a set of two concentric circles is shown above. What is the area of the shaded portion above?
Answers
Answer:
The answer is "[tex]44 \ m^2[/tex]"
Step-by-step explanation:
[tex]R=4.5 \ m \\\\r=2.5\ m\\\\[/tex]
The area between two concentrated circles via an exterior circle radius R and an internal circle
[tex]r =\pi(R^2-r^2)[/tex]
The region, therefore, consists of two concentrated circles with radii of 4.5 m and 2.5 m.
[tex]r=\pi(4.5^2 -2.5^2)\\\\[/tex]
[tex]=\frac{22}{7} (20.25-6.25) \\\\ =\frac{22}{7} (14) \\\\=22 \times 2 \\\\ =44 \ m^2[/tex]
Related Questions
THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically
Answers
Answer:
The maximum pizza quantity would be with the pizza of 18 inch
Step-by-step explanation:
The size of the pizza in inches depicts its diameter.
Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch
In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.
For instance
Area of 18 inch pizza
[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch
Area of 12 inch pizza
[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch
Circumference of 18 inch pizza
[tex]2*3.14*9 = 56.52[/tex]
Circumference of 12 inch pizza
[tex]2*3.14*6 = 37.68[/tex]
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answers
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.
Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.
Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?
Answers
Answer:
[tex]C(h)=120*2^h[/tex]
Step-by-step explanation:
[tex]C(h)=120*2^h[/tex]
Doubling needs a base of 2, and the original number will need to be multiplied by two.
I don't know how to explain so I'm going to just give an example.
After an hour the original number doubles so 120*2
After two hours: 120*2*2
After 3 hours: 120*2*2*2
2*2 can also be written as [tex]2^2[/tex]
and 2*2*2 can be written as [tex]2^3[/tex]
So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.
CAN ANYONE TELL ME HOW TO DO THIS???
Answers
Answer:
108
Step-by-step explanation:
A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.
Help plz !!!!!!!!!!!!!!
Answers
Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.
Answers
Answer:
Proved , since LHS= RHS
Step-by-step explanation:
We need to prove the given expression ,
=> 1 + cos x / 1 + sec x = cos x
Simplifying LHS.=> 1 + cos (x) / 1 + sec (x)
=> 1 + cos (x) / 1 + 1/cos (x)
=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)
=> 1 + cos (x) × cos(x) / { 1 + cos (x) }
1 + cos (x) gets cancelled . So we are finally left out with ,=> cos (x)
= RHS
Hence proved !Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is
Answers
Answer:
Step-by-step explanation:
the geo. mean is the nth root of the product of n numbers
Here there are two numbers; geo. mean is the square root of their product
g = √(16 * 36)
g = 4 * 6
g = 24
Geometric mean is the mean which is the average of a set of a product.
The geometric mean of the given numbers is 24.
What is geometric mean?Geometric mean is the mean which is the average of a set of a product.
It can be given as,
[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]
Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.
Given information-
The numbers given in the problem is 16 and 36.
The Geometric mean for the number 16 and 36 has to find out.
Use the above formula to find the geometric mean for the number 16 and 36. Thus,
[tex]\prod=\sqrt{16\times36}[/tex]
[tex]\prod=\sqrt{576}\\\prod=24[/tex]
Hence the geometric mean of the given numbers is 24.
Learn more about the geometric mean here;
https://brainly.com/question/47038
Write 1012100 with a power of 10 with a single exponent using the appropriate exponent rule. Explain or show your reasoning.
Answers
Answer:
Step-by-step explanation:
Move the period 5 spaces to the left, and then write 1012100 as 1.0121*10^5.
A television can be bought on hire purchase with a deposit of $800 and 20 monthly installments of $275. What is the hire purchase price
Answers
Answer:
the hire purchase price is $6300 .
The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?
Answers
What number do I use for pi
Answers
3.14. so yeahhhhhhhhhhhhhhhhh
the area of a rectangle is x^2 - 13x + 30 find the dimensions and area of the rectangle of the perimeter is 30
Answers
Answer:
The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of 5 in 5 i n and the width of 10 in 10 i n using the perimeter, area and diagonal length formulas.
Step-by-step explanation:
A bag contain 3 white balls, 4 blue balls and 2 red balls. Two balls are to be taken at random from the bag. The first ball is not replaced before the secod one is taken. Find the probability that
a) the first ball taken will be blue
b) both balls taken will be blue
c) both balls taken will be the same colour
Answers
Answer:
a)the first ball taken will be blue
Translate the expression: 3 times the difference between 7 and
g is 90
Answers
Answer:
3(7-g)=90
You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.
What is 5 to the 6 power divided by 3794.3?
Answers
Answer:
4.11801913396
Step-by-step explanation:
Heart me pls
Can you plz help me!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
10 ft
Step-by-step explanation:
This is the Pythagorean theorem. a²+b²=c².
8²=64
6²=36
Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)
Paul worked as a library volunteer for 8 ¼ hours. Harry worked for 3 ½ hours. How much longer did Paul work than Harry?
Answers
Answer:
4 3/4
Step-by-step explanation:
= (8 - 3) + (1/4 - 1/2)
= 5 + 1/4 - (1 x 2 over 2 x 2)
= 5 + 1/4 - 2/4
= 5 and (1/2 over 4)
= 5 + -1/4
= 4 3/4
A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire race?
Answers
Answer:
31.5 minutes
Step-by-step explanation:
21 / 2 = 10.5
10.5 x 3 = 31.5
SOMEONE HELPPPPP PLEASEEEE
Answers
Answer:
Sin(L) = [tex]\frac{5}{14}[/tex]
Step-by-step explanation:
Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (regarding the angle given)
Sin(L) = [tex]\frac{5}{14}[/tex]
Hope this helps!
Answer:
5/7
Step-by-step explanation:
sin=opposite side/hypotenuse
=10/14(simplify it)
=5/7
sele
mation to complete the task.
Nozoml makes $1.25 for each granola bar she sells. Let d represent the amount of money, in dollars, she makes when she sells g granola bars.
Create an equation to represent the relationship between the number of granola bars Nozomi sells and the amount of money she makes.
Move numbers, variables, or symbols to the blanks to create the equation.
8
d
+
1.25
Answers
how is 4(x+3) equal to 12+4x
Answers
Answer:
When distributed, 4(x+3) = 12+4x
help please now!!!!!!!
Answers
Im not sure about the second one sorry
Show by a rough sketch that there are four points which are at a distance of 2cm from the
given line AB and 3cm from the point A.
Answers
Answer:
.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Step-by-step explanation:
Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.
Answers
Answer:
The answer is "0.1040"
Step-by-step explanation:
Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]
[tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]
How do you do this ??????????????????????
Answers
Answer:
b
Step-by-step explanation:
you can take the rectagel and you x the rectagel
PLEASE HELP FAST!!!!!!!!!!
The formula for the circumference of a circle is: C = 2nr.
C is the circumference and r is the radius. Use 3. 14 as an estimate for t.
Which is the approximate circumference of a circle with a radius of 7 m?
A. 21.98 m
B. 28.26 m
C. 43.96 m
D. 153.86 m
Answers
Answer:
43.96
Step-by-step explanation:
You take the radius of 7 and multiply by 2 then multiply by 3.14
What is the median of this data set?
8, 6, 0, 11, 10, 5
Answers
Answer:
Median: 7
Step-by-step explanation:
The median of a set of data is the middlemost number. Order your set into least to greatest order then count inwards. If you have an even set or number then add both middle numbers and divide by 2.
Find x for this problem
11
11
10
Answers
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Find the surface area of the prism 12in 7in 5in
Answers
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
what is the interquartile range of the data shown in the box plot???
HELP
Answers
Answer: 14
Step-by-step explanation:
Take the values at either end of the box (80 and 66) and subtract.