In the rectangle below, the two quarter circles are congruent. Find the area of the shaded of the shaded region.
Answers
length = 12
width = 6
area of rectangle = length times width = 12 x 6 = 72
area of circle = pi r^2 = 3.14 (6)^2 = 113.1
1/2 circle = 113.1 / 2 = 56.55
the area of the shaded of the shaded region = 72 - 56.55 = 15.45
answer
15.45
Related Questions
I need help with this.
Answers
(the green numbers on the image are the step numbers)
We can solve this using PEMDAS.
I wrote out how I solved it in the image, and here I will go more into detail:
Step 1
Write out the equation
Step 2
Put in the variables
Step 3
Solve:
Parentheses - Multiply
Step 4
Parentheses - Subtract
Step 5
Multiply
Step 6
Add
There's your answer! :)
The answer is 42
Hope this helps! :)
8(3) + 6[2(5)-7]
You have to multiply the numbers in the parenthesis with the adiacent one.
24 + 6(10-7)
24+6(3)
24+18
42
How many tenths are equal to 4/5 mile using a diagram
Answers
One tenth equals to 0.1
0.8 = 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1
We need ten lots of 0.1 to make 0.8
Translate the sentence into an inequality.
Three subtracted from b is less than or equal to −17.
Answers
"is less than or equal to" = ≤
"-17" = -17
Putting it all together...
b-3≤-17
The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.
what is the equation that represents the ellipse?????????
Answers
[tex] \frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} =1[/tex]
where
(h,k) = coordinates of the center
a, b = semi-major and semi-minor axes
Refer to the figure shown below.
The center of the ellipse is at (0,0).
Therefore, h=0, k=0.
One focus is at (12, 0)
Therefore
c = 12
One directrix is at 14 1/12 = 169/12.
Because the directrix is located at x = a²/c, therefore
a²/12 = 169/12
a² = 169/144
a = 13
Because c² = a² - b², obtain
b² = a² - c²
= 169 - 144 = 25
b = 5
Answer:
The equation for the ellipse is
[tex] \frac{x^{2}}{169} + \frac{y^{2}}{25} =1[/tex]
The equation that represents the ellipse with the given coordinates of the center, one focus, and one directrix is x^2/144 + y^2/(25/12) = 1.
Explanation:The equation that represents the ellipse with the center at (0, 0), one focus at (12, 0), and one directrix at x = 14 1/12 can be found using the standard form of the equation for an ellipse:
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
where (h, k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.
Since the center is at (0, 0), the equation becomes:
x^2/a^2 + y^2/b^2 = 1
The distance from the center to one focus is 12, so the value of a is 12. To find the value of b, we need to use the distance from the focus to the directrix. Since the directrix is x = 14 1/12, the distance from the focus to the directrix is |14 1/12 - 12|. Simplifying, we get |14 1/12 - 12| = 2 1/12. Therefore, the value of b is 2 1/12.
Substituting these values into the equation, we get:
x^2/144 + y^2/(25/12) = 1
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An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
ANSWERS
square root of fifteen divided by eight
eight divided by the square root of fifteen
seven divided by the square root of fifteen
square root of fifteen divided by seven
Answers
Let CB=7 units, AC=8 units, so by the Pythagorean theorem:
[tex]AB= \sqrt{ AC^{2} - BC^{2} }= \sqrt{ 8^{2} - 7^{2} }= \sqrt{64-49} = \sqrt{15} [/tex] (units)
so we have drawn a triangle where sin∅=7/8
in this triangle, cot∅=(adjacent side)/(opposite side)=[tex] \frac{ \sqrt{15} }{7} [/tex]
Answer: square root of fifteen divided by seven
Which of these is the algebraic expression for "3 times the sum of 2 and y?"
3(2 + y)
3 ⋅ 2 + y
2 + 3 ⋅ y
2(3 + y)
best answer gets BRAINIEST!!!!
Answers
filler so i can post
What is the place value of 8 in 0.829
Answers
100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?A. Between 2.9 and 31.7 hours
B. Between 28.8 and 31.7 hours
C. Between 31.7 and 34.6 hours
D. Between 28.8 and 34.6 hours
Answers
31.7 -2.9 = 28.8
31.7 + 2.9 = 34.6
between 28.8 & 34.6 hours
D is the correct answer
What is the prime factorization of 162?
Answers
Start by dividing by the smallest prime number.
162/2 = 81
81/3 = 27
27/3 = 9
9/3 = 3
2 * 3 * 3 * 3 * 3 = 2 * 3^4
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees celcius. After 1 hour, the temperature is t^2 degrees celcius. If the temperature after 1 hour is 81 degrees celcius, what are two possible original temperatures? What is the difference between the possible original temperatures?
Answers
The two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees Celcius.
After 1 hour, the temperature is t² degrees Celcius. If the temperature after 1 hour is 81 degrees Celcius.
From the question:
t² = 81
Taking square root on both sides:
t = ±√81
t = ±9
t = 9 degrees Celcius
Or
t = -9 degrees Celcius
The difference between the temperature = (9) - (-9) = 18 degrees Celcius
Thus, the two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
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if a customer ordered 5 items and the order had a total of 17 wheels,how many wagons were ordered?
Answers
a person or company that allows others to borrow money is called
Answers
Answer:
ummm its called a lender since that person is "lending" you something
Step-by-step explanation:
A person or company that allows others to borrow money is called a "lender".
What is a Lender?A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.
Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.
The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.
Thus, a person or company that allows others to borrow money is called a "lender".
To learn more about the Lender link is given below.
https://brainly.com/question/26106234
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What is an expression that is equal to 12m+12n
Answers
HELP??
A scatter plot is shown below
Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?
(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 0)
(0, 9.5) and (10, 1.5)
Answers
Answer: The correct answer is D!
Step-by-step explanation:
Simplify (5ab^4c)(-abc^2)
Answers
This is the answer that u seek
-5a^2b^5c^3
help me please. I don't know how to do this. so can you take me step by step if possible.
Answers
Video DVDs (ignoring the hole in the middle) have an area of 36π cm^2 The formula to calculate the circumference, C, for a circle is c=2√Aπ, where A is the area of the circle. What is the circumference of the disc?
12πcrr
18πcrr
24πcrr
30πcrr
Answers
Final answer:
The circumference of a DVD with an area of 36π cm^2 is 12π cm.
Explanation:
The question asks for the circumference of a DVD with an area of 36π cm2. The circumference C of a circle is related to its area A by the formula C = 2√(Aπ). In this case, we need to substitute the given area of the disc into the formula to calculate the circumference.
First, we'll start by plugging in the area into the formula:
C = 2 √(36π π)
C = 2 √(36)√(π)√(π)
C = 2 × 6 × π
C = 12π
Therefore, the circumference of the disc is 12π cm.
If f(x)= -x²+3x+5, find f(-3), f(0), f(2), f(5), and f(8).
Answers
-(-3)^2+3(-3)+5
-9-9+5
-18+5
-13 <======
f(0)
-(0)^2+3(0)+5
-0+0+5
5 <=======
f(2)
-(2)^2+3(2)+5
-4+6+5
7 <=======
f(5)
-(5)^2+3(5)+5
-25+15+5
-5 <======
f(8)
-(8)^2+3(8)+5
-64+24+5
-35 <======
In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted?
Answers
January to November == 11 months.
11 flats are painted every year.
100 flats / 11 flats per year = 9 years + 1 month
the next time it will be painted is September 2019.
Answer:
The answer is September 2019.
Step-by-step explanation:
In order to determine the date of the painting flat, we have to know how the painter works.
Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.
Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.
So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).
Now we add more painted flats every year:
3+11+11+11+11+11+11+11+11=91
At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.
Finally "my flat" will be painted in September 2019.
Please Help!! Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
Answers
Work:
120% = 1.2
15*1.2 = 18
Therefore, 15 hours * 1.2 = 18 hours
I hope this helps!
Which equation represents an exponential function with an initial value of 500
Answers
So, the hint for you to find is the term 500 right before the term with an exponent. For example, the function would be: y = 500(1.8)^x.
60,000 is ten times as much as
Answers
x=6000
Which of the following is not a Pythagorean triple? A. 28,45,53 B. 16,63,65 C. 13,84,85 D. 11,61,62
Answers
A)28^2 + 45^2 = 53^2
784 + 2025 = 28092809 = 2809
B)16^2 + 63^2 = 65^2265 + 3969 = 42254225 = 4225
C)13^2 + 84^2 = 85^2169 + 7056 = 72257225 = 7225
D) (Your Answer!!!)11^2 + 61^2 = 62^2121 + 3721 = 38443842 does not equal 3842
I hope that helped!
PLEASE ANSWER ALL PARTS I WILL GIVE BRAINLIEST
Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different
SET A: 13.542 AND 35.42
SET B: 781 AND 78.1
SET C: 1.2 AND 01.20
Answers
13.542 is 10 more than 10% of 35.42
781 = 78.1 * 10
781 is equal to 10 times 78.1
1.2 has two significant figure but 01.20 has 3 significant figure
What is the ANWSER to the question ? Thank you
Answers
starting salary + (annual increase) x (number of years)
Company A: [tex]24000+3000n[/tex]
Company B: [tex]30000+2400n[/tex]
You want to know when those two expressions will be equal.
[tex]2400+3000n=30000+2400n \\ 24000+600n=30000 \\ 600n=6000 \\ n=10[/tex]
The salaries from Company A and Company B will be equal after 10 years.
use the numbers 2,3,5, and 8 to write an expression that has a value of -1
Answers
Plz answer with showing work. #19
Answers
Median for 8th Graders: 7.5
7.5-5=2.5
Please help to solve... Need steps
Answers
x =0.25y
substitute x = 0.25y into x + y = 360
x + y = 360
0.25y + y = 360
1.25y = 360
y = 288
x = 288 (0.25) = 72
Jose has 72 stamps
Maria has 288 stamps
288 - 72 = 216
answer
Maria has 216 more stamps than Jose
Carlos can print a document on apricot printer which the speed is 8 in 4.5 minutes how long would it take him to print the same document on a sure-fire printer which the speed is 12
Answers
The surefire printer has a speed of 12.
The surefire is faster than the apricot printer, so it wll take less time to print a document.
The apricot printer takes 4.5 minutes.
Therefore by proportion, the surefire printer takes
(8/12)*4.5 = 3 minutes.
Answer: 3 minutes
Find the area of the parallelogram shown.
35 yd 2
24 yd 2
26 yd 2
40 yd 2
Answers
area = base x height
base = 5
and height = 7
so area = 7*5 =35 square yards