Answer:
4.8 km is the answer.
Step-by-step explanation:
a = ?
b = 5 km
c = 7 km
According to the Pythagorean theorem,
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 49 - 25
a² = 24
a = 4.8989
Round to the nearest tenth,
a = 4.8 km
Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)
In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.
<h3>What is a rebound line?</h3>
Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.
The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.
We have a statement:
The rail of the table can be considered which of the following when making a bank shot:
The answer is a rebound line.
As the definition of the rebound line, the table's rail can be used as a rebound line.
Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.
Learn more about the rebound line here:
brainly.com/question/15504221
SPJ1
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
