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Answer: 24 feet (Choice D)</h3>
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Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
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Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Yes, because if you divide 4 and 3 by 2, you get 2 and 1.5
Answer:. C is not a function.
Step-by-step explanation: If there is more than one y-value for each x-value, it can't be a function. The elipse has two y-values for each x.
Step-by-step explanation:
5x-(x+3)=1/3(9x+18)-5
5x-x+3=3x+6-5
1/3 multiplied by 9/1 is three because if you take away the ones and put your problem like this: 9/3, you'll get 3.
1/3 multiplied by 18/1 is six because if you take away the ones and switch to division, it'll look like this: 18/3. 18/3 is 6.
5x-1x+3=3x+6-5
If a variable is alone, you should - in this case - put a one before it, but if the variable is alone you should know that it's automatically a one.
4x+3=3x-1
6-5=1 Simple math problem, probably self explanatory
4x+3=3x-1
Subtract 3x from 4x and you'll get 1x because 4-3 is 1.
1x+3=-1
Then you add 3 to -1 which is 2.
The answer is 1x=2
Or you could've done:
4x+3=3x-1
-4x -4x
3=-1x-1
+-1 +-1
2=1x
It's the same answer, but all I did was subtract the 4x from the 4x and 3x.
Answer: 5
Step-by-step explanation:
Let A denotes the number of major defects and B denotes the number of design defect.
By considering the given information, we have

Now, the number of major defects or design defects:

Also,

Hence, the number of design defects were major=5