Answer:
178
Step-by-step explanation:
Use Pythagorean Theorem to find the Hypotenuse
30^2+72^2=78^2
Use perimeter formula
a+b+c
38+72+30
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
(m-4) / (5m)
Step-by-step explanation:
((m²-16) / (5m)) / (m+4) =
(m²-16) / (5m(m+4)) =
m²-16 / (5m²+20m) =
(m-4) / (5m)
Answer: 5¹ + 5² + 5³, 130 students
<u>Step-by-step explanation:</u>
Monday: 1 1 1 1 1 = 5 ⇒ 5¹
+ Tuesday: 1(5) 1(5) 1(5) 1(5) 1(5) = + 25 ⇒ 5²
+ Wednesday:5(5) 5(5) 5(5) 5(5) 5(5) = <u>+125 </u>⇒ 5³
130
Extra Credit: How many students will know the rumor on Thursday? 5¹ + 5² + 5³ + 5⁴
Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be = 
<em>Where r= radius of the pool = 115/2 = 57.5cm</em>
<em>h = depth of the pool =20 cm</em>
The volume of the pool will be 
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm