Answers
Answer:
50 concurrent lines divide the plane in 100 parts.
Step-by-step explanation:
Table given in the picture attached,
Number of lines 1 2 3 4 5 n 50
Parts of plane 2 4 6 8 10 2n 100
There is a proportional relationship between the number of lines (x) and parts of plane (y).
y ∝ x
y = kx
For x = 1 and y = 2,
2 = 1(k)
k = 2
Therefore, equation will be,
y = 2x
For 50 concurrent lines, number of planes will be,
y = 2 × 50
= 100 planes
Related Questions
You might have noticed that the numbers, or frequencies, on an old radio dial are not evenly spaced. There is, however, some pattern to the placement of these frequencies. You will analyze this data and answer the following questions.
Frequency reading on the radio dial (kilohertz)
distance from the left end of the radio dial (centimeters)
53
1.54
60
2.17
70
2.95
80
3.62
100
4.75
120
5.67
140
6.45
170
7.43
1. a. What is the independent variable and what are its units?
b. What is the dependent variable and what are its units?
2. Make a scatter plot of the data. Describe the data set based on the scatter plot.
b. What do you expect to happen to the distance from the left end of the radio as the frequency gets higher?
c. What do you expect to happen to the distance from the left end of the radio as the frequency gets smaller?
Answers
The independent variable is distance from the left end of the radio dial and its unit is centimeters.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
The given coordinate points are (53, 1.54), (60, 2.17), (70, 2.95), (80, 3.62), (100, 4.75)
Here,
1.a) The independent variable is distance from the left end of the radio dial and its unit is centimeters.
b) The dependent variable is frequency and its units is kilohertz.
2. a) A scatter plot of the data is given below in the attachment.
b) The distance from the left end of the radio as the frequency gets higher is increases.
c) The distance from the left end of the radio as the frequency gets smaller is decreases.
Therefore, the independent variable is distance from the left end of the radio dial and its unit is centimeters.
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What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)
Answers
y intercept of the function f (x) = -2/9x + 1/3
is
\( \frac{1}{3} \)
OPTION C
Twenty-five volunteers will wear one of 6 blue, 7 green, 8 yellow, and 4 red aprons during an upcoming food drive. If the aprons are assigned randomly, what is the probability that a volunteer is assigned an apron that is NOT green?
A. 6/25
B. 7/25
C. 8/25
D. 18/25
Answers
To solve this problem, let’s first subtract the ones that ARE wearing green from the total number of volunteers. We’ll subtract 7 from 25 for an answer of 18. Then, we’ll put the 18 over 25 and this will represent how many volunteers are NOT wearing green out of the total number of volunteers. My work is below, please let me know if you have any questions! :)
25 - 7 = 18
18/25 = Probability of volunteers NOT wearing green out of the total number of volunteers
Summer earns 15% commission onsales for a software company. If inone week she makes three sales.one at $375, one at $1.200, and oneat $900. how much did Summerearn that week?
Answers
She made
\(375+1200+900=2475\)in sales. Then, she earned
\(0.15(2475)=371.25\)$371.25 that week.
Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence interval for the difference
Answers
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For district C,
x = 22
n1 = 100
p1 = 22/100 = 0.22
For district M,
x = 26
n2 = 100
p2 = 26/100 = 0.26
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.22(1 - 0.22)/100 + 0.26(1 - 0.26)/100]
= 1.96 × √0.00364
= 0.12
Confidence interval = (0.22 - 0.26) ± 0.12
= - 0.04 ± 0.12
The required 95 percent confidence interval for the difference is ( 0.8, 0.16).
Given that,
A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"
An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.
We have to determine,
A 95 percent confidence interval for the difference.
According to the question,
A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"
An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.
Confidence interval for the difference in the two proportions is written as,
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
From a random sample of 100 voters in District C,
\(x = 22\\\\n_1= 100\\\\p_1 = \dfrac{22}{100} = 0.22\)
From a random sample of 100 voters in District M,
\(x = 26\\\\n_1= 100\\\\p_1 = \dfrac{26}{100} = 0.26\)
Therefore,
\(Margin \ of \ error = \sqrt{\dfrac{p_1(1-p_1}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}\)
To determine the z score, subtract the confidence level from 100% to get b
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since, the area in the middle, it becomes
1 - 0.025 = 0.975
The z-score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96,
\(Margin \ of \ error = \sqrt{\dfrac{0.22(1-0.22)}{100} + \dfrac{0.26(1-0.26)}{100}}\)
\(= \sqrt{\dfrac{0.22(0.78)}{100} +\dfrac{0.26(0.76)}{100}}\\\\= \sqrt{\dfrac{0.17}{100}+ \dfrac{0.19}{100}}\\\\= \sqrt{\dfrac{0.36}{100}}\\\\= \sqrt{0.0036}\\\\= 0.06\)
Then, Confidence interval is given as;
\((0.22 - 0.26) \pm 0.12\\\\(-0.4) \pm 0.12\\\\(-0.4+0.12 , -0.4-0.12)\\\\(0.8, 0.16)\)
Hence, The required 95 percent confidence interval for the difference is( 0.8, 0.16)
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if y varies directly with x and y is 10 when x is 5 then what is y when x is 2
Answers
Answer:
y is 4
Step-by-step explanation:
so the equation is y = kx ( k is the constant)
We've been given x as 5 & y as 10 so we can use these values to find the constant .
10 = k(5)
k = 2
so now , we can find y
y = 2 × 2
y = 4
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answers
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Kathy and her brother Clay recently ran in a local marathon. The distribution of finishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. The finishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clayâs marathon time. Show your work.
Answers
Answer:
Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
Step-by-step explanation:
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).
Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,
\(Z=\frac{x-\mu}{\sigma}\sim N(0, 1)\)
This, z-score is known as the standardized score.
It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.
The finishing time for Clay was x = 289 minutes.
Compute Clay's z-score as follows:
\(Z=\frac{x-\mu}{\sigma}\)
\(=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68\)
Thus, Clay's standardized score is 1.68.
That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
plzz hellp this is so hard
Answers
Answer:
the correct answer is 290 / 605
Solve. 10x^2 - 6 = 9
Answers
Answer:
x = ±sqrt(3/2)
Step-by-step explanation:
10x^2 - 6 = 9
Add 6 to each side
10x^2 - 6+6 = 9+6
10x^2 =15
Divide each side by 10
10x^2/10 = 15/10
x^2 = 3/2
Take the square root of each side
sqrt(x^2) = ±sqrt(3/2)
x = ±sqrt(3/2)
Ok so I wanna know how to solve this. Is it like (3x+6)+24=(2x+8) or like (3x+6)+(2x+8)+24=180
Answers
Answer:
24+(2x+8)=3x+6 is the way you set it up
26 is the anser
Step-by-step explanation:
24+2x+8=3x+6
add the 24 and 8
2x+32=3x+6
subtract 6 from both sides
2x+26=3x
subtract 2x from both sides
x=26
This question is designed to be answered without a calculator.
If f(x) = 5(x2 – 1), thenLimit of StartFraction f (x) minus f (2) Over x minus 2 EndFraction as x approaches 2 =
0.
5.
10.
20.
Answers
The limit of [f(x) - f(2)]/[x - 2] as x approaches 2 is 20
How to evaluate the limit as it approaches 0From the question, we have the following function that can be used in our computation:
f(x) = 5(x2 – 1)
Rewrite as
f(x) = 5(x² – 1)
The limit is given as
[f(x) - f(2)]/[x - 2]
Calculate f(2)
So, we have
f(2) = 5(2² – 1)
Evaluate
f(2) = 15
Substitute f(2) = 15 in [f(x) - f(2)]/[x - 2]
So, we have
[f(x) - f(2)]/[x - 2] = [5(x² – 1) - 15]/[x - 2]
Open the brackets
[f(x) - f(2)]/[x - 2] = [5x² – 5 - 15]/[x - 2]
Evaluate the like terms
[f(x) - f(2)]/[x - 2] = [5x² – 20]/[x - 2]
Factorize
[f(x) - f(2)]/[x - 2] = [5(x² – 4)]/[x - 2]
Express as difference of two squares
[f(x) - f(2)]/[x - 2] = [5(x – 2)(x + 2)]/[x - 2]
Divide
[f(x) - f(2)]/[x - 2] = 5(x + 2)
Limit x to 2
[f(x) - f(2)]/[x - 2] = 5(2 + 2)
Evaluate
[f(x) - f(2)]/[x - 2] = 20
Hence, the limit is 20
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Refer to Where Is Niagara Falls? for a complete version of this text.
In Chapter 3, people realize that building a bridge across the gorge of Niagara Falls will bring more tourists to the area.
Which detail best explains why building the first bridge to cross the gorge is such a difficult task?
“Even at the narrowest spot, the gorge was eight hundred feet wide.”
“But there was still one thing missing—something the businessmen knew they needed.”
“A ferryboat was built to take people from the US side to Canada.”
“…tourists had a perfect view of some of the crazy, dangerous things some people would soon do…”
Answers
Answer:
Step-by-step explanation:
the answer is B, i just took a test on that and got that question right, trust me!
Answer:
B
Step-by-step explanation:
Did test
Answer fast please and thank you!!
Answers
Answer:
Option a
Step-by-step explanation:
Using distributive property:
y(x+7)=y•x+y•7
=yx+7y
Answer:
a
Step-by-step explanation:
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
The ratios 9:18, 12:24, 15:30, 18:36, and 21:42 form a pattern of equivalent ratios. What is another ratio in the pattern? Please help.
Answers
Answer:
3 : 6
Step-by-step explanation:
in all the ratios, the first number is multiplied by 2 to get the second number
ex. 9 × 8 = 18 and 15 × 2 = 30
so you can use any two numbers that follow this pattern
my answer : 3 × 2 = 6 so 3 : 6 works in this pattern
Select all the true statements. a.b.Two squares with the same side lengths are always congruent.Two rectangles with the same side lengths are always congruent.C.Two rhombuses with the same side lengths are always congruent.d. Two parallelograms with the same side lengths are always congruent.e.Two quadrilaterals with the same side lengths are always congruent.Tania drew the figures FFGHLand F'F'G'H'l'on a grid as shown below2
Answers
Answer:
gghhhihh8
Step-by-step explanation:
vcdcbnjubvxdghgfhhggh
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answers
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
calcula la fracción generatriz de 0,245 y da como respuesta su numerador
Answers
Answer: 49/200, numerador= 49
Step-by-step explanation:
Hi here equation everybody please help thanks
Answers
Answer: 2(3x+1)
Step-by-step explanation:
2(3x+1) ==> 2(3x)+2(1)
6x+2
Answer:
2(3x + 1)
Hope that helps! :)
Step-by-step explanation:
25 + 12x (24 + 3) - 15 21.3
Answers
Answer:
324x-1496.3
Step-by-step explanation:
which of the following piecewise graphs is not a function
Answers
Answer:
The first graph is not a function because it has two values at x = 3. Definition of a function is that it is a relation that assigns exactly one value for each value on its domain
Given f(x) = - 3x + 1 , solve for a when f(x) = - 5 .
Answers
Answer:
x=2
Step-by-step explanation:
-5=-3x+1
-1 -1
-6=-3x
divide both sides by -3
x=2
The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = - 3x + 1.
Now, when f(x) = - 5 the equation would be,
- 5 = - 3x + 1.
- 5 - 1 = - 3x.
- 6 = - 3x.
3x = 6.
x = 2.
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VERY EASY 20 POINTS
The graph of y = f(x) is shown below, in red. Find the equation that corresponds to the blue graph.
Answers
Answer:
y = f(x) + 3
Hope this helps!
Step-by-step explanation:
Because the graph went up 3...
Answer:
y = f(x) + 3
Hope this helps!
Step-by-step explanation:
Because the graph went up 3...
THIS IS DUE IN 10 MINUTES I WILL AWARD BRAINLIEST
fill in the chart
Answers
percent row: 120% 0.03% 15%
Decimal row: 1.2 0.0003 0.15
Fraction row: 12/ 10 3/10000 3/20
Find the value of x.
72 + 24x = 288
Answers
Answer:
X = 9
Step-by-step explanation:
1. Subtract 72 from both sides.
24x = 216
2. Divide 24 on both sides
x = 9
Answer:
X = 9
Step-by-step explanation:
We have to separate the like terms
72 + 24x = 288
24x = 288 - 72
24x = 216
We then divide both sides by 24
X = 9
NO LINKS!! URGENT HELP PLEASE!!!
NOT MULTIPLE CHOICE!!
8. a. Finish the table
b. Name the type of sequence
c. Find the equation for the following sequence
Answers
Answer:
7: 63
8: 73
arithmetic sequence
y = 10x - 7
or f(n) = 10x -7
or
\(a_{n}\) = 3 + (n-1)10
Step-by-step explanation:
the output increases by 10 every time that the input increases by 1. That gives us our common difference or slope. The y intercept is -7. That is the value is you worked backwards until you get to n = 0. The initial value is 3. That is when n is 1.
When n is 3, f(n) is 23
When n is 2, f(n) is 13
When n is 1, f(n) is 3
When n is 0, f(n) is -7
I am not sure if this is clear. I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence. If my explanation is confusing it is me and not you.
Answer:
a. 63,73
b. Arithmetic sequence
c.t(n)=10n-7
Explanation:
a. Here is the completed table:
n | t(n)
4 | 33
5 | 43
6 | 53
7 | 63
8 | 73
b.
The type of sequence is arithmetic.
An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.
In this case, the difference between any two consecutive terms is 10.
c.
The equation for the arithmetic sequence is:
t(n)=a+(n-1)d
where:
t(n) is the nth term in the sequencen is the term numberd is the common differencea is the first termFor Question:
d=43-33=10a=?Now
equation becomes:
t(4) = a+(4-1)10
33=a+30
a=33-30
a=3
Now, the Equation becomes
t(n) = 3+(n-1)10
t(n) = 3+10n-10
t(n)=10n-7
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
Answers
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1