Answer:
The answer to your question is 13.2 ft
Step-by-step explanation:
Data
length of the ladder = hypotenuse = 16 ft
adjacent side = 9 ft
opposite side = ?
Process
1.- To solve this problem use the Pythagorean theorem
c² = a² + b²
Solve for b²
b² = c² - a²
2.- Substitution
b² = 16² - 9²
3.- Simplification
b² = 256 - 81
b² = 175
b = 13.2 ft
4.- Conclusion
The ladder is 13.2 ft resting against the building.
This is a permutation problem in which you are to arrange the objects and the order doesn't matter. You can easily calculate it using your scientific calculator. Just use the formula nPr, where n is the total number of objects taken r at a time.
PAYMENT = 7 letters => 7P5 = 2520
There are 2,520 ways
For butterfly, its quite tricky because there are two letters. Oder does matter here, since no matter which t comes first, that is still the same. So, this is what you do:
BUTTERFLY = 9 letters
9P5 ÷ 2! => since there are two same letters
15120 ÷ 2 = 7560
There are 7560 ways.
Answer:
h = -5
Step-by-step explanation:
The two terms can be combined to simplify the equation to ...
100 = -20h
-5 = h . . . . . . . divide by -20
The equation is true when h = -5.
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<em>Check</em>
-25(-5) +(-5)(5) = 125 -25 = 100 . . . as required
The value of x is x=2.57338 and x=−0.906718
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
3x²-5x-7=0
Using the discriminant method,
a = 3, b = -5, and c = -7
x= -b± √b²-4ac / 2a
x= 5 ± √25 + 84/ 6
x= 5± √ 109
Hence, x=2.57338 and x=−0.906718
Learn more about this concept here:
brainly.com/question/24727211
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40x 60 = 2400. so the area could be 2400.