Answers
Answer:
Step-by-step explanation:
First, calculate the angle of FDE (assume it as α) by:
[tex]EF=\frac{\alpha}{360}\times(2\pi)(DE) \rightarrow 2\pi = \frac{\alpha}{360}(2\pi)(6)[/tex]
[tex]\alpha=60^{0}[/tex]
So, use this angle to calculate the area of FDE (unshaded region):
[tex]A_{US}=\frac{\alpha}{360}\times(\pi)(DE)^{2}=\frac{60}{360}(\pi)(6^{2})=6\pi[/tex]
So, the shaded region can be determined by:
[tex]A_{S}=A-A_{US}=\pi(DE)^{2}-6\pi=36\pi-6\pi=30\pi=\frac{60}{2}\pi[/tex]
Related Questions
Seventh grade
A triangular prism is 40 inches long and has a triangular face with a base of 42 inches and a
height of 28 inches. The other two sides of the triangle are each 35 inches. What is the
surface area of the triangular prism?
Answers
Step-by-step explanation:
area of 2 triangles + 3 rectangles
2 (0.5×42×28)
=2×588
=1176 inches square
2(35x40)=2800
42×40= + 1680
--------
=4480 inches square
1176+4480
=5656 square units
write the following numbers in words (1) 396 624 (2) 5 200 090 (3) 4 606 220
Answers
Answer:
1. three hundred ninety six thousand twenty four
2. five million two hundred thousand ninety
3. four million six hundred six thousand two hundred twenty
An exponential function has a growth factor or 3.76. What is the percentage growth rate?
Answers
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
How to determine the percentage growth rate?The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
Read more about exponential functions at:
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I am so confused... I need help
Answers
Cause there is two bases, top and bottom, and then the two sides
enter the value for x
Answers
4,5,6,6,7,7,8,8,8,8,8,9,9
What is the standard deviation and variance for these students' quiz scores?
Answers
Variance = 2.13
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Answers
Answer:
27/200
Step-by-step explanation:
Knowing that:
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Solve:
and = multiply
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total = 20 token
Thus,
There are 9 red and 6 green..
Hence,
9 out of 20 is red
6 out of 20 is green
Equation
9/20 × 6/20
Multiply Across:
9 × 6 = 54
20 × 20 = 400
54/400
Simplify
27/200
Therefore, the probability that a randomly selected token is red and green is 27/200.
~Lenvy~
The probability that a randomly selected token is red and green is 27/200 in fraction form and 0.135 in decimal form.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that a bag of tokens contains 9 red, 6 green, and 5 blue tokens.
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total token = 20
P(E₁) is 9 out of 20 are red.
P(E₂) is 6 out of 20 are green.
⇒ P(E₁) = 9/20
⇒ P(E₂) = 6/20
Required probability P(E) = P(E₁)×P(E₂)
Required probability P(E) = 9/20 × 6/20
Required probability P(E) = 54/400
Required probability P(E) = 27/200 = 0.135
Therefore, the probability that a randomly selected token is red and green is 27/200.
Learn more about probability here:
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#SPJ2
fractions equivalent to 14/32
Answers
Answer:
7