Answer:
483 feet.
Step-by-step explanation:
Observe the triangle that is given to use. Next you want to find your adjacent, opposite, and hypotenuse of angle A. AB would be considered your adjacent because it is between angle A and your 90 degree angle, your opposite would be CB because it is directly across from angle A and AC is your hypotenuse because it is directly across your right angle.
Now with your given angle you want to use SOH CAH TOA to figure out what to use for this. You are given the length of AB, which is your adjacent. You want to also find the hypotenuse therefore you would use the CAH (Cosine, Adjacent, Hypotenuse).
You would want to then see this as cos(21.3)= with x being your hypotenuse. Now you want to get x by itself so you would then set this up as 450/cos(21.3)=x. Put this in your calculator and it would equate to 482.992 which is rounded off to 483 feet.
Answer:
The slope is 3/2 or 1.5
Step-by-step explanation:
To find the slope, simply divide the rise by the run. The rise of this line can be found by subtracting one y coordinate by another (it doesn't matter which by which). The run can be found by subtracting one x coordinate by another (it doesn't matter which by which).
So, let's say, for the y coordinates, I choose to subtract 3 by 0. 3 - 0 = 3. 3 is your rise.
For the x coordinates, I can choose to subtract -5 by -7. -5 - (-7) = 2. 2 is your run.
The slope is rise/run, so your answer is 3/2, which, in decimal form, is 1.5.
Hope this helped!
Answer:
Option- one is correct.
The given system of equations have one solution that is (7,-21)
Step-by-step explanation:
Given system of equations are
Now to the solution:
To solve the given system of equations using substitution method.
That is substitute equation(1) in equation (2) we get
(here y=-3x)
(adding the like terms)
Therefore x=7
Now substitute x=7 in equation (1) we get
Therefore the solution is (7,-21)
Therefore Option- one is correct.
The given system of equations have one solution that is (7,-21)
Answer:
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Step-by-step explanation: