Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
Answer:
3: 2q − 4 = 20
Step-by-step explanation:
Solve for q:
2 q - 4 = 20
Add 4 to both sides:
2 q + (4 - 4) = 4 + 20
4 - 4 = 0:
2 q = 20 + 4
20 + 4 = 24:
2 q = 24
Divide both sides of 2 q = 24 by 2:
(2 q)/2 = 24/2
2/2 = 1:
q = 24/2
The gcd of 24 and 2 is 2, so 24/2 = (2×12)/(2×1) = 2/2×12 = 12:
Answer: q = 12
Answer:
(9,2)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(14+4)/2 = 18/2 = 9
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(-8+12)/2 = 4/2 = 2
The required x- and y- coordinates of point e, which partitions the directed line segment is (17, 11)
<h3>Midpoint of coordinates</h3>
The middle point of two coordinates is known as its midpoint. The formula for calculating the midpoint of a coordinate is expressed as:
Given the coordinate points J(-15, -5) and k(25, 15) partitioned in the ratio 1:4, the x- and y- coordinates of point e, which partitions the directed line segment is given as:
Hence the required x- and y- coordinates of point e, which partitions the directed line segment is (17, 11)
Learn more on midpoint here: brainly.com/question/5566419
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The answer is 4 7/9.
Since you cannot subtract the numerators, you have to take 1 from the whole number, so 9 turns into 8 and you add the denominator to the numerator to make the equation 8 15/9 - 4 8/9 which is 4 7/9 :).
