Answer:
tangent theta = 12/5,
cosecant theta = 13/12
secant theta = 13/5
Cotangent theta = 5/12
Step-by-step explanation:
Given sine theta= 12/13, cosine theta= 5/13.
According to SOH CAH TOA
Sintheta = Opposite/Hypotenuse = 12/13
Cosine theta = Adjacent/Hypotenuse = 5/13
Opposite = 12, Adjacent = 5, Hypotenuse = 13
Tan theta = Opposite/Adjacent = 12/5.
cosecant theta = 1/sintheta = 1/{12/13}
cosecant theta = 13/12
secant theta = 1/cos theta = 1/{5/13}
Secant theta = 13/5.
Cotangent theta = 1/tan theta = 1/{12/5} = 5/12
Answer:
30
Step-by-step explanation:
For the minimum free throws, he must put every throw to the basket.
So, let n be the number of throws for Tuesday, in which all the throws are successful.
So, over both the days, total free throws he makes= 15+n.
Total numbers of throws that went in the basket= 6+n.
As he wants at least 80% of his balls to go in the basket.
So, 6+n is greater than or equal to 809% of 15+n, i.e



Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.
Answer:
we dont know an exact but
Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean
Step-by-step explanation:
Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = ![\frac{PMT}{r}[1-(1+r)^{-t} ]\\](https://tex.z-dn.net/?f=%5Cfrac%7BPMT%7D%7Br%7D%5B1-%281%2Br%29%5E%7B-t%7D%20%5D%5C%5C)
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA = ![\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]](https://tex.z-dn.net/?f=%5Cfrac%7B300%7D%7B0.005%7D%20%5B%201-%281%2B0.005%29%5E%7B-168%7D%20%5D)
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years
Domain: (-infinity, infinity)
Range: (-infinity, infinity)