The Pythagorean Theorem states that
, where a and b are the legs of a right triangle and c is the hypotenuse of the same triangle.
Answer:
Step-by-step explanation:
"Two times one number added to three times a second number is 21.
2x + 3y = 21
"The second number is ten less than five times the first number"
y = 5x-10
Substitution
2x+3(5x-10) = 21
2x + 15x - 30 = 21
17x = 51
x = 3
y = 5x-10 = 5
Y - 1 = 4y - 2/3. Move the ys over to one side, +4y crosses over to become -4y,
and -1 crosses over the right side to become +1.
y -4y = -2/3 + 1
-3y = 1 - 2/3
-3y = 1/3 Divide both sides by -3.
-3y/-3 = (1/3) / -3.
y = 1/3 * -1/3
y = - 1/9
Answer:
1.)4188.79
2.) 7238.23
3.)1.02
4.)4189
5.)170 cm³
Step-by-step explanation:
1.) 4πr2 * 5
2.) 4πr2 * 12
3.) V = 4/3(PI*r3). *4.5
4.) V = 4/3 π r ^3 * 10
5.) Given:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
There is 170 cm³ free space in the container.
1) X^5Y/X^5= X^0Y= Y (Anything raise to power of 0 is 1)
2)(3mn)^1= 3mn
3)m^-4xM^5= M^-4+5= M
4) 5^-4x5^4= 5^-4+4= 5^0= 1
5) nm^3/n^3m= n^1-3m^3-1= n^-2m^2= m^2/n^2
6) (-2)^0= 1
therefore number 4 and 6 has the value of 1
