Need to be sure. The area of a circle is 9409pi square centimeters. Find the length of the radius. Round to the nearest whole number. I wrote the answer down but I'm not sure if I did it right.
Answers
Hi Student!
Looking at the question, lets extract the important values and information that we believe will be important for this problem. First of all, we are given the area of a circle which is 9409π and we are told to find the radius (rounding it to the nearest whole number).
Now that we have gathered our information, we can move onto the part of solving for the unknown using the area of a circle formula. We can do this by just plugging in the information that we have and solving for r which is the radius.
Plug in the values
[tex]A = \pi\ *\ r^2[/tex][tex]9409\pi\ cm^2= \pi\ *\ r^2[/tex]Divide both sides by pi to get r^2 by itself
[tex]\frac{9409\pi\ cm^2}{\pi}= \frac{\pi\ *\ r^2}{\pi}[/tex][tex]9409\ cm^2= \ r^2}[/tex]Square root both sides to get down to just r
[tex]\sqrt{9409\ cm^2}= \sqrt{\ r^2}[/tex][tex]97\ cm= r[/tex]Therefore, our final answer is that the length of the radius is 97 centimeters which we were able to find using the area and the area of a circle formula.
Related Questions
What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
Answers
The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
Meaning of a CircleA circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.
The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.
In conclusion, The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
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What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1
3 x – 1
C.
y = 3x – 1
D.
y = 1
5 x – 1
E.
y = x + 1
Answers
The equation of the line passing through these two points (1, 2) and (3, 8) will be y = 3x – 1. Then the correct option is C.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The points are (1, 2) and (3, 8).
Then the equation of the line passing through these two points (1, 2) and (3, 8) will be
[tex]\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)[/tex]
On simplifying the equation, we have
y - 2 = 3(x – 1)
y - 2 = 3x – 3
y = 3x – 1
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Please help me solve for X
Answers
Answer:
[tex]\boxed{\sf x = 8.67}[/tex]
Step-by-step explanation:
[tex]\sf 6(6 + x) = 4(4 + 18)[/tex]
Use the distributive property to multiply 6 by (6+x).
[tex]\sf 36+6x=4(4+18)[/tex]
Let's add 4 and 18 = 22.
[tex]\sf 36+6x=4 \times 22[/tex]
Multiply 4 and 22 = 88.
[tex]\sf 36+6x=88[/tex]
Subtract 36 from both sides.
[tex]\sf 6x=88 - 36[/tex]
[tex]\sf 6x=52[/tex]
Divide both sides by 6.
[tex]\sf x = 8.67[/tex]
A water tank measures 1.4m by 8cm by 60cm. Find the capacity of the tank in litres
Answers
Answer:
672 litres.
Step-by-step explanation:
Convert the measurements to cm:
14 m = 1400 cm
The capacity = 1400 * 8 * 60
= 672,00 cm^3
There are 1000 cm^3 in 1 litre so the answer is
672 litres.
Please awnser last question if correct we can do thisss
Answers
Answer:
B = (8,2)
C = (8,9)
D = (5,4)
Step-by-step explanation:
Hope this helps!
Answer:
Point B: (-8,2) Point C: (-8,9) Point D: (-5,4)
Step-by-step explanation:
Since you are reflecting over the y-axis, the numbers in the coordinates will be the same but they will all have a negative "x" value instead of both numbers in the coordinate being positive.
Point B: (8,2) --> (-8,2)
Point C: (8,9) --> (-8,9)
Point D: (5,4) --> (-5,4)
Can somebody help me find the area of this composite shape
Answers
Alone, this shape cannot have the area solved in one step. So, you must break it up into multiple pieces.
For this, we can break it up into a rectangle, and a right triangle.
The area formula for a rectangle is [tex]area = l*w[/tex]
The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]
To find the area of the rectangle, multiply 14 * 18 = 252 m^2
To find the length of the triangle, subtract 20 - 14 = 6
To find the height of the triangle, subtract 18 - 11 = 7
So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2
21 + 252 = 273 meters squared
Hope this helps, feel free to ask any questions
- Jeron :)
3. the stem-and-leaf plot shows the cost of lamps at a department store.
(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.
Answers
Answer:
I don't know F but if y'all do let me now.
Step-by-step explanation:
(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.
(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.
(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.
(e) Price and other details may vary based on product size and color.
The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.
The median costThe stem and leaf plot that completes the question is added as an attachment.
The median cost is the leaf element at the middle.
The plot has 18 leaves.
So, the median position is:
Median = (18 + 1)/2 = 9.5th
This means that the median is the mean of the 9th and the 10th items.
So, we have:
Median = (58 + 58)/2
Median = 58
Hence, the median cost is $58
The modal costThis is the element with the highest frequency in the plot.
From the attached plot 65 has the highest frequency of 3
Hence, the modal cost is 65
The difference between the most and least expensive lampsFrom the plot, we have:
Most expensive = 78
Least expensive = 12
The difference (d) is:
d = 78 - 12
d = 66
Hence, the difference between the most and least expensive lamps is 66.
Number of lamps that cost more than $20 but less than $40This means that we check the items in the range 20 to 40 (exclusive)
The elements in this range are:
25, 28, 30, 32 and 34
Hence, 5 lamps that cost more than $20 but less than $40
Ratio of lamps that cost less than $40 to more than $40From the plot, we have:
Less than $40 = 6
More than $40 = 12
The ratio is represented as:
Ratio = 6 : 12
Simplify
Ratio = 1 : 2
Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2
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A number cube has edges of 8 centimeters. What is the surface area of the number cube?
-64 square centimeters
-192 square centimeters
-384 square centimeters
-512 square centimeters
Answers
Answer:
384 square centimeters
Step-by-step explanation:
The surface area formula for a cube is 6L^2
(L=length or in this case edge)
Plug in values and solve the formula.
SA=6L^2
SA=6(8^2)
SA=6(64)
SA=384 square centimeters
the cost of the items in mindy's shopping cart is 67.39 if the sales tax applied to her purchase is 5% what is the total cost of the items in her cart?
Answers
Answer:
$70.76 or 70.7595
Step-by-step explanation:
Here’s the function:
67.39(1+0.05)^1
Hope this helps! ;-)
The Small Business Administration guarantees some loans. The fee for this can range up to 3.75%. On a $1M business loan, how high could the fee be?
Answers
Answer:
$37,500
Step-by-step explanation:
The amount of the fee is the product of the fee rate and the amount to which that rate is applied.
__
3.75% × $1,000,000 = 0.0375 × $1,000,000 = 37.5 × $1000
= $37,500
The fee on a $1M loan could range up to $37,500.
_____
Additional comment
If you're computing this by hand, it can be easier to (a) use scientific notation, or (b) adjust the decimal points as we have shown here. In this case, we multiplied the percentage by 1000 and divided the loan amount by 1000. The product remains the same, but the numbers are easier to deal with.
In scientific notation, this is 3.75E-2 × 1E6 = 3.75E4 = 37.5E3 = 37,500, where the "E" notation would be that used by a calculator or spreadsheet.
Which is the graph of the inequality?
3y−9x≥9
Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.
Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.
Answers
A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.
How to get the graph of the inequality?
Here we have the inequality:
3y - 9x ≥ 9
First, we should isolate y on one side of the inequality.
3y ≥ 9x + 9
y ≥ 3x + 3
Then, the graph will be a solid line of the form:
y = 3x + 3
Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.
Also, notice that for the line:
y = 3x + 3
if x = -1 we have:
y = 3*(-1) + 3 = 0
if x = 0 we have:
y = 3*0 + 3 = 3
Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.
"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."
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Solve the system of equations below using the linear combination method (elimination). Then, check your work.
x-2y=2
x-y=6
Answers
Answer: Solution- (10,4)
Step-by-step explanation:
x-2y=2 x-y=6 x-2(4)=2
-1(x-y=6) x-8=2
-x+y=-6 +8 +8
x=10
x-2y=2
-x+y=-6 10-2(4)=2
-y=-4 10-8=2
-1 -1 2=2
y=4
(100 points)Match each graph on the left with the functions on the right
Answers
Answer:
See below ~
Step-by-step explanation:
Graph 1 : y = -3x + 3
Graph 2 : y = 6x + 6
Graph 3 : y = 6x + 9
Graph 4 : y = -7x + 1
Recall slope intercept form of a line
y=mx+bwhere b is y intercept
Whatever m be b is constant for line .
So we can find the equations through y intercepts
#1
y intercept near 5 but beneath 5The most probable according to our options is 3
So equation is
y=-3x+3#2
Y intercept just over 5 .It must be 6
y=6x+6#3
y intercept around 10
.Most probable according to options is 9
y=6x+9#4
Just above the origin the y intercept is present.
y=-7x+1determine if a function or not
Answers
The provided graph is not a function because it touches the graph more than one point.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have given a graph of a function.
We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.
The given graph is not a function because it touches the graph more than one point.
Thus, the provided graph is not a function because it touches the graph more than one point.
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Х
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
Answers
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
[tex]\large \sf \underline{Answer:}[/tex]
Rectangle has four sides. The total weight of the circle is 20 grams.
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
What is a rectangle?
A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.
As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,
[tex]Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams[/tex]
It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,
[tex]Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle
[/tex]
[tex]Weight \: of \: the \: circle = 20 grams[/tex]
Hence, the total weight of the circle is 20 grams.
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====================================
Hence the weight of the circle is 20 grams.
Answer:
Solution Given:
Weight of rectangle =80grams
we know that
twice the weight of triangle =weight of rectangle
2*weight of triangle =80 grams
weight of the triangle = 80/2=40 grams
again
The weight of the triangle is double the weight of the
circle.
weight of the circle=½*weight of triangle
=½*40=20grams
Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?
Answers
Answer:
-4 and -8
Step-by-step explanation:
(x+4)(x+8) = 0
x+4 = 0 or x +8 = 0
x = -4 or x = -8
what is the range of the function graphed above?
Answers
Answer:
The range of the function is [0 , ∞) ⇒ answer B. Step-by-step explanation: * lets revise the meaning of the domain and the range - The domain is the values of x - The domain is all the values of x which make the function is defined - If there are some values of x make the function undefined, we exclude these values from the domain
Step-by-step explanation:
please mark me brainliestAreas of Southeast Asia were very desirable, especially because of their rich soil and these lands
A. Putrid
B. Grotesque
C. Arable
Answers
Answer:If im correct the answer is C
Step-by-step explanation:
Please help...a counselor wishes to examine the benefits of a parenting class on parenting
skills. he decides to administer a questionnaire to the 10 parents who have
attended the most recent class. how could this study be improved?
select all that apply.
a. administer a questionnaire to parents who have not attended the
class.
b. use a random sample of all patients, who have attended the
class.
c. increase the sample size.
d. give parents some sample responses, prior to administering the
questionnaire.
Answers
explanation
PLSS HELP ASAPP!! ILL GIVE BRAINLIEST!What is the point slope form of the line with slope -3/2 that passes through
the point (1, -3)?
Answers
Answer:
y= -3/2x - 3/2
Step-by-step explanation:
So you know the gradient of the line is -3/2x since that is the gradient.
So the equation so far is y=-3/2x +c
Then, substitute the co-ordinates to find c so:
-3 = -3/2 +c
-3/2 = c
The equation is y = -3/2x -3/2
Solve for r. -4 + 2r-5r = 17 = [?] r =
Answers
Answer:
r = -7
Step-by-step explanation:
-4 + 2r - 5r = 17
=> 2r - 5r = 17 + 4
=> -3r = 21
=> r = 21/(-3)
=> r = -7
Yusof poured some of the lemonade from a jug equally into 16 cups
and had 200 ml of lemonade left. Each cup contained 354 ml of
lemonade. How much lemonade did he make in millilitres?
Answers
Answer:
36
Step-by-step explanation:
You multiply354 and 16 then divide
Find the Surface Area:
A) 144 in^2
B) 102 in^2
C) 17 in^2
D) 180 in^2
E) 68 in^2
Answers
Answer:
D 180 in²
Step-by-step explanation:
step 1
2 (l) (w) + 2 (l) (h) + 2(h) (w)
step 2
2×(6)×(3) + 2×(6)×(8) + 2×(8)×(3)
step 3
2×(18) + 2×(48) + 2×(24)
step4
36 + 96 + 48 = 180 in²
Which sign makes this number sentence true?
|-56| __ |56|
A. >
B. <
C. =
D. x
Answers
Hey there!
Basically your above absolute value is the proportions of real numbers regarding the sign of it. So, a negative absolute value will most likely be a positive. Same thing with positive & positive & also a positive & a negative. It all depends!
So, the correction equation should be:
|-56| = |56|
Answer: =
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
For the the axis of symmetrythe vertex and the yintercept y = x ^ 2 + 16x + 24
Answers
Answer: D (bottom option)
Axis of Symmetry: x = -8
Vertex: (-8, -40)
Y-Intercept: 24
Step-by-step explanation:
Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].
Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).
The axis of symmetry is x = -8, because the axis of symmetry is x = h.
The Axis of Symmetry is -8
Deshawn earned $48 raking leaves last October. He decided to save 3/8 of his money. How much money did Deshawn save?
Answers
Explanation:
Because 3/8 of 48 is 18
3/8= 0.375
48•0.375 = 18
The city library has 763,045 books. What is the value of the digit 6 in this
number?
I tried to do this problem but I have to do something like this
Answers
Answer:
The 6 is in the ten-thousands place
Step-by-step explanation:
6 written as a ten-thousand is 60,000
A bag containing...
Answers
i) 280/8000 x 6/1= 1680/8000 (simplify if needed)
ii) 1638/8000(simplify if needed)
iii) 2730/8000(simplify if needed)
the dimensions of a rectangle can be represented by the expressions (x+7) and (x-3). if the area of the rectangle is 75 square feet, find the value of x.
Answers
Answer:
Step-by-step explanation:
Area of rectangle is b*h
so
a = (x-3)(x+7)
75 = (x-3)(x+7)
75 = x²+4x-21
0 = x²+4x-96
(x+12)(x-8)=0
x = -12, or x = 8
You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What
the balance after 5 years.
Answers
Answer:
$134.89.
Step-by-step explanation:
Monthly interest = 0.06/12 and its for 5*12 months.
Amount after 5 years = 100(1 + 0.06/12)^(5*12)
= 100(1 + 0.06/12)^60
= $134.89
