Answers
The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it. Looking at the problem statement, it asks for us to determine the area of the figure. In return, we are given the radius of the circle along with the number to use for pi.
Now that we have gathered all of the important information, we can move onto the actual calculations of the problem. Let us use the area of a circle formula to be able to capture the work.
Plug in the values
[tex]A_{circle}=radius^2*\pi[/tex][tex]A_{circle}=(14\ cm)^2*\frac{22}{7}[/tex]Now that we have the expression ready we have several steps that need to be completed in order to have our area ready. Let us start by expanding the exponent.
Expand the exponent
[tex]A_{circle}=(14)^2*(cm)^2*\frac{22}{7}[/tex][tex]A_{circle}=196*cm^2*\frac{22}{7}[/tex][tex]A_{circle}=196\ cm^2*\frac{22}{7}[/tex]Multiply
[tex]A_{circle}=\frac{196\ cm^2\ *\ 22}{7}[/tex][tex]A_{circle}=\frac{4312\ cm^2}{7}[/tex]Simplify the expression
[tex]A_{circle}=\frac{4312\ cm^2/7}{7/7}[/tex][tex]A_{circle}=\frac{616\ cm^2}{1}[/tex][tex]A_{circle}=616\ cm^2[/tex]Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle: πr²
Given:
π = ²²⁄₇r (radius) = 14 cmSubstitute the given values into the formula:
[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]
Therefore, the area of the circle is 616 cm².
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Related Questions
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Answers
Step-by-step explanation:
I think angle A = 21 degree
because in the question there is angle A Is twice means angle a + angle a= 4G degree
2 angle a=42 degree
42 divides by 2
answer is 21 degree
Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = =x
h(x) = ÷x
Answers
Answer:
h(x) = 1/4 x
Step-by-step explanation:
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
help me please i still struggle
Answers
Answer:
59 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angles in a triangle add up to 280 degrees
180 minus 149 is 31
31 add 90 is 121
180 minus 121 is 59
Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =
Answers
The value of z if x = 36 and y = 6 is 42
Direct and inverse variationSuppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
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Answer:
Keep it simple. Answer:
y=kx/z
k=7
z=42
Step-by-step explanation:
Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft
Answers
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.
A.) The value of n can be found by equating XY and XZ together,
XY = XZ
9n + 12 = 15n - 6
12 + 6 = 15n - 9n
18 = 6n
n = 3
Hence, the value of n is 3.
The length of different legs of the triangle is,
B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39
C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39
Hence, the length of the legs XY and YZ is equal to 39 units.
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Answer:
Step-by-step explanation:
3
39
39
This table displays the market share in percent of four companies.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?
A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40
Answers
The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40.
How do you set the vertical axis of a Bar Chart?In setting the vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.
That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.
Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40 as it range from 0 to the highest value.
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Answer:
A
Step-by-step explanation:
i think i can be wrong
hi can someone help me
Answers
B mode is 0 because there is no numbers that is shown more the. Twice the median is 138.5
Team b had to make dinner
There you go :]
Step-by-step explanation:
mean value is always the sum of all data divided by the number of data points.
we can see just by looking at the numbers that team B is way below team A.
mean team A : 1529/8 = 191.125
mean team B : 1141/8 = 142.625
so, clearly, team B had to make dinner.
the median is the value of all the data points, where half of the others are smaller, and the other half are bigger.
in case of an even number of data points (like here with 8), we find the 2 middle values and calculate the mean value of these 2 :
median team A : (180+189)/2 = 184.5
median team B : (143+134)/2 = 138.5
the mode is the number in the set of data that occurred must often. if they are all unique, then they ALL are the mode. it is NOT 0 or empty. it is then really all the data points.
mode team A : 212
mode team B : 99, 102, 105, 134, 143, 145, 202, 211
How to find the surface area of a hexagon?
Answers
Answer:
adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
Step-by-step explanation:
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answers
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
24 is 12% of what number?
Answers
Answer:
200
Step-by-step explanation:
(24 x 100) / 12
Answer = 200
To solve this problem you multiply 24 by 100 and then divide the total by 12 as follows: (24 x 100) / 12
Given (x – 1)2 = 50, select the values of x.
Answers
Answer:
[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]
Step-by-step explanation:
[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]
rearrange the equation so b is the independent variable
a - 7 = 3(b+2)
a = ?
Answers
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answers
Answer:
46.272 or 46 34
125
Explains :
Let see :
Based on the given conditions, formulate: 16×14.46÷5
Calculate the product or quotient:231.36
5
Convert decimal to fraction:23136
100
5
Divide a fraction by multiplying its reciprocal:23136 × 1
100 5
Write as a single fraction:23136
100×5
Cross out the common factor:5784
25×5
Calculate the product or quotient:5784
5784 125
get the result: 46.272 or 46 34
125
Answer: 46.272 or 46 34
125
6)( b)write down the ratio of white chocolates to milk chocolates 3/8
Answers
Answer:
white chocolates = 3
milk chocolates = 8
ratio= 3:8
[tex] \frac{3}{8} [/tex]
0.375
What is the area of the base of the prism?
1 square centimeters
what is the volume of the prism?
cubic centimeters
Answers
The base area of the prism is 36 square centimeters and the volume of the prism is 288 cubic centimeters
How to determine the base area?The base area is calculated as:
Base area =Length * Width
From the complete question (see attachment), we have:
Length = 12
Width = 3
So, we have:
Base area = 12 * 3
Base area = 36
How to determine the volume?The volume is calculated as:
Volume = Base area * Height
So, we have:
Volume = 36 * 8
Evaluate
Volume = 288
Hence, the volume of the prism is 288 cubic centimeters
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Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answers
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answers
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
Nevaeh models the volume of a popcorn box as a right rectangular prism. Its dimensions are 5 in by 3 in by 7 1/4 in. How many cubic inches of popcorn would it hold when it’s a quarter full? Round your answer to the nearest tenth if necessary.
Answers
The cuboid can hold 27.2 cubic inches of popcorn
What is a right rectangular prism?A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.
Analysis:
Volume of cuboid = length x width x height
= 5 x 3 x 29/4 = 108.75 cubic inches
When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches
In conclusion, the volume of the cuboid is 27.2 cubic inches.
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Write the expression 5x(x + 9) − 7(x + 9) in complete factored form.
A.
(x + 9)(x + 9)
B.
(5x − 7)(x + 9)
C.
(5x − 7)(x + 9)(x + 9)
D.
(5x2 + 45x)(-7x − 63)
Answers
This method of factoring is grouping. You could take (x+9) out of both the 5x and the -7, and the next step is putting the 5x -7 in its own set of parentheses.
1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?
Answers
Answer:
yes there is a correlation
Step-by-step explanation:
here's how I found this by looking up all key words.
algebra 2 pls help lol
Answers
Answer:
right -2down 2reflected in the y-axiscompressed by a factor of 1/2Step-by-step explanation:
The order of the transformations affects the values used for translation. Here, the translation is described before the reflection and compression.
__
reflectionThe grayed-out graph of the square root function opens to the right. The darker graph of the transformed function opens to the left, so the reflection is across the y-axis.
__
compressionThe square root function goes through the point (1, 1), that is, 1 unit right of the vertex, and 1 unit up. The transformed function goes through the point (1, -1/2), that is, 1 unit left of the vertex and 1/2 unit up. The vertical height of 1 unit on the original graph is compressed to a height of 1/2 unit on the transformed graph. Vertical compression is by a factor of 1/2.
__
translationThe description of the transformation gives the translation before the reflection and compression. So, to find where the uncompressed and unreflected vertex is, we need to reverse those transformations.
Expanding the transformed square root graph by a factor of 2 will undo its compression by a factor of 1/2. That will move the vertex from (2, -1) to (2, 2×(-1)) = (2, -2).
Reflecting this expanded function back across the y-axis will undo the original reflection. That moves the vertex from (2, -2) to (-2, -2). This is where the original translation left the function's vertex before the reflection and compression moved it to the location shown.
The translation is right -2 and down 2.
_____
Additional comment
It is possible that you will get pushback on these answers. If so, you should have your teacher demonstrate the transformations in the order described.
__
In the order described, we have ...
[tex]f(x)=\sqrt{x}\\\\f_1(x)=\sqrt{x-(-2)}=\sqrt{x+2}\qquad\text{translation right -2}\\\\f_2(x)=\sqrt{x+2}-2\qquad\text{translation down 2}\\\\f_3(x)=\sqrt{-x+2}-2\qquad\text{reflection in the y-axis}\\\\g(x)=\dfrac{1}{2}(\sqrt{-x+2}-2)\qquad\text{compression vertically by $\dfrac{1}{2}$}[/tex]
The attached graph shows the result of this sequence of transformations.
__
If the reflection and compression were done before the translation, then the translation would be 2 right and 1 down.
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.
Answers
Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the flight distance is partitioned in a ratio of 3:1, hence:
L - Nv = 3/4(Ny - Nv).
This ratio is applied for both coordinates, hence, for the x-coordinate:
[tex]x + 4 = \frac{3}/{4}(5 + 4)[/tex]
[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]
[tex]x = \frac{11}{4}[/tex]
x = 2.75.
For the y-coordinate:
[tex]y = \frac{3}/{4}(2 - 0)[/tex]
[tex]y = \frac{6}{4}[/tex]
x = 1.5.
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guys help just with part b for number 2!
Answers
Answer:
22 8th graders
Step-by-step explanation:
if 25% of the 88 kids are 8th graders then do this.
88x.25=22
88x.75=66
there are 22 eighth graders
and 66 seventh graders.
(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answers
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
please help me! will give the brainliest answer!
Answers
1, -1/3, 1/3, 1}
4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C
Answers
hope this helps :))
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
Answers
Answer:
it’s b
Step-by-step explanation:
the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.
Hope it helps
Sry if I’m wrong
can you solve the question but tell me how to do it I'm trying to study but don't know how to solve it?
Answers
Answer:
8x+19=9x+9
Step-by-step explanation:
Simplifying
(8x + 19) = (9x + 9)
Reorder the terms:
(19 + 8x) = (9x + 9)
Remove parenthesis around (19 + 8x)
19 + 8x = (9x + 9)
Reorder the terms:
19 + 8x = (9 + 9x)
Remove parenthesis around (9 + 9x)
19 + 8x = 9 + 9x
Solving
19 + 8x = 9 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
19 + 8x + -9x = 9 + 9x + -9x
Combine like terms: 8x + -9x = -1x
19 + -1x = 9 + 9x + -9x
Combine like terms: 9x + -9x = 0
19 + -1x = 9 + 0
19 + -1x = 9
Add '-19' to each side of the equation.
19 + -19 + -1x = 9 + -19
Combine like terms: 19 + -19 = 0
0 + -1x = 9 + -19
-1x = 9 + -19
Combine like terms: 9 + -19 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10
Answer:
x = 10Step-by-step explanation:
they are opposite angles, therefore congruentwe solve with an equation8x + 19 = 9x +9
19 - 9 = 9x - 8x
10 = 1x
x = 10
check
-------------------
8 * 10 + 19 = 9 * 10 + 9
80 + 19 = 90 + 9
99 = 99
the answer is good
HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Answers
Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
How to calculate the area of a regular polygon?Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
Where:
n is the number of sides.s is the side length.a is the apothem.Note: The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
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Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....
Answers
The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
How to determine the recursive sequence?The sequence is given as:
50,−10,2,....
The above sequence is a geometric sequence, and it has the following parameters:
First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5This means that the product of the current term and -1/5 gives the next term.
i.e.
[tex]a_n = -\frac{a_{n-1} }{5}[/tex]
Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
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