Answer:
C no solution.
Step-by-step explanation:
The lines are parallel, they will never intersect.
Forty-five percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 125 randomly selected individuals and found 50 believed that there is life on other planets. At α=0.10, is there sufficient evidence to conclude that the percentage differs from 45%? Use the P-value method with tables.
Hypothesis test is a two-tailed test. Compute the test value. Always round z score values to two decimal places.
We will reject the H0 as there sufficient evidence is obtained that the percentage of people who believe that there is life on planets differs from 50%.
It is given that the sample size, (N) is 125
Probability (P)= 0.50 or 50%
P'= 50/120= 0.4166
Significance level ([tex]\alpha[/tex])=0.10
If we consider the null and alternative hypotheses, they are:
H0= 0.50
H1≠ 0.50
For conducting the test statistics:
Z= [tex](P'-P)/\sqrt{P*(1-P)/N}[/tex]
Z= [tex](0.41-0.50)/\sqrt{0.50*0.50/125}[/tex]
Z= -2.01
The critical value of Z at [tex]\alpha[/tex]=0.10 is 1.645 or -1.645
And the P- value at Z= 2.01 is 0.04
Decision Criteria: If the P-value is less than the significance level, we reject the H0. Also, if the Z is found to be greater than the critical value, we will reject H0.
Thus, in this case, we see that, the P-value, 0.04 is less than the significance level, i.e., 0.10, we will reject the H0.
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I need help fast please!!
Name the Property of Congruence that justifies the statement:
A. Symmetric Property
B. Transitive Property
C. Reflexive Property
D. none of the above
Answer:
A. Symmetric Property
Step-by-step explanation:
The Symmetric Propertry states that if x = y, then y = x.
Since XY = WX, and WX = XY, its the Symmetric Property.
Subtract and choose the answer in simplest form.
1\frac {(3)} {(4)}-\frac {1} {3}
(4)
(3)
−
3
1
The required evaluation to the given expression is 5/12.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The expression is given in the question as:
1 3/4 - 1/3 (4)(3) - 1/3
We have to determine the evaluation to the given expression
As per the given question, we have
⇒ 1 3/4 - 1/3 (4)(3) - 1/3
⇒ 7/4 - 1/3 (12) - 1/3
Apply the subtraction operation,
⇒ 7/4 - 4 - 1/3
Take the LCM in the above fractions,
⇒ (21 - 12 - 4)/12
⇒ 5/12
Thus, the required evaluation to the given expression is 5/12.
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correlation will not show whether or not there is weight loss. which tool would be more appropriate?
The following ways of measuring weight loss are more appropriate than correlation, i.e.,Skin calipers, Impedance scales, DEXA scanning, Body measurements.
What is meant by weight loss?Calories factor into the equation while trying to maintain a healthy weight. The key to losing weight is to burn more calories than you consume. You may do this by consuming fewer calories than you need and increasing the number of calories you burn via physical exercise.
A realistic, efficient, and lasting weight loss plan might be difficult to follow even if it may appear straightforward.
You don't have to do it by yourself, though. Seek advice from your doctor, family, and friends. Consider whether this is the right time and whether you're prepared to make the essential changes. Plan wisely as well: Consider how you'll respond to circumstances that put your determination to the test and the inevitable slight setbacks.
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What is 1\3x + y = 4
a variable is normally distributed with mean 19 and standard deviation 5. use your graphing calculator to find each of the following areas. write your answers in decimal form. round to the nearest thousandth as needed. a) find the area to the left of 16. b) find the area to the left of 14. c) find the area to the right of 15. d) find the area to the right of 27. e) find the area between 14 and 30.
The areas are
(a) 0.2743
(b) 0.1587
(c) 0.8413
(d) 0.0548
(e) 0.8274
What is standard deviation ?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Use TI 84 plus calculator to find the following areas
(a) Entering the values
Lower : -999999999
Upper : 16
Area (probability): 0.2743
(b) Entering the values
Lower : -999999999
Upper : 14
Area (probability): 0.1587
(c) Entering the values
Lower : 15
Upper : 999999999
Area (probability): 0.8413
(d) Entering the values
Lower : 27
Upper : 999999999
Area (probability): 0.0548
(e) Entering the values
Lower : 14
Upper : 30
Area (probability): 0.8274
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The mean number of hours watching TV per week for a sample of 153 teenagers is 27. If the margin of error for the population mean with a 98% confidence interval is 1.2, construct a 98% confidence interval for the mean number of hours watching TV per week for all teenagers.
With 98% confidence interval, all teenagers' mean number of hours watching TV per week will be (26.6,29.4).
98% confidence interval can be calculated as
Point estimate± Error margin
Point estimate=mean number of hours watching TV
students=28.
Error margin=1.4.
As per given data, the 98% confidence interval for all teenagers is
=28± 1.4
=(28-1.4,28+1.4)
=(26.6,29.4)
Statisticians use confidence intervals to assess the level of uncertainty in a sample variable. For instance, a researcher may select numerous samples at random from the same population and compute a confidence interval for each sample to estimate how each sample may correctly reflect the true value of the population variable. With certain intervals including the true population parameter and others not, each produced dataset is distinct. Confidence intervals are a set of values that are constrained by the mean of the statistic and are likely to include an unidentified population parameter. The confidence level is the proportion of likelihood, or certainty, that, after multiple draws from a random sample, the confidence interval would contain the true population parameter.
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Triangle ABC has vertices A(-6, 6), B(4, 2), and C(-4, 0).
Which statement about triangle ABC is true?
A. Since none of the sides are congruent, it is not a right triangle.
B. Since none of the sides have slopes that are negative reciprocals, it is not a right triangle.
C. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.
D. Since two of the sides are congruent, it is a right triangle.
The statement that is true about the triangle ABC with vertices A(-6, 6), B(4, 2), and C(-4, 0) is C. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.
How to check if the triangle is right triangleRight triangles are triangles with have perpendicular relationships
The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals then they are perpendicular and the triangle is a right triangle'
the points A(-6, 6), B(4, 2), and C(-4, 0)
Using point A(-6, 6) and B(4, 2)
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 6) / (2 - -6)
m = -1/2
Using point B(4, 2), and C(-4, 0)
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - -4) / (2 - 0)
m = 2
Comparing the slopes shows that slopes calculated are negative reciprocals
2 and -1/2Therefore the triangle is a right triangle
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You have blue ribbon and red ribbon in the ratio 1/2:1/5 . Your friend finds the value of the ratio. Is your friend correct? :
Answer:
No.
Step-by-step explanation:
Below I should you two ways to get the correct answer.
when transforming a shape twice, do you transform it from the pre image or image?
Three positive numbers are in the ratio 7:3:2. The sum of the least number and the greatest number exceeds twice the remaining number by 30. Find the three numbers.
The three numbers that are in the ratio 7:3:2 are 70, 30, and 20.
What is the ratio?A ratio in mathematics demonstrates how many times one number is present in another.
For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
So, let 7x, 3x, and 2x be the three numbers.
7x+2x = 9x is the product of the lowest and greatest number.
In accordance with:
9x-30=2(3x)
To make the equation easier:
9x-30=6x
30 extra on both sides:
9x=6x+30 or,9x-6x=30
3x=30, x=10,
So, the numbers will be:
7x=7(10) = 70
3x=3(10) = 30
2x=2(10) = 20
Therefore, the three numbers that are in the ratio 7:3:2 are 70, 30, and 20.
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Question 10 of 10
What is the slope of a line that is parallel to y = 3x+ 5?
Answer:
[tex]\huge\boxed{\sf 3}[/tex]
Step-by-step explanation:
Given slope-intercept equation:y = 3x + 5
Comparing it with standard form of slope-intercept equation i.e. y = mx + b.
Where,
m = slope = 3
b = y-intercept = 5
A line that is parallel to this line will have the same slope as this line.
So, it will also have a slope of 3.
[tex]\rule[225]{225}{2}[/tex]
a rectangular lot measures 60 feet wide and has an area of 1,200 square yards. what is the depth of the lot?
The depth of the given rectangular lot is 60 yards.
Here, we are given that the area of a rectangular lot is 1,200 square yards.
Further the width of the lot is 60 feet
As the area and the width are given in different units, we first need to convert them into the same units.
Now, 1 foot = 0.33 yards
⇒ 60 feet = 0.33*60 yards
= 20 yards
Further, we know that the area of a rectangle is given by the formula-
area = length × breadth
Thus,
1,200 = 20 × breadth
1,200/20 = breadth
breadth = 60 yards
Thus, we find that the depth of the given rectangular lot is 60 yards.
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a flipped coin can land in one of two states: heads or tails. write a vi that simulates simultaneously flipping four coins and determines how many of these coins land in the heads state.
The probability flipping of four coin that will give head is 0.93
Probability:
In statistics, Probability defines the possible way of occurring a particular event.
Given,
A flipped coin can land in one of two states: heads or tails.
Here we need to find the probability while flipping four coins then how many of these coins land in the heads state.
In order to calculate the probability of these event, we have to know the values of the sample space and the possible number of events,
Here the value of sample space is written as,
S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}
So, the value of n(S) = 16
The possible number of way to obtain the head state is,
E = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}
the value of n(E) = 15.
Therefore, the probability of getting head state is
=> P(E) = 15/16
=> P(E) = 0.93
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Calculate the social security and Medicare deductions for the following employee assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare. Logan has a cumulative earnings before this pay period was $128,300 , and pay amount this period was$3,000. What is the social security and what was the medicare
The social security and Medicare deductions for the following employee are $7768 and $1816 respectively.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical process, and extraction of roots
Main body:
Cumulative Earnings before this pay period = $128,300
pay amount this period = $3000
tax rate of 6.2% on social security = 6.2%
effective earning = 128300 = 3000
= 125300
social security deduction = 6.2 % of 125300
⇒ 6.2 *125300 /100
⇒$7768
Medicare deductions = 1.45%
⇒ 1.45*125300/100
⇒$1816
Hence , the social security and Medicare deductions for the following employee are $7768 and $1816 respectively.
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if olive construction company gets the job, what is the probability that base construction company did not bid?
If Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
So, the probability that the base construction company did not bid:
[tex]\begin{aligned}& P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P\left(B \mid A^{\prime}\right) P\left(A^{\prime}\right)} \\& P\left(B^{\prime} \mid O\right)=\frac{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)}{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)+P(O \mid B) P(B)} \\& P\left(B^{\prime} \mid O\right)=\frac{(0.5)(0.3)}{(0.5)(0.3)+(0.25)(0.7)} \\& P\left(B^{\prime} \mid O\right)=\frac{0.15}{0.15+0.175} \\& P\left(B^{\prime} \mid O\right)=0.4615\end{aligned}[/tex]
Therefore, if Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.
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a research firm determined that the equation y=2x+80 can be used to model the total amount of spending by tourist in florida,y, in billions of dollars, for the years 2013-2017 where x is the number of years since 2013.
determine the key features for the context
domain? range? as x values increase,y values ? slope? x intercept? y intercept? thank ya
The slope and intercept of the line will be 2 and 80 respectively.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the total amount of tourist spending in Florida from 2013 to 2017 can be predicted using the equation y=2x+80, where x is the number of years since 2013, to the tune of billions of dollars.
Compare the equation with the standard equation,
y=mx+ c
Where m is the slope and c is the intercept of the line.
Thus the slope and intercept of the line will be 2 and 80 respectively.
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what is the actual explanation of what happens when you subtract a negative number from another negative number
PLEASE HELP 5 QUESTIONS PLEASE ILL GIVE BRAINLY IF IT SHOWS
1.
Which one is a proportion?
A. 1/2 = 2/3
B. 3/4 = 12/16
C. 19/15 = 54/85
D.2.5/7=5/12
-------------------
2.
Solve the proportion for the missing value of y.
3/12 = y/8
y =_________|
----------------------
3.
Solve the proportion for the missing value of w.
5/w = 8/4
w =__________|
-------------------------------
4.
If Mr. Argo went 20 miles on 2.5 gallons of gas, and he wants to know how far he can go on 9 gallons of gas. Which proportion would be helpful to solve the problem?
A.20/9 = 2.5/x
B. 9/2 = 20/x
C. 20/2.5 = x/9
D.9/20 = x/2
Answer:
3/4 = 12/16, y = 2, w = 2.5, 20/2.5 = x/9
Step-by-step explanation:
The first question is asking which is proportional.
B. 3/4 = 12/16
We know this is proportional because 4 can be multiplied by 4 to get 16, and the same can be applied to 3 to get 12.
The second question is asking for the missing value of y.
3/12 = y/8
y = 2
We can solve this by looking at the 12 and the 8.
8 is 2/3 of 12.
2/3 of 3 is 2
The third question is asking for the missing value of w.
5/w = 8/4
w = 2.5
We can solve this by looking at the 8/4.
8/4 is the same as 2/1.
Using this, we can conclude that w = 2.5
The fourth question is asking for the correct proportion.
If Mr. Argo can go 20 miles on 2.5 gallons of gas:
20/2.5
And he wants to know how many miles he can go with 9 gallons:
x/9
We can use the equation: C. 20/2.5 = x/9
Hope this helps!!
a child has a box full of colored building blocks. he will choose one block without looking. the odds against choosing a blue block are 47. what is the probability of choosing a blue block?
7/11 is the probability of choosing a blue block.
Given:
a child has a box full of colored building blocks. he will choose one block without looking.
the odds against choosing a blue block are 47.
We need the probability of choosing a blue block,
Odds:
The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.
The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.
So, the probability of not choosing the blue block is 4/11.
Probability of choosing blue block: complement of 4/11 which is equal to 7/11.
Hence we get the required answer.
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g consider a disk queue holding requests to the following cylinders in the listed order: 94, 169, 39, 135, 22, 133, 69, 65. using each of the following scheduling algorithms, what is the order in which the requests will be serviced? (assume that the disk head is currently located at cylinder 50 and is moving toward higher numbered cylinders).
For FCFS (First Come, First Served):The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65.
SSTF (Shortest Seek Time First):
The requests will be serviced in the following order: 39, 22, 65, 69, 94, 133, 135, 169
SCAN:
The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22
C-SCAN:
The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65
LOOK:
The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22
C-LOOK:
The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65
In FCFS and C-SCAN, the requests are serviced in the same order as they were received. In SSTF and LOOK, the requests are serviced in an order that minimizes the seek time of the disk head. In SCAN and C-LOOK, the requests are serviced in an order that moves the disk head in one direction (towards higher numbered cylinders in this case) until the end of the disk is reached, and then moves the disk head in the opposite direction to service the remaining requests.
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chegg the number of successes and the sample size for a simple random sample from a population are given below. x, n, : p, : p, a. determine the sample proportion. b. decide whether using the one-proportion z-test is appropriate. c. if appropriate, use the one-proportion z-test to perform the specified hypothesis test.
Since, it is observed that z = -2.74 < [tex]Z_{\alpha} = -2.33[/tex], it is then concluded that the null hypothesis is rejected.
What is a left-tailed test?
When the alternative hypothesis asserts that the true value of the parameter indicated in the null hypothesis is lower than the null hypothesis indicates, a left-tailed test is utilized.
This is a left-tailed test.
Test statistics
[tex]z = (\hat p - p_{0} ) / \sqrt{} p_{0}*(1-p_{0}) / n[/tex]
= [tex]\sqrt{} (0.4*0.6) / 45[/tex][tex]= ( 0.2 - 0.4) \div \sqrt{} (0.4*0.6) / 45[/tex]
= -2.74
The critical value of the significance level is α = 0.01, and the critical value for a left-tailed test is:
[tex]Z_{\alpha} = -2.33[/tex]
Hence, it is observed that z = -2.74 < [tex]Z_{\alpha} = -2.33[/tex], it is then concluded that the null hypothesis is rejected.
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Explain how comparing the values of two signed numbers is different than comparing their absolute value?
The difference between the value of two signed numbers and the absolute value is that
signed numbers does not neglect the signs, they can be positive or negative while absolute value gives the positive valueIn a number line signed numbers have specific positions and directions while absolute values ranges from the zero to the positiveWhat are signed numbers?Positive and negative numbers are referred to as signed numbers. The number is automatically regarded as positive if no sign is present.
On a number line, positive numbers are those to the right of zero. Negative numbers are those to the left of 0
What are absolute values?Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.
A number can never have a negative absolute value.
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of the 459,000 people living in miami, 68%indicated on a recent, city-wide survey that they were employed for a random sample of size 490 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
The standard deviation of the sampling distribution of sample proportions is 0.21
Given,
Number of people living in Miami = 459,000
Sample size, n = 490 people
Population proportion, p = 68% = 68
We have to find the standard deviation for the sampling distribution of the sample proportions;
Here,
Standard deviation of the sampling distribution of sample proportions is
σpˆ=√p(1−p)/n
σpˆ=√.68(1-.68)/490
σpˆ= .021
That is,
0.21 is the standard deviation of the sampling distribution of sample proportions.
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if a true-false test with questions is given, what is the probability of scoring (a) exactly 80% just by guessing?
The probability of scoring exactly 80% is 0.04395 as per the given data.
Given: 10 true-false questions
So, we will have 50% chances (probability = 0.5) of being correct.
P( 80% score) = P( 8 answers correct)
As we observe, if X= number of correct answers, then X~ Binomial (n=10, p=0.5)
So, P( 80% score) = P( 8 answers correct)
= 0.0439453125
= 0.04395
Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.
Probability basically refers to the degree to which something is likely to occur. With the help of this fundamental theory of probability, which is also used to describe the probability distribution, you will discover the possible results for a random experiment. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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HELP
Select all the equivalent solution sets to the compound inequality 27>−1/2(4x+6)≥100?
A. −15
B. −10.5
C. −10.5
D. −15
E. −10.5
F. −15
G. −15
At a clothing store, ted bought 4 shirts and 2 ties for a total price of $95. At the same time store, stephen bought 3 shirts and 3 ties for $84. Each shirt was the same price, and each tie was the same price. Which system of equations can be used to find s, the cost of each shirt in dollar, and t, the cost of each tie in dollars ?.
The required system of equation for the cost of shirt and tie are-
4s + 2t = 953s + 3t = 84 Explain the term system of equations?simultaneous equations, or a system of equations, In order for two or so more equations in algebra to be solved jointly, the system's equations must all be satisfied by the solution. The quantity of equations must match the number of unknowns for a system to have a singular solution.For the stated question-
Ted spent a total of $95 on 4 shirts and 2 ties from a clothes store. Stephen spent $84 on three shirts and three ties at the same time store. Each shirt and each tie cost the same amount.Let 's' be the cost of each shirt.
Let 't; be the cost of each tie.
Then, the equations become-
4s + 2t = 95
3s + 3t = 84 are the required system of equation.
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2(vh)/k=r Solve equation for v in terms of all other variables involved
The equation v in terms of other variables is v = kr/2h
What is the subject of an equation?It is a variable which is expressed in terms of other variables involved in the formula.
Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.
2(vh) / k = r
by cross multiplication
2(vh) = kr
divide both sides by 2h
v = kr/2h
In conclusion, v in terms of other variables is kr/2h
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What is h, the height of the tree? use the law of sines to first find at. Then use that measure to find the value of h. 3. 0 yards 3. 2 yards 3. 8 yards 4. 4 yards.
The measured height of the tree is found as 3.2 yards.
Explain the term trigonometric relation?Trigonometric ratios are based on the measurement of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. These trigonometric ratios of a given acute angle are the ratios of the sides of such a right-angled triangle in respect to that angle.Let 'h' be the height of the three.
Let distance between student A and tree = x.
Using trigonometric relation;
tan 57 = h/x
x = h/tan 57 ......eq 1
tan 46 = h/(x + 1)
x + 1 = h/tan 46 ......eq 2
Equation eq 1 and eq 2.
h/tan 57 + 1 = h / tan 46
h / tan 46 - h / tan 57 = 1
Further solving,
h(tan 57 - tan 46) = tan 46.tan 57
h = tan 46 tan 57 / (tan 57 - tan 46)
h = 3.2 yards
Thus, the measured height of the tree is found as 3.2 yards.
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The complete question is-
Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the angle to be 57°, and Student B measures the angle to be 46°.
What is h, the height of the tree? Use the law of sines to first find AT. Then use that measure to find the value of h.
A) 3.0 yards
B) 3.2 yards
C) 3.8 yards
D) 4.4 yards
Answer: 3.2 is correct
Step-by-step explanation:
edge 2023
a cake recipe calls for 472 ml of milk. you dont have a metric measuring cup at home, so you need to convert milliliters to cups. you know that 1 l equals 1.06 quarts and that there are 4 cups in 1 quart. how many cups of milk will you need to use
Number of cups of milk that will you need to use is 2.001 cups
Total quantity of milk needed for the cake = 472 milliliter
we know
1 liter = 1.06 quarts
1 quart = 4 cups
Convert the given quarts to cups
Then 1.06 quarts = 4 × 1.06
Multiply the numbers
= 4.24 cup
Here the total quantity of milk needed for the cake is 472 milliliter
We have to use the unitary method here
1 liter = 4.24 cups
472 milliliter = 4.24 × 0.472
Multiply the numbers
= 2.001 cups
Therefore, he need 2.001 cups of milk to make a cake
Learn more about unitary method here
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