
is the surface area of the rectangular prism
Explanation:
The height of the rectangular prism is 5 cm
The width of the rectangular prism is 10 cm
The depth of the rectangular prism is 4 cm
We need to determine the surface area of the rectangular prism.
The surface area of the rectangular prism can be determined using the formula,
Substituting 
, 
and 
in the formula, we get,
Multiplying the terms within the bracket, we have,
Adding all the values within the bracket, we get,
Multiplying, we have,
Thus, the surface area of the rectangular prism is
Hence, Option C is the correct answer.
Answer:
√7x−49√x
Explanation:
First of all, expand by multiplying √7x⋅√x and √7x⋅7√7respectively:
√7x(√x−7√7)=√7x⋅√x−√7x⋅7√7
... you can express √7x as √7⋅√x...
=√7⋅√x⋅√x−√7⋅√x⋅7⋅√7
=√7⋅(√x)2−(√7)2⋅√x⋅7
... the operations squaring and taking the square root "eliminate each other"...
=√7⋅x−7⋅√x⋅7
=√7x−49√x
Hope that this helped!
It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.
1. C. Discrete
2. A. interval
3. B. Quantitative data
4. B. Ratio
5. C. Quantitative
1. A random variable is called discrete if it has either a finite or a countable number of possible values.
A random variable is called continuous if its possible values contain a whole interval of numbers.
2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.
3. Quantitative data consist of numerical measurements or counts.
4. Something measured on a ratio scale has the same properties that an interval scale has except, with a ratio scaling, there is an absolute zero point. Temperature measured in Kelvin is an example.
There is no value possible below 0 degrees Kelvin, it is absolute zero.
5. Qualitative data can be separated into different categories that are distinguished by some non-numeric characteristics.
To learn more about the data visit:
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