PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
A regular polygon has 12 sides. If one of its angles measures (8h − 30)°, what is the value of h?
h = 10.75
h = 18.75
h = 20.25
h = 22.5
Answer: h = 22.5
Step-by-step explanation:
Total angle area of a 12 sided polygon is 1800
1. One angle would be 1800/12= 150
8h - 30 = 1502. Add 30 one each side to cancel out and only leave 8h.
8h = 1803. To get rid of the 8 we divide the the other side by 8.
h = 22.5The answer is 22.5
Answer: D 22.5 i got it right on the exam
Step-by-step explanation:
foot of a 10m long ladder leaning against a vertical well is 6m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.
For 10m long ladder whose foot is leaning against a vertical wall and from the base of the wall it is 6m away then height of the wall at a point ladder reaches is equal to 8m.
As given in the question,
Wall , ladder and base forms a right angled triangle
Length of the ladder leaning against the wall is hypotenuse = 10m
Distance between the ladder and base of the wall is base= 6m
Let us consider 'h' be the height of the wall is altitude.
Wall , ladder and base forms a right angled triangle
Using Pythagoras theorem we have,
(Hypotenuse)² = (Base)² + (altitude)²
⇒10² = 6² + h²
⇒100 =36 +h²
⇒h² =100 -36
⇒h² =64
⇒h = 8m
Therefore, for 10m long ladder whose foot is leaning against a vertical wall and from the base of the wall it is 6m away then height of the wall at a point ladder reaches is equal to 8m.
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Use the graph of the following function (x) to find the value.
f(1)
From the graph of the given function , the value of f(1) = -1.
As given in the question,
From the graph of the given function,
Two coordinates from the graph are as follow:
( x₁ , y₁) = (1, -1)
( x₂ , y₂ ) = ( 0, -3 )
Equation of the line representing the function is given by:
(y - y₁) /(x-x₁) = ( y₂ -y₁)/ (x₂ -x₁)
⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)
⇒ (y +1)/ (x-1) = 2
⇒y +1 = 2x -2
⇒ y = 2x -3
To get the value of x we have,
y = f(x)
⇒f(x) = 2x -3
⇒f(1) = 2(1) -3
⇒f(1) = -1
Therefore, from the graph of the given function , the value of f(1) = -1.
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The third grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade. Estimate how many slices of pizza each classroom can have if the pizzas are shared equally.
Choose 1 answer: 20 slices 50 slices 300 slices 320 slices
Answer:
20 slices
Step-by-step explanation:
If there were 11 large pizzas with 8 slices per pizza, that would mean that there are a total of 88 slices of pizza.
If there are four classrooms, that means that if each classroom had 20 slices, there would be enough for everyone with 8 pieces leftover.
20 x 4 = 80
Version 1 for Game Design Determine the center and radius of the circle with equation x² + y² + 4x − 6y + 12 = 0
Answer:
Step-by-step explanation:
Equation of circle is, (x-h)^2+ (y-k)^2=r .......(eqn1)
where, (h,k) is the center and r is the radius.
therefore, from the question by rearranging the equation,
x² + y² + 4x − 6y + 12=0
viz, (x² +4x+4) + (y²-6y+9)-1=0
(x+2)^2 + (y-3)^2=1
therefore from eqn1, (-2,3) is the center and radius is 1
What is the geometric mean of 5 and 11? *
Anika earns $5 a week for doing all of her chores around the house. Which graph below represents this relationship between x, the number of weeks she has been doing chores, and y, the amount of money she has earned?
The graph of the linear equation can be seen in the image at the end.
Which graph represents the amount of money Anika has?We start by defining the variables we will use:
x = number of weeks.
y = money that Anika has.
We assume that Anika starts with $0, and then she wins $5 each week, so after x weeks she has:
y = $5*x
To graph this linear equation we need to find two points on the line, if x = 0 we get:
y = $5*0 = $0
So we have the point (0, 0)
if x = 1
y = $5*1 = $5
So we have the point (1, 5)
Now we can graph these two points and connect them with a line, the graph can be seen below.
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Examine this set of Pythagorean triples. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.
Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity . Explain your findings.
x-value Pythagorean Triple
3
4
5
6
The pattern is that two larger numbers differ by 2 and the smaller is the root of twice the sum of the larger two.
How to explain the pattern?The given formula gives rise to the above observations. it tells you
a = 2x
b = x^2 -1
c = x^2 +1
This is a special case of Euclid's formula ...
a = 2mn
b = m^2 -n^2
c = m^2 +n^2
for n=1.
Since m and n can be any integer values, there are certainly many other. Pythagorean triples that do not match the formula given in the problem. Using n=2, for example, the triples are:
a = 4x
b = x^2 -4
c = x^2 +4
Some triples from this set of formulas are (5, 12, 13), (20, 21, 29), (28, 45, 53), (36, 77, 85).
It should bm be noted that triples from this set of formulas will not match directly those from the formulas in the problem statement, but triples from both lists may reduce to the same primitive triple.
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Complete question
Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.
Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings.
x-value Pythagorean Triple
3 (6,8,10)
4 (8,15,17)
5 (10,24,26)
6 (12,35,37)
What is the slope of the line?
Answer:
2
Step-by-step explanation:
y 4-2=2
x 2-1=1
2/1=1
hope it helps.
2.1 & 2.2 Assessment: Vertex & Standard Form of Quadratic Functions
What is the equation, written in vertex form, of a parabola with a vertex of (1, -9) that
passes through the point (2, -7)?
The equation of the parabola in vertex form is _______________
Answer:
y = 2(x - 1)^2 - 9
Step-by-step explanation:
The vertex form of a parabola is y = a(x - h)^2 + k
(h, k) is the vertex, aka (1, -9)
(x, y) is the point that is passed through aka (2, -7)
Using this, we can substitute these values into the equation.
First, let's work with the vertex
We know that h = 1 and k = -9: y = a(x - 1)^2 - 9
Now, let's substitute in the point that was given: -7 = a(2 - 1)^2 - 9
Now, we can find the a-value by simplifying: -7 = a - 9 --> a = 2
Finally, we can make the equation by taking our equation that we made with the vertex but just putting the a-value in since we know it.
y = 2(x - 1)^2 - 9 is the equation of the parabola in vertex form
I hope this helps! Let me know if it is wrong
A rectangle has an area of 14y³ - 63y.
a. What are expressions for the length and width where one dimension is
the GCF?
pls help.
The length and breadth expressions where one dimension is the GCF are; 7y and (2y²-5).
Area of a Rectangle
Given that a rectangle is a two-dimensional shape with one of the dimensions being the GCF, as specified in the question;
Consequently, the length and breadth expressions are 7y and (2y²-5) respectively.
Additionally, the rectangle's area when y=2 is; 14(2³) - 35(2) = 52.
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2/5 divided by 8/15 please
The value of 2/5 divided by 8/15 is 3/4
What is a fraction?A fraction can be defined as the he or portion of a whole set or element
There are different types of fractions, which includes;
Proper fractionsImproper fractionsMixed fractionsComplex fractionsSimple fractionsSome examples include;
Simple fractions; 1/ 2, 1/3
Proper fractions; 1/ 4, 2/ 3
Improper fractions; 3/ 2, 5/3
Mixed fractions; 2 1/ 6
We have that;
2/ 5 ÷ 8/15
Take inverse of divisor and multiply
2/ 5 × 15/ 8
Divide through
3/4
Hence, the value is 3/4
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A=P(1+r/100)^n express r in terms of A,P, and n
Answer:
[tex] \huge{ \boxed{r =100( \sqrt[n]{ \frac{A}{P} } - 1)}}[/tex]
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{100} )^{n} \\ [/tex]
First of all in order to make r the subject we have to first divide both sides of the equation by P
That's
[tex] \frac{A}{P} = \frac{P( {1 + \frac{r}{100} })^{n} }{P} \\[/tex]
We'll finally get
[tex] \frac{A}{P} = ( {1 + \frac{r}{100}) }^{n} \\ [/tex]
Next we have to remove the power n and to do that we find the square root of 'n' of both sides as
We have
[tex] \sqrt[n]{ \frac{A}{P} } = \sqrt[n]{( {1 + \frac{r}{100} })^{n} } \\ \\ \\ \sqrt[n]{ \frac{A}{P} } = 1 + \frac{r}{100} [/tex]
Next we subtract 1 from both sides to isolate r/100
We have
[tex]\sqrt[n]{ \frac{A}{P} } - 1 = 1 - 1 + \frac{r}{100} \\ \sqrt[n]{ \frac{A}{P} } - 1 = \frac{r}{100} [/tex]
Finally to isolate r , we multiply both sides by 100
[tex] \frac{r}{100} \times 100 =100 \times (\sqrt[n]{ \frac{A}{P} } - 1)[/tex]
We have the final answer as
[tex]r =100( \sqrt[n]{ \frac{A}{P} } - 1) \\ [/tex]
Hope this helps you
The following set of four ordered pairs below defines the vertices, in counterclockwise order, of a quadrilateral (four-sided figure). {(0,−2),(6,0),(4,5),(−2,3)} Step 1 of 3 : Find the slopes of the indicated sides of the quadrilateral. Simplify your answer.
The slope of the side connecting (0,−2) and (-2, 3) is: -5/2.
The slope of the side connecting (6, 0) and (4, 5) is: -5/2.
How to Find the Slope Between Two Points?The slope (m) of a side connecting two points with given coordinates can be calculated using the slope formula shown below:
Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
Slope of the side connecting (0,−2) and (-2, 3):
Slope (m) = change in y / change in x = (3 - (-2)) / (-2 - 0)
m = 5/-2
Slope (m) = -5/2.
Slope of the side connecting (6, 0) and (4, 5):
Slope (m) = change in y / change in x = (5 - 0) / (4 - 6)
m = 5/-2
Slope (m) = -5/2.
Therefore, the slope of both sides are the same, which is: -5/2.
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Which equation below represents the Exponent Property of Logs?
The only equation given that represents the Exponent Property of Logs is; Option A: log(A^r) = r*log(A)
How to find the exponent property of logarithm?The exponent property of logarithm says that the log of a power is the exponent times the logarithm of the base of the power. For example;
logₐ(MN) = logₐM + logₐN
logₐ(M/N) = logₐM - logₐN
logₐ(3²) = 2logₐ3
The first example above shows the product rule of logarithms
The second example shows the quotient rule of logarithms
The third rule shows the power rule
Now, looking at the options, the only one that shows the correct pattern of exponent property of logarithm is;
Option A: log(A^r) = r*log(A)
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Marissa has a savings account with $48 in it that earns 2% simple
interest per year.
How much money, to the nearest penny, will Marissa have in 7 years?
Give your answer in dollars.
Marissa will have $720 in 7 years when she has $48 in her saving account that earns 2% simple interest per year.
What is simple interest?Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of many forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.S.I. = P R T,where
P = Principal, R = Rate of Interest in% per annum, and T = Time periodThe interest rate is expressed as r/100 and is expressed as a percentage or r%.Principal: The principal is the sum that was first invested or borrowed from the bank. P stands for the principal.Rate: Rate is the interest rate at which the principal sum is granted to someone for a specific period of time; examples of rate interest are 5%, 10%, and 13%. R stands for the interest rate.Time: The amount of time that the principal is given to someone. T represents time.Amount: When a borrower repays a bank loan, the term "Amount" refers to the sum of the principal borrowed plus the interest paid.Amount = Principal + Simple Interest or A = P(1 + RT)Calculation
From, A = P(1 + RT)
where, p = $48
R = 2%
T= 7 years
A = 48(1 + 2*7)
A = $720
Hence, Marissa will have $720 in her bank account after 7 years.
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I would need to graph the line through the given point with the given slope, only help me answer question 12 please. Thank you.
The graph of the linear equation for question 12 can be seen in the image at the end of the answer.
How to graph the line?If we have a linear equation with a slope m and a point (h, k=, the point-slope form of that linear equation is:
y = m*(x - h) + k
Here the slope is m = -7/4 and the point is (2, -6)
Then the linear equation is:
y = (-7/4)*(x - 2) - 6
To graph the linear equation we need two points on it, and we already know one, so we need to find the other.
To do so we can evaluate in some value of x.
If we use x = -2 we will get:
y = (-7/4)*(-2 - 2) - 6
y = (-7/4)*(-4) - 6
y = 7 - 6 = 1
So we also have the point (-2, 1)
Now we just need to graph the two given points and connect them with a line.
Below you can see the graph.
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A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
Based on the number of people present, the total number of combinations of Chairperson and Vice Chairperson is 240 combinations.
How to carry out Probability combinations?In order for us to find out the total possible combinations, we will use the formula as:
Total possible combinations = Number of possible chairpersons * Number of possible vice chairpersons
We are given that;
Number of possible chairpersons = 16
Number of possible vice chairpersons = 15 (This is because a chairperson is chosen first and leaves 15 people.)
Thus, we can say that;
Total possible combinations = 16 * 15
Total possible combinations = 240 combinations
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1. A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this
height is:
a) 34 inches?
b) 54 inches?
The required percentage of height of 34 and 54 inches are 85% and 135%.
Given that,
The percentage of the height of 34 inches and 54 inches against the height of 40 inches is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
a,
percentage = 34/40 × 100%
Percentage = 85%
b,
percentage = 54/40 × 100%
Percentage = 135%
Thus, the required percentages of height of 34 and 54 inches are 85% and 135%.
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Complete a trend analysis for sales (round to nearest whole percent and use 2010 as the base year). 2013 2012 2011 2010 Sales $ 620,000 $ 580,000 $ 450,000 $ 600,000 (D) (C) (B) (A)
The completion of the trend analysis for sales with 2010 as the base year is as follows:
Trend Analysis of Sales:2013 2012 2011 2010
Sales $ 620,000 $ 580,000 $ 450,000 $ 600,000
Trend Analysis 103% 97% 75% 100%
What is trend analysis?Trend analysis is a technical analysis that uses historical data over some periods to predict and monitor future developments in a particular topic.
To undertake a trend analysis for sales, a base year is chosen and the sales account for the base year is set at 100% and used to check how sales have changed during the review periods.
The other years' results are compared to the base year's by dividing each year's result by the base year's.
Percentages are used to depict trend analysis so that the resulting increases and decreases can be easily compared to the base year.
Sales Trend Analysis:2013 (D) = 103% ($620,000/$600,000 x 100)
2012 (C) 97% ($580,000/$600,000 x 100)
2011 (B) 75% ($450,000/$600,000 x 100)
2010 (A) = 100% ($600,000/$600,000 x 100)
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In the middle of a park, there is a fenced off area in the shape of a square with an area of 225 yards. What is the side length of the square? What is the perimeter of the fenced off area?
what is a peremiter
Perimeter meaning: the continuous line forming the boundary of a closed geometric figure.
side length: 15
perimeter: 368
From their locations in the diagram, what are two possible values for n and m? The letters n and m represent two unknown numbers.
The possible values for n and m are:
m = √5 and n = 7/5
In this question, we have been given the locations of numbers n and m.
From their locations in the diagram, we need to find the possible values for n and m.
From the location of n we can say that the value of n is a rational number but not an integer.
We know that rational numbers are of the form p/q where p, q are integers with q ≠ 0
And the value of m is an irrational number.
So, the possible value of n am m:
m = √5 and n = 7/5
Therefore, the possible values for n and m are:
m = √5 and n = 7/5
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The price of a technology stock was $9.69 yesterday. Today, the price fell to $9.56. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.3% decrease
Step-by-step explanation:
% change = (9.69 - 9.56) / 9.69) x 100 = 1.3% decrease
9.69-9.56 = 0.13
0.13/0.69= 0.0134158972
Multiply by 100 and you get 1.34158927
Round to nearest tenth and you get = 1.3%
Therefore, the percentage decrease is 1.3
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=990 and x=581 who said "yes." Use a 95% confidence level.
The 95% confidence interval for the proportion of respondents who say yes is of:
(0.5562, 0.6176)
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The remaining parameters, which are the sample size and the estimate, are given as follows:
[tex]n = 990, \pi = \frac{581}{990} = 0.5869[/tex]
The lower bound of the interval is of:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5869 - 1.96\sqrt{\frac{0.5869(0.4131)}{990}} = 0.5562[/tex]
The upper bound of the interval is of:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5869 + 1.96\sqrt{\frac{0.5869(0.4131)}{990}} = 0.6176[/tex]
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Abigail Henderson has $3400.00 budgeted for spending money on an upcoming trip to Country A and Country B. Country A's currency is trading at $1.30 per currency A, and Country B's currency is trading at $1.60 per currency B. She plans to spend more time in Country A, so she wants to have four times as much of currency A as currency B. Set up and solve a system of equations to model this problem, and explain what the answer means in practical terms.
If Abigail Henderson has $3400.00 budgeted for spending money on an upcoming trip .The currency needed is 200 euro and 500 pounds.
How to find the currency needed?Formulate an equation
1.30x + 1.60y = 3400
Hence,
x =4y Equation 1
1.30x + 1.60y = 3400 Equation 2
Substitute eq1 into eq2
1.30(4y) + 1.60y = 3400
5.2y +1.60y =3400
6.8y =3400
Divide both side by 6.8y
y =3400/6.8
y = 500
Number of euro
4y where y = 500
4(500)
=2000
Therefore the answer in practical terms is : 2000 euro of European currency and 500 pounds of Britain currency are needed.
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find the sum of the first 50 terms of the sequence
[tex]a(n)=3n+2[/tex]
The sum of first 50 terms of the sequence a(n) = 3n + 2 is 3925
In this question, we have been given a sequence a(n) = 3n + 2
We need to find the sum of the first 50 terms of the sequence
a(1) = 3 + 2
= 5
a(2) = 6 + 2
= 8
a(3) = 9 + 2
= 11
a(4) = 12 + 2
= 14
...
Given sequence is arithmetic sequence with common difference d = 3 and the first term a = 5
Using the formula for the sum of first n terms of AP
Sum of n terms of A.P. = n/2[2a + (n - 1)d]
For n = 50
S(50) = (50/2) * [2(5) + (50 - 1)3]
S(50) = 25 * [10 + (49 * 3)]
S(50) = 25 * 157
S(50) = 3925
Therefore, the sum of first 50 terms of the sequence a(n) = 3n + 2 is 3925
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In a football game, Team A defeated Team B by a score of 31 to 14. The total points scored came from a combination of touchdowns, extra-point kicks, and field goals, worth 6, 1, and 3
points, respectively. The numbers of touchdowns and extra-point kicks were equal. There were six times as many touchdowns as field goals. Find the number of touchdowns, extra-point
kicks, and field goals scored.
The number of touchdowns is 4.
The number of extra-point kicks is 4.
and the number of field goals is 2.
What are linear equations in three variables?
If a, b, c, and r are real numbers (and if a, b, and c are not all equal to 0) then ax + by + cz = r is called a linear equation in three variables.
How to solve the system of linear equations in three variables?
Select two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. then, solve the system of the two newly obtained equations using the Addition/Subtraction method.
Let the number of touchdowns be "x", the number of extra-point kicks be "y", and the number of field goals is "z".
Total points scored in game = 20+14 =34
Now,
According to the given question,
6x + y + 3z = 34 -----------(I)
x = y ----------(II)
x = 2z
z = [tex]\frac{x}{2}[/tex] -----------(III)
Putting the values of "y" and "z" in equation (I), we get
6x + x + 3×[tex]\frac{x}{2}[/tex] = 34
[tex]\frac{17x}{2}[/tex] = 34
x = 4
Now, putting the value of "x" in equations (II) and (III), we get
y = 4.
z = 2.
Hence, The number of touchdowns is 4. The number of extra-point kicks is 4, and the number of field goals is 2.
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Of the 600 loads of clothes washed at a cleaners in one week.450 of those loads are washed in an extra large- washer what percent of loads of clothes are washed in an extra large washer
The percent of loads of clothes are washed in an extra large washer is 75%.
What is the percentage?It was stated that out of the 600 loads of clothes washed at a cleaners in one week.450 of those loads are washed in an extra large- washer
Therefore, the percentage that are washed in extra large washer will be:
= Number washed in extra large washer / Total number of clothes × 100
= 450/600 × 100
= 3/4 × 100
= 75%
The percentage is 75%.
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9(9-10r)+(-8-2r)
I don't know how much to do this I need help
Answer: 21
Step-by-step explanation:
To simplify this, we would use Order of Operations (BEDMAS)
Brackets ()Exponents [tex]x^{2}[/tex] Division MultiplicationAdditionSubtractionSo, to simplify 3 + (3-8)^2 -7 we will follow the order of Operations
[tex]3 + (3-8)^{2} - 7\\3 + (-5)^{2} - 7\\3 + 25 - 7 \\28 - 7\\21[/tex]
So the answer is 21
Find the values of x and y.
Answer:
x = 20 degrees ; y = 70 degrees
Step-by-step explanation:
angle supplementary to 40 = 180 - 40 = 140 degrees
in isosceles triangle has the angles of the base with the same measure
140 + (2x) = 180
2x = 180 - 140
2x = 40
2/2 x = 40/2
x = 20 degrees
90 - 20 = 70 degrees
70 + y + 40 = 180
110 + y = 180
y = 180 - 110
y = 70 degrees
Answer:
Step-by-step explanation: