Answer:
Arc = 20 / 3°
Step-by-step explanation:
Say the angle is = x
The sector = πr^2 / x
Sector = 100π / x
15π = 100π / x
15πx = 100π
x = 20 / 3
Arc is = to the central angle
Using law of sines please show process and answer
Hello,
\(\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\\)
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,
from the base of the dolly to the ground.
A. 52.0°
B. 38.0°
C. 38.6°
D. 51.4°
Check the picture below.
\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)
Make sure your calculator is in Degree mode.
3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look
up at a 50 degree angle to see the top of the arch. How far away from the base of the
arch is she standing?
Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
What is trigonometry?In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given parameters:
Height of the Gateway Arch in St. Missouri = 630 feet.
Priya have to look up at a 50° angle to see the top of the arch.
Now from definition of tanθ in trigonometry:
tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri
hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷ tan50°
= 630 feet ÷ tan50°
= 528.63 feet.
Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.
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Value of x in 4,5,x,480
Step-by-step explanation:
you need to give us also some context.
because that sequence can be anything.
but I suspect you mean
4 : 5 = x : 480
0.8 = x / 480
x = 480 × 0.8 = 384
Consider the sequence of steps to solve the equation:
X-3
—— = x +3
3
Step 1 = X-3 = 3(x + 3)
Step 2 = X-3 - 3x + 9
Step 3 = x= 3x + 12
Step 4 = -2x = 12
Step 5 = x= -6
Identify the property of equality which yields Step 1.
A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property
Is -5 3/11 greater than or less than -5.2
Answer:
Yes.
Step-by-step explanation:
-5 3/11 is equal to -5.27 repeating therefore, it is greater than -5.2. Hope this helps. :)
What is the slope of the line
Answer:
3/4
Step-by-step explanation:
A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in
Answer:
The person used 1/10 (one tenth) of the can to paint one chair.
Step-by-step explanation:
If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:
9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.
At Hannaford, bananas cost $0.75 per pound. Maggie paid $3.15 for a bunch of bananas. How many pounds of bananas did she buy for that amount?
Answer:
4.2
Step-by-step explanation:
3.25÷0.75=4.2
brainliest pls if that helped
What is the surface area?
2 ft
5 ft
3 ft
square feet
Submit
I will give 50 points
Answer:
High
Step-by-step explanation:
the only numbers that don't overlap is 53 and 59 all the others would overlap.
Answer:
The overlap is high.
In the figure above, ABCD is a parallelogram
with AB = BE = EC. If the area of right triangle
BEC is 8, what is the perimeter of polygon
ABECD?
The perimeter is 21.66
The figure is something like the one that is in the image below:
We want to find the total perimeter of the polygon ABECD
This will be:
AB + BE + EC + CD + DA
Remember that for a triangle rectangle of catheti A and B, the area is given by:
A*B/2
We know that the sides of the triangle rectangle are:
BE, EC, BC.
Because BE = EC, these can not be the hypotenuse of the triangle, then the catheti are BE and EC
Knowing that the area of the triangle rectangle is 8, we can write:
EC*BE/2 = 8
and EC = BE = x
x^2/2 = 8
x^2 = 8*2 = 16
x = √16 = 4
Then the two catheti of the triangle rectangle are 4 units long.
EC = 4
BE = 4
and we know that:
AB = BE = EC
then:
AB = 4
and because this is a rectangle, we also have:
DC = AB = 4
now we want to find the last side of the figure, AD,
Which we already know is equal to the hypotenuse of the triangle.
Remember the Pythagorean's theorem, which says that the sum of the squares of the catheti is equal to the square of the hypotenuse.
Both catethus are equal to 4, then we have:
H^2 = 4^2 + 4^2 = 32
H = √32 = 5.66
then:
DA = 5.66
Now we have:
AB = BE = EC = DC = 4
DA = 5.66
Then the perimeter is:
AB + BE + EC + CD + DA
4 + 4 + 4 + 4+ 5.66 = 21.66
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Evaluate 8 ÷ -2 · 42 + 9. -100 -55 73 -23
Steps to solve:
8 / -2 * 42 + 9
~Divide
-4 * 42 + 9
~Multiply
-168 + 9
~Add
177
Best of Luck!
The simplified expression is equivalent to -159.
Given is an expression 8 ÷ -2 · 42 + 9, we need to simplify it,
To evaluate the expression 8 ÷ -2 · 42 + 9, we need to follow the order of operations, which is typically remembered using the acronym PEMDAS.
In this case, we should first perform the multiplication and division, and then the addition.
Starting with the multiplication and division:
8 ÷ -2 = -4
-4 · 42 = -168
Now we can add the result to 9:
-168 + 9 = -159
Therefore, the evaluation of 8 ÷ -2 · 42 + 9 is -159.
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Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.
Question 8 options:
A)
6.397
B)
1.766
C)
5.991
D)
5.298
The value of the expression is 1.766.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression,
2\(e^{3x}\) = 400
divide by 2 into both sides
\(e^{3x}\) = 400/2
\(e^{3x}\) = 200
converting the expression in form of a log,
ln(\(e^{3x}\))= ln(200)
log(aⁿ) = n log(a)
3x ln(e) = ln(200) [ln(e) = 1 and ln(200) = 5.2931]
3x = 5.2931
x = 1.766
Hence Option B is correct.
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A total of 600 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?
Answer:
150 adult tickets where sold
Step-by-step explanation:
If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.
When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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I want the answer of this question
Answer:
42sq . units
Step-by-step explanation:
To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).
Multiply the length and width together to get the area .
Answer: 42 sq. Units
Step-by-step explanation: i got it right.
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. what are the dimensions of this rectangular room in the actual building ?
Answer:
30 ft long by 55 ft wide
Step-by-step explanation:
Franklin Templeton has just invested $10,760 for his son (age one). This money will be used for his son’s education 17 years from now. He calculates that he will need $54,343 by the time the boy goes to school. What rate of return will Mr. Templeton need in order to achieve this goal?
Answer:
9.995%
Step-by-step explanation:
principal-10760
n(time)-17
rate-?
amount-54343
formula of compound interest\(a = p(1 + \frac{r}{100} ) {}^{n} \)
54343=10760(1+(r/100))^17
divide both sides by 107605.05=(1+(r/100))^17
multiply both sides by ^1/171.09995=1+(r/100)
like terms together i.e the whole numbers0.09995=r/100
multiply both sides by 100r=9.995%
look at the pic this is 8th grade math
Answer:
oof
Step-by-step explanation:
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
what is 3 2/3 + 2 7/10
The simplified sum is 191/30.In mixed number form, this is 6 and 11/30.3 2/3 + 2 7/10 equals 6 and 11/30.
To add the mixed numbers 3 2/3 and 2 7/10, we can follow these steps:First, convert both mixed numbers into improper fractions.
3 2/3 = (3 * 3 + 2)/3 = 11/3
2 7/10 = (2 * 10 + 7)/10 = 27/10
Now, we have 11/3 + 27/10.
To find a common denominator, we multiply the denominators: 3 * 10 = 30.Rewriting the fractions with the common denominator, we have 110/30 + 81/30.
Adding the numerators, we get 110 + 81 = 191.
The sum is 191/30.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
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592 x 43 in standard algorithm
Answer:
25456
Step-by-step explanation:
592 over 43
592
x 43
multiply 3 by 2, 9 and 5. 3 by 2 is 6. 3 by 9 is 27. 3 by 5 is 15.
add a zero at the second row then,
multiply 4 by 2, 9, 5. 4 by 2 is 8. 4 by 9 is 36. 4 by 5 is 20.
if you aligned them properly, when you add them you should get 25456
I'll try to include a picture of my work, hopefully you can see it**
The graph of an exponential function is a curve because it has which of the following?
A constant rate of change
A changing rate of change
All rational numbers
All irrational numbers
Answer the questions about the following function.
f(x) = 3x²-x-2
(a) Is the point (2,8) on the graph of f?
(b) If x= -1, what is f(x)? What point is on the graph of f?
If f(x) = -2, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(c)
(e) List the x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.
Step-by-step explanation:
f(x)=3x²-x-2
a) (2,8)
f(2)=3(2²)-2-2
f(2)=3(4)-4
f(2)=12-4
f(2)=8
Hence, the point (2,8) is on the graph of f(x)
b) x=-1
f(-1)=3((-1)²)-(-1)-2
f(-1)=3(1)+1-2
f(-1)=3-1
f(-1)=2
c) x=-2
f(-2)=3((-2)²)-(-2)-2
f(-2)=3(4)+2-2
f(-2)=12+0
f(-2)=12
\(d)\ f(x)\in(-2\frac{1}{12} ,\infty)\)
e) y=0
3x²-x-2=0
3x²-x-2=0
3x²-3x+2x-2=0
3x(x-1)+2(x-1)-0
(x-1)(3x+2)=0
x-1=0
x=1
3x+2=0
3x=-2
Divide both parts of the equation by 3:
x=-2/3
f) x=0
f(x)=3(0²)-0-2
f(x)=3(0)-2
f(x)=0-2
f(x)=-2
absolute value of -93
Answer:
93
Step-by-step explanation:
The absolute value is just how far from away from zero a number is.
Select the statement that describes this expression: 8 + one half x (6 – 2) – 1.
Answer:
B).
Step-by-step explanation:
Add 8 to half the difference of 6 and 2 then subtract 1.
Answer:
I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.
In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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A function's graph is shown below.
If you would like to enlarge the graph or marks numbers and letters easier to read, you may click on it to open it in a new window. You may then enlarge that window with your mouse. To further enlarge the image, use your browser's zoom capabilities. On a PC this is usually ctrl shift + fand zooming out is ctrl -). On an Apple computer this is usually apple shift + (and zooming out is apple - ).
Use interval notation or set notation to answer the following questions.
The domain of this function is _____
The range of this function is _____
The domain and the range of the function are given as follows:
Domain: [-3,3].Range: {-3}.How to obtain the domain and the range of the function?The domain of a function is the set containing all the values assumed by the input of a function, hence on the graph it is given by the values of x for which the function is defined.
The range of a function is the set containing all the values assumed by the output of a function, hence on the graph it is given by the values of y which the function assumes.
In this problem, the horizontal line is given as follows:
y = -3.
Hence the lone value assumed by output is of 3, meaning that the range is given as follows:
{3}.
In {} notation because it is a single element, not an interval.
The values of x, that is, the values of the horizontal axis assumed by the function are between -3 and 3, hence the domain is given by the following interval:
[-3, 3].
Which is a closed interval due to the closed circle.
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