Answer:
410.1 m
Step-by-step explanation:
In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.
Tan = Opposite/Adjacent
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<h3>setup</h3>
tan(C) = BA/BC
tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values
<h3>solution</h3>
Multiplying both sides of the equation by (608 m) gives ...
(608 m)tan(34°) = BA
BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths
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<em>Additional comment</em>
Other relations in the right triangle are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
These relations are collected in the mnemonic SOH CAH TOA.
5 hours = 330 bagels to find how many in 1 hours divide by 5 1 hour = 66 bagels then do 66 x 13 = 858 so in 13 hours they bake 858 bagels
We need to position the four points so they all are on the graph of an exponential function.
As an example of an exponential function, let's use the following function:
![y=2^x](https://tex.z-dn.net/?f=y%3D2%5Ex)
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
![\begin{gathered} x=-2:\\ \\ y=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\\ \\ \\ \\ x=-1:\\ \\ y=2^{-1}=\frac{1}{2^1}=\frac{1}{2}\\ \\ \\ \\ x=0:\\ \\ y=2^0=1\\ \\ \\ \\ x=1:\\ \\ y=2^1=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D-2%3A%5C%5C%20%5C%5C%20y%3D2%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B2%5E2%7D%3D%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D-1%3A%5C%5C%20%5C%5C%20y%3D2%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B2%5E1%7D%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D0%3A%5C%5C%20%5C%5C%20y%3D2%5E0%3D1%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D1%3A%5C%5C%20%5C%5C%20y%3D2%5E1%3D2%20%5Cend%7Bgathered%7D)
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).
Step-by-step explanation:
QTP=RST
PQT=TSR (90°)
PT=RT
•°• PQT triangular = RST triangular
Answer:
999
Step-by-step explanation: