Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
3979.00-781.00= 3198.00 is how much money was taken in at each game
Here total available flowers are a lily,a rose , a carnation , a daisy, a dahlia and an iris that is 6 .
And florist is going to make a five flower arrangement from the given 6 flowers without selecting a daisy. SO he have a total of 5 flowers available .
Therefore required probability = 5/6
Answer:
then what?
Step-by-step explanation:
A function assigns the values. The force that will be required to move the rock is 48 lbs.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
A.) The inverse of the function f(x)=1/x is,
f(x) = 1/x
y = 1/x
x = 1/y
g(x)=1/x
Hence, The inverse of the function f(x)=1/x is g(x)=1/x.
B.) The force that will be required to move the rock using the momentum,
9ft × 80lbs = 15 ft × F
F = 48 lbs
Hence, The force that will be required to move the rock is 48 lbs.
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