Let the numbers be x and y
x + y = 100
-
x - y = 26
________
0x + 2y = 74
2y = 74
y = 74/2 = 37
y is actually the less number = 37. The second equation tells y is lesser.
Answer:
Use the Pythagorean theorem for right triangles to solve this
a^2 + b^2 = c^2 where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse
so:
8^2 + b^2 = 17^2 solve for the second leg, b
64 + b^2 = 289
b^2 = 289 - 64= 225
b = 15
Answer:
The answer is E) 1 and 2
Step-by-step explanation:
Given that s and t are greater than 1.
Let's assume that s = 4 and t = 2 and n = 8 (each on is a factor of the integer 8)
Now check for the options -
1) ( Can be a factor of )
2) ( Can be a factor of )
3) ( Cannot be a factor of )
Thus, the option is E
Answer:
- r = √(3V/(πh))
- r ≈ 5.03 feet
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (1/3)πr²h
This formula can be used to find the radius, or we can rearrange it to solve for the radius:
3V = πr²h . . . . multiply by 3
(3V)/(πh) = r . . divide by the coefficient of r²
r = √(3V/(πh)) . . . . take the square root
__
We can fill in the given values to find the radius.
r = √(3·225/(π·8.5)) = √(1350/(17π)) ≈ 5.03 . . . . feet
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.