F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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A submarine is positioned at 300 feet below sea level. A bird is flying 100 foot above sea
level. How many feet above the submarine is the bird?
-300-200-1000
100 200 300
Answer:
h = 400 ft
The bird is 400 ft above the submarine
Step-by-step explanation:
Given;
The submarine is 300 feet below sea level
Vertical distance between submarine and sea level h1 = 300 feet
The bird is flying at 100 feet above sea level
Vertical distance between the sea level and the bird h2 = 100 feet
The total vertical distance between the bird and the submarine is the sum of the vertical distance between submarine and sea level and the vertical distance between the sea level and the bird.
h = h1 + h2
h = 300 ft + 100 ft
h = 400 ft
The bird is 400 ft above the submarine
Answer:
The bird is 400 ft above the submarine
Step-by-step explanation:
what is the value of X6.75+3/8 X equals 13 1/4
Answer:
\(x = 1 \frac{49}{57} \)
Step-by-step explanation:
\(6.75x + \frac{3}{8} x = 13 \frac{1}{4} \)
Multiply the whole equation by 8, to eliminate the fractions:
\(54x + 3x = 106\)
\(57x = 106\)
Divide both parts of the equation by 57:
\(x = \frac{106}{57} = 1 \frac{49}{57} \)
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
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Is the solution x = 4 correct?
1. Check the solution in the equation.
2. Justify your answer
Enter your answer and your justification in the space
provided.
Yes, the solution is correct as x = 4
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.
These expressions are also composed of operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParenthesesFrom the information given, we have that;
8 - √x = 10
collect the like terms
- √x = 10 - 8
subtract the values
- √x = 2
Then, we have;
√x = -2
Take the square root of both sides
x = (-2)²
x = 4
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Simplify the expression.
ky + y + y =
Answer:
ky + 2y
Step-by-step explanation:
ky + y + y
~Combine like terms
ky + 2y
Best of Luck!
Answer:
ky + 2y
Step-by-step explanation:
ky = ky (it stays the same)y + y = 2yPut them together: ky + 2yI hope this helps!
Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
32
16
11
Two needed formulas,:
To find the area of a parallelogram, use
A = bh.
To find the area of a semicircle, use
Area = (πr^2)/2.
The area of the parallelogram is 11 x 32 or 352.
The two semicircle have the same measure.
The radius of the semicircle is (1/2)(16) or 8.
Area = (π8^2)/2
Area = 64π ÷ 2
A = 32π
There are two semicircle.
So, the area of both semicircle combined is
2(32π) or 64π.
Area of figure = 64π + 352.
Area of figure = 553.0619298304
We now round to the nearest tenths to get
Area of the figure = 553.06.
How do you graph X>=4y?
Answer:
\(x\geq 4y\\y\leq \frac{x}{4}\)
While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for ____________ to a problem. Evidence An explanation A solution
While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.
What is the problem?
A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.
The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.
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a popular theater has had 399,867,231 visitors since it opened. Which number, written in scientific notation, is the best approximation of the number of visitors
Answer:
4 x \(10^{8}\)
Step-by-step explanation:
Round the number to
400,000,000
4 x \(10^{8}\)
We moved the decimal 8 places.
Answer:
4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.
Step-by-step explanation:
Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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Given D(7,2), E(1, 9), F(4,8), and G(x, 1). Find a such that DE || FG.
The value of x with the given condition is 10
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
D(7,2), E(1, 9), F(4,8), and G(x, 1),
Also, we have
DE || FG
This means that the lines DE and FG are parallel lines and they have equal slope
The slope is then calculated as
slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)
Evaluate the difference
-7/6 = -7/(x - 4)
So. we have
x - 4 = 6
Evaluate
x = 10
Hence. the value of x is 10
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NUMBER 6 ONLY. Please help. Only if you are SURE
Answer:
I think it should be zero
what is the x-intercept for y=7/4x+1/4
9514 1404 393
Answer:
-1/7
Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x.
0 = 7/4x +1/4
Multiply by 4/7
0 = x + 1/7
Subtract 1/7
-1/7 = x
The x-intercept is -1/7.
_____
In decimal, that is -0.142857... (6-digit repeating decimal)
What is the meaning of "A formula without free variables"?
A formula without free variables is a formula that does not contain any variables that are not quantified.
What is a formula without free variables ?Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.
Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.
Formulas without free variables are often easier to work with than formulas with free variables.
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Please help!
Factor x2+9x−22
Answer:
(x-2)(x+11)
Step-by-step explanation:
Write the problem as mathematical expression.
x^2+9x-22
Consider the form x^2+bx+c. Find a pair of integers whose products is c and whose sum is b. In this case, whose product is -22 and whose sum is 9.
-2,11
Write the factored form using these integers.
(x-2)(x+11)
Answer:
Step-by-step explanation:
(x -2) (x+11)
Where A = -7 and b = 9 what is the value of the midpoint?
Answer:
Find the value of x if B is the midpoint of AC, AB = 2x + 9 and BC = 37
Step-by-step explanation:
Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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URGENT PLEASE HELP!!!
A manager records the repair cost for 4 randomly selected stereos. A sample mean of $71.02 and standard deviation of $28.56 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the stereos. Assume the population is approximately normal.
Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
The critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.
The critical value to be used in constructing the 90% confidence interval is 1.645. This is the z-score associated with a 90% confidence level. In other words, this is the value that is 1.645 standard deviations away from the mean. This value is found using the z-table, which contains the probability values for a standard normal distribution.
Therefore, the critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.
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Mariana and her best friend are attending a concert in a large auditorium. They just climbed up 125 steps. The number of steps they climbed can be represented by
zero
positive
negative
The number of steps they climbed can be represented by positive
How to represent the number of steps?From the question, we understand that they climbed up
Upward movements are usually represented by the positive sign
This means that:
Steps = 125 or +125
Hence, the number of steps they climbed can be represented by positive
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Z is the centroid of UVW
Z is the intersection of the triangle's ______
A. Medians
B. altitudes
C. angle bisectors
D. perpendicular bisectors
Answer: A
Step-by-step explanation:
The intersection point of the medians of a triangle is defined to be the centroid.
The solution is Option A.
The centroid of the triangle UVW is the intersection of the medians of the triangles
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as UVW
Now , the median of the triangle from U is given by
The measure of WY = The measure of YV
The median of the triangle from W is given by
The measure of UX = The measure of XV
And , the point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians
So , median is a line that joins the midpoint of a side and the opposite vertex of the triangle
Hence , the point Z is the intersection of the triangle's medians
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On the game show "The Price is Right", the highest winning amount was $262,743. The next largest winning amount was only 81.4012% of the highest. What was the second highest winning amount rounded to the nearest dollar?
Answer:
\(Second = \$213876\)
Step-by-step explanation:
Given
Highest Winning = $262,743
Second Highest Winning = 81.4012% of the first
Required
Determine the value of the second highest winning
Recall that
\(Second\ Highest\ Winning = 81.4012\%\ of\ the\ first\)
Substitute $262,743 for the first highest winning
\(Second = 81.4012\%\ of\ \$262,743\)
\(Second = 81.4012\%\ * \$262,743\)
\(Second = \$213875.954916\)
Approximate
\(Second = \$213876\)
Hence, the second highest winning is approximately $213876
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
Reason Can you subtract a positive integer from a positive integer
and get a negive result? Explain your answer.
Answer:
No
Step-by-step explanation:
No matter the situation, when you multiply a negative by a negativeyou get a positive and a positive by a positive you get a positive. but if its two different like a negative and a positive then its NEGITIVE.
let's say you have 23 and you're multiplying by 2.
It's always increasing so it doesnt ever reach the negitive numbers.
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
Solve -1/3w -3/5 = 1/5w
Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
\(\frac{-3}{5}\)*\(\frac{15}{8}\) ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
\(\frac{-3}{1}\)*\(\frac{3}{8}\) -----> now multiply across
w= -9/8
Answer: -6/7
Step-by-step explanation:
-1/2w-3/5=1/5w
-w/2 - 3/5=w/5
Collect like terms
w/5 + w/2=-3/5
(2w + 5w)/10=-3/5
7w/10=-3/5
Cross multiply
7w x 5=-3 x 10
35w=-30
Divide both sides by 35
35w/35=-30/35
w=-6/7
Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute long video
The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.
What is the time taken by Mabel to edit the hour?According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.
On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.
Hence, the time taken to edit the 15minute long video is; 20 hours.
hi
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Need help with the provided questions
which of the following solutions to the quadratic equation? Check all that apply
2x^2 + 5x - 10 = x^2 + 4
Answer:
Step-by-step explanation:
a and d
in a right triangle ABC,angleB=90°
(a) If AB=6cm,BC=8cm find AC
(b) if AC=13cm,BC=5cm find AB
Step-by-step explanation:
hypotenuse =
\( \sqrt{a {}^{2} + b {}^{2} } \)