the radius of the small circle is 0.5 millimeters the area of the large circle is 28.26 squared millimeters calculate the area of the state of region
Answers
There is a typo in the question. Where it reads 'state of' should read 'shaded'
Answer:
[tex]A=27.47\ mm^2[/tex]
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, its area can be calculated as follows:
[tex]A=\pi r^2[/tex]
The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.
We already know the area of the large circle:
[tex]A_l=28.26\ mm^2[/tex]
Now we calculate the area of the small circle of radius r=0.5 mm:
[tex]A_s=\pi\cdot 0.5^2[/tex]
Calculating:
[tex]A_s=0.79\ mm^2[/tex]
The area of the shaded region is:
[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]
[tex]\mathbf{A=27.47\ mm^2}[/tex]
Related Questions
{Please Don't Troll What value of x is in the solution set of -3x+8≥14 {Answer Choices -3,-1,0,3}
Answers
Answer:
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3
Step-by-step explanation:
-3x+8 is greater than or equal to 14
-8 -8
-3x is greater than or equal to 6
-3x/-3 6/-3
*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation
Based on the solution set the answer is -3
Hope this helps!
11.6.21 You randomly select one card from 52-card deck Find the probability of selecting the jack of diamonds or the ace of clubs. The probabilitiy is . An integer a fractionSimplify your answer.)
Answers
Answer: 1/26
Step-by-step explanation:
Out of the 52 card deck there is a single Jack of diamonds and a single ace of clubs. Their individual probabilities are therefore both 1/52.
For the probability that you can pick either of those card you have to add up their probabilities;
= 1/52 + 1/52
= 2/52
= 1/26
A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%
Answers
Answer:
C. about 15.4%
Step-by-step explanation:
There are 52 cards in a deck
There are 4 kings and 4 aces
so, 8/52 is the chance of getting either of those two.
8/52 is about 0.1538 or 15.38%
15.38% rounded would be 15.4%
On paper, draw and label point P. Draw and label point Q. Draw a line between the two points using a straight edge. What is the geometric term for the figure in the drawing?
Answers
Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)
Answers
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made
A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L
Answers
Answer:
C
Step-by-step explanation:
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the
cost of the necklace before tax?
Answers
Answer:
8.5
Step-by-step explanation:
A. 9
B. 9 square root of 2
C. 18
D. 18 square root of 2
Answers
Answer:
B
Step-by-step explanation:
We are given a right triangle with angles 45, 90, and 45
With this type of right triangle, the ratio of the sides are 1:1:square root of 2
We are also given that the hypotenuse is 18
This means that the sides are in the ratio of x:x:x(square root of 2)
Since 18 is the hypotenuse, we can form the equation of-
18 = x(square root of 2)
18/(square root of 2)=x
x= 9 square root of 2
since y=x, y= 9 square root of 2
Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of paint are needed for 1 door.?
Answers
Answer:
[tex]1 \dfrac{1}{4} \ liters[/tex]
Step-by-step explanation:
Given that:
Claire uses 2 liters of paint to cover 1 3/5 doors
Then in order for her to paint 1 door, She will need:
2 L = 1 3/5 door
x L = 1 door
[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]
[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]
[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]
[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]
[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]
[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]
Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?
Answers
Answer:
5 letters
Step-by-step explanation:
Let x = the number of letters engraved.
For the first store, the cost can be written as (18.50 + 0.15x).
For the second store, the cost can be written as (18 + 0.25x).
For the cost and value of x to be the same, let them equal eachother and evaluate x:
18.5 + 0.15x = 18 + 0.25
0.1x = 0.5
∴x=5
please help me yall
Answers
PLS ANSWER
An employee's time at work increased from 32 hours per week to 40 hours per week. By what percentage did the
time at work per week increase?
Answers
If you add 25% to 32 your answer will be 40
Answer:
You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write
(40)/(32)=(x)/(100)
And this means that x = 125
So the ratio of the increase of the new time is 125%
But the real increase is 125 - 100 = 25%
ax + bx = 0
Solve equation for x
Answers
Answer:
you cant have two variables
Step-by-step explanation:
(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smallest absolute value. Then find the decimal equivalent. EX|3.1 X 104- 6.5 X 102| =|31000-650|=|30, 350| is this the largest or smallest? Once you find the largest, start again with new digits and find the smallest. _x10^blank - _ x 10^_
Answers
Answer:
8x(10)^9 - 2 x (10)^1
1x(10)^3 - 9 x (10)^2
Step-by-step explanation:
3.1 X (10)^4- 6.5 X (10)^2
= 31000- 650
= 30,350
For greater number
_x10^blank - _ x 10^_
8x(10)^9 - 2 x (10)^1 ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)
= 8,000,000,000 -20
= 7,999,999,980
For smaller number
_x10^blank - _ x 10^_
1x(10)^3 - 9 x (10)^2 ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next smaller for the smallest difference)
= 1000- 900
= 100
We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.
This is collection of data made by comparing objects in standard units. In science, the units are metric.
Answers
Answer:
You didn't even write a question.
need help plzz
20 points
Answers
Answer:
42 cm
Step-by-step explanation:
Area of rectangle (shaded area):
length × breadth
length: 7 cm
breadth: 7 - 2(0.5) = 6 cm
7 × 6 = 42 cm
Answer:
42 cm is the correct answer of this one
Can someone please help me on this please?
Write the following decimals in base ten numerals.
A. 3,000 + 60 + 0.4 +0.002
B. One hundred seventeen and three-thousandths
Answers
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
¯\_(ツ)_/¯
The required solutions,
(A) Association of the given expression gives 3060.402.
(B) Conversion of the word form of number into digit form gives 1700.003.
Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
Here,
A. 3,000 + 60 + 0.4 +0.002
Simplify the above expression by the association of the numbers,
3,000 + 60 + 0.4 +0.002 = 3060.402
B. One hundred seventeen and three-thousandths
Convert words to numbers,
= 1700.003
Thus, the required solutions,
(A) Association of the given expression gives 3060.402.
(B) Conversion of the word form of number into digit form gives 1700.003.
Learn more about decimal values here,
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What are the vertical asymptotes of 10/X-1
Answers
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)
f
(
x
)
=
10
x
2
−
1
Find where the expression
10
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
Since
10
x
2
−
1
→
∞
as
x
→
−
1
from the left and
10
x
2
−
1
→
−
∞
as
x
→
−
1
from the right, then
x
=
−
1
is a vertical asymptote.
x
=
−
1
Since
10
x
2
−
1
→
−
∞
as
x
→
1
from the left and
10
x
2
−
1
→
∞
as
x
→
1
from the right, then
x
=
1
is a vertical asymptote.
x
=
1
List all of the vertical asymptotes:
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
0
m
=
2
Since
n
<
m
, the x-axis,
y
=
0
, is the horizontal asymptote.
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
image of graph
The vertical asymptotes of the given function are x = 1 and x = -1,
We have given the rational function is 10/(x²-1).
We need to find the vertical asymptotes of this function.
Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.
To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.
x²-1=0
x²=1
x=±√1
x=±1
Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.
To learn more about vertical asymptotes visit:
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find the ratio of a:b if it is given that a+2b/11= b/3
please answer thanks!
Answers
Answer:
3(a+2b)=11b
3a+6b=11b
3a=5b
a/b=5/3
a:b=5:3
Answer:
a:b = 5:3
Step-by-step explanation:
I do RSM too, just type in 5:3! Good luck and have a wonderful day.
A chili recipe includes 2 tablespoons of salt and 5 tablespoons of red pepper. Choose ALL statements that are true about this
relationship
A)
There is
tablespoon of salt for each tablespoon of red pepper
B)
There is
IN
tablespoon of red pepper for each tablespoon of salt.
There is tablespoon of salt for each tablespoon of red pepper,
D)
The recipe has a ratio of 5 tablespoons of red pepper to 5 tablespoons of
salt
The recipe has a ratio of 5 tablespoons of red pepper to 2 tablespoons of
salt.
Answers
Answer:
Step-by-step explanation:
D
Jan walks each morning for exercise. She takes a drink of water as she completes every 3/4 of a mile. She walks a total of 4 1/2 miles. How many times does she take a drink?
Answers
Answer:
Jan takes a drink 6 times.
Step-by-step explanation:
The information provided is:
Jan takes a drink of water as she completes every 3/4 of a mile. She walks a total of 9/2 miles.Compute the number of times Jan takes a drink as follows:
[tex]\text{Number of times Jan takes a drink}=\frac{\text{Number of miles walked}}{\text{Interval for a drink}}[/tex]
[tex]=\frac{9/2}{3/4}\\\\=6[/tex]
Thus, Jan takes a drink 6 times.
what the slope of(-4,4) (-9,6)
Answers
Answer:
-2/5
Step-by-step explanation:
1. 4-6 = -2
2. -4- -9 = 5
3. -2/5
Answer:
[tex]-\frac{2}{5}[/tex]
Step-by-step explanation:
slope formula is:
[tex]y2-y1/x2-x1[/tex]
so we plug in the coordinates
[tex](6-4)/(-9--4)[/tex]
which is
[tex]2/-5[/tex]
so the slope is
[tex]-\frac{2}{5}[/tex]
Hope this helps :D Mark Brainliest please!!!
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different
Y intercept
End behavior
Domain
Range
Horizontal asymptote
(More than one answer)
Answers
Answer:
y-intercept,
end behavior,
range,
and horizontal asymptote
Step-by-step explanation:
I just finished the PLATO test and these are the answers
The answers are y-intercept, end behaviour, range and horizontal asymptote.
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 a parent function:
f(x) = eˣ
The transformed function:
g(x) = -f(x) - 4 = -eˣ - 4
g(0) = -5
f(0) = 1
From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.
Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.
Learn more about the function here:
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45/8 =
When you get the answer convert it to fraction form
I need it please
Answers
Answer:
Exact Form:
45/8
Decimal Form:
5.625
Mixed Number Form:
5 5/8
Answer:
5 and 5/8
Step-by-step explanation:
please help i will give brainliest
Answers
NEED HELP ASAP!
In this geometric sequence, what is the common ratio?
104, -52, 26, -13, ...
1/2
2
-1/2
-2
Answers
Answer:
the third one: -1/2
Step-by-step explanation:
if you multiply 104 by -1/2 you get -52, and so on the pattern will continue
Answer:
C. -1/2.
Step-by-step explanation:
Common ratio = -52/104 = 28/-52 = -13/26 = -1/2.
Which expression represents the sum of 31 and 104,
divided by 3?
Answers
Answer:
The answer is 45Step-by-step explanation:
Well all you really need to do is add 31 and 104 which is 135 then divide it by 3 and well you got the answer 45
The expression (31 + 104) / 3 is equal to 45.
The expression that represents the sum of 31 and 104, divided by 3, can be written as (31 + 104) / 3.
To calculate the value, we start by evaluating the sum of 31 and 104, which gives us 135. So, the expression becomes 135 / 3.
Dividing 135 by 3 yields a result of 45.
Therefore, (31 + 104) / 3 is equal to 45.
The expression simplifies the process of finding the sum of the two numbers (31 and 104) by first adding them together and then dividing the sum by 3. This calculation provides a concise representation of the desired arithmetic operation and its solution.
Learn more about expression here
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How do I distribute 9 - (8r +5)
The - part confuses me
Answers
Answer:
you distribute the - not the 9
Step-by-step explanation:
so your problem would be
9-8r-5
( act as if there is a one in front of the negative sign)
hope this helps :)
Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid
Answers
Answer:c
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
225 divided by 25 is 9.
Please answer for me. Will make you brainiest
Answers
Answer:
.
Step-by-step explanation:
I tried to solve this but I don't get it maybe use another app for it bc it looks hard lolz