What is the approximate circumference of the circle shown below?
A.20cm
B.31.4cm
C.62.8cm
D.40cm
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Formula for finding the circumference:}[/tex]
[tex]\mathbf{2\times\pi\times radius = circumference}[/tex]
[tex]\huge\textbf{So, your equation should look like this:}[/tex]
[tex]\mathbf{\boxed{\textbf{circumference}} \approx 2\times3.14\times10}[/tex]
[tex]\huge\textbf{Now, that we have that information}\\\\\huge\textbf{out of the way, we can answer the}\\\\\huge\textbf{question, shall we begin?}[/tex]
[tex]\mathbf{\boxed{\textbf{circumference}} \approx 2\times3.14\times10}[/tex]
[tex]\mathbf{\boxed{\text{\bf circumference}}\approx 6.28 \times 10}[/tex]
[tex]\mathbf{\boxed{\bf circumference} \approx 62.8}[/tex]
[tex]\huge\textbf{Answer:}[/tex]
[tex]\huge\boxed{\textsf{Option C. 62.8 cm}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
Answer is C 62.8cm
Step-by-step explanation:
I just took the quiz!
Related Questions
Find the area of a triangle with points (-8,8) , (10,-2), and (-8,-8)
Answers
Answer:
144
Step-by-step explanation:
Base:16
Height: 18
Triangle area formula: (bxh)/2
16x18=288
288/2=144
HELP GEOMETRY) Fill in the blanks:
How many degrees is angle LKZ?
How many degrees is angle LMZ?
How many degrees is arc LKZ?
Answers
Answer:
Step-by-step explanation:
A solid right pyramid has a square base with an edge length of s units and a height of h units.
Which expression represents the volume of the pyramid?
One-fourth s^2h units^3
One-third s^2h units^3
s^2h units^3
3^s2h units^3
Answers
The volume of the square pyramid is: B. One-third s^2h units^3.
What is the Volume of a Square Pyramid?An example of a square pyramid is given in the image attached below. It has a square base and 4 triangular faces.
A right pyramid that has a square base has a volume that can be calculated using the following volume formula, given as: 1/3(a² × h), where "a" is the length of the edge of the square base, and "h" is the height of the square pyramid.
Given the following parameters for a square pyramid:
The length of the edge of the square base (a) = s units
The height of the square pyramid = h units.
Plug in the values into 1/3(a² × h) to find the expression that represents the volume of the pyramid:
Volume of the square pyramid = 1/3(a² × h) = 1/3(s² × h)
Volume of the square pyramid = 1/3s²h units ³.
The expression that represents the volume of the square pyramid is: B. One-third s^2h units^3.
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this is timed, much help is appreciated:)
Answers
The value of the angle m∠4 is 105 degrees.
How to find angles in a quadrilateral?The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
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approximately how high to the nearest tenth of a metre is emma's kite above ground
Answers
Lily is 22 years old. Monica is 3 years older than Lily and 2 years younger than Christine. How old is Christine
Answers
Answer:
she would be 20 years old if lily is 22
So Monica is 25 years old.
Christine is 2 years older than Monica. So…
25+2=27
Christine is 27 years old
One-quarter of the counters in a tub are red. The rest of the counters are green. If there are 48 green counters, how many red counters are there?
Answers
There are 16 red counters there.
Fractions and proportionsIf one-quarter of the counters in a tub are red and the rest are green, then there are three-quarter of the counter in the tub.
Let the total counter be x such that
3/4x = 48
3x = 4 * 48
x = 4 * 16
x = 64
Determine the amount of red counter
Red counter = 64 - 48
Red counter = 16
Hence there are 16 red counters there.
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question on the image
Answers
Let [tex]x,y[/tex] be the legs of the triangle, with [tex]x[tex]\mathrm{area}_{\rm square} = y^2[/tex]
[tex]\mathrm{area}_{\rm triangle} = \dfrac12 xy[/tex]
The square has 3 times the area of the triangle, so
[tex]y^2 = \dfrac32 xy[/tex]
Meanwhile, in the triangle we have
[tex]\tan(\theta) = \dfrac xy[/tex]
Now,
[tex]y^2 = \dfrac32 xy \implies \dfrac23 = \dfrac xy \implies \boxed{\tan(\theta) = \dfrac23}[/tex]
Quinn wants to save $300 this year. She saves $25 after her first dog-sitting job. How much more money does Quinn need to reach her goal for the year?
Answers
Quinn needs to save another $275.
How much more money does Quinn need to reach her goal for the year?
The money that she needs will be equal to the difference between the amount that she wants to save, and the amount that she already has.
She wants to save $300.She already has $25The difference is:
D = $300 - $25 = $275
This means that, to reach her goal this year, Quinn needs to save another $275.
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Use the box-and-whisker plots to determine which statements are true.
Answers
The true statements are :
the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.
The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.
What are the true options?A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers and a box. The whiskers represents the minimum and maximum scores. The difference between the minimum and maximum scores is the range.
On the box, the first line to the left represents the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile.
Range for New Orleans = 85 - 50 = 35
Range for Indianapolis = 75 - 25 = 50
Median for New Orleans = 70
Upper quartile for Indianapolis = 70
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37. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
37. x-intercept at (-5, 0) and y-intercept at (0, 4)
Answers
Answer:
The linear equation for the line with an x-intercept at (-5,0) and y-intercept at (0,4) is found as [tex]$y=\frac{4}{5} x+4$[/tex].
Step-by-step explanation:
A condition is given that a line has an x- intercept at (-5,0) and y- intercept at (0,4).
It is asked to find a linear equation satisfying the given condition.
To do so, first determine the slope of the line using coordinates of the given intercepts. Then write the equation in the slope-intercept form using the slope and the y- intercept.
Step 1 of 2
Determine the slope of the line.
The points of the intercepts of the line are given as (-5,0) and (0,4). Next, the formula for the slope is given as,[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
Substitute 4&0 for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex]respectively, and 0&-5 for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows,
[tex]$$\begin{aligned}m &=\frac{4-0}{0-(-5)} \\m &=\frac{4}{5}\end{aligned}$$[/tex]
Step 2 of 2
Write the equation in the slope-intercept form.
The slope-intercept form of a line is given as follows,
[tex]$$y=m x+b$$[/tex]
The coordinates at the y- intercept is (0,4). Now, as the y- coordinate is 4 , so b=4.
So, substitute 4 for b and [tex]$\frac{4}{5}$[/tex] for m in the equation y=mx+b, as follows,
[tex]$y=\frac{4}{5} x+4$$[/tex]
This is the required linear equation.
His friends all drive more expensive cars, and Tony is now starting to desire these same expensive products. Which factor is Tony experiencing
Answers
When doing his homework, a student uses the addition property of equality to solve for c below. Which statement BEST applies to the sample? 6 + c = 10 6 + (–6) + c = 10 + (–6) c = 4 A. The student failed to keep both sides of the equation balanced. B. The student’s final answer does not have the variable c isolated. C. The use of the addition property of equality is sound, and the answer is correct. D. The student should have used the subtraction property of equality.
Answers
Answer:
The answer would be C
Solve for y
:
V=−4y+4x
Answers
[tex] - 4y = v - 4x \\ y = \frac{ - v}{4} + x[/tex]
[tex]\\ \rm\dashrightarrow V=-4y+4x[/tex]
[tex]\\ \rm\dashrightarrow -4y=V-4x[/tex]
[tex]\\ \rm\dashrightarrow y=\dfrac{V-4x}{-4}[/tex]
[tex]\\ \rm\dashrightarrow y=x-\dfrac{V}{4}[/tex]
Which of the following represents a function
Answers
Answer:
(2,3),(4,3),(-2,-3),(-4,-3)
Step-by-step explanation:
A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).
This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.
The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.
A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.
In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:
(5,1),(5,2),(5,3),(5,4)
Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.
HELPP!!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction
if needed.
Answers
S: sine
C: cosine
T: tangent
O:opposite
H:hypotenuse
A:adjacent
Sin A means opposite/hypotenuse
=15/17
Hope this helped :)
Answer:
15/17
Step-by-step explanation:
73. Real-World Applications
A city's population in the year 1960 was 287,500 . In 1989 the population was 275,900 . Compute the rate of growth of the population and make a statement about the population rate of change in people per year.
Answers
Answer:
The rate of growth of the population is -400, this means the growth of the population from year 1960 to 1989 has dropped by 400 per city.
Step-by-step explanation:
It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .
It is required to compute the rate of growth of population and make a statement about the population rate of 1989 with the year 1989 and the time taken to change the population.
Step 1 of 1
It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .
To find the rate of growth of population and make a statement about the population rate of change in people per year.
Now let f(x) be the number of population and x be the year and use formula of rate of change to find the change in population,
[tex]$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$[/tex]
Now substitute, 275900 for [tex]$f\left(x_{2}\right)[/tex], 287500 for then,
[tex]$$\begin{aligned}m &=\frac{275900-287500}{1989-1960} \\&=\frac{-11600}{29} \\&=-400\end{aligned}$$[/tex]
The rate of growth of population -400, so there is a drop in the population by 400 per city.
E
What is the solution to the system of equations?
y = 0x + 3
x = −2
O [--]
O
[22]
[2
O
[-2]
Answers
Answer:
-2
Step-by-step explanation:
The solution to the system of equations is (x, y) = (-2, 1).
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The second equation tells us that x = -2.
Substituting this value into the first equation, we get:
y = -2 + 3
Simplifying, we get:
y = 1
Therefore,
The solution to the system of equations is (x, y) = (-2, 1).
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What is the area of the sector
shown in the diagram below?
OA. 11.1 cm²
OB. 2.5 cm²
OC. 39.3 cm²
OD. 50 cm²
Answers
Answer:
OC. 39.3 cm²
Step-by-step explanation:
Area of a circle = πr² (π ≈ 3.14)
45 degrees = 1/8 of a full circle
Area of the full circle : 3.14 × 10² =
3.14 × 100 = 314 cm²
Area of the sector : 314 × 1/8 = 39.25 cm² ≈ 39.3 cm²
For the following exercises, solve each inequality and write the solution in interval notation.
29. | x − 2 | > 10
Answers
Answer:
The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12
Step-by-step explanation:
An absolute value inequality |x-2|>10 is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 2
The given absolute value inequality is $|x-2|>10$.
The inequality can be written as
x-2<10 and x-2>-10
First solve the inequality, x-2<10.
Add 2 on both sides,
x-2<10
x-2+2<10+2
x<12
Step 2 of 2
Solve the inequality x-2>-10.
Add 2 on both sides,
x-2>-10
x-2+2>-10+2
x>-8
The solution of the inequality in interval notation is given by -8<x<12.
16 percent of what number is 17
Answers
Work Shown:
16% of x = 17
0.16x = 17
x = 17/(0.16)
x = 106.25
Consider the function f(x)=1/3(6)x. What is the value of the growth factor of the function?
Answers
Answer:
F = 2
Step-by-step explanation:
Answer:6
Step-by-step explanation:i did the quiz
GUYS CAN SOMEONE PLEASE HELP ASAP?
THANKS SO MUCH ULL GIVE 40POINTS AND BRAINLIEST
Answers
Answer:
1136/295 cm
Step-by-step explanation:
Corresponding lengths of similar figures are proportional.
If we let the radius of the second cylinder be x,
x/6.4 = 7.1/11.8
x = 6.4(7.1/11.8) = 1136/295 cm
20) Find the surface area of the solid shown. 16 dm 17 dm 30 dm
Answers
Answer:
680π dm² = 2136.28 dm²
Step-by-step explanation:
Recall:
lateral area of cone = πrs; where s = slant height = 17 dm
area of circle = πr²
lateral area of cylinder = πdh
Lateral area of cone: (3.14159)(8 dm)(17 dm) = 427.26 dm²
Area of base of cylinder: (3.14159)(8 dm)² = 201.06 dm²
Lateral area of cylinder: (3.14159)(16 dm)(30 dm) = 1507.96 dm²
Total surface area = 427.26 dm² + 201.06 dm² + 1507.96 dm²
Total surface area = 680π dm² = 2136.28 dm²
How far does judy travel in 2 3/4 hours if she travels at the rate of 5 1/2 miles per hour
Answers
Judy travel's 15.125 miles or 15[tex]\frac{1}{8}[/tex] miles in 2 3/4 hours
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:
Speed = 5 1/2 miles per hour Time = 2 3/4 hoursSubstituting it in the relationship we get,
Distance = Speed x Time
Distance = 5 1/2 miles per hour x 2 3/4 hours
Distance = [tex]\frac{11}{2} X \frac{11}{4}[/tex] miles
Distance = [tex]\frac{121}{8}[/tex] miles or 15[tex]\frac{1}{8}[/tex] miles
Thus Judy travel's 15.125 miles or 15[tex]\frac{1}{8}[/tex] miles in 2 3/4 hours
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NOTE: Angles not necessarily drawn to scale.
Answers
Answer:
60
Step-by-step explanation:
I'm assuming that ED is an exactly straight line, that would mean the angle is 180 degrees. So the sum of the angles in between should also equal 180. This gives you the equation
100 + 20 + x = 180
120 + x = 180
60 = x
What is the length of BC?
From the markings on the diagram, we can tell E is the midpoint of BC and
is the midpoint of AC
We can apply the
theorem: ED = One-halfBA.
Substituting in the expressions for the lengths and solving for x, we get x =
.
Now, since BE = x, then BC =
.
Answers
Using the triangle midsegment theorem, x = 5; BC = 10 units.
What is the Triangle Midsegment Theorem?According to the triangle midsegment theorem, ED = 1/2(BA).
Given the following:
ED = x + 2
BA = 4x - 6
x + 2 = 1/2(4x - 6)
2(x + 2) = 4x - 6
2x + 4 = 4x - 6
2x - 4x = -4 - 6
-2x = -10
x = 5
BC = 2(BE)
BC = 2(x)
BC = 2(5)
BC = 10 units
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Answer:
D
Triangle Midsegment
5
10
Step-by-step explanation:
E2020 Geometry B!!:3
A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square. What are the rectangle’s dimensions?
Answers
Answer:
Length equals 16 and Width equals 4
Step-by-step explanation:
First let us create an equation. We can use L and W for length and width.
If the length is 4 times the width, then we end up with: L = 4W
It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."
Since a square has an equal length and width then we end up with:
L - 6 = W + 6
Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6
We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.
This leaves us with 3W = 12
W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.
A space shuttle can orbit the earth at 330 mi above sea level. The average commercial airplane can fly at 5.7 mi above sea level. What is the distance between the two aircraft?
Answers
Answer:
324.3mi
Step-by-step explanation:
Given Space Shuttle height above ground = 330mi
Airplane height above ground = 5.7mi
Difference between two aircrafts = Space Shuttle height - airplane height above ground
= 330 - 5.7
= 324.3mi
Calculate the residuals for the scatter plot (image provided)
Answers
From the given graph, and using the scatter plot function of a graphing calculator, the residuals are;
-0.08693, -0.019376, -0.518, -0.183, -0.083, 0.135, 0.318, and 0.578
Which method can be used to find the residuals?From the diagram, the given points are;
(14, 4), (15, 4), (16.5, 3.5), (18, 4), (18, 3.9), (19.5, 3.85), (20, 4), (26.8, 3.8)
Utilizing a graphing calculator, using the scatter plot function we have the following predicted values;
Best fit line; y = 5.032 - 0.0676•x
Residuals = Actual - Predicted from equation
The residuals are;
y1 = 4 - 4.08693 = -0.08693
y2 = 4 - 4.019376 = -0.019376
y3 = 3.5 - 3.918 = -0.518
y4 = 4 - 3.817 = -0.183
y5 = 3.9 - 3.817 = -0.083
y6 = 3.85 - 3.715 = 0.135
y7 = 4 - 3.682 = 0.318
y8 = 3.8 - 3.222 = 0.578
The residuals are therefore;
The residuals are;
-0.08693, -0.019376, -0.518, -0.183, -0.083, 0.135, 0.318, and 0.578Learn more about finding the residuals of a scatter plot here:
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