the larger circle has center $o$ and passes through $d$. the smaller circle has diameter $od$. what percent of the larger circle's area is gray?
25% is the larger circle area is gray.
Area of a Circle: The area of a circle is pi times the radius squared.
To calculate the area of the circle we have the formula:
A = π r²-----(1)
where
A=area
r=radius.
First, we have to analyze the given data, the large circle center o passes through d, so
Gray circle area=π*(radius)^2----(2)
The radius of the smaller circle = OD/2 substitute in (2)
Gray circle area=π*(OD/2)^2
Gray circle area=π*OD^2/4
Larger circle area=π*(radius)2
radius of the larger circle = OD
larger circle area=π*OD^2
To know the percentage of a large circle we have a small formula:
gray circle area/large circle area--------(3)
=π*OD^2/4/π*OD^2
=π*OD^2/4*1/π*OD^2=1/4
=25/100
=25%
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The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
The slope from point O to point A is fraction 1 over 4 time the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B
It is 4 throughout the line.
It is fraction 1 over 4 throughout the line.
the true statement about the slope is:
"It is fraction 1 over 4 throughout the line."
Which statement is true about the given line?On the image, we can see the graph of a linear equation that passes through the origin of the coordinate axis, and that has a positive slope.
First, a triviality, the slope of a line is a constant, this means that the slope between any pair of points that belong to the line will always be the same value.
Now, let's find the slope.
For a linear equation that passes through the points (x₁, y₁) and (x₂, y₂), the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
In this case we can use the two points:
A = (-8, -2)
O = (0, 0)
Then the slope is:
s = (0 - (-2))/(0 - (-8)) = 2/8 = 1/4
Then the true statement about the slope is:
"It is fraction 1 over 4 throughout the line."
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Find the 4th term in the sequence with the following definition help meeeeeeeeee
Answer:
-37.
Step-by-step explanation:
a2 = 2 a2-1 - 3
= 2 a1 - 3
= 2*-2 -3
= -7
a3 = 2 a3 - 3
= 2*-7 - 3
= -17
4th term a4
= 2*-17 - 3
= -37.
what is the smallest perimeter of area 12 cm can have?
edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.
Answer:
14
Step-by-step explanation:
area = lb
4*3 or 6*2 or 1*12
perimeter= 14,16,26
Find the exact value of Sin 5x/4
The exact value of sin(5π/12) is (√6 + √2)/4
Calculating the exact value of sin 5π/4From the question, we have the following parameters that can be used in our computation:
sin 5π/4
Express properly
So, we have
sin(5π/4)
Convert the angle to degrees
This gives
sin(5π/4) = sin(5/4 * 180)
Evaluate
sin(5π/4) = sin(225)
The actual value of sin(225) is -1/√2
This means that
sin(5π/4) = -1/√2
Hence, the exact value of sin(5π/12) is (√6 + √2)/4
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Question
Find the exact value of Sin 5π/4
A boat travels 196 miles in 12 hours (with a constant speed). How much time will it take traveling 427 miles?
which expressions are equivalent to z (z 6)z (z 6)z, plus, (, z, plus, 6, )
The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".
Why are the expressions "z (z + 6)z (z + 6)z + (z + 6)" and "\(z^4 * (z + 6)^2 + (z + 6)\)" equivalent?To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:
Distribute the multiplication:
z * (z + 6) * z * (z + 6) * z + (z + 6)
becomes
z * z * z * (z + 6) * (z + 6) * z + (z + 6)
Combine like terms:
z * z * z simplifies to \(z^3\)
(z + 6) * (z + 6) simplifies to (z + 6)^2
The expression now becomes:
\(z^3 * (z + 6)^2 * z + (z + 6)\)
Multiply \(z^3\) and z:
\(z^3 * z\) simplifies to \(z^4\)
The expression becomes:
\(z^4 * (z + 6)^2 + (z + 6)\)
So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".
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Find slope of (2,2) and (4,b)
Answer: Use the slope formula to find the slope
m = −2−b/2
What is 11.25 x 34.67 + 34.67 divided by 2?
Answer:
407.3725
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 131°. Find the value of x. 131⁰ to 112º
Answer:
\(x = 49degrees\)
Step-by-step explanation:
\(131 + x = 180( \: < \: on \: str \: line = 180) \\ x = 180 - 131 \\ x = 49\)
The required value of x for the given figure is 49°.
What is a straight line?A straight line can be defined as a locus of points satisfying the equation ax + by + c = 0 for two coordinates x and y.
The sum of the angles on a straight line is always 180°.
In the given figure the angles 131° and x° are on the same straight line.
Since, the sum of the angles on a straight line is 180°.
The following equation can be written for the given figure,
x + 131 = 180
=> x = 180 - 131
= 49
Hence, the value of x for the given figure is 49°.
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aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
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9. Simplify the algebraic expression. Use virtual algebra tiles or draw if you need
to! *
(-3x) + 6 + 2x - 5x + (-2) + (-2x)
Answer:
-8x + 4 is your simplified expression.
First, group like terms.
= (-3x +2x -5x -2x) then (+6 -2)
= -8x + 4
A penny, nickel, dime, and quarter are simultaneously flipped. What is the expected value of the amount of the coins which come up heads
The expected value of the amount of coins that come up heads is 2 coins.
The expected value of the amount of coins that come up heads when a penny, nickel, dime, and quarter are flipped simultaneously is given by the formula: E(X) = 1/2p + 1/2n + 1/2d + 1/2q where p, n, d, and q are the probabilities of getting heads when the penny, nickel, dime, and quarter are flipped. The probability of getting heads when a fair coin is flipped is 1/2.
Therefore, the probability of getting heads for each coin is 1/2.The expected value of the amount of coins that come up heads is: E(X) = 1/2 + 1/2 + 1/2 + 1/2= 2 coins. Therefore, the expected value of the amount of coins that come up heads is 2 coins.
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The perimeter of the triangle park shown on the right is 13x-9 what is the missing Length?
Answer:
l = 7x - 5
Step-by-step explanation:
l = missing length
P = sum of all lengths
P = 13x - 9 = l + (5x - 5) + (x + 1)
13x - 9 = l + 6x - 4
l = 13x - 6x -9 + 4
l = 7x - 5
Which of the expressions are equivalent to the one below? Check all that
apply.
3. (2 + 6) + 4.5
A. (6+2): 3+ 4.5
B. 3.2 + 3.6+4.5
O C.3.2 + (6 + 4): 5
D. 5·4+3.(6+2
Answer: Substitute the vales for the variables: (3/2)(4/1)-3+(5/3)(3/1) Follow PEMDAS rules. Multiply first. (3/2)(4/1)=12/2 =6 (5/3)(3/1)=15/3=5. So, the expression is now: 6-3+5. Now, add and subtract from left to right. 6-3+5 = 3+5
Step-by-step explanation:sorry if I’m wrong but I’m big brain
x(t) = Find a plane containing the point (-5,6,-6) and the line y(t) =
{x(t) = 7 - 5t
{y(t) = 3 - 6t
{z(t) = -6 -6t
To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.
The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.
The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).
Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.
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What is the smallest number of degrees it could be rotated?
Answer:
180° is the smallest number of degrees it could be rotated.
PLEASE MARK IT THE BRAINLIEST!!!!!
[HELP! WILL GIVE BRAINLIEST] Determine the value of θ.
Answer:20.9248 degrees
Step-by-step explanation:
sin(θ)=opposite/hypotenuse
θ=sin⁻¹(opposite/hypotenuse)
θ=sin⁻¹(5/14)
θ=20.9248 degrees or θ=0.3652 radians
an individual is hosting a cookout for a kick ball team. the individual wants to have 3 hot dogs for each guest, and 10 extra hot dogs in case some teammates bring friends. which variable is dependent?
The dependent variable in this case would be the total number of hot dogs needed for the cookout.
What is variable in math?In mathematics, a variable is a symbol, usually a letter, used to represent a quantity in an equation or in a mathematical expression. It can be thought of as a placeholder that can take on different values in a given equation or expression. Variables are essential for mathematics because they allow us to explore different scenarios and solve problems.
This is dependent on the number of guests attending, which is the independent variable. Depending on how many people show up, the individual will need to adjust the amount of hot dogs to accommodate the guests.
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translate the triangle then enter the new coordinates
Answer:
1,(8)
Step-by-step explanation:
x = 3-2=1
y = 4+4=8
Therefore, 1,8
Which letters Shown below on the number line also have their opposites labeled? (A- A and D) (B- B and C) (C- A B and C) (D- B C and D)
try number 4 I thinks its that one or number 1
NO LINK OK JUST TYPE IT IN OK
The base-ten blocks is used to represent the place values of a number.
Shawn requires 13 blocks, 4 flats and 5 longs.
In base-ten blocks;
Block = ThousandsFlat = HundredsLong = TensSo, first, we divide 13450 by 1000 to get the number of blocks
\(Block = \frac{13450}{1000}\)
\(Block = 13.450\)
Remove the decimal part
\(Block = 13\)
Multiply the decimal part by 1000, to get the remaining value
\(n = 0.450 \times 1000\)
\(n = 450\)
Divide 450 by 100, to get the number of flats
\(Flats = \frac{450}{100}\)
\(Flats = 4.5\)
Remove the decimal part
\(Flats = 4\)
Multiply the decimal part by 100, to get the remaining value
\(n = 0.5 \times 100\)
\(n = 50\)
Divide 450 by 10, to get the number of longs
\(Long = \frac{50}{10}\)
\(Long = 5\)
Hence, Shawn requires 13 blocks, 4 flats and 5 longs.
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Insert 16 rational numbers between 2.1 and 2.2
Answer:
We will apply the formula of d=y- x/n+1
Let y be 2.2 and x be 2.1 and n= 16
Then 2.2-2.1/ 16+1
0.1/17
x+d= 2.1 + 0.1 = 2.2
x+2d= 2.1+2×0.1=2.3
x+3d= 2.1+3×0.1=2.4
x+4d= 2.1+4×0.1=2.5
x+5d=2.1+5×0.1=2.6
x+6d=2.1+6×0.1=2.7
x+7d=2.1+7×0.1=2.8
x+8d=2.1+8×0.1=2.9
x+9d=2.1+9×0.1=3
x+10d=2.1+10×0.1=3.1
x+11d=2.1+11×0.1=3.2
x+12d=2.1+12×0.1=3.3
×+13d=2.1+13×0.1=3.4
x+14d=2.1+14×0.1=3.5
x+15d=2.1+15×0.1=3.6
x+16d=2.1+16×0.1=3.7
Step-by-step explanation:
mark brainlyest plz it really helps
10. The translation (x, y) = (x + 10, y-6) is applied to ABC to create a new image A'B'C'. Graph
A'B'C' on the coordinate plane.
Answer:
here you go mate.
These are the solutions
you are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. how many randomly selected air passengers must you survey assume that you want ot be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage
Rounding up to the nearest whole number, you would need to survey approximately 753 randomly selected air passengers to be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
To determine the sample size needed for estimating a population percentage with a specified margin of error and confidence level, we can use the formula for sample size calculation for proportions. The formula is:
n = (Z^2 * p * (1-p)) / E^2
Where:
n is the required sample size,
Z is the Z-score corresponding to the desired confidence level (for a 90% confidence level, Z ≈ 1.645),
p is the estimated population proportion (since we don't have an estimate, we can use 0.5 for maximum sample size),
E is the desired margin of error (in decimal form).
In this case, the desired margin of error is 3.5 percentage points, which is 0.035 in decimal form.
Plugging in the values, we have:
n = (1.645^2 * 0.5 * (1-0.5)) / 0.035^2
Calculating this expression gives us:
n ≈ 752.93
Rounding up to the nearest whole number, you would need to survey approximately 753 randomly selected air passengers to be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
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How to learn tables 1 to 10?
One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.
what is sequence ?A sequence is a group of numbers, or "terms," as 2, 5, 8. Some sequences can be made endlessly long by taking advantage of a specific pattern they follow. Add three and use the example of 2,5,8 to continue the series. There are formulas there that demonstrate where to look for words within a sequence. A collection of objects that are in some order is referred to as a sequence informally in mathematics. It has parts, much like a set. The entire, potentially infinite number of ordered objects is referred to as the sequence's length. putting two or more items in a sensible order. Chronological.
given
One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.
When counting by skips, you always start with the number you're counting by and keep adding it.
For instance, if you skip count by 2, you would get 2, 4, 6, 8, 10, etc.
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Help me out please anyone
Answer
its sorryyy
Step-by-step explanation:
the height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. which is closest to the total surface area of the new box?
The total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).
How to calculate the new total surface area of the box?To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.
Let's assume the original box has dimensions:
Length (L)
Width (W)
Height (H)
The total surface area of the original box is given by:
SA_original = 2(LW + LH + WH)
After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.
The new total surface area of the box can be calculated as follows:
SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))
Simplifying the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
Therefore, the total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.
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Can you locate the school where sir isaac newton was once the lucasian professor of mathematics?.
Answer:
The second period from 1669 to 1687 was the highly productive period in which he was Lucasian professor at Cambridge. The third period (nearly as long as the other two combined) saw Newton as a highly paid government official in London with little further interest in mathematical research.
Step-by-step explanation:
Part 1 of 3
(Type an ordered pair.)
Suppose line h is the line with equation y = -2. Given A(7.-5), B(5,3), and C(-2,-5), what are the coordinates of the vertices of A'B'C' for the reflection?
Rh
The coordinates of the vertices of A'B'C' for the reflection are (7,1),(5,-7), and (-2,1) respectively.
What is reflection?A reflection is a transformation that uses a line to reflect a figure, much like a mirror. The mirror line is also known as the line of reflection.
The given coordinates are A(7,-5), B(5,3), and C(-2,-5).
The line of reflection is y = -2.
We have to determine the coordinates of the vertices of A'B'C' for the reflection.
In this case, the x-coordinate will remain the same and the y-coordinate will vary as the points are reflected across the line y = -2.
From the line of reflection i.e.y = -2, point A(7,-5) is located down at a distance of 3 units so its reflection A' is 3 units up of line y = -2 at (7,1).
From the line of reflection i.e.y = -2, point B(5, 3) is located up at a distance of 5 units so its reflection B' is 5 units down of line y = -2 at (5,-7).
From the line of reflection i.e.y = -2, point C(-2,-5) is located down at a distance of 3 units so its reflection C' is 3 units up of line y = -2 at (-2,1).
Hence, the coordinates of the vertices of A'B'C' for the reflection are (7,1),(5,-7), and (-2,1) respectively.
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