Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet
a recent survey reported that in a sample of 300 students who attend 2-year colleges, 105 work at least 20 hours per week. additionally, in a sample of 225 students attending private 4-year universities, only 20 students work at least 20 hours per week. what is the test value for a test of the difference between these two population proportions?
Test value for a test of the difference between these two population proportions would be 2.44
What is Proportion?
A proportion in math is when two ratios are equivalent, that means they are equal to each other.
To calculate the test value for the difference between the two population proportions, you will need to first calculate the sample proportions for each group.
The sample proportion for the group of students attending 2-year colleges is 105/300 = 0.35.
The sample proportion for the group of students attending 4-year universities is 20/225 = 0.089.
Next, you can use these sample proportions to calculate the test value using the following formula:
test value = [tex]\frac{p1-p2}{\sqrt{[(p1(1-p1)/n1) + (p2(1-p2)/n2)]} }[/tex]
where p1 is the sample proportion for the first group, p2 is the sample proportion for the second group, n1 is the sample size for the first group, and n2 is the sample size for the second group.
Plugging in the values from the problem, we get:
test value = [tex]\frac{(0.35 - 0.089)}{\sqrt{[(0.35(1-0.35)/300) + (0.089(1-0.089)/225)]} }[/tex]
Simplifying this expression gives us a test value of approximately 2.44. This is the test value for the difference between the two population proportions.
To know more about Proportion visit,
https://brainly.com/question/870035
#SPJ4
What are the documents needed for SSS sickness benefit?
The documents needed for SSS loan sickness benefit are as follows :
Sickness Benefit Application (SBA) FormAny legitimate primary ID card or document, such as an SS ID or UMID, as follows:- Driver’s License
- Passport
- Voter’s ID Card
- National Bureau of Investigation (NBI) Clearance
- Postal Identity Card
- Any other government-issued (secondary) ID cards/documents
supporting medical records, if any, for extended illness or incarceration :- Laboratory, X-ray, ECG, and other diagnostic results
- Operating room/clinical record that will support the diagnosis
For illnesses or injuries that occurred abroad, the issuing nation's official documentation must include an English translation and be properly authenticated by the Philippine Embassy or Consulate Office or properly certified by a notary public of the receiving nation.
To learn more about loan here:
https://brainly.com/question/13580545
#SPJ4
How many terms are there in the following expression 7x² 5x 5 *?
There are three terms in the following expression 7x² 5x 5 This means that for every x in the expression, 5 will be multiplied by it
The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. To calculate the coefficient of x, we need to first expand the expression. The expanded form of the expression 5x³ 7x² is 5x³ + 7x². Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5. This can be understood by considering the following example:
Let's say we have the expression 5x³ 7x² = 5x³ + 7x².
Here, 5 is multiplied by x three times and seven is multiplied by x twice. This means that the coefficient of x is 5. This can be written as 5x³ + 7x² = 5x³ + 7x x 1 = 5x(x² + x). Hence, the coefficient of x in the expression 5x³ 7x² is 5.The coefficient of x in the expression 5x³ 7x² can be calculated using the following steps:
Expand the expression 5x³ 7x².
The expanded form of the expression is 5x³ + 7x².
Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5.
Learn more about expression here
brainly.com/question/14083225
#SPJ4
The cost of 6 oranges is $1.What is the cost of 3 dozen oranges?
GUYS PLEASE ANSWER IT FAST
AND EXPLAIN HIW YOU DID IT!
Answer:6 dollars
Step-by-step explanation:
1 dozen=12 oranges
3 dozen=36 oranges
36 divided by 6=6
6 times 1= 6 dollars
What is a 3 term expression called?
A three-term expression is called a trinomial.
The Power of Trinomials: Exploring the Possibilities of Three-Term ExpressionsMath is a powerful tool that can be used to solve a range of problems. From simple arithmetic to complex equations, math provides us with powerful tools to explore the world around us. One such tool is the trinomial, a three-term expression that can be used to represent a wide variety of mathematical problems. In this essay, we will explore the possibilities of trinomials, examining their structure, uses, and potential applications.
Trinomials are composed of three terms: a variable, a coefficient, and a constant. Each term can be used to represent a different aspect of a problem. The variable is typically either an x or a y, and is used to represent the unknown quantity in an equation. The coefficient is a number used to modify the variable, and the constant is a number that is not affected by the variable. Together, these three terms form a trinomial, which can be used to represent a wide range of mathematical problems.
Learn more about math expressions:
https://brainly.com/question/4541471
#SPJ4
3x 2/4 fraction please do explanation so i can know the correct answer.
Answer:
Below
Step-by-step explanation:
3 * 2/4 =
3/1 * 1/2
(3*1) / (2*1) = 3/2 = 1 1/2
Select the values that make the inequality -g> 6 true.
When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.
How do inequality equations work?Connecting two expressions results in both the mathematical constructs known as equations and inequalities. The two expressions in an equation are thought to be equal when the equal symbol (=) is present. Two expressions in an inequality are not always equal, as shown by the symbols >,,, or. The four basic terms for inequality are smaller than, larger than, smaller than or equal to, and larger than or equal to.You can solve an inequality by doing one of the following: adding or subtracting the same amount from each side; multiplying or dividing each side by the same positive number. It is necessary to flip the inequality sign if all sides are multiplied or divided by a negative value.The complete question is,
How do you resolve an inequality equation?
To learn more about Inequalities refer to:
https://brainly.com/question/24372553
#SPJ1
Which is an x-intercept of the continuous function in the table? Group of answer choices (0, –6) (3, 0) (–6, 0) (0, 3)
(3,0) is an x-intercept of the continuous function in the table.
What is x-intercept and y-intercept?If the graph of a function crosses the x-axis, then the function has an x-intercept. The x-intercept(s) of a function are called the zeros or the roots of the function.
If the graph of function crosses the y-axis, then the function has a y-intercept. A function can have at most one y-intercept.
Given that,
The table with x as the domain and f(x) as the range.
To find the x-intercepts, we need to find all the x-values that support the equation; f(x) = 0. An x-intercept is the first component of the ordered pair (k,0). Where k is any real number.
A y-intercept is the second component of the ordered pair (0,c), where c is any real number.
From the table provided, stated that:
x-intercept is (3,0), y-intercept is (0, -6).So, the x-intercept becomes: (3,0).
To know more about x-intercept refer to:
https://brainly.com/question/17932786
#SPJ1
The complete question is as follows:
Which is an x-intercept of the continuous function in the table? (0,-6) (3,0) (-6, 0) (0, 3)
What are the exact solutions of x2 4 − 7x 1 point X X X X?
The solution of the given quadratic equation is x = (- 7 ± √(65)) / (2)
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation,
For this case, the first thing we must do is rewrite the polynomial:
x² + 7x - 4 = 0
We use the resolver to solve the problem using quadratic formula;
x = (- b ± √(b² - 4 × a × c)) / (2 × a)
Where,
a = 1
b = 7
c = -4
Substituting the values:
x = (- 7 ± √((7)² - 4 × (1) × (- 4))) / (2 × (1))
x = (- 7 ± √(49 + 16)) / (2×(1))
x = (- 7 ± √(65)) / (2)
Hence, The value of x is (- 7 ± √(65)) / (2)
For more references on quadratic equation, click;
https://brainly.com/question/17177510
#SPJ4
What is the factor of 7?
There are only prime factors of the number 7 that are possible which are 1 and 7.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Prime factorization is the process of expressing a number as the sum of all its prime factors. In prime factorization, each and every integer is a prime number.
Factors can be found using either division or multiplication. Rules of divisibility can also be used.
There are only prime factors of the number 7 that are possible which are 1 and 7.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ4
the longer the extended supply chain, the greater the probability of risk group of answer choices false true
the probability of risk increases with the extension of supply chain. The more we enlarge our business the more possibility of risk.
What is supply chain?A supply chain refers a system of connection of the business elements such as raw materials, products, resources, profit, loss as well as all the activities of a running business organization.
What is probability of risk?the extent of possibility of occurring unexpected incident in a business. while going on with our business, we wish to extend our organization so as to earn reputation as well as gaining outstanding outcomes. But at the same time the chance of getting bad outcomes rises. It is termed as probability of risk.
hence, the above expression risk rises with increasing supply chain is true.
to know more about supply chain and risk visit:
https://brainly.com/question/18793688
#SPJ4
How many solutions can 2 linear equations have?
Answer:
2 linear equations can only have 1 solution.
Step-by-step explanation:
⭐ What is a linear equation?
