On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at Platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform C? Write your answer to the nearest tenth of a foot.
Answers
The distance between B and C is 26.926 units.
What is distance formula?The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
The zip-line course distance from platform A to platform F are given
Coordinates of B = (-25, -20)
coordinates of C = (-15, 5)
Now, the distance between B and C is
= `√(5-(-20))² +((-15)-(-25))²
=√25² + 10²
= √725
= 26.926 units.
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Related Questions
if a= (-3 -9 -3 -4 -3 9 7 9 -10) and b= (9 1 6 3 -10 5 -1 9 -9) find -7A -4B?
Answers
Answer: Choice A
[tex]\begin{pmatrix}-15 & 59 & -3\\16 & 61 & -83\\-45 & -99 & 106\end{pmatrix}[/tex]
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Explanation:
In matrix A, the upper left corner is -3
Multiply this with -7 to get -7*(-3) = 21
So we'll have 21 in the upper left corner of matrix -7A. The other entries will be handled in a similar fashion.
Meanwhile, the upper left corner of matrix B is 9. Multiply this with -4 to get 9(-4) = -36 which is the upper left corner entry of matrix -4B
Combine those products: 21 + (-36) = -15
The number -15 is the upper left corner entry in matrix -7A-4B
This points us to choice A as the final answer.
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Answers
The value of the length of the scaled up rectangle is 12.8 unit.
What is a Rectangle ?A rectangle is a polygon with four sides , the opposites are parallel and equal.
It is given in the figure that
A rectangle 4* 8 is scaled up and a new rectangle is formed α * 25.6
Scale factor = 25..6/8 =3.2
The value of the length therefore will be
4 * 3.2 = 12.8 unit
Therefore the value of the length of the scaled up rectangle is 12.8 unit.
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Which x-value is in the domain of the function f (x) = 4cot(2x) + 3?
0
pi over 3
pi over 2
π
Answers
Answer: pi/3
Step-by-step explanation:
All of the other answers are asymptotes of the function, which by definition means they are not included in the domain, because they are undefined in the domain at that point. If you graph the function and graph all of those x values, you will see that (pi/3) is the only line that crosses the function.
Also, I took the test and got it right.
Only the value of x , [tex]\frac{\pi }{3}[/tex] is in the domain of the function.
What is domain of a function?The domain of a function is the set of values that we are allowed to plug into our function which makes the function defined.
What are the trigonometric functions?The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.
According to the given question.
We have a trigonomtery function.
[tex]f(x) = 4cot(2x)+3[/tex]
The above trigonometry function can be written as
[tex]f(x) = 4\frac{cos(2x)}{sin(2x)} + 3[/tex]
For the function to be defined the denominator can't be zero.
[tex]sin(2x) \neq 2n\pi ( n \in0, 1, 2, 3, ..)[/tex]
Therefore, from the given values for the x we can only put [tex]\frac{\pi }{3}[/tex] in the given function because [tex]\frac{\pi }{2}[/tex] makes the denominator o which makes the function undefined. Similarly for the π also.
Hence, only the value of x , [tex]\frac{\pi }{3}[/tex] is in the domain of the function.
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THERE ARE 5 RED MARBLES, 8 BLUR MARBLES, AND 12 GREEN MARBLES IN A BAG. SEVERAL TRIALS ARE PERFORMED WITH THE RESULTS SHOWN IN THE TABLE. WHAT IS THE EDPERIMENTAL PROBABILITY OF RANDOMLY DRAWING A GREEN MARBLE?
Answers
The experimental probability is 56% i.e., 28.
What is probability?
The probability is the measure of the likelihood of an event to happen.
Given:
Total marbles= 8 + 12 + 5= 25 marbles
Total trials= 12+28+10 = 50 trials
So, the experimental probability is 56% for the green marble.
= 56% of 50
= 56 /100 *50
= 56/2
= 28
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