a windshield wiper blade is 17 in Long. Calculate the area come by the blade as it rotates through an angle of 138 degrees.
Answers
Answer: 348 in²
Step-by-step explanation:
Area of a circle is πr². Area of a sector is the same formula but only for the section so you need to determine what fraction of the circle it is. You do this by dividing by 360° if degrees are provided or by 2π if radians are given.
\(A=\pi r^2 \bigg(\dfrac{\theta}{360^o}\bigg)\)
Given: r = 17
Ф = 138°
\(A=\pi(17)^2\bigg(\dfrac{138^o}{360^o}\bigg)\\\\\\.\quad =289\pi \bigg(\dfrac{23}{60}\bigg)\\\\\\.\quad =\dfrac{6647\pi}{60}\pi\\\\\\.\quad =347.9\ in^2\)
Related Questions
I need Help. I need the slope of the line.
Here is the Equation! A pool is being filled with water. It starts with 2 gallons of water and is filled at a rate of 10 gallons per minute. The graph below represents the relationship between the number of minutes and the gallons of water in the pool.
Will give brainliest if you want.
Answers
The slope of the line for the given condition is 10.
What is the slope of a line?A line's slope is defined as the ratio of the change in y coordinates to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Given the graph for the pool being filled with water,
in the graph, the x-axis represents the number of minutes,
the y-axis represents the gallons of water filled,
equation of line is y = mx + c
c is the y-intercept = 2
where m is the slope of the line,
m = (y₂ - y₁)/(x₂ - x₁)
or slope of the line also shows the rate of change,
a given rate of change is 10 gallons per minute
so 10 is the slope of the line
m = 10
equation is y = 10x + 2
Hence slope is 10.
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Describe a similarity transformation that maps the preimage to the images
Answers
Answer:
Dialation
Step-by-step explanation:
A dilation is a transformation that makes an image smaller or bigger. the preimage is dialated by one half of the first image.
Answer:
Dilation
Step-by-step explanation:
It is dilation because the figure is getting smaller and is now not the same size
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Answers
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Answers
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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100 Points and Brainliest to whoever helps me!
Answers
step-by-step explanation:
this would make it the y intercept.
Answer:
thirsty
Step-by-step explanation:love pionts
4.
Write the equation of the line, in slope-intercept form, that goes through the point ( 10, 6 ) and is perpendicular to the line: y = ( - 5 / 4 ) x + 1.
Answers
Answer: \(\boxed{y=\frac{4}{5}x-2}\)
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.
Substituting into point-slope form,
\(y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}\)
Tamika has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $482.62.
She buys 3 bicycle reflectors for $10.84 each and a pair of bike gloves for $24.49.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.93 each.
Which inequality can be used to determine o, the maximum number of outfits Tamika can purchase while staying within her budget?
Answers
The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800
The given parameters are:
Budget = $800
New bicycle = $482.62
3 bicycle reflectors = $10.84 each
Pair of a bike gloves = $24.49.
New biking outfits = $52.93each.
Let the number of new biking outfits be x So, we have;
New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget
This gives;
482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800
This gives;
539.63+ 52.93x ≤ 800
Solve the inequality;
52.93x ≤ 260.37
Divide by 52.93
x ≤ 4.91
Hence, the inequality is 539.63+ 52.93x ≤ 800
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Graph to find an ordered pair and where they intersect.y=-x+2y=-1/4x-1
Answers
Given:
The equations are,
\(\begin{gathered} y=-x+2 \\ y=-\frac{1}{4}x-1 \end{gathered}\)To draw the lines on the graph first find the points on the graph,
\(\begin{gathered} y=-x+2 \\ x=0,y=2 \\ x=1,y=-1+2=1 \\ x=2,y=-2+2=0 \\ x=-1,y=1+2=3 \end{gathered}\)And,
\(\begin{gathered} y=-\frac{1}{4}x-1 \\ x=0,y=-1 \\ x=2,y=-\frac{1}{2}-1=-1.5 \\ x=-2,y=\frac{1}{2}-1=\frac{1}{2}=0.5 \\ x=1,y=-\frac{1}{4}-1=-1.25 \end{gathered}\)Plot the points on the graph.
From the graph, the lines intersect at the point (4,-2).
Find the perimeter of the triangle. Recall that the perimeter of a figure is the distance around a figure.
Answers
Answer:
1 inch
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
Perimeter = 3/23 + 9/23 + 11/23 = (3 + 9 + 11)/23 = 23/23 = 1
Simplify each.Assume that none of the variables is zero.
Answers
Answer:
2. 1 / a^2
3, 1
4. - 1
Step-by-step explanation:
Formulas : -
x^y / x^z = x^( y - z )
x^-y = 1 / x^y
x^y / x^y = 1
2.
a^2 / a^4
= a^( 2 - 4 )
= a^-2
= 1 / a^2
3.
m^6 / m^6 = 1
4.
- 8^4 / 8^4
= - 1 x 8^4 / 7^4
= - 1
4 The expression (2x² + 6x + 5)-(6x² + 3x + 5) is
equivalent to
1) 4x2 + 3x
2) 4x2 – 3x
3) 4x2 – 3x + 10
4) 4x2 + 3x - 10
Answers
Answer:
1) 4x² + 3x
Step-by-step explanation:
Add/Combine like terms:
2x² - 6x² = -4x²
6x - (+3x) = 3x
5 - (+5) = 0
Simplify: -4x² + 3x
am I right for part A. And please help me with B
Answers
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
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Help please, thanks as always in advance.
Which correlation coefficient indicates the data set with the strongest linear correlation?
0.41
−0.25
0.66
−0.83
Answers
Step-by-step explanation:
Which correlation coefficient indicates the data set with the strongest linear correlation?
0.66
The correlation coefficient indicates the data set with the strongest linear correlation is -0.83
What is correlation coefficient?"It measures the strength of the relationship between two relative variables."
What is linear correlation?"When the rate of change is constant between two variables then it is said to be linear correlation."
For given example,
We have been given correlation coefficients.
We need to find the correlation coefficient that indicates the data set with the strongest linear correlation.
We know, the correlation coefficient lies between -1 to 1.
So, the strongest linear correlation is indicated by a correlation coefficient of -1 or 1.
From given correlation coefficients,
-0.83 is close to -1.
Therefore, the correlation coefficient indicates the data set with the strongest linear correlation is -0.83
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When 9
is written in simplest radical form, which value remains under the radical?
SARE
3
6.
ОООО
9
27
Answers
Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answers
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
A certificate of deposit offers a nominal interest rate of 2.5 percent annually.
If inflation is 1 percent, what is the real rate of return?
Answers
To solve this question, the real rate of return formula is used, and we apply the data given in the exercise into the formula to find the real rate of return.
Formula for the real rate of return:
\(R = \frac{1 + N}{1 + i} - 1\)
In which N is the nomial rate and i is the inflation rate, as decimals.
A certificate of deposit offers a nominal interest rate of 2.5 percent annually.
This means that \(N = 0.025\)
Inflation is 1 percent
This means that \(i = 0.01\)
What is the real rate of return:
Now we apply the formula:
\(R = \frac{1 + 0.025}{1 + 0.01} - 1\)
\(R = 1.0149 - 1\)
\(R = 0.0149\)
0.0149*100% = 1.49%
Thus, the real rate of return is of 1.49%.
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what is the decimal for 17 40
please explain
Answers
Answer:
17.40
Step-by-step explanation:
no
Solve the system of linear equations (7) by graphing. And on the first equation that is my mouse not the line going through the "="
Answers
Given the system of equations:
\(\begin{cases}y=-\frac{2}{3}x+2 \\ y=\frac{1}{3}x+5\end{cases}\)we can graph both equations by finding the two intercepts in each case. For the first equation, we have:
\(\begin{gathered} y=-\frac{2}{3}x+2 \\ x=0\Rightarrow y=2 \\ (0,2) \\ y=0\Rightarrow-\frac{2}{3}x+2=0\Rightarrow-\frac{2}{3}x=-2\Rightarrow x=\frac{-2}{-\frac{2}{3}}=3 \\ (3,0) \end{gathered}\)for the second equation, we get:
\(undefined\)Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answers
Answer:
Step-by-step explanation:
\(\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}\)
The answer is 5/9 as you can see. 5/9 = 20 inches each.
1 yard = 36 inches
(5/9 * 36) = 5 * 4 = 20 inches.
Answer:
5/9
Step-by-step explanation:
I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser
So what I did was multiply the 3 by the diviser(3) and got 9
This left me with 5/9
If DEF ~ HJG, Find the vaules for x and y?
Answers
By applying property of similarity of triangles, the result obtained is
\(x = 20, y = \frac{70}{3}\)
What is similarity of triangles?
Two triangles are said to be similar, if the corrosponding angles are equal and corrosponding sides are proportional.
The axioms of similarity of triangles are
SSS axiom, AA axiom, SAS axiom
Here,
\(\Delta\)DEF \(\sim\) \(\Delta\)HJG [Given]
\(\frac{DE}{HJ} = \frac{DF}{HG} = \frac{EF}{JG}\) [Corrosponding parts of similar triangles are proportional ]
\(\frac{9}{15}= \frac{12}{x}\\x = \frac{12 \times 15}{9}\\x = 20\)
\(\frac{9}{15} = \frac{14}{y}\\y = \frac{14 \times 15}{9}\\y = \frac{70}{3}\)
\(x = 20, y = \frac{70}{3}\)
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can anyone help ?
Fasttt
Answers
Answer:
- 3
Step-by-step explanation:
6 - 4x = 6x - 8x + 12
6 - 4x = - 2x + 12
6 - 12 = - 2x + 4x
- 6 = 2x
x = - 6 / 2
x = - 3
Answer:
+3
Step-by-step explanation:
we collect like terms to give us
-4x-6x+8x=12-6
-10x+8x=-6
-2x=-6
divide through by -2 to give us
-2x/-2=-6/-2
x=+3
note that when a negative sign divides another negative sign, it gives us a positive sign which in our case, could be ignored if chosen to
Determine which lines, if any are parallel or perpendicular.
24.
line a: y = 5x - 6
line b: x + 5y = 5
25.
line a: 2x = y = 10
line b: -6x - 3y = 3
line c: x - 2y = 8
Answers
Hence, these lines are perpendicular to each other.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Draw the graph by using the given equation is
(24)
line \(a: y = 5x - 6\)
line \(b: x + 5y = 5\)
Graph is of the form:-
(25)
line \(a: 2x = y = 10\)
line \(b: -6x - 3y = 3\)
line \(c: x - 2y = 8\)
Graph is of the form:-
Hence, these lines are perpendicular to each other.
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The engineering program at the college nearby has a ratio of 3 females for every 8 males. If this constant ratio is plotted on a graph with females on the x-axis and males on the y-axis, what is the x-value if the y-value is 120?
Answers
Answer:
45
Step-by-step explanation:
the slope is 8/3 so you can use y = 8/3x
make the y-value equal to 120
120 = 8/3x
cross-multiply to get:
8x = 360
x = 45
) Assume that a simple random sample has been selected from a normally distributed population and test the given claim at α = 0.05. State the claim mathematically. Identify the null and alternative hypotheses, test statistic, critical region(s), and the decision regarding the null hypothesis. State the conclusion that addresses the original claim. A local group claims that police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select two weeks. Their research yields the number of tickets issued for each day. The data are listed below. 70 48 41 68 69 55 70 57 60 83 32 60 72 58
Answers
We cannot conclude that there are more than 70,000 defined words in the dictionary.
To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:
Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.
Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.
So, sample mean
= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10
= 510 / 10
= 51.0
and, the sample standard deviation (s)
= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]
≈ 16.23
Next, we calculate the test statistic using the formula:
test statistic = (x - μ) / (s / √n)
In this case, μ = 48.0, s ≈ 16.23, and n = 10.
test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34
With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.
Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.
Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.
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Find the area when the
circumference is 50.24 cm
Answers
Answer:
From the circumference you can determine the radius. Once you have the radius, you calculate the area as πr^2
The answer will be
A=201cm^2
Step-by-step explanation:
Solve completely and show your work
9. Bonnie Heisey sells clothing. Her commission rate is 7.5%. Las month her
sales were $10,875.
What was her commission?
Answers
Answer:
$815.63
Step-by-step explanation:
Commission=10875(.075)
=815.625
2) A store owner offered a 20% discount off the regular price of a mirror. The regular price
of the mirror is $35.
What is the amount of the discount?
F $7
G $28
H $14
J $3.50
Answers
Answer:the answer is 28 the second one.
Step-by-step explanation:
Answer:
7$
Step-by-step explanation:
Riley put £450 into a savings account which
gathered simple interest at a rate of 2% per month.
After 6 months, Riley used some of the money in
the account to buy a bike costing £480.
How much money did Riley have left?
Answers
Answer:
£26.77
Step-by-step explanation:
450(100% + 2%)^6
= 450 (1.02)^6
= 506.77.
506.77 - 480 - 26.77.
Riley had £26.77 left.
What percent of the students surveyed are seniors who take the bus
Answers
Answer:
More infomation.
Step-by-step explanation:
Which graph represents the solution set of the compound inequality below?
x+3<= (4x-12) < 20
OH
4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12
6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14
Answers
A graph that represents the solution set of the compound inequality is: graph D.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Next, we would solve the given compound inequality by making x the subject of formula as follows;
x + 3 < 1/2(4x - 12) < 20
Multiplying all through by 2, we have the following:
2x + 6 < 4x - 12 < 40
Next, we would solve the compound inequality in parts:
2x + 6 < 4x - 12
4x - 2x < 12 + 6
2x < 18
x < 18/2
x < 9.
4x - 12 < 40
4x < 40 + 12
4x < 52
x < 52/4
x < 13.
In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).
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