Answer:
82.8424 feet
Step-by-step explanation:
The leaf, the base of the tree and the top of the tree form a triangle.
The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):
tan(46) = h/80 = 1.0355
h = 80*1.0355 = 82.8424 feet
Answer:
C. 1/9
Step-by-step explanation:
Assuming the selections are independent, their joint probability is the product of the probabilities of the individual events.
P(pink square) = (# pink squares)/(# squares) = 16/60 = 4/15
P(red or blue round) = (#red or blue rounds)/(# rounds) = 15/36
Then the joint probability is ...
P(defined event) = (4/15)(15/36) = 4/36 = 1/9
Answer:
b = -2c ± [√(4π²c² + πA)]/π
Step-by-step explanation:
A = 4πbc + πb^2
A = 4πbc + πb²
πb² + 4πbc - A = 0
Using the quadratic formula to solve this quadratic equation.
The quadratic formula for the quadratic equation, pb² + qb + r = 0, is given as
b = [-q ± √(q² - 4pr)] ÷ 2p
Comparing
πb² + 4πbc - A = 0 with pb² + qb + r = 0,
p = π
q = 4πc
r = -A
b = [-q ± √(q² - 4pr)] ÷ 2p
b = {-4πc ± √[(4πc)² - 4(π)(-A)]} ÷ 2π
b = {-4πc ± √[16π²c² + 4πA]} ÷ 2π
b = (-4πc/2π) ± {√[16π²c² + 4πA] ÷ 2π}
b = -2c ± [√(4π²c² + πA)]/π
Hope this Helps!!!
Answer:
1/2
Step-by-step explanation:
from point to point, you rise by one and run to the right by two
therefore, slope = 1/2
Answer:
Part A: (0.25+0.30+0.75) - 0.20
Part B:
Step-by-step explanation:
The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).
So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:
(0.25+0.30+0.75) - 0.20
The simplified equation will be:
1.3 - 0.20
= 1.1
I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.
Best of luck, and have a blessed day! For any question or comments, please say so!
