How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answers
7\14+6\14=13\14
1-13\14=1\14
Related Questions
a1,a2,a3....a30-each of these 30 sets has 5 elements.b1,b2,....bn-each of these n sets has 3 elements.union of a1,a2...a30=union of b1,b2....bn=S.
if each elements of S is in 10 a sets and 9 bsets.then n=?
Answers
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card
(State wether the graph of the linear relationship is a solid line or a set of unconnected points.
Answers
What is the general term for the sequence 1,6,11,16,...?
n + 5
5n - 4
5n + 1
Answers
Just plug numbers into it. Make this a table.
n 0 1 2 3
y 1 6 11 16
Answer:
Step-by-step explanation:
The given sequence is:
1,6,11,16,...
Since, the sequence is Arithmetic progression, therefore
The general term for the sequence is:
[tex]A_{n}=a+(n-1)d[/tex]
where a is the first term of the sequence and d is common difference.
Substituting the given values, we get
[tex]A_{n}=1+(n-1)5[/tex]
[tex]A_{n}=1+5n-5[/tex]
[tex]A_{n}=5n-4[/tex]
which is the required general term.
Thus, option B is correct.
cell phone company A charges $20 per month plus $0.05 per text message. Cell phone company B charges $10 per month plus $0.07 per text message. Is there any number of text messages that will result in the exact same charge from both companies?
Answers
0.05x + 20 = 0
0.07x + 10 = 0
2) Equate the two.
0.05x + 20 = 0.07x + 10
0.02x = 10
x = 500
Answer : The number of text messages that will result in the exact same charge from both companies is, 500
Step-by-step explanation :
Let the number of text messages be, 'x'
Cell phone company A charges $20 per month plus $0.05 per text message. Thus, the equation will be:
[tex]20+0.05x=0[/tex] ............(1)
Cell phone company B charges $10 per month plus $0.07 per text message. Thus, the equation will be:
[tex]10+0.07x=0[/tex] ............(2)
Now equating equation 1 and 2, we get:
[tex]20+0.05x=10+0.07x[/tex]
[tex]20-10=0.07x-0.05x[/tex]
[tex]10=0.02x[/tex]
[tex]x=\frac{10}{0.02}[/tex]
[tex]x=500[/tex]
Thus, the number of text messages that will result in the exact same charge from both companies is, 500
A triangle has side length of 14 cm 48 cm and 50 cm classify it as acute obtuse or right
Answers
The triangle with side lengths of 14 cm, 48 cm, and 50 cm is a right triangle.
Explanation:The lengths of the sides of the triangle are 14 cm, 48 cm, and 50 cm. To classify the triangle, we need to determine if it is acute, obtuse, or right.
Using the Pythagorean theorem, we can check if it satisfies the condition for a right triangle. If the square of the length of the longest side (50 cm) is equal to the sum of the squares of the other two sides (14 cm and 48 cm), then it is a right triangle.
In this case, (50)^2 = (14)^2 + (48)^2, which is true. Therefore, the triangle is a right triangle.
Final answer:
A triangle with side lengths of 14 cm, 48 cm, and 50 cm is classified as an acute triangle.
Explanation:
A triangle with side lengths of 14 cm, 48 cm, and 50 cm can be classified as an acute triangle.
To determine this, we need to check if the square of the longest side (50 cm) is less than the sum of the squares of the other two sides (14 cm and 48 cm).
502 < 142 + 482
2500 < 196 + 2304
2500 < 2500
This inequality is not true, so the triangle is not obtuse or right. Thus, it is classified as an acute triangle.
What is the missing part of the equation below?
²³⁸U₉₂→²³⁴Th₉₀ + ?
A. ⁴He₂
B. ⁴³⁸He₂
C. ⁴He₄
D. ²He₄
Answers
how do you graph this function rule: y = |X| - 7
Answers
to graph it
graph x=y for all x≥0
now reflect that line across y axis
you get a v
move that whole graph 7 units down
done
If x =4 calculate the value of 2x squared - 5
Answers
= 2(x)^2 - 5
= 2(4)^2 - 5
= 2(16) - 5
= 32 - 5
= 27
What does the inequality x + 3 ≤ 2 say?
A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.
Answers
Answer:
A number and three is at most 3.
Step-by-step explanation:
Simplify by combining like terms step by step
- (3x - 4y) + x
Solve each formula for the indicated variable. step by step
h = vt -5t^2 , for v
Answers
-3x + 4y + x.....combine like terms
-2x + 4y
h = vt - 5t^2....add 5t^2 to both sides
h + 5t^2 = vt....divide both sides by t
(h + 5t^2) / t = v
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
Answers
10 percent = 10/100 = 0.10
10% of $40 = 0.10*40 = 4
You save $4
The old price is $40 and changes to $36 after the discount is applied. This is ignoring any taxes or other surcharges
Anyways I'm going a bit off tangent. The final answer is choice B) $4
Answer:
B) $4
Step-by-step explanation:
What is the circumference of a circle whose area is 121 pi square meters?
Answers
An open box with a volume of 1500 cm cube is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of side length x cm from each corner, and folding up the sides. Find the exact dimensions of the box.
Answers
width: 20 - 2x
length: 40 - 2x
height: x
Volume = width x length x height
1500 = x(20 - 2x)(40 - 2x)
1500 = x(800 + 4x² - 120x)
1500 = 4x³ - 120x² + 800x
0 = 4x³ - 120x² + 800x - 1500
0 = x³ - 30x² + 200x - 375
Solving the cubic equation:
x = 5 (only integer root)
Length = 30 cm
Width = 10 cm
Height = 5 cm
If 3x-1=11, then 2x=?
Answers
To find 2x, we first need to solve for x in the equation 3x - 1 = 11. We isolate x by adding 1 to both sides and divide by 3 to obtain x = 4. Finally, multiplying x by 2 gives us 2x = 8.
Explanation:To solve the equation 3x - 1 = 11 for 2x, we need to isolate x first. Adding 1 to both sides, we get 3x = 12. Dividing both sides by 3, we find that x = 4. Now, to find 2x, we simply multiply x by 2, which gives us 2(4) = 8.
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find the zero of the function. state the multiple zero . y=9x^3 -9x
Answers
The zeros of the function y = 9x³ - 9x are x = 0, x = 1, and x = -1. There are no multiple zeros for this function.
The question seeks to identify the zeros of the function y = 9x^3 - 9x. To find the zeros, we set the function equal to zero and solve for x.
Step 1: Set the function equal to 0: 0 = 9x³ - 9x.Step 2: Factor out a common term: 0 = 9x(x² - 1).Step 3: Factor further using difference of squares: 0 = 9x(x - 1)(x + 1).Step 4: Set each factor equal to zero: x = 0, x = 1, x = -1.Step 5: Identify the multiple zero, if any. In this case, there are no multiple zeros.The zeros of the function are x = 0, x = 1, and x = -1.
Therefore, as per the above explaination, the correct answer is x = 0, x = 1, and x = -1.
can someone please explain?
Show that the point (7/25, 24/25) is on the unit circle
Answers
d = √(x² + y²)
d = √[(7/25)² + (24/25²)]
d = 1
So this point does lie on the unit circle.
To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.
Explanation:To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.
The distance between two points, (x1, y1) and (x2, y2), is given by the formula: √((x2-x1)² + (y2-y1)²).
In this case, the distance between the point (7/25, 24/25) and the origin (0, 0) can be calculated as: √((7/25-0)² + (24/25-0)²) = √((49/625) + (576/625)) = √(625/625) = 1.
Since the distance between the given point and the origin is indeed equal to 1, we can conclude that the point is on the unit circle.
Which of the following is the best estimate for the capacity of a bottle of salad dressing?
1 fl oz
1 gal
1 pt
I'm just having trouble picturing a bottle of salad dressing... I don't use it that often. ...?
Answers
1 fl oz is the best estimate for the capacity of a bottle of salad dressing.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
1 gal
Step-by-step explanation:
Find the area of a regular hexagon with the given measurement.
2 sqrt3 apothem
A =
...?
Answers
[tex]\sf tan(x^o)=\dfrac{Opposite}{Adjacent}[/tex]
[tex]\sf tan(30^o)=\dfrac{x}{2\sqrt{\sf 3}}[/tex]
We know that [tex]\sf tan(30^o)=\dfrac{1}{\sqrt{\sf 3}}[/tex]:
[tex]\sf \dfrac{1}{\sqrt{\sf 3}}=\dfrac{x}{2\sqrt{\sf 3}}[/tex]
Multiply [tex]\sf 2\sqrt{\sf 3}[/tex] to both sides:
[tex]\sf x=\dfrac{2\sqrt{\sf 3}}{\sqrt{\sf 3}}[/tex]
Simplify:
[tex]\sf x=2[/tex]
So half the side length of the hexagon is 2. That means the entire side length is 2 * 2 = 4.
Now use the formula:
[tex]\sf A=\dfrac{1}{2}ap[/tex]
This is used to calculate the area of any regular polygon. Where 'a' is the apothem and 'p' is the perimeter. The side length is 4, a hexagon has 6 sides, so the perimeter is 6 * 4 = 24. Plug in what we know:
[tex]\sf A=\dfrac{1}{2}(2\sqrt{\sf 3})(24)[/tex]
Simplify:
[tex]\boxed{\sf A=24\sqrt{\sf 3}}[/tex]
Answer:
41.57 unit²
Step-by-step explanation:
We know,
Area of a regular hexagon = [tex]3\times (sidelength)\times (apothem)[/tex].
The length of the apothem = [tex]2\sqrt{3}[/tex] units.
Since, we know, 'a regular hexagon splits into 6 identical equilateral triangles'.
As, the apothem of the regular hexagon = height of the equilateral triangle
So, height of the equilateral triangle = [tex]2\sqrt{3}[/tex] units.
As, in the equilateral triangle, 'One of the side length is the S, other will be [tex]\frac{S}{2}[/tex] and height is [tex]2\sqrt{3}[/tex] units'.
So, using Pythagoras Theorem, we have,
[tex]hypotenuse^{2}=perpendicular^{2}+base^{2}[/tex]
i.e. [tex]S^{2}=(\frac{S}{2})^{2}+(2\sqrt{3})^{2}[/tex]
i.e. [tex]S^{2}=\frac{S^2}{4}+12[/tex]
i.e. [tex]S^{2}-\frac{S^2}{4}=12[/tex]
i.e. [tex]\frac{3S^2}{4}=12[/tex]
i.e. [tex3S^2=48[/tex]
i.e. [texS^2=16[/tex]
i.e. S= 4 units
That is, the side length of the hexagon = 4 units.
Thus, the area of the hexagon is given by,
Area of a regular hexagon = [tex]3\times (4)\times (2sqrt{3})[/tex]
i.e. Area of a regular hexagon = [tex]12\times (2sqrt{3})[/tex]
i.e. Area of a regular hexagon = [tex]24sqrt{3}[/tex]
i.e. Area of a regular hexagon = 41.57 unit²
Hence, the area of the regular hexagon is 41.57 unit².
Find the area of the region. Use a graphing utility to verify your result.
y = 6 sin(x) + sin(6x)
the graph goes from x=0 to x=pi ...?
Answers
To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval. Using a graphing utility, we can plot the function and verify the result.
Explanation:To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval.
Using a graphing utility, we can plot the function and verify the result. The integral will give us the area under the curve.
A graphing utility like Desmos or Wolfram Alpha can be used to plot the function and find the area under the curve.
3. Brinn’s rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn’s pantry. If the rectangular pantry is 3 feet wide, what is the length of the pantry?
Answers
The length of the pantry is 3 feet.
To find the length of the pantry, we need to determine its area first. According to the question, the kitchen is 9 times the size of the pantry. With the kitchen's area being 81 square feet, the pantry's area would be 81 square feet divided by 9, which equals 9 square feet. Since we are given that the width of the pantry is 3 feet, we divide the total area of the pantry by its width to find the length.
The calculation is as follows:
Area of kitchen: 81 sq ft
Area of pantry: 81 sq ft / 9 = 9 sq ft
Width of pantry: 3 ft
Length of pantry: Area of pantry / Width of pantry = 9 sq ft / 3 ft = 3 feet long.
For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.
If x = 9, then x2 = 81.
a)If x2 = 81, then x = 9.
b)If x2 = 81, then x = 9.
x2 = 81 if and only if x = 9.
c)If x2 = 9, then x = 81.
d)If x2 = 81, then x = 9.
x = 9 if and only if x2 = 81
Answers
this statement means
x2 = 81 implies x = 9, and x = 9 implies x²=81
so the converse of If x = 9, then x2 = 81 is If x2 = 81, then x = 9
The converse statement interchange the hypothesis and the conclusion.
The converse of x=9 then [tex]x^{2} =81.[/tex] is [tex]x^{2} = 81 then x=9.[/tex] is true.
A biconditional statement is defined to be true whenever both parts have the same truth value . combining the statements as a biconditional we have
If [tex]x^{2}[/tex]. = 81, then x = 9.
x = 9 if and only if [tex]x^{2} .[/tex] = 81
Option D is the right answer.
A painting measures 15 cm long by 24 cm high. You buy two posters, each showing an enlargement of the painting. The first poster measures 45 cm long by 72 cm high. The second poster measures 97.5 cm long by 156 cm high. Which of the following is true? (Hint: To be an accuarate representation of the painting, would the the poster be similar to the painting?)
Answers
I had the same thing. Please mark as Brainiest Answer.
Answer:
Both posters ARE accurate representations of the painting
Step-by-step explanation:
Gradpoint
Why is a larger down payment beneficial to a home investor?
a.
A larger down payment would only be beneficial to an investor if they intended on renting out the house.
b.
A larger down payment would enable an investor to get a loan with a higher interest rate and lower monthly payments.
c.
A larger down payment would enable an investor to get a loan with a lower interest rate and lower monthly payments.
d.
A larger down payment is essentially a larger bribe to the lending institution and gets the investor in their good favor.
Answers
The larger down payment beneficial to a home investor is because of option C.
The following information should be considered:
The large down payment could enables the investor for getting out the loan that have the less interest payment and less monthly payment. So that it is easy for the investor to pay off.Learn more: https://brainly.com/question/537797?referrer=searchResults
Find the missing number in this proportion.
7 / 35 = ? / 28
Answers
To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. The missing number is 5.6.
Explanation:To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and then setting the two products equal to each other. In this case, we have 7 * 28 = ? * 35. Solving for the missing number, we get:
7 * 28 = ? * 35
196 = ? * 35
? = 196 / 35
? = 5.6
So, the missing number is 5.6.
find the nonpermissible replacement for the variable y in this expression (y^2)/(-3y+9) find the nonpermissible replacement for the variable y in this expression (y^2)/(-3y+9)
Answers
Substituting y = 3 to the expressions yields:
(3)^2/(-3(3)+9)
9/0, which is undefined.
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Which function has the greatest y-intercept? (2 points)
f(x)
g(x)
h(x)
All three functions have the same y-intercept.
Answers
The function h(x) has the greatest y-intercept of 8, as it crosses the y-axis at the highest point.
Explanation:The function that has the greatest y-intercept is the one that crosses the y-axis at the highest value. The y-intercept is the point where the graph of a function intersects the y-axis, which is when x = 0. So, to find the function with the greatest y-intercept, we need to evaluate the y-value when x = 0 for each function.
Let's consider the functions f(x), g(x), and h(x). If f(x) has an equation of y = 3x + 5, g(x) has an equation of y = x - 2, and h(x) has an equation of y = -2x + 8, we can plug in x = 0 and see which function gives us the greatest y-value.
For f(x), when x = 0, y = 3(0) + 5 = 5. For g(x), when x = 0, y = 0 - 2 = -2. And for h(x), when x = 0, y = -2(0) + 8 = 8. Thus, h(x) has the greatest y-intercept because it crosses the y-axis at the highest point, which is 8.
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Angle ABD and angle BDE are supplementary. Find the measures of both angles.
m angle ABD =5x degrees, m angle BDE = (17x-18)degrees
Answers
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9
∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°
Solve the system by substitution.
2x - y + z = -4
z = 5
-2x + 3y - z = -10
Answers
2x - y + 5 = -4
y = 2x + 9
Substituting y and z into the third equation
-2x + 3(2x + 9) - 5 = -10
4x + 27 = -5
x = -8
y = 2(-8) + 9 = 7
z = 5
Answer: a
Step-by-step explanation: that person coulda said that
Definition of a line segment?
Answers
If Anton can carry 3 boxes per trip, how many trips will it take him to move 51 boxes? 17 27 30 37
Answers
so, for 51 boxes, it would be: 51/3 = 17
So, option A is your answer.
Hope this helps!
Answer:
17 trips will it take him to move 51 boxes
Step-by-step explanation:
Given: Anton can carry 3 boxes per trip.
That's mean for 1 trip he carry 3 boxes .
To carry 51 boxes he make , [tex]\frac{51}{3}=17[/tex] trip
Therefore, 17 trips will it take him to move 51 boxes.