Answer:
3 feet
Step-by-step explanation:
Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...
A = (20 +2x)(50 +2x) = 1000 +140x +4x^2
The area of the pool alone is
A = (20)(50) = 1000
So, the area of the deck is the difference:
456 = (4x^2 +140x +1000) -(1000)
Dividing by 4 and subtracting 114, we have ...
x^2 +35x -114 = 0
(x -3)(x +38) = 0
Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.
The deck is 3 feet wide.
ANSWER:
The correct answer is
-This study is blind.
-This study is an experimental study.
STEP-BY-STEP EXPLANATION:
This study includes a controlled treatment (in this manner it is an investigation) and subjects didn't have a clue about the idea of the treatment so it is visually impaired.
Discriminant = sq root of b^2 - 4*a*c =
sq root of 36 - 4*1*13 =
sq root 36 -52 =
sq root 36 -52 =
sq root -16
There are no real solutions for this equation. Both roots are complex numbers.
Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.
To find the form of the case we need to know about the triangle congruence theorem.
<h3>What is triangle congruence theorem?</h3>
Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
- Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.
- Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.
- Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.
Given information-
Evelyn is 104 meters from the take off.
The angle of elevation of the plane is 12°.
The plane is 100 meters away from the takeoff point.
The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).
Thus the two triangle formed which are congruent.
As above discussed the case of SAS exists for the triangle congruence theorem.
Hence the given information is the SAS case.
Learn more about the triangle congruence theorem here;
brainly.com/question/19258025
Answer: 5
hrs
<u>Explanation:</u>
Jasper: 
per hr
Yolanda: 
per hr
Together: 
per hr
Jasper + Yolanda = Together
+ =
+ 
= 
3x + 21 = 7x
21 = 4x
= x
