The area of the surface of the pool is 7322.64 m².
<h3>What is Area of rectangle?</h3>
The area of rectangle is product of length and its breadth.
i.e., length * breadth
Given: Length = 100 m, Width = 52 m and Diameter = 52 m
Area of rectangle,
= 100 × 52
= 5200 m²
Now,
Area of semicircle = 1/2 × πr²
=1/2 × 3.14 × 26²
= 1061.32 m²
Hence, area of the surface of the pool is
= 1061.32 + 1061.32 + 5200
= 7322.64 m²
Learn more about this concept here:
brainly.com/question/15461609
#SPJ1
To enable the completion of the proof that line <em>l</em> is parallel to line <em>m</em>, a
diagram showing the lines and their common transversal is attached.
The completed two column proof is presented as follows;
Statement
Reason
1. ∠1 and ∠2 are supplementary angles
1. Given
2. m∠1 + m∠2 = 180°
2. <u>Definition of supplementary ∠s</u>
3. ∠1 and ∠3 are supplementary angles
3. Exterior sides in opposite rays
4. <u>m∠1 + m∠3 = 180° </u>
4. <u>Definition of supplementary ∠s</u>
5. m∠1 + m∠2 = m∠1 + m∠3
5. <u>Transitive property of equality</u>
6. <u>m∠2 = m∠3 </u>
6. <u>Subtraction property of equality</u>
7. l ║ m
7. <u>Converse of alternate interior </u>
<u>angles postulate</u>
Reasons:
- Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°
- Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)
- Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles
- Reason for statement 5: Transitive property of equality describes the property that if a number <em>x</em> = <em>y</em>, and <em>z </em>= <em>y</em>, then <em>x</em> = <em>z</em>.
- Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality
- Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two lines and a common transversal are congruent, the two lines are parallel.
Learn more here:
brainly.com/question/25178453
8^2-6^2=28
the square root of 28 is 5.29
5.29×2=10.58
x=10.58
Answer:
The area is 6.25 times greater.
Step-by-step explanation:
Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.
The area will increase to 2.5^2 = 6.25 times.