If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
<h3>
Number of ropes and Percent of stand area</h3>
Given:
Base area=3ft²
Height=3.2 feet
Surface area=35ft²
a. Number of ropes
Surface area=2×Base area×Base perimeter×Height
Base perimeter(BP):
35=2×3+BP×3.2
35=6+3.2BP
Collect like term
3.2BP=35-6
3.2BP=9
Divide both side by 3.2BP
BP=29/3.2
BP=9.0625ft
Number of ropes=5×9.0625ft
Nimber of ropes=45.3125ft
b. Percent of stand area:
Percent of stand area=(9.0625ft×3.2)÷35ft²
Percent of stand area=29ft²÷35ft²×100
Percent of stand area=82.857ft×100
Percent of stand area=83% (Approximately)
Therefore the number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
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You need the greatest common factor of the two numbers.
First, we find the prime factorization of each number.
72/2 = 36
36/2 = 18
18/2 = 9
9/3 = 3
3/3 = 1
72 = 2^3 * 3^2
90/2 = 45
45/3 = 15
15/3 = 5
5/5 = 1
90 = 2 * 3^2 * 5
To find the GCF, use only common factors with the lower exponent.
Both 72 and 90 have 2 as a factor. 72 has 2^3, and 90 has 2. 2 has a lower exponent than 2^3, so we use 2.
Both 72 and 90 have 3 as a factor. The both have 3^2, so we use 3^2.
90 has 5 as a factor, but 72 does not, so 5 is not a common factor, so we do not use 5.
The GCF is the product of the factor we use.
GCF = 2 * 3^2 = 2 * 9 = 18
Answer: The greatest number of students he can place in a row is 18.
Answer:
Lev is incorrect because (9, 4) is not a solution to the equation.
Step-by-step explanation:
We are given the equation: 3y - 2x = 19
When we are to check if an ordered pair is a solution to an equation, we substitute the pair in the equation and compare the RHS and LHS.
If they come to be equal then we can say that the given pair is indeed a solution to the equation.
So, here, RHS = 19
LHS = 3(4) - 2(9) = 12 - 18
= -6
19
i.e., LHS ≠ RHS
So, we can say that (x, y) = (9, 4) is not a solution to the given equation.
Answer: <CED is the right angle, which measures 90 degrees. Since the measure of a straight angle is 180 degrees. <CEA must also be 90 degrees by the Definition of Right Angle. A bisector cuts the angle measure in half. m<AEB is 45 degrees.