Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of the shaded portion of circle A?
30.0 cm²
38.25 cm²
56.5 cm²
254.5 cm²
Answers
Answer:
38.25 cm²
Step-by-step explanation:
We use the formula for the length of an arc to find the central angle of the sector of the circle.
Then we use the formula for the area of a sector of a circle to find the area.
Length of arc of circle of radius r:
[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]
s = arc length
n = measure of the central angle of the sector
[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]
[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]
[tex] n = 54.1^\circ [/tex]
Area of sector of circle of radius r:
[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]
A = area of sector of circle
n = measure of the central angle of the sector
[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]
[tex] A= 38.25~cm^2 [/tex]
Related Questions
50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10
Answers
Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.
Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)
Answers
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.
How to analyze a radioactive decay caseLet suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.
We know that decay behaves exponentially and follows this model:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in gramsThe time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:
τ ≈ 11.541 min
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
t ≈ 40.698 min
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]
To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663
1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!
Answers
Answer:
4 7/8
Step-by-step explanation:
First we need to gte the denominators the same!
So we multiply the 1/4 by 2
1/4 x 2 = 2/8
Now we subtract the 2/8 from 5 1/8 to get our answer :)
5 1/8 - 2/8 = 4 7/8
Your final answer will be 4 7/8 :)
Have a great day!
Please rate and mark brainliest!
Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss
Answers
Answer:
224
Step-by-step explanation:
To work out the area of any prism:
Area of cross sectional area x width
In this case, work out the area of the rectangle and multiply by 7
8 x 4 = 32
32 x 7 = 224
Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%
Answers
Answer:
the answer; 32÷36×100 will give the answer (d) -88.9%
can you please help with this please.
Answers
Answer: The following is listed below.
Step-by-step explanation: The following pairs are below:
3 quarters (.75￠): 7 dimes and 1 nickel.9 dimes (.90￠): 3 quarters and 3 nickels.17 nickels (.85￠): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30￠): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60￠): 2 quarters and 1 dime.13 nickels (.65￠): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!
Remember, 0.25￠is a quarter, 0.10￠is a dime, 0.05￠is a nickel, and 0.01￠is a penny.
Have a great day! :)
17. Find the volume of the prism.
Answers
Answer:
6.4 in^3 would be the correct answer
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.
Answers
How can the product of 0.8 and 2 be determined by using a number line?
Number line from 0 to 2 with tick marks at every tenth.
Enter your answers in the boxes.
Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.
Answers
2m - 3 - 5= -m + 10 please help me
Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 3m = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 18 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 6[/tex]
Hence, value of m is 6
How many times greater is the value of 4 in 547 than the value of the 4 and 84
Answers
Answer:
10
Step-by-step explanation:
How many times greater is the value of 4 in 547 than the value of the 4 and 84?
547: 500 + 40 + 7
5 is in the hundreds place
4 is in the tens place
7 is in the ones place
84: 80 + 4
8 is in the tens place
4 is in the ones place
The value of 4 in 547 is 10 times greater than the value of 4 in 84.
Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.
Also, 4 * 10 = 40
Hope this helps!
- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know
Answers
Explanation= it is either that or some whole number with half’s you didn’t give a picture or real detail so it is hard to know what grade level you would be at because it could be something totally different it it was in a certain lesson anyways I hope this helped!
Find The Square Root Of
[tex] \frac{144}{169 } [/tex]
Answers
[tex]===============================[/tex]
Let's find the square root of
[tex]\bold{\displaystyle\frac{144}{169}}[/tex]
So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?
Take the square root of both the numerator (144) and the denominator (169)
[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]
The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)
[tex]\bold{\displaystyle\frac{12}{13}}[/tex]
This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].
[tex]==================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)Answered by:
[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]
Brainliest available
Find "X"
Answers
I think you meant solve [tex](4^2)x(2^9)[/tex]
Answer:
8192
Step-by-step explanation:
Given:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
Solution:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
[tex]=4^2x \:2^9[/tex]
[tex]4^2=16[/tex]
[tex]=16x \:2^9[/tex]
[tex]2^9=512[/tex]
[tex]=16x\:512[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]
[tex]=8192[/tex]
~lenvy~
Answer:
=> 8192
Step-by-step explanation:
Given :
(4²)x(2⁹)
=> (16)x(512)
=> 16.512
=> 8192
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)
Answers
Answer:
2835 flowers
Step-by-step explanation:
We need the circumference of the garden, with it's 150' radius. Circumference, C, is given by: C = 2[tex]\pi[/tex]r. I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.
C = 2*(3.15)*150'
C = 945'
4 inches = 1/3 foot.
Every 1/3 of a foot of the circumference will have a flower. We can make this a conversion factor: 3 flowers/foot
Flowers = (945')*( 3 flowers/foot) = 2835 flowers
Draw a picture to answer.
what is 1/4 of 12?
Answers
Answer:
3
Step-by-step explanation:
1/4 x12= 12/4
12/4=3
-4 + 3y = 29
5x + y = -3
solve by substitution
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
y=11
x= -2.8
Step-by-step explanation:
y= -5x-3
-4+3 (-5x-3)=29
-4-15x-9=29
-4-9-29=15x
-42=15x
x= -2.8
y= -1 (5×-2.8)-3
=14-3
y=11
samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?
Answers
Total interest:-
8% of deposit8% of 8500.08(850)Rs683. What is the slope of a line that passes
through (0,-5) and (8,27)?
Answers
Answer:
4.
Step-by-step explanation:
Slope = difference in y coordinates / difference in the corresponding x coordinates
(27 - (-5)) / (8 - 0)
= 32 / 8
= 4.
Answer: Well, The entered points belong to an increasing, linear function.
Equation: y = 2.75x + 5.
You're key in this will be y=mx+b right?
Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-
2.75.
So you're slope is y= 2.75x
I'm not that great at explaining but yeah, i tried lolz :3
If QR=x+29 and PS=x–16, what is the value of x?
Answers
Answer:
61
Step-by-step explanation:
By the triangle midsegment theorem, 2(SP)=RQ.
So, 2(x-16)=x+29, meaning x=61.
can you please answer this, please show work
Answers
Answer:
6:8
Step-by-step explanation:
There are 6 squares and there are 8 triangles, just count them.
Answer:
3 : 4
Step-by-step explanation:
squares : triangles = 6 : 8 ( divide both parts by 2 )
= 3 : 4 ← in simplest form
how can you take 20% off of a normal price
Answers
try to understand the example.
I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%
hope it helps...!!!
Use the distributive property to write an expression equivalent to each of the following x(-2+3)
Answers
Hey there!
x(-2x + 3)
= 1x(-2x + 3)
DISTRIBUTE 1x WITHIN the PARENTHESES
= 1x(-2x) + 1x(3)
= -2x(1x) + 3(1x)
= -2x^2 + 3x
Therefore, your answer is: -2x^2 + 3x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please Help! Which of the following methods is not used to prove triangles are congruent?
Answers
Answer:
AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.
Step-by-step explanation:
What is the surface area of right rectangular prism with dimensions of
4 centimeters by 4 centimeters by 6 centimeters?
6 cm
4 cm
4cm
Help asap!
Answers
Answer:
S.A of a rectangular prism is 2lh+2lw+2hw
2(4x6)+2(4×4)+2(6×4)
2(24)+2(16)+2(24)
48+32+48= 128cm²
Write a decimal that is greater than 3.3 and less than 3.73
Answers
Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7
Explain:
It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.
What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.
I hope that was helpful
Kim works at an airport on the runway. She is standing and watching an airplane take off from the runway as shown below.
When the airplane is 1,100 feet above the ground, the distance to the airplane from where Kim is standing is 3,850 feet. What is the approximate angle of elevation to the airplane?
Answers
Your younger brother is getting stickers from a vending machine at the local supermarket. A proportion of stickers have the
phrase "Girls Rule!" If there are eight stickers with this message in a sample of 36 stickers, what is the 95% confidence interval
for this proportion? (1 point)
0 (0.0864, 0.3580)
0 (0.0862, 0.3578)
0 (0.0847, 0.3553)
0 (0.0812, 0.3256)
Answers
Answer:
p^=368=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222),0.2222+1.96360.2222(1−0.2222))==(0.0864,0.3580).
=(0.0864,0.3580).
Step-by-step explanation:
flvs?
The 95% confidence interval for the given proportion is (0.864, 0.3580).
What is a confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.
Given total samples = E = 36
number of outcomes = 8
probability = p = 8/36 = 0.2222
value of z for 95% confidence interval = 1.96
intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])
taking positive sign
= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580
taking negative sign
= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.0864
Hence, the intervals are (0.864, 0.3580), and option A is a suitable answer.
Learn more about confidence intervals;
https://brainly.com/question/24131141
#SPJ2
1/3 (3x)(2x-5)(2x-5)=125
Answers
Answer:
the answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
A square on the board is chosen at random. Find the probability as a fraction in simplest form
Answers
The probability of selecting a square is the likelihood of the square
The probability that the square selected is a multiples of 3 not less than 10 is 3/20
How to determine the probability?The given parameters are:
Squares = 20
Multiples of 3 not less than 10 = 3
Stripped balloons = 17
The probability that the square selected is a multiples of 3 not less than 10 is calculated as:
P = n(Multiples of 3 not less than 10)/Total
This gives
P = 3/20
Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20
Read more about probability at:
https://brainly.com/question/251701