Answer:
42.43 [tex]cm^{2}[/tex]
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-
[tex]Area\ of\ cirle=\pi r^{2}[/tex]
[tex]= =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571[/tex]
As here length an width both are 11 cm, we can say that this is a square.
[tex]Area\ of\ square=(Side)^{2}[/tex]
= [tex]=11\times11=121\ cm^{2}[/tex]
Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]
Therefore, the area of the shaded region will be 42.43 [tex]cm^{2}[/tex]
1. What is the center and radius of the circle?
(x-4)² + (x-7) ² - 49
Answer:
Center at (4, 7) and radius is √49, or 7
Step-by-step explanation:
Didn't you mean (x-4)² + (y-7) ² = 49?
Comparing (x-4)² + (y-7) ² = 49
to (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k) => (4, 7) and that the radius is √49, or 7.
What’s the answer?
^^^^^^^^^^^^^^
(PLEASE ANSWER NOW)
Hey there!
Solving for equation: y = 9x + 2
Replace (for now) 9x + 2 for y in the equation: y = 3x + 12
y = 3x + 12
↪ 9x + 2 = 3x + 12
ADD by -3 on both of your sides
9x + 2 + (-3x) = 3x + 12 + (-3x)
If you solved that correctly you should get: 6x + 2 = 12
ADD by -2 on both of your sides
6x + 2 + (-2) = 12 + (-2)
Cancel out: 2 + (-2) because it gives you 0
Keep: 12 + (-2) because it helps us solve for our x-interpret
12 + (-2) = 10
NEW EQUATION: 6x = 10
DIVIDE by 6 on your sides
6x/6 = 10/6
Cancel out: 6x/6 because it gives you 1
Keep: 10/6 because it helps us solve for our x-intercept
10/6 = 10÷2/6÷2 = 5/3
Thus our x = 5/3
Solving for y = 9x + 2
Replace x with 5/3 since we found our x
y = 9(5/3) + 2
9(5/3) = 15
15 + 2 = 17
Thus our y = 17
Overall answer: a = 5/3 & y = 17 ✅ (Option D)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
a.
r = 4 + cos(theta)
c.
r = 3 + 2 cos(theta)
b.
r = 2 + 3 cos(theta)
d.
r = 2 + 2 cos(theta)
Please select the best answer from the choices provided
A
B
C
D
Answer:
c. r = 3 + 2 cos(theta)
Step-by-step explanation:
At θ = 180°, the value of r is positive, but just a fraction of the value at θ = 0°. This eliminates choices 'b' and 'd'.
Choice 'a' would give r=3 and r=5 for those two cases, but the ratio of left extent to right extent looks smaller than 3/5. A graph of choice 'c' shows it matches the given figure.
Answer:
c. r = 3 + 2 cos(theta)
Step-by-step explanation:
What is the length of the shortest side of a triangle that has vertices at (4,6), (-2,0), and (-6,3)?
Answer:
5
Step-by-step explanation:
This is a 3, 4, 5 triangle
Answer: 5
If you graphed these three points on a graph you can see that the points (-2,0) and (-6,3) have the smallest length. First we want to find the slope of these points. We can use the formula y2 - y1 / x2 - x1. 3 - 0 / -6 - -2. 3-0 is 3 and -6 - -2 is -4. Two negatives make a postive. So the slope is 3/-4. We can't have a negative slope so change the -4 to a postive 4. Now square the slope 3/4 to get 9 and 16. We know the pythagoren therom formula is a^2 + b^2 = c^2. So square 3 and 4 to get 9 and 16 then add them to get 25. Square 25 and you get the answer 5.
What does a machine change to make work easier? Select three options.
the amount of work done
the amount of force applied
the time needed to do the work
the direction of a force
the distance over which a force is applied
Answer: the amount of force applied
The direction of a force
The distance over which a force is applied
The machine will work easier when force, the direction of the force and the displacement increased. Options B, D, and E are correct.
What is Work?It is defined as the transfer of energy from one object to the other.
The work is equal to the product applied Force and the displacement.
The formula of the work is,
W = Fs
Where
W = work
F = force
s = Displacement
Therefore, the machine will work easier when force, the direction of the force and the displacement increased.
Learn more about work here:
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what is the hourly difference in median income for a male versus female with an advanced degree?
The hourly difference in median income between males and females with an advanced degree is approximately $9.62/hr.
To determine the hourly difference in median income between males and females with an advanced degree, we need to know the median income for each gender and the number of hours worked. If you can provide the median income values for both males and females with an advanced degree, I can calculate the difference for you.
For illustration, let's assume the following median income values:
- Median income for males with an advanced degree: M dollars per year
- Median income for females with an advanced degree: F dollars per year
- Average hours worked per week: H hours
- Number of weeks worked per year: W weeks (usually 52)
Here's how to calculate the hourly difference:
1. Convert annual median incomes to hourly incomes:
[tex]\text{Hourly income for males} = \frac{M}{H \times W} \\\\\text{Hourly income for females} = \frac{F}{H \times W}[/tex]
2. Calculate the difference in hourly incomes:
[tex]\text{Hourly difference} = \text{Hourly income for males} - \text{Hourly income for females}[/tex]
Let's plug in hypothetical numbers for illustration:
- Median income for males: M = 100,000 dollars per year
- Median income for females: F = 80,000 dollars per year
- Average hours worked per week: H = 40 hours
- Number of weeks worked per year: W = 52
Calculate the hourly incomes:
[tex]\text{Hourly income for males} = \frac{100,000}{40 \times 52} = \frac{100,000}{2080} \approx 48.08 \text{ dollars/hour} \\\\\text{Hourly income for females} = \frac{80,000}{40 \times 52} = \frac{80,000}{2080} \approx 38.46 \text{ dollars/hour}[/tex]
Calculate the hourly difference:
[tex]\text{Hourly difference} = 48.08 - 38.46 = 9.62 \text{ dollars/hour}[/tex]
So, the hourly difference in median income between males and females with an advanced degree is approximately $9.62/hr. To provide an exact answer, please supply the specific median income values for males and females with an advanced degree.
The complete question is:
What is the hourly difference in median income for a male versus female with an advanced degree?
$_____/hr
If sally got 28 questions correct and received 70% on the exam, how many questions were on the exam
Answer: 40
Step-by-step explanation:
Number of correct questions Sally got = 28 questions
Percentage of correct questions answered= 70% on the exam,
Total number of questions in the exam = Unknown
Let the total questions in the exam be represented as y.
Since Sally got 70% correctly, this will be:
70% of y = 28
70/100 × y = 28
0.7 × y = 28
0.7y = 28
Divide both side by 0.7
0.7y/0.7 = 28/0.7
y = 40
There are 40 questions in the exam.
In the figure below, BD and EC are diameters of circle P. What is the arc measure of AE in degrees?
Pls helppp
Answer:
27°
Step-by-step explanation:
Since BD is a diameter then arc BD = 180°
∠ APE = 180° - (90 + 63)° = 180° - 153° = 27°
The measure of the arc AE is equal to the angle at the centre subtended by it.
arc AE = ∠ APE = 27°
I will give U 15 pt Please help the last 2 answers are
The height of the brush after t seconds
The time it takes for the brush to hit the ground
We have the height h(t) as
h(t) = -16t² + 1024
16t² is how far we've fallen as a function of time; since we started 1024 feet up the height is 1024-16t².
Answer: the distance the brush falls in t seconds, first choice
PlEASE HELP PRONTO WIL GIVE BRANLIEST!!!
Kevin drew a picture of a house and then built a model. The x-axis shows the size of different segments in the drawing, and the y-axis shows the size of the same segments in the model.
Write an equation showing the relationship between x and y.
A) y = 2x
B) y = x + 2
C) y = x + 3
D) y = 1/2x
Answer:
(A) y = 2x
Step-by-step explanation:
hope this helps
a and b are positive integers and a−b = 2. Evaluate the following:
4^(1/2a) / 2^b
Answer:
4
Step-by-step explanation:
4^(1/2a)/2^b
[tex]\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4[/tex]
Abe creates a scatter plot showing students' ages on the x-axis and their heights on the y-axis. Which type (1 point)
of trend will the scatter plot show?
М.
a linear trend
a positive trend
a negative trend
no trend
The trend will be positive because as the students get older their heights tend to get taller.
Answer:
B
Step-by-step explanation:
As students grow older, they will naturally grow taller because their bodies are developing and maturing. This means that as the values on the x axis increase, the values on the y axis will also increase.
The result of these type of correlation is that there will be a line increasing to the right. This is known as a positive trend.
Hope this helps!
Simplify (-2x^4y^2)^3
Final answer:
The expression (-2x⁴y²)³ simplifies to -8x¹²y⁶, by individually raising the coefficient and each variable to the third power.
Explanation:
To simplify the expression (-2x⁴y²)³, you must raise both the numerical coefficient and the variables to the third power. Remember that raising a power to a power multiplies exponents and raising a negative number to an odd power results in a negative number.
First, raise -2 to the third power: (-2)³ = -8Then raise x⁴ to the third power: (x⁴)³ = x¹²Lastly, raise y² to the third power: (y²)³ = y⁶Putting it all together, the expression simplifies to -8x¹²y⁶.
Subtract:
88 – (–35)
Question options:
A)
–53
B)
–123
C)
53
D)
123
Answer:
it's answer is D 123
Step-by-step explanation:
Here
88 - ( -35)
When it comes our of bracket - *- = +
So
88 + 35
= 123
Hope it will help you :)
Answer:
D ) 123
Step-by-step explanation:
88 – (–35) =
= 88 + 35
= 123
a) Convert 30 inches to centimetres.
centimetres
Answer:
76.2
Step-by-step explanation:
You can use a table like the one I have attached! :)
Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
A circle graph titled Pets. 32 percent is dogs, 26 percent is cats, question mark is fish, 13 percent is lizards, 18 percent is no pet.
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish.
What percent of her classmates own fish?
Answer:
11% own fish
Step-by-step explanation:
What is the measure of arc RS?
Answer:
60°, D
Step-by-step explanation:
(140-x)/2=40
140-x=40×2=80
x=140-80=60°
A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
56 cm
65 cm
74 cm
Answer:
74cm
Step-by-step explanation:
(28×2)+(9×2)
Brainliest would be appreciated
Answer:
74cm
Step-by-step explanation:
To work this out you would add all the lengths of the sides together.
1) Multiply 28 by 2.
[tex]28*2=56[/tex]
2)Multiply 9 by 2.
[tex]9*2=18[/tex]
3) Add 18 to 56.
[tex]18+56=74[/tex]
most of the values are blank the mean ?
The mode is the value that appears most often in a data set. It is a measure of central tendency and is especially useful for describing categorical data or discrete sets. The correct answer is B. mode.
The mode, denoted as B in the options, is the value that occurs most frequently in a given data set. It is a statistical measure used to describe the central tendency of a dataset.
Unlike the mean, which calculates the average, and the median, which identifies the middle value, the mode focuses on the most recurring value. This is particularly helpful in analyzing categorical or discrete data. A dataset may have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.
Therefore, the mode is a valuable tool for understanding the distribution and characteristics of a dataset. (option B)
The complete question is:
The ____ is the value that appears most often in a data set.
A. mean
B. mode
C. median
D. range
|
Find the amplitude and period of f(t)= 1/2sin3t
Answer:
Step-by-step explanation:
hello :
note : y = A sin(Bt + C) + D
• amplitude is A
• period is 2π/B
in this exercice : f(t)= 1/2sin3t
amplitude is A =1/2
period is 2π/3
Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. Choose True or False for each statement.
Answer:
because i cant see the true or false parts i can help by giving some basic answers
Step-by-step explanation:
the new length is 9 in. (4 x 2.25=9, change the percent to a decimal)because it is a square the area of the original is 16 in.^2 and the new area is 91 in.^2you change the percent to a decimalif there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.
Final answer:
Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.
Explanation:
When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.
Therefore, the statements should be evaluated as follows:
Amy's printed picture is larger than the original picture. - TrueThe length of the side of Amy's printed picture is 2 ¹/₄ inches. - False, since the correct side length is 9 inches.Amy's printed picture is 22.5 times the size of her original picture. - False, the size in terms of area scales with the square of the scale factor.Amy's printed picture is 2 ¹/₄ times the size of her original picture. - True, if considering the scale factor of the sides, but in terms of area, it would actually be (2.25)² times the original size.need help ASAP I don't understand this....will mark brainliest
Answer:
C
Step-by-step explanation:
All parabolas (U shaped graphs) have domains of All Real Numbers
Answer:They y axis runs up and down so on the verticle lind where is says -2 plotthe point.
Step-by-step explanation:
What is the slope of the line shown?
a. slope = 2
b. slope= 1/2
c. slope = -1
d. slope= 1
Answer:
the answer is b, 1/2.
Step-by-step explanation:
1-0 divided by 4-2 is 1/2
*********PLEASE I NEED HELP ********
IN 1,2,3
You have $13 and earn $0.50 for each cup of orange juice you sell .write an equation that represents the total amount A (in dollars )you have after selling j cups of orange juice
Answer:
13 plus .50 times J =A
Step-by-step explanation:
i dont really know how to explain this but here we go...
you already have $13 and if you get .50 for every cup you sell (J) then thats it really...
A = 13+ 0.50j is the equation which represents the total amount A you have after selling j cups of orange juice.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that you have $13 and earn $0.50 for each cup of orange juice you sell .
We have to find an equation which represents the total amount A (in dollars )you have after selling j cups of orange juice
A = 13+ 0.50j
13 is the initial amount and 0.50 is the slope of the given equation.
Hence, A = 13+ 0.50j is the equation which represents the total amount A you have after selling j cups of orange juice.
To learn more on Equation:
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Find the equation of the line.
Use exact numbers.
y=___x+_____
If g^2+1/g^2=51, find the positive value of g-1/g
Answer:
7
Step-by-step explanation:
Note that
(g - [tex]\frac{1}{g}[/tex] )² = g² - 2 + [tex]\frac{1}{g^2}[/tex] = 51 - 2 = 49
Take the square root of both sides
g - [tex]\frac{1}{g}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← the positive value
Mary is creating valentine’s Day card for her friends and can choose from white,red,or pink construction paper to create a heart.On the heart she can use a black blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.Wh is the probability that her valentine to her friend will be on either red or pink construction paper with. black market and gold glitter?
Answer:
(1/9)
Step-by-step explanation:
Mary can choose from white,red,or pink construction paper to create a heart.
And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.
The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.
The probability that she uses red or pink construction paper = (2/3)
(since red or pink are two out of the total 3 sample spaces available for construction paper)
Probability that she uses black marker = (1/3)
(Black is one of the 3 sample spaces for markers)
Probability that she uses gold glitter = (1/2)
(Gold glitter is one of two sample spaces for glitters)
The required probability is then
(2/3) × (1/3) × (1/2) = (1/9)
Hope this Helps!!!
find the sum of−2 5/10 and−5 4/15. then, in two or more complete sentences, explain the steps you used to add the mixed numbers.
Answer:
- 7 23/30
Step-by-step explanation:
-2 5/10 + -5 4/15
First simplify the fractions if possible
-2 1/2 + -5 4/15
Then, we need to get a common denominator
The common denominator in this case is 30
-2 1/2*15/15 + - 5 4/15*2/2
-2 15/30 + -5 8/30
Since the signs are alike we add
First the whole numbers
2+5 =7
Then the fractions
15/30+8/30 = 23/30
Add the fraction and the whole number together
7 23/30
Take the sign
- 7 23/30
If the fraction was improper, we would change it to a mixed number and add the whole numbers together
Final answer:
To find the sum of −2 5/10 and −5 4/15, convert them to improper fractions, find a common denominator, add them with the negative signs, and simplify if needed, resulting in −7 23/30.
Explanation:
To find the sum of −2 5/10 and −5 4/15, we first convert the mixed numbers into improper fractions. The first step is to add the whole numbers together, and then add the fractions separately.
Since both numbers are negative, when we add them, the answer will also have a negative sign, following the rule that when two negative numbers add, the answer has a negative sign. We find the common denominator for the fractions, which in this case is 30, and convert them accordingly. After adding the converted fractions, we simplify the result if possible.
To illustrate, for the whole numbers: −2 + (−5) = −7. For the fractions: −(5/10 × 3/3) + −(4/15 × 2/2) = −(15/30) + −(8/30) = −(23/30). Thus, the sum is −(7) − (23/30) or −7 23/30.
A contractor has $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each. What is the greatest number of hammers the contractor can buy with the money he has remaining?
Answer:
4 hammers
Step-by-step explanation:
step 1
Find out the greatest number of doors that the contractor could buy
Divide the total amount by the cost of each door
so
[tex]\$3,285/\$75=43.8[/tex]
That means ----> The greatest number of doors that the contractor could buy are 43
step 2
Find the remaining money
The remaining money is equal to
[tex]3,285-43(75)=\$60[/tex]
step 3
Find the greatest number of hammers that the contractor can buy with the remaining money
Divide the remaining money by the cost of each hammer
[tex]\$60/\$15=4\ hammers[/tex]