The value of x is 30 which is the correct answer would be an option (A)
<h3>What are Arithmetic operations?</h3>
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operations is called the arithmetic operator.
Operators who let do basic mathematical calculations.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given expression that x/5 = 6
To determine the value of x
⇒ x/5 = 6
Solve for x
⇒ x = 6×5
Apply the Multiplication operation
⇒ x = 30
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Given:
Rectangular coordinate = (8, 6)
To convert:
Rectangular coordinate to polar coordinate with r > 0 and 0 ≤ θ < 2π.
Solution:
Let us find r:
r = 10
Now, find θ:
Cancel the common factor 2.
θ = 36.87°
The polar coordinates are (r, θ) = (10, 36.87°).
The box plot is not symmetrical for either data set.
<h3>What is Quartile?</h3>
Quartiles divide the data values into four parts; the first quartile is the 25th percentile, the second quartile is the 50th percentile (also the median), and the third quartile is the 75th percentile.
Firstly, order the two data set from smallest to largest as shown in diagram below
The value of median, Q2 is the 5th value of both set
The value of Q1 and Q3 is the first and third quarter of the set
The range of data set one is 5-2=3 and of set two is 12-1=11
The interquartile range of set one is 5 - 2 = 3
The interquartile range of set two is 5 - 1.5 = 3.5
Thus, the box plot is not symmetrical for either data set.
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To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.
V = 4/3 π r^3
Earth:
d = 2r
d = 7926 miles
7926 = 2r
3963 miles = r
V = 4/3 π (3963)^3
V = 4/3 π (62240377347)
V = 82987169796π cubic miles
Moon:
d = 2r
d = 2159 miles
2159 = 2r
1079.5 miles = r
V = 4/3 π (1079.5)^3
V = 4/3 π (1257963209.88)
V = 1677284279.83π cubic miles
Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth
82987169796π ÷ 1677284279.83π =
approx 49
Rounding to the nearest whole number, 49 moons can fit in the earth.
Rounding to the tenth place, 50 moons can fit in the earth.
R = 7 in. Therefore d=14
C=pi x d
= 3.14 x 14
= 43.96
