Answers
Answer:
Remember that the area of a square of sidelength L is:
A = L^2
And the area of a circle of diameter D is:
A = pi*(D/2)^2
If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:
Notice that the diameter of the circle will be equal to the diagonal of the square.
And the diagonal of a square of side length L is:
d = √(2)*L
knowing that the side length of our square is 6 inches, the diameter of the circle will be:
D = √2*6in
Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.
The area of the circle is:
A = pi*(√2*6in/2)^2 = (pi/2)*36in^2
The area of the square is:
A' = (6in)^2 = 36in^2
The difference is:
A - A' = (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2
And there are 4 of these segments, then the area of every single one is one-fourth of that:
a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2
The area of each segment is:
a = (pi/2 - 1)*9 in^2
if we replace pi by 3.14, the exact area will be:
a = (3.14/2 - 1)*9in^2 = 5.13 in^2
Related Questions
Hey can anyone help with this question?
Answers
Answer:
Step-by-step explanation:
When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2
Divide 360 between Kunal and Mohit in the ratio of 7:8
Answers
Answer:
K = 168 M = 192
Step-by-step explanation:
7:8 = 15
?:? = 360
Divide
360 / 15 = 24
Multiply
24 × 7 = 168
24 × 8 = 192
168:192 = 360
So, Kunal gets $168 and Mohit gets $192.
Step-by-step explanation:
Let the common ratio = x
Kunal = 7x
Mohit = 8x
Total value = 360
we know,
7x + 8x = 360
15x = 360
x = 360÷15
x = 24
so,
Kunal = 7x = 7×24=168
Mohit = 8x = 8×24=192
HELP ASAP
THANK YOU!!!
Answers
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
PLS HELP ASAP PLS PLSPLS
What is the explicit formula for this sequence?
6, 2, -2, -6, ...
Answers
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).
A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ
I need answers urgently.
pls
Answers
Which is the graph of y = log4(x+3)?
Answers
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
whats the geometric means of 4 and 1/4
Answers
The gometric means G1, G2, G3, 1/4
THIS IS TIMED! Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
“Use the equation 2p-7=25 to find the weight of your uncles backpack”
Answers
Answer:
the equation is 2p-7=25 // p = 16
Answer:
Your uncle's backpack weighs 16 pounds.
Step-by-step explanation:
1.) Add 7 to each side
2p=32
2.) Divide each side by 2
p = 16
3.) That is your answer.
pls I'll mark u BRAINLIEST
(B−A)∪C=(B∪C)−(A−C)
Answers
Answer:
(I don't have the complement sign of sets, so I've used "©" to denote compliment)
L.H.S.
(B-A)∪C
= (B∩A©)∪C
= (B∪C)∩(A©∪C)
= (B∪C)∩(A-C)©
= (B∪C)-(A-C) = R.H.S.
(Proved)
Slope of (5a, b) and (2a, 2b)
Answers
Answer:
8a+4b
Step-by-step explanation:
) If a 480 pupils in a school are boys representing 80% of the school's enrolment . Find the total number of pupils in the school
Answers
Answer:
Total student= 600
Step-by-step explanation:
Let x be the number of students
[tex]x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600[/tex]
Brainliest please~
Answer:600
Step-by-step explanation:
by taking total number of pupils x
80/100×x=480
48000/80=600
x=600
Problem 2 Find the mBC.
Answers
Answer:
38º
Step-by-step explanation:
<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.
So mBC = 38º
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answers
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
Solve the triangle. Round your answers to the nearest tenth.
HELP PLEASE !!!!
A. m
B.m
C.m
D.m
Answers
Answer:
Angle A = 42°
Side b (Opposite side of angle B) = 13
Side c (Opposite side of angle C) = 29
Answered by GAUTHMATH
Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?
Help! Homework due at 6:30 help ASAP! Thank you!
Answers
25%
Step-by-step explanation:
# of non-fiction books ÷ # of total books = percentage of non-fiction books
4 non-fiction books + 12 fiction books = 16 total books
4 non-fiction books divided by 16 total books = percentage of non-fiction books
4÷16= 0.25
0.25 x 100 = 25%
Answer: 0.48 percent
Step-by-step explanation:
If the lines 5x + 3my – 2 = 0 and 3x + 7y + 1 = 0 are parallel, then what is the value of m?
(a)9/35
(b)35/9
(c)9/5
(d)5/9
Please give full explanation!!!
ASAP!!
Answers
Answer:
35/9
Step-by-step explanation:
7y=-3x-1
y=-3/7x-1/7
m=-3/7
Now,
3my=-5x+2
y=-5/3mx+2/3
So
-3/7=-5/3m
-9m=-35
m=35/9
Answer:
35/9
Step-by-step explanation:
What we need to know:
Parallel lines have the same slope
slope intercept form: y = mx + b
m = slope
The first thing we will want to do is put both equations in slope intercept form.
We must do this so we can identify the slope.
First equation:
3x + 7y + 1 = 0
Solve for y
Subtract 1 from both sides
3x + 7y + 1 - 1 = 0 - 1.
3x + 7y = -1
Subtract 3x from both sides
3x - 3x + 7y = -1 - 3x
7y = -3x - 1
Divide both sides by 7
7y/7 = (-3x - 1)/7
y = -3/7x - 1/7
So the equation of the first line is y = -3/7x - 1/7
Second equation:
5x + 3my – 2 = 0
Solve for y
Subtract 5x from both sides
5x - 5x + 3my - 2 = 0 - 5x
3my - 2 = -5x
Add 2 to both sides
3my - 2 + 2 = -5x + 2
3my = -5x + 2
Divide both sides by 3m
3my/3m = (-5x + 2)/3m
y = -5x/3m + 2/3m
So the equation of the second line is y = -5x/3m + 2/3m
So we have the two equations:
y = -3/7x - 1/7 and y = -5x/3m + 2/3m and we want to find the value of m if the two lines are parallel
Lines that are parallel have similar slopes
So the slope of the first equation should be the same as the slope of the second equation
The slope of y = -3/7x - 1/7 is -3/7 as it takes the spot of "m" in y = mx + b.
The slope of y = -5x/3m + 2/3m is -5/3m as it takes the spot of "m"
If the slopes of parallel lines must be similar than -3/7 = -5/3m
(Note that we've just created an equation that we can use to solve for m)
We now solve for m
-3/7 = -5/3m
Cross multiply
3*-3m = -9m
7*-5=-35
we acquire -35 = -9m
Divide both sides by -9
-35/-9 = 35/9
-9m/-9=
We're left with m = 35/9
So we can conclude that the value of m would be 35/9 if the two lines are parallel
100 PNTS AND BRAINLIST FOR CORRECT ANWSER WITH A GOOD EXPLAINATION!!
You pay $10 to play the following game of chance. There is a bag containing 20 balls: five are red, five are green, and the rest are yellow. You are to draw one ball from the bag. You will win $18 if you draw a red ball, and you will win $10 if you draw a green ball. You win nothing for drawing a yellow ball. What is the expected value? Should you play?
Answers
Answer:
Expected value is -3
You should not play
Step-by-step explanation:
five are red, five are green, 10 yellow
P(red) = red/total = 5/20 = 1/4
P(green) = green/total = 5/20 = 1/4
P(yellow) = yellow/total =10/20 = 1/2
Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play
=18/4 + 10/4 - 10
=28/4 -10
=7-10
= -3
You should not play
How do you solve this problem?
Answers
Explanation:
The square has perimeter P = 16, so each side of the square is P/4 = 16/4 = 4 cm.
This makes side KJ = 4 cm, and this is the diameter of the circle. Multiply the diameter with pi to get the circumference (aka the perimeter of the circle).
Therefore, the perimeter is pi*d = pi*4 = 4pi which points us to choice B
Attempt 1 of
For the following system, use the second equation to make a substitution for y in the first equation.
3x + y = 1
y+4= 5x
What is the resulting equation?
3x + 5x + 4 = 1
3x + 4 - 5x=1
3x + 5x - 4 = 1
NEXT QUESTION
TURN ITIN
ASK FOR HELP
https://cabarruscsd.owschools.com/owsoo/student Assignment/index?eh-795134676
ka
O
Answers
Answer:
3x + 5x - 4 = 1
Step-by-step explanation:
rewrite equations (i'm using the substitution method)
3x + y = 1
y = 5x − 4
plug in the second equation into the first
3x + (5x − 4) = 1
A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X
Answers
Answer:
A reflection of the point across the line y = -x
Step-by-step explanation:
General rule for reflection across line y = -x is
(a,b) -------> (-b , -a)
When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is
the distance, in metres, and t is time, in seconds.
a) After 5 seconds, how far does an object fall, in metres?
b) How many seconds does it take to fall 490 m?
Answers
Answer:
a) 122.5 m ; b) 10 s
Step-by-step explanation:
Just use the given equation and plug in what you know.
a)
d = 4.9t^2
d = 4.9(5^2)
d = 4.9 * 25
d = 122.5 m
b)
d = 4.9t^2
490 = 4.9t^2
100 = t^2
t = 10 s
Answer:
a) 122.5 meters
b) 10 seconds
Step-by-step explanation:
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answers
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
8tbsp. 2tsp.
x 15
_________
Answers
How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
Answers
Answer:
43,200 minutes in 1months or 30 days
There are 43200 minutes in one month.
What is multiplication?The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.
Given that, How many minutes are in a 30-day month,
We have, 60 minutes in 1 hour
And, 24 hours in 1 day,
Then, number of minutes in 1 day = 60 × 24 = 1440 minutes
Therefore, in 1 month = 1440 × 30 = 43200 minutes
Hence, there are 43200 minutes in one month.
Learn more about multiplication, click;
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If the city bus through Austin travels at 40 miles per hour, how many miles
will it travel in 4.5 hours.
Answers
4.5 • 40= 180
Given m
11
n, find the value of x.
N
820
20
Answer: =
Submit Answer
CAN SOMEONE PLS HELP I keep getting it wrong
Answers
Answer:
x = 98
Step-by-step explanation:
x and 82 are adjacent angles on a straight line and sum to 180° , then
x + 82 = 180 ( subtract 82 from both sides )
x = 98
SOMEONE HELP ME PLEASE
Answers
Answer:
1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%
Step-by-step explanation:
I am not sure. Is this right?
Answers
Answer:
14.4
Step-by-step explanation:
since the longest side is 24,find the shortest side
√20^2-12^2
√400-144
√256
=16
which means the other shortest side is 24-16
which is 8
then you have to use the 12 and 8 to find the unknown side
√12^2+8^2
144+64
√208
14.4
I hope this helps
The path a character takes to navigate a level of a video game is given in the following graph.
What is the domain?
A. –4 ≤ x ≤ 8
B. –4 ≤ x ≤ 8, x ≠ 0, 4
C. –10 ≤ x ≤ 10
D. –10 ≤ x ≤ 10, x ≠ –4, 6
Answers
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.
According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:
–10 ≤ x ≤ 10
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
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