With the mentioned area of fabric, the five person in group will get 6.47 ft² of fabric per person.
Firstly converting the area of fabric from mixed fraction to fraction.
The area of fabric = (32×3 + 1)/3
Performing multiplication and addition on Right Hand Side of the equation
The area of fabric = 97/3 ft²
Amount of fabric each person gets = (97/3)/5
Performing division on Right Hand Side of the equation
Amount of fabric each person gets = 97/(3×5)
Amount of fabric each person gets = 97/15
Amount of fabric each person gets = 6.47 ft²
Thus, each person will get the fabric of area 6.47 ft².
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18. Is this figure a polygon? Explain.
Answer:
no
Step-by-step explanation:
A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.
If the diameter of a circle is 8. 4 in. , find the area and the circumference of the circle. Use 3. 14 for pi. Round your answers to the nearest hundredth
The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.
The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.
First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.
To find the circumference of the circle, we can use the formula:
C = πd
where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:
C = 3.14 x 8.4 = 26.376
Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).
To find the area of the circle, we can use the formula:
A = πr²
where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:
A = 3.14 x (4.2)² = 55.3896
Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).
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Fill in the blank. In the triangle below, x =
decimal places
Round your answer to two
Answer:
44.80
Step-By-Step Explanation:
Ap3x
Write an equation of a line in point-slope form with the
information given.
1. passes through: (6, 0); slope: - 1/6
Answer: (y − 0) = -(1/6)(x − 6) or y=-(1/6)(x-6)
Step-by-step explanation:
An equation in Point Slope form: y − y1 = m(x − x1), where m is the slope and x1 and y1 are provided as a single point, (x1,y1). We have slope(m) = -(1/6) and are given (6,0). Therefore:
(y − 0) = -(1/6)(x − 6) (Point slope form)
y = -(1/6)(x-6)
Rewriting this into standard form, y = mx + b
y = -(1/6)x + 1
Find each difference.
61-(-11)
The value of the given difference we get,
61-(-11) = 72
The given expression is,
61-(-11)
Here we have to find the difference,
Therefore we have to subtract -11 from 61.
Since we know that,
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Also since the multiplication of a negative sign with a negative sign gives a positive sign. So we get
⇒ 61 + 11
Now adding 61 with 11 we get
⇒ 72
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Percentage change
….
Answer:
80%
Step-by-step explanation:
Change is (45-25)/25*100=(20/25)*100=80%
Can you please help me please:(
Answer:
I think that the answer would be 12.
Step-by-step explanation:
1/2 gallon = 24 brownies
I do not know if that is right but I think it is.
sorry if its not
A air traffic control system is tracking two fighter jets, both of which are flying at the same altitude and their directed distance is measured in kilometers. If they have coordinates of (4, 150°) and (2, 195°), find the distance between the two jets.
Answer:
The distance between the two jets is approximately 2.947 kilometers.
Step-by-step explanation:
From the statement we know the location of each jet in polar coordinates, which are defined by the following notation:
\(\vec r = (r, \theta)\) (1)
Where:
\(r\) - Distance of the jet from the origin, measured in kilometers.
\(\theta\) - Angle of the jet with respect to the east direction, measured in sexagesimal degrees.
To transform polar coordinates into rectangular coordinates, we use the following expressions:
\(x = r\cdot \cos \theta\) (2)
\(y = r\cdot \sin \theta\) (3)
And lastly, we determine the distance between the two jets (\(d\)), measured in kilometers, by the Pythagorean Theorem:
\(d = \sqrt{(r_{2}\cdot \cos \theta_{2}-r_{1}\cdot \cos \theta_{1})^{2}+(r_{2}\cdot \sin \theta_{2}-r_{1}\cdot \sin \theta_{1})^{2}}\) (4)
If we know that \(r_{2} = 4\,km\), \(\theta_{2} = 150^{\circ}\), \(r_{1} = 2\,km\) and \(\theta_{1} = 195^{\circ}\), the distance between the two jets is:
\(d = \sqrt{[(4\,km)\cdot \cos 150^{\circ} -(2\,km)\cdot \cos 195^{\circ}]^{2}+[(4\,km)\cdot \sin 150^{\circ} -(2\,km)\cdot \sin 195^{\circ}]^{2}}\)
\(d \approx 2.947\,km\)
The distance between the two jets is approximately 2.947 kilometers.
Combine like terms 3x-7x=
Answer:
-4x
Step-by-step explanation:
3-7=-4 just add a x
Please help!! I'm in summer school and I can't fail
Answer:
b. -5/2
Step-by-step explanation:
You chose the correct answer,
The slope of a perpendicular line is the opposite reciprocal of the original slope. This means flip the fraction and add a negative sign. 2/5 --> -5/2.
Answer:
-5/2
Step-by-step explanation:
Your answer was correct
The slope of a perpendicular line is the opposite reciprocal of the original slope. This means flip the fraction and add a negative sign. 2/5 --> -5/2.
seven million four hundred and ten thousand five hundred and thirty-nine. in numbers
Answer:
7410539
Step-by-step explanation:
Answer:
7410539
Good luck!
Explain My last question for my test!! If you help Thank you soo much I will give brainliest if I have time and notice
Answer:
Step-by-step explanation:
(13g+1) - (-2-5g) = 8/3(3g+9/8)
We'll set them equal for now and then simplify
(13g + 1 - 2 - 5g) = (8g + 3)
8g - 1 = 8g + 3
So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Please answer will mark brainliest
Answer:the very last answer on the paper
Step-by-step explanation:
If you know the length of the longer leg of a 30-60-90 triangle, how do you find the length of the other, shorter leg?
As per the triangle, the length of the other, shorter leg is 3.46 units.
We know that a is twice the length of b, so we can write:
a = 2b
We also know that c is the square root of three times b, or:
c = √3b
Now, let's say we're given the length of the longer leg, a. We can use our equation a = 2b to solve for b:
a = 2b
b = a/2
So, we know that the shorter leg is half the length of the longer leg. For example, if a is 8, then b is 4.
To double-check our answer, we can use the equation for the hypotenuse:
c = √3b
c = √3(4)
c = 2√3 = 3.46
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What are the first 3 consecutive odd numbers?
The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
consecutive odd numbers:
Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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question 1 options: as a quality control inspector: you have previously believed a claim that 3.2% of items made on your production line are defective. to see if you should still believe this claim: you decide to do a two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective. in percentage form, and rounded to four digits past the decimal point: what is the approximate p-value of your test? answer: the approximate p-value of this test is % state your answer in percentage form. a percentage symbol is already provided. round your answer to four digits past the decimal point. include all four digits past the decimal point, even if some digits are zeros. include only your number for the answer. do not include any other information (such as another percentage symbol, or equal symbol, words, spaces, etc).
The approximate p-value is 5.1250%.
P-value is the probability of obtaining a test statistic as or more extreme than what was actually observed, given that the null hypothesis is true.
Two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective.
The approximate p-value for this two-sided significance test, with a significance level of 2%, is 5.1250%.
This is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This was calculated using a binomial test, which takes into account the sample size and the expected rate of defects.
This p-value indicates whether or not the observed rate of defects is significantly different from the expected rate.
In this case, the p-value is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This can be calculated using a binomial test.
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Rewrite 4x + 16 using a common factor.
The rewritten expression using a common factor is:
4x + 16 = 4*(x + 16)
How to rewrite the expression using a common factor?Here we want to rewrite the expression:
4x + 16
Ussing a common factor, so let's factorize the terms.
The first one is simple:
4x = 4*x
The second one is also simple, we can write:
16 = 4*4
Then the common factor is 4, and we can rewrite the expression as:
4x + 16 = 4*(x + 16)
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Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
3x - 1
122+2
D
2y + 6
O 14 units
O 38 units
044 units
O 49 units
Answer:
38
Step-by-step explanation:
SEE QUESTION IN IMAGE
Answer:
c) 11.5Step-by-step explanation:
Total frequencies:
6 + 15 + 20 + 7 + 2 = 50Median group is the containing the middle - 25th and 26th frequencies. This is the 11-15 interval.
Estimated median formula:
Estimated Median = L + ((n/2) − B)/G* w, whereL - lower class boundary of the group containing the median = 10.5 n - total number of values = 50 B - cumulative frequency of the groups before the median group = 6 + 15 = 21 G - frequency of the median group = 20 w - group width = 5Substitute values and work out the number:
Estimated Median = 10.5 + (50/2 - 21)/20*5 = 11.5What is the slope of the line represented by the equation y =-7/2x+1/4?
Answer:
-7/2
Step-by-step explanation:
It's kinda hard to explain... just take the answer lol
Please help me this is due in 20min please!!! i’m suppoes to make a graph of that... please someone.
Answer:
im assuming this is what you mean considering the little information given.
Step-by-step explanation:
wich is greater 45%, 1/2, 0.55
Answer:
0.55
Step-by-step explanation:
45/100 = 0.45
1/2 = 0.50
Answer:
0.55 is the biggest
Step-by-step explanation:
45% can be converted to 0.45
1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)
0.55 is already done for you, so there is nothing to do here.
Therefore, the biggest is 0.55
If the domain of the function y 4x + 1 is 0 < x < 10, what is the function's range?
9514 1404 393
Answer:
1 < y < 41
Step-by-step explanation:
The range of the linear function can be found by looking at the end points of the domain.
y = 4x +1
y = 4(0) +1 = 1 . . . . . . at x = 0
y = 4(10) +1 = 41 . . . . at x = 10
The range is 1 < y < 41.
find the volume of the coneheight 12 ftbase diameter 8ftuse the value 3.14 for pie
Given Parameters
height 12 ft
base diameter 8ft Therefore, the radius r =4ft
use the value 3.14 for pie
The formula
\(\begin{gathered} \text{The volume of a cone =}\frac{1}{3}\pi r^2h \\ \\ \text{Substitute the given parameters into the formula} \\ \\ \text{The volume of a cone =}\frac{1}{3}\times3.14\times4^2\times12 \\ \\ \text{The volume of a cone =}\frac{1}{3}\times3.14\times16^{}\times12 \\ \text{The volume of a cone =}3.14\times16^{}\times4 \\ \text{The volume of a cone =}3.14\times64 \\ \\ \text{The volume of a cone =200.96 ft}^3 \end{gathered}\)The final answer
\(\text{The volume of a cone =200.96 ft}^3\)PLEASE HELP NO ONE HAS GOTTEN THIS RIGHT. IF YOU 1,000% KNOW IT I WANT YOUR ANSWER
For each value of u , determine whether it is a solution to 9>u-26 .
34: yes or no
40: yes or no
32: yes or no
35: yes or no
Answer:
34: yes
40: no
32: yes
35: no
Step-by-step explanation:
hope this helps!
What is the area of a circle, rounded to the nearest tenth, with a
diameter of 12 centimeters?
Answer:
113
Step-by-step explanation:
area of a circle is 3.14*r^2
r=d/2 r=6
3.14*36=113
A student calculated the slope of the line graphed below to
be 2.
Explain the mistake and give the correct slope.
The slope of a linear function is calculated as the change in y divided by the change in x, instead of the change in x divided by the change in y, as the student did, hence the correct slope is given as follows:
1/2 = 0.5.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.From the graph, when x increases by 2, y increases by 1, hence the slope m of the linear function is given as follows:
m = 1/2
m = 0.5.
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2 apples cost 2 dabloons.
How much does 1 apple cost
Item 1
Why was the Missouri Compromise created?
The major differences in beliefs between the branches of government caused sectionalism, forcing the legislative branch and executive branch to make a compromise.
The major differences between the North and the South caused sectionalism in the United States, leading to compromise between the regions.
The major differences between the East and the West caused sectionalism in the United States, leading to compromise between the regions.
The major differences between the cities and the countryside caused sectionalism in the United States, leading to compromise between the regions.
The Missouri Compromise was created to settle the issue of slavery in the territories and maintain the balance of free and slave states in the United States. The correct option is "The major differences between the North and the South caused sectionalism in the United States, leading to compromise between the regions.
"The Missouri Compromise" was passed by the U.S. Congress in 1820. It settled the conflict that arose from Missouri's application for statehood as a slave state, which would upset the balance between free and slave states in the country.
The compromise allowed Missouri to enter the Union as a slave state, Maine to join as a free state, and established the 36°30' parallel as the dividing line between free and slave territories in the Louisiana Purchase.
This agreement maintained a balance of power in the Senate between free and slave states. The conflict and compromise demonstrate the sectionalism that existed between the North and South in the United States at the time.
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