A linear equation is a type of equation that, when graphed, looks like a straight lineA linear equation can be written in 3 ways: [tex]Ax + By = C[/tex], [tex]y = mx + b[/tex], and [tex]y - y_1 = m(x-x_1)[/tex].⭐What does "solution" mean?
The solution for 2 equations is the point (x,y) that the 2 equations intersect at.Thus, when 2 linear equations intersect, they can only have 1 solution, because straight lines can only meet at 1 point.
Sam i an accountant. He find that he pend two-fifth of hi work day by anwering email. If he pent 3. 6 hour anwering email yeterday, how many hour did he work
Sam spent two-fifth of his work day by answering email. He works for 9 hours.
Steps to translate and solve a word problem using algebraic expressions:
- Assign the unknowns to variables
- Translate the word into operators plus, less, multiply, or division
- Isolate the unknown
In the given problem, let p is the variable to express the total hours Sam worked yesterday.
He spent two-fifth of hi work day by answering email = 2/5 p
He spent 3.6 hours answering email yesterday, means:
2/5 p = 3.6
p = 5 x 3.6/2 = 9 hours
Hence, Sam worked for 9 hours.
Learn more about variables here:
https://brainly.com/question/28651633
#SPJ4
someone know how to do this tmr need hand in
Answer:
(1) The answer is given in the paper.
(2) The answer is given in the paper.
(3) PT = 21.26 cm
Step-by-step explanation:
(1) the paper says the answer is 7.81 cm
(2) the paper says the answer is 42 cm
(3) The work is in the image that is attached to this response.
Which is the coefficient form of X³ − 1 *?
Let x= the co-efficient of x^3-1. So the co-efficient of given function is x=1.
Define co-efficient.The term "coefficient" refers to a number or symbol that multiplies another number or symbol (used as a mathematical variable).
Write an example of co-efficient.An amount multiplied by a variable is known as a coefficient. As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.
Let x= the co-efficient of x^3-1. So the co-efficient of given function is x=1.
The term multiplied with x^3 is the co-efficient of this expression. As there is not term with x^3 so it is 1.
To learn more about co-efficient visit the link:
https://brainly.com/question/1038771
#SPJ4
What is the solution of the system of equations?
y = -x + 4
y=-x+1
1
2
-2 0
2
y
2
Answer:
no solutions
Step-by-step explanation:
y = -x + 4
y=-x+1
-x+1 = -x+4 ==> since y=-x+1 and y=-x+4, -x+1=-x+4
-x+1-1 = -x+4-1 ==> isolate x on one side by subtracting 1 on both sides
-x = -x+3
-(-x) = -(-x+3)
x = x - 3 ==> this isn't equal since a number won't have the same value if
you take away 3 from it.
Hence, there are no solutions.
Answer:
There is no solution
Step-by-step explanation:
y = -x + 4
y=-x+1
If we solve
-x + 4 = -x +1
Add x to both sides and it will be 0
So, there is no solution!
What is the median of 23?
The Median of 23 will be 23.
How to calculate the Median?
A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it. In a list of odd numbers, one would select the middle number with an equal number of numbers on either side of it to determine the median value. The numbers should be arranged in order, typically from lowest to highest, before calculating the median.
The middle pair must be identified, added, then divided by two in order to calculate the median value in a list of even integers. Once more, group the figures from lowest to highest.
The median will be the average of the two middle numbers, in our questions 23 and 23, the mean of which is 23 because there are an even number of values.
So the final answer will be 23.
To learn more about Median, visit: https://brainly.com/question/11237736
#SPJ4
What is (3x^3 −2x^2 +6x−1) subtracted from the sum
of (2x^3 −3x+2) and (5x^2 +4x−6)?
Answer:
the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6) is −x^3 +3x^2 +7x−5.
Step-by-step explanation:
To find the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6), we can first add the two given expressions to find the sum, and then subtract the third expression from that sum.
The sum of (2x^3 −3x+2) and (5x^2 +4x−6) is:
(2x^3 −3x+2) + (5x^2 +4x−6) = 2x^3 +5x^2 −3x+4x −6 = 2x^3 +5x^2 +x−6
Subtracting (3x^3 −2x^2 +6x−1) from this sum gives us:
(2x^3 +5x^2 +x−6) − (3x^3 −2x^2 +6x−1) = (2x^3 −3x^3) + (5x^2 −2x^2) + (x+6x) − (−1−6) = −x^3 +3x^2 +7x−5
Therefore, the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6) is −x^3 +3x^2 +7x−5.
What is the equation of the line that has a slope of -3 and contains a point (-2,3) ?
Answer:
y=-3x-1, or 3x+y=-1
Step-by-step explanation:
well uh hopefully you don't need this
Answer: y=-3x+
Step-by-step explanation:
take the slope and the y and plug it into the equation y=mx+
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. would you accept it?
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. Yes one can accept it.
As per the given data:
If you toss the coin.
Coin shows tails [tex]$\rightarrow$[/tex] lose $ 100
Coin shows heads [tex]$\rightarrow$[/tex] win $ 150
We would consider expected gain for us in each scenario.
Since, the probability of head is,
[tex]P(H) = \frac{1}{2}[/tex]
The probability of Tail is,
[tex]P(T)=\frac{1}{2}[/tex]
Therefore, expected gain [tex]$=150 \times \frac{1}{2}+(-100) \times \frac{1}{2}$$$[/tex]
= 75 - 50
= $ 25
Since, gain is positive number of 25 .
We can say on an average we can gain some Profit.
Hence one would accept the offer.
For more questions on probability
https://brainly.com/question/29759928
#SPJ4
What is mean method formula?
The mean formula in statistics for a set is defined as the sum of the observations divided by the total number of observations.
One of the most significant and often employed metrics of central tendency is the mean. In mathematics, there are various different kinds of means. In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a particular set of observations.
To put it another way, calculating the mean of a data set only requires adding up all the values and dividing the result by the total number of values.
However, depending on whether grouped or ungrouped data is provided, the basic approach and formulae change. Ungrouped data is a collection of random observations, whereas grouped data is a collection of individual observations of a variable aggregated into separate groups.
To know more about the mean visit: brainly.com/question/29895356
#SPJ4
To put it another way, all that is necessary to determine the mean of a set of data is to sum up all the values and divide the total by the number of values.
However, the fundamental approach and equations vary according on whether grouped or ungrouped data are presented. Ungrouped data is a collection of arbitrary observations, whereas grouped data is a collection of distinct groupings of individual observations of a variable.
How do you graph inequalities on a calculator?
Linear equations are one-degree equations. It is a straight-line equation. A linear equation with parameters a and b equal to zero has the conventional form ax + by + c = 0.
What is a linear inequality?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
It's a line with a shaded side on one side to show which xy pairings are the inequality's solutions.
Following steps to graph inequalities on a calculator:
1) Press the [Y=].
2) Press [3] [X,T,θ,n] [+] [2] on Y1.
3) Press [◄] six times until the symbol to the left of Y1 is flashing.
4) Press [ENTER] [▼] to select the Line area.
5) Press [►] repeatedly until a triangle pointing to the lower part is displayed.
6) Press [▼] [ENTER].
7) This will change the graph style to shade below the function (this style was chosen because the solution set consists of all real numbers below the line of the y= equation).
To know more about linear equation refer to:
brainly.com/question/28732353
#SPJ4
What is AAS postulate?
AAS (Angle-Angle-Side) is the basic congruence criteria for proving the congruence ( similarity) of two triangles.
Congruence postulate:Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal.
The basic terms of the agreement are as follows.
SSS Consensus CriteriaSAS Consensus CriteriaAAS Consensus CriteriaASA Consensus CriteriaAAA Consensus CriteriaRHS Consensus CriteriaNow let's talk about AAS Consensus Criteria.
AAS Congruence Criteria: AAS Criterion stands for Angle-Angle-Side Criterion. According to the AAS criterion, two triangles are congruent if any two angles and excluded sides of one triangle are equal to the corresponding angles and excluded sides of the other triangle.
To learn more about AAS Congruence postulate, refer:
https://brainly.com/question/28039171
#SPJ4
What else is needed to prove these triangles congruent using the HL theorem?
Answer:
C. BA ≅ DA
Step-by-step explanation:
⭐ What is the HL theorem?
The HL theorem is a triangle congruence statement used to say that 2 right triangles are congruent.For 2 right triangles to be considered by the HL theorem, they must have congruent hypotenuses and congruent corresponding legs✔️In this problem, it is already established that ΔABC and ΔADC are right triangles because they have a right angle.
✔️ΔABC and ΔADC have congruent hypotenuses because they both share hypotenuse AC, and by the reflexive property of congruence, AC ≅ AC
❌There is no indication that their corresponding legs are congruent, and that is what we need for the HL theorem.
The only answer option that mentions their corresponding legs being congruent is option C.
please help with the promblem
The system of the equation's solution is x = -6 and y = 4 which is determined by graphically.
The system of equations is given in the question as:
y = 1/6 x + 5
4x + 3y = -12
For the first equation, y = 1/6x + 5, we can plug in two values for x and solve for y to find two points on the line. Let's plug in x = 0 and x = 1 to find two points:
When x = 0, y = 1/6(0) + 5 = 5. So the point (0, 5) lies on the line.
When x = 1, y = 1/6(1) + 5 = 5 + 1/6 = 5 1/6. So the point (1, 5 1/6) lies on the line.
For the second equation, 4x + 3y = -12,
Let's plug in y = 0 and y = 1 to find two points:
When y = 0, 4x + 3(0) = -12.
4x = -12, so x = -3. So the point (-3, 0) lies on the line.
When y = 1, 4x + 3(1) = -12.
4x + 3 = -12, so x = -4. So the point (-4, 1) lies on the line.
To solve these equations graphically, we plotted the lines on the coordinate plane, found the point of intersection, and then found the coordinates of that point.
Thus, the solution to the system of equations is x = -6 and y = 4.
Learn more about the Linear equations here:
brainly.com/question/13738061
#SPJ1
What is AAA congruence rule?
AAA ( Angle - Angle - Angle) congruence rule is one of congruence postulate but not preferable, for showing the similarity in two triangles
Two triangles are said to be congruent if one can be superimposed on the other exactly by rigid body motion, and the congruence theorem gives the conditions under which this occurs.
SAS (side-angle-side)SSS (side-side-side)ASA (angle-side-angle)AAA( angle-ange-angle)AAS (angle-angle-side)RHS( right angle-hypotenuse-side)AAA Congruence rule:
It is stands for angle-angle-angle Congruence rule. When all three angles of one triangle is equals to the corresponding angles of another triangle. but it is possible if and only if the corresponding sides of both triangles are equal and when all three sides of two triangles are equal to each other then we use SSS Congruence rule. So, it not considered as preferable congruence rule . For example, In ∆ABC and ∆PQR
all three angles of ∆ABC is equal to corresponding angles of ∆PQR. So,∆ABC and ∆PQR are congruent.
To learn more about AAA (angle-angle-angle) Congruence rule, refer:
https://brainly.com/question/29792706
#SPJ4
The snake travels 49 centimeters in one hour. At that rate, how long does it take the snake to go 686 centimeters?
Answer: It would take the snake approximately 14 hours to travel 686 centimeters
Step-by-step explanation:
At a rate of 49 centimeters per hour, it would take the snake approximately 14 hours to travel 686 centimeters. To find this, we can divide the distance the snake needs to travel by the rate at which it can travel to find the time it would take: 686 centimeters / 49 centimeters/hour = approximately 14 hours
if y=156 when x=39 what is y when x is 17 please show work
By applying direct proportion, the value of y when x is 17 is equal to 68.
What is a direct proportion?Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:
y = kx
Where:
y and x are the variables or dimensions.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = 156/39
k = 4
Now, we can calculate the value of y when x is 17;
y = kx
y = 4 × 17
y = 68.
Read more on proportionality here: brainly.com/question/12866878
#SPJ1
How do you solve for Y problems?
By analyzing and applying correct method we can solve for any given Y problem.
Define analysis.Analysis is the process of carefully examining something difficult in order to comprehend it or identify its key characteristics.
Define interpretation.Explaining, rephrasing, or otherwise demonstrating your own understanding of something is the act of interpretation. An interpreter is a person who interprets from one language into another for the purpose of explaining what is being said to a non-native speaker.
Let any problem is represented as Y. We can solve Y problem by analyzing the situation that is presented in the problem and by applying right method or formula to get required solution of given problem.
To learn more about analysis visit the link:
https://brainly.com/question/1859113
#SPJ4
If the two legs of the right triangle are 4.8cm and 7.6cm,what is the area of the largest square,A