Answer:
12.56 kmStep-by-step explanation:
To Find:Length of the arc.Information Provided:Radius of the circle is 4 km.Degree of the arc is 180°.Formulas:To find length of the required arc\( \frac{x}{ {360}^{o} } \times 2\pi \: r\)
Solution:Given,
Radius of the circle (r) = 4 km
Angle of the given arc (x) = 180°
Therefore,
Length of the given arc
\( = \frac{x}{ {360}^{o} } \times 2\pi \: r\)
[On putting the values]\( = (\frac{ {180}^{o} }{ {360}^{o} } \times 2 \times 3.14 \times 4) \: km\)
[On simplifying]\( =( \frac{1}{2} \times 2 \times 3.14 \times 4) \: km\)
[Further simplification]= 12.56 km
Hence,
The required length of the given arc is 12.56 km (Ans)
solve 9x + 7 = 6 + 7x + 17
Answer: 9x + 7 = 7x + 17
9x + 7 = 23 + 7x
x = 8
Find the surface area of the box shown
select the correct word form for 444,404
Answer:
FOUR HUNDRED FORTY-FOUR THOUSAND FOUR HUNDRED FOUR
Step-by-step explanation:
Answer:
The correct word form is:
Four hundred and forty-four my four hundred and four
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Select the equivalent expression.
A, B or C?
Answer:
A
Step-by-step explanation:
The relevant rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
\(\left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}\)
answer please math 1234556778898999000
Answer:
\(\sqrt{6}\)
Step-by-step explanation:
A copy machine makes 168 copies in 5 minutes and 15 seconds.how many copies does it make per minute
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the
number of minutes.
On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels,
Answer:
Graph D is the correct answer
Step-by-step explanation:
The graph of is attached.
The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.
Also, the slope of is 2, and the y-intercept is 2.
Now let us look at the choices given and determine which graph represents the function .
The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.
The second graph has y-intercept of 3—also not our graph.
The third graph also has a y-intercept of 3—this does match our graph either.
The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.
Therefore, the graph that matches our graph is D.
Elizabeth has $26 left after shopping at the mall. She bought 2 shirts for $22.99 each, a drink for $2.02, and 2 books for $16 each. How much money did she start with?
Step-by-step explanation:
22.99 × 2 + 2.02 + 16 × 2 + 26= $106
349324923420 × 4π × 9π × 9908=?????
FREE AWARD!!!!!
1.2297528e+18
There ya go
HELP PLEASE M BEGGNG
Answer:
Min: 1
Q1: 2
Median: 7
Q3: 9
Max: 11.5
Step-by-step explanation:
The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.
The first bar represents the minimum, which in this case is 1.
The second bar represents the first quartile (Q1), which in this case is 2.
The third bar represents the median, which in this case is 7.
The fourth bar represents the third quartile (Q3), which in this case is 9.
And the fifth bar represents the maximum, which in this case is 11.5.
Answer:
Min: 1
Q1: 2
Median: 7
Q3: 9
Max: 11.5
Step-by-step explanation:
I hope it helps:)
-5 = -36 / m + m
pls help me with this question hurry
This is 6 grade work
The solution of the given quadratic equation -5 = -36 / m + m is,
m = - 9 or m = 4
The given equation is
-5 = -36 / m + m
After re arranging it we get,
m² + 5m - 36 = 0
This is nothing but quadratic equation,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
So now we can write,
⇒ m² + 9m - 4m - 36 = 0
⇒ m(m + 9) - 4(m + 9) = 0
⇒ (m + 9)(m - 4) = 0
Therefore,
⇒ (m + 9) = 0 or (m - 4) = 0
⇒ m = - 9 or m = 4
Thus,
The solution of the given expression is
m = - 9 or m = 4
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The sum of the base and height of a triangle is 14 cm. Which of the following equations could be used to find the maximum area of the triangle?
A) A = 0.5x^2 - 15x
B) A = -0.5x^2 + 7x
C) A = -x^2 + 10x
D) A = x^2 - 10x
Answer:
B
Step-by-step explanation:
Let the base of the triangle be b and the height be h.
The sum of the base and height is 14. Thus:
\(b+h=14\)
Recall that the area of a triangle is given by:
\(\displaystyle A=\frac{1}{2}bh\)
From the first equation, solve for either variable:
\(h=14-b\)
Substitute:
\(\displaystyle A=\frac{1}{2}b(14-b)\)
Distribute:
\(\displaystyle A=\frac{1}{2}(14b-b^2)\)
Distribute:
\(\displaystyle A=-0.5b^2+7b\)
Let b = x. Hence:
\(A=-0.5x^2+7x\)
Therefore, our answer is B.
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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Suppose that the random variable X represents the length of a punched part in centimeters. Let Y be the length of the part in millimeters. If and , what are the mean and variance of Y
Complete Question
Suppose that the random variable X represents the length of a punched part in
centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,
what are the mean and variance of Y?
Answer:
The mean
\(E(Y) =50 mm\)
The variance
\(V(Y) = 25 mm\)
Step-by-step explanation:
From the question we are told that
Length in cm is X
Length in mm is Y
Generally 10 mm = 1 cm
So
\(Y = 10 X\)
Hence the expected mean of Y is
\(E(Y) = E (10 X)\)
=> \(E(Y) = 10 E(X)\)
From the question \(E(X) = 5\)
So
\(E(Y) = 10 * 5\)
=> \(E(Y) =50 mm\)
Gnerally the variance of X is
\(V(X) = E [X^2] -E[X]^2\)
From the question we are told that \(V(X) = 0.25\)
=> \(0.25 = E [X^2] -E[X]^2\)
Gnerally the variance of Y
\(V(Y) = E [Y^2] -E[Y]^2\)
=> \(V(Y) = E [10X^2] -E[X]^2\)
=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)
=> \(V(Y) = 10^2* V(X)\)
=> \(V(Y) = 10^2* 0.25\)
=> \(V(Y) = 25 mm\)
Point (-8,4) and point (7,4) what is the distance between the points
Answer:
15 units
because the y-coordinates are the same, simply take the absolute difference of the x-coordinates. |-8 - 7| = |-15| = 15
(we take the absolute difference because distance can never be negative)
hope this helps! <3
what is mathematics?
Answer:
Mathematics is a branch of science which involves numbers,space and quantity.
Step-by-step explanation:
I hope this helps you in any way.Have a great day :)
Answer: the abstract science of number, quantity, and space. Mathematics may be studied in its own right (pure mathematics),
Step-by-step explanation:
or as it is applied to other disciplines such as physics and engineering (applied mathematics).
A cylinder has a height of 10 cm and a radius of 4 cm. If the mass of the cylinder is 500 grams, what is the density of the material it is made of?
i think the answer is 0.9 or 1?
Answer:
The volume of the cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height:
V= πr²h = π(4cm)²(10cm) = 160π cm³
The density of the material is given by the mass per unit volume:
density = mass/volume = 500g / 160π= π(4 cm)²(10 cm)
= 160π cm³
The mass and volume are related by density (ρ), which is defined as mass per unit volume:
ρ = m/V
where m is the mass and V is the volume.
Substituting the given values, we get:
ρ = 500 g / 160π cm³
ρ ≈ 0.988 g/cm³
Therefore, the density of the material the cylinder is made of is 0.988 g/cm³.
Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2
Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?
Snow flake
A.
No
B.
Yes; 3 lines of symmetry
C.
Yes; 6 lines of symmetry
D.
Yes; 12 lines of symmetry
The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.
How many lines of symmetry does a snowflake have ?Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.
So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided
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help me u get brainliest plus more points :D
Answer:
6 is 56.25
7 is 97.50
Step-by-step explanation:
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
What is the approximate length of side GF in triangle EFG?
Answer:
41.93 degrees
Step-by-step explanation:
Florida Company (FC) and Minnesota Company (MC) are both service companies. Their stock returns for the past three years were as follows: FC: −5 percent, 15 percent, 20 percent; MC: 8 percent, 8 percent, 20 percent. Calculate the mean return for each company.
Using the mean concept, it is found that:
The mean return for Florida Company is 10%.The mean return for Minnesota Company is 12%.The mean of a data-set is given by the sum of all observations divided by the number of observations.
For Florida Company(FC):
3 returns, of -5%, 15% and 20%.Thus, the mean is:
\(M = \frac{-5 + 15 + 20}{3} = \frac{30}{3} = 10\)
The mean return for Florida Company is 10%.
For Minnesota Company(MC):
3 returns, of 8%, 8% and 20%.Thus, the mean is:
\(M = \frac{8 + 8 + 20}{3} = \frac{36}{3} = 12\)
The mean return for Minnesota Company is 12%.
A similar problem is given at https://brainly.com/question/13451786
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
14 i (Simplify:) Vī6 +54 - /250
Help!
Question: total area of this composite figure
Answer choices:
A)30
B)54
C)59
D)74
I think its 74 but im unsure
Answer:
Your right the answer is 74
Step-by-step explanation:
Given f(x) = -3(x + 2), what is the value of f(−7)?
Answer:
f(-7) = 15
Step-by-step explanation:
Subsitute x = - 7 into f (X) = - 3 (x+2)
f(-7) = -3 x (-7+2)
calculate the sum or difference
f(-7) =-3 x (-5)
determine the sign for multiplication or division
f(-7)=3x5
calculate the product or quotient
f(-7)=15
final awnser f(-7)=15
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
Tariq and Lucia are finalists in a baking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their primary flavor must be. Here are the available cards:
Answer:
0.03
Step-by-step explanation:
Answer:
.03 on Khan Academy
Step-by-step explanation: