Does anybody know this?Find the area of the shaded region if PA=7 inches and PB=4 inches
Answers
Hi Student!
The first step that we must take before attempting to solve the problem is to gather important information. Looking at the problem we are given two lengths, PA and PB. These two lengths make up the radius of two different circles which we will need to find the area for both of them. The other important information that we must take in is that we are trying to determine the area of the shaded region.
Now that we have our important information concluded, let's move onto solving the problem. We know that we are trying to determine the area of the shaded region which means that we will need to do some subtraction between the total area of the larger circle and the total area of the smaller circle.
Area of a Circle Formula
[tex]A=\pi*r^2[/tex]Plug in the information
[tex]Shaded\ Region = Larger\ Circle - Smaller\ Circle[/tex][tex]Shaded\ Region = (\pi *PA^2)-(\pi*PB^2)[/tex][tex]Shaded\ Region = (\pi *(7\ in)^2)-(\pi*(4\ in)^2)[/tex]Simplify the exponents
[tex]Shaded\ Region = (\pi *49\ in^2)-(\pi*16\ in^2)[/tex]Subtract
[tex]Shaded\ Region = 49\ in^2*\pi-16\ in^2*\pi[/tex][tex]Shaded\ Region = 33\ in^2*\pi[/tex]Therefore, our final answer would be that the shaded region is 33 inches squared times pi which is best described in Option D. We got this after subtracting the area of the smaller circle from the area of the larger circle which provides us with the area of the shaded region.
Related Questions
Increase £15837.77 by 18.5%
Answers
if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 15837.77 & 100\\ x& 118.5 \end{array} \implies \cfrac{15837.77}{x}=\cfrac{100}{118.5} \implies (15837.77)(118.5)=100x \\\\\\ \cfrac{(15837.77)(118.5)}{100}=x\implies 18767.76\approx x[/tex]
The cost of a calculus textbook is $185.67 after a 6.75% sales tax is applied. What was the cost of the textbook before the tax was added?
Answers
Answer:
the cost of the textbook was $173.14 before the tax was added
Step-by-step explanation:
6.75% of $185.67 is 0.0675 x $185.67 = $12.53
$12.53 is 6.75% of $185.67
sine $185.67 is the total AFTER we subtract the amount
$185.67 - $12.53 = $173.14
what is the interquartille range of the given data set
11, 12, 14, 15. 18. 19. 21, 23. 25, 55
A. 25
B. 9
C. 44
Answers
Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. The median is 18.5.
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. The lower quartile is 14.
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. The upper quartile is 23.
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. The interquartile range is 9.
what is the inverse of the function
a
b
c
d
Answers
Find the value of the given equation : 2 (x-1) - 6 =24
Answers
Solution: 2(x-1)-6=24
2x-2-6=24
2x-8=24
2x = 32
X=32 / 2
X= 16
A shop sells apples and oranges in the ratio 5:2.
It sells apples for 30p and oranges for 40p.
If the shop sells 35 pieces of fruit altogether, how much money does the shop receive? Give your answer in
pounds and pence.
Answers
Total money does the shop receive is 0.12 Pound
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
According to the question
A shop sells apples and oranges in the ratio 5:2
Let constant multiple of the ratio as a
Now,
Apples = 5a
Oranges = 2a
Total pieces of fruit sell = 35
i.e
5a + 2a = 35
7a = 35
a = 5
Therefore,
Apples = 5*5 = 25
Oranges = 2*5 = 10
Now ,
Shop sells apples at = 30p
Shop sells oranges at = 40p
Total money the shop receive = 30 * 25 + 40 * 10
= 1150 p
Paisa to Indian rupee : 100p = ₹1
= ₹11.50
Now, Indian rupee to pounds :
1 Indian Rupee equals 0.011 Pound (according to current market value)
₹11.50 is equal to 0.12 Pound
Hence, Total money does the shop receive is 0.12 Pound .
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A true-false test has 4 questions. What is the chance of answering all questions correctly by guessing?
Answers
Answer:
Thus, in total, there are 24=16 ways to answer the four questions. Only one of these 16 sequences is correct. Assuming each of these 16 sequences is equally likely to occur (as would result from random guessing), the probability that all four questions are answered correctly is 1/16.
Which statement about the hyperbola is true? the point (3.6, 0) is the directrix. the point (−3.6, 0) is the center. the point (2, 0) is a focus. the point (−2, 0) is a vertex.
Answers
The statement about the hyperbola is true is D. the point (−2, 0) is a vertex.
What is a hyperbola?It should be noted that a hyperbola simply means an open curve that has two branches and usually symmetric.
In this case, the statement about the hyperbola is true is that the point (−2, 0) is a vertex.
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Which is a factor of both terms of the expression 2d-10
Answers
Answer:
2Step-by-step explanation:
2d = 2 · d
10 = 2 · 5
2d - 10 = 2 · d - 2 · 5 = 2 · (d - 5)
Answer: the answer is 2 YW!!!
Step-by-step explanation:
what is the standard form for this equation
(x+2) (x+15)
Answers
Answer:
x^2 + 17x + 30
Step-by-step explanation:
Just multiply the components from first bracket to components of second bracket, then add like terms and rearrange to write numbers from highest exponents to lowest.
The triangle shown below has an area of 22 units, 4 Find the missing length. = units
Answers
Answer:
Step-by-step explanation:
the area of a triangle is area= 1/2 x base x height. ( half multiply by base multiply by height)
so plug in 22 for area 22=1/2 x 4 x height
22/2=11
11 is the length
hope this helps.
ertyuidfghjkl;'
oiuytrew
Answers
Answer:
jklgyukdj
Step-by-step explanation:
(Geometry)
A circle has a radius of 13.5 cm What is the exact length of an arc formed by a central angle measuring 120 degrees
Answers
[tex]\textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=13.5\\\theta =120\end{cases}\implies \begin{array}{llll}s=\cfrac{(120)\pi (13.5)}{180}\implies s=9\pi \\\\\\s\approx 28.27\end{array}[/tex]
#A crane is lowering a concrete block from a height of 240 feet above the ground at a constant rate of 4.8 feet per second.
Which function can be used to determine h, the height, in feet, above the ground of the concrete block after s seconds?
1 h = 4.8 - 240s
2 h = 240 -4.8s
3 h = 240 + 4.8s
4 h = 240s + 4.8
Answers
Answer:
2
Step-by-step explanation:
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
A) 4/9
B) 1/9
C) 4 1/9
Answers
The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.
What is a quadratic equation?It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The expression is x² + x.
Then the constant should be added to form a perfect square trinomial.
Then the constant will be
The square of the half of the coefficient of the variable x is to be added to make a perfect square.
Then the constant will be 1/4.
Then the perfect square will be
[tex]\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2[/tex]
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Please help I’ve been stuck on this for hours !!!
Answers
Answer C
Step-by-step explanation:
Explain the relationship between a central angle and an inscribed angle in a circle.
Answers
in a figure angle theta is the inscribed angle in the circle is half of the central angle 2theta that subtent the same arc on circle.
a square prism measuring 4 ft along each edge of the base and 6ft tall
Answers
Enter the value of p so that the expression 18n + 54 is equivalent to 2p (n+3)
Answers
Answer:
p = 9
Step-by-step explanation:
The distributive property can be used to factor the given expression.
__
18n +54 = 18(n +3)
Matching this to the desired form, we see ...
18(n +3) = 2p(n +3)
2p = 18
p = 9 . . . . . . . divide by 2
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
Answers
19 , 14
14, 19
18,22
22, 19
13,22
22,13
14, 22
22,14
That is 8 ways
Total number of permutations of 2 cards from 5
= 5P2
= 5!/3!
= 20
So required probability
= 8/20
= 2/5.
The probability that the total of the two numbers is more than 32 = [tex]\frac{2}{5}[/tex]
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
What is the formula of combination?[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
For given question,
We have been given five number cards.
Two of the five cards are picked at random.
Using combination formula the possible number of outcomes would be,
[tex]^5C_2\\\\=\frac{5!}{2!(5-2)!} \\\\=10[/tex]
So, n(S) = 10
Let event A : the total of the two numbers is more than 32
A = {(19, 14), (19, 22), (13, 22), (14, 22)}
So, n(A) = 4
Using the formula for probability,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)} \\\\\Rightarrow P(A)=\frac{4}{10}\\\\\Rightarrow P(A)=\frac{2}{5}[/tex]
Therefore, the probability that the total of the two numbers is more than 32 = [tex]\frac{2}{5}[/tex]
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A cylinder has a volume of 216π cubic feet and a height of 18 feet. what is the area of the base? cylinder v = bh 1. substitute the known measures into the formula: 216π = b(18) 2. apply the division property of equality: 216π 18 = b 18 18 the base has an area of pi feet squared.
Answers
The cylinder is a three-dimensional shape, and the base area of the cylinder is 12π square feet
How to determine the base area?The given parameters are:
Volume = 216π cubic feetHeight = 18 feet.The volume of a cylinder is calculated using:
Volume = Base area * Height
So, we have:
216π = Base area * 18
Divide both sides by 18
Base area = 12π
Hence, the base area of the cylinder is 12π square feet
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Answer:
12
Step-by-step explanation:
Garrett runs a catering service for large
parties. He needs 27 whole tomatoes for
his salad to feed 120 guests. Write a
proportion which illustrates how many
whole tomatoes, w, he would need to feed
400 guests.
Answers
Hello! :D
_________________________________
ANSWER :
90 TomatoesSOLUTION :
You will need x.
So, [tex] \sf{\frac{27}{120} = \frac{x}{400} } \ \\ \\ \ \sf{x = \frac{27 \times 400}{120} =\:} \sf \red{90\:}[/tex]__________________________________
Ambition SuccesPLEASE HELP IM STRUGGLING AND IM FAILING GEOMETRY
Answers
Answer:
2.6 m
Step-by-step explanation:
The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.
Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178
178 = 2(10x) + 2(5 x 10) + 2 (5x)
Simplify!
178 = 20x + 100 + 10x
Subtract 100 from both sides and combine x's
78 = 30x
divide both sides by 30
x = 2.6 m
answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)
This table shows the ticket price for each person to visit a zoo in winter.
adult = £18
child (3-17) = £14
child ( under 3) = free
A family of two adults, one child aged 8 and one child aged 1 visit the zoo in winter.
In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?
Answers
Answer: £9.3 more
Step-by-step explanation:
Price for winter tickets: £18 + £18 + £14 = £50
Summer tickets pricing:
£18 + 20% = £21.6
£14 + 15% = £16.1
Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3
Subtract winter tickets from summer tickets for difference:
£59.3 - £50 = £9.3
what is the value of C
Answers
Answer:
website na para sa di marunong mag math haha cutting study value of c is vintamin C = Glox C
The dot plots show the number of minutes that Julia and Hannah practiced each day for their piano recital. Compare the dot plots. Move the correct names to the blanks to complete each sentence. You may use a name more than once.
Answers
Julia has the greater median
Julia also has the greater mean.
Averagely, Julia practiced for a greater amount of time each day.
What is the Mean and Median of a Data Set?Mean = sum of data points / number of data points.
Median = center/middle of the data distribution.
Mean for Julia = (20 + 20 + 30 + 60 + 60 + 60 + 70 + 70 + 100 + 100 + 100 + 115 + 115 + 115)/14 = 69.6
Mean for Hannah = (20 + 20 + 30 + 30 + 45 + 45 + 45 + 70 + 70 + 70 + 75 + 90 + 90 + 120)/14 = 58.6
Median for Julia = 70
Median for Hannah = (45 + 70)/2 = 57.5
Julia has the greater median and also has the greater mean.
Averagely, we can conclude that Julia practiced for a greater amount of time each day.
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the sum of the squares of two consecutive even integers is 884. determine the integers.
Answers
Answer:
(2x+1)(1) = 84. 2x+1= 84. 2x = 83.
Step-by-step explanation:
5x+3/-2 =4 what is the value of x
Answers
Answer: Hii <3
11/10 is your answer i believe
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hopefully this helps you !
- Matthew ~
Answer:
The value of x = 11/10 or 1.1
Step-by-step explanation:
5x+3/-2 =4
=> 5x -3/2 = 4
=> 5x = 4 + 3/2
=> 5x = (8+3)/2
=> 5x = 11/2
=> x = 11/10 or 1.1
70°
13
४
c=
12.2
x
A
Answers
Answer:
sin70=13/x
[tex] \sin(70) \times x = 13[/tex]
[tex]x = 13 \times \sin(70) [/tex]
[tex] x = 13 \div 0.9397[/tex]
13.8
What graph can be used to solve the equation 2x - 1 = x + 2?
Answers
Answer:
Step-by-step explanation:
