therefore, sin(x) = cos(90° - x).
What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)
Three consecutive integers are . . . x, x+1, and x+2
The smallest two are . . . x and x+1
Their product is . . . . . x(x+1)
5 times the largest one is . . . 5(x+2)
5 less than that is . . . . . . 5(x+2)-5
Now, the conditions of the problem say that <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .
Eliminate parentheses: x² + x = 5x + 10 - 5
Combine like terms: x² + x = 5x + 5
Subtract 5x from each side: x² - 4x = 5
Subtract 5 from each side: <u>x² - 4x - 5 = 0</u>
You could solve that by factoring it, or use the quadratic equation.
Factored, it says that (x + 1) (x - 5) = 0
From which <em>x = -1</em>
and <em>x = +5</em>
We only want the positive results, so our three consecutive integers are
5, 6, and 7 .
To answer the question, the smallest one is <em><u>5 </u></em>.
<u>Check</u>:
5 x 6 ? = ? (7 x 5) - 5
30 ? = ? (35) - 5
30 = 30
yay !
The domain is the input and the ramge is the output.
Domain = x Range = y
You cant say that the domain/range is ALL NUMBERS you can only say it is and x/y value.
Input = x. Output = y
Answer:
It is an isosceles triangle.
Angle R = 65 degrees
If side RT = 1 then sides SR and ST = 1.1831
Step-by-step explanation:
Answer:
The answer to your question is c = 
Step-by-step explanation:
Data
right triangle
short leg = 17 cm
long leg = 48 cm
hypotenuse = ?
Process
-Use the Pythagorean theorem to find the answer
c² = a² + b²
c = hypotenuse
a = short leg = 17 cm
b = long leg = 48 cm
- Substitution
c² = 17² + 48²
-Simplification
c² = 289 + 2304
c² = 2593
-Result
c =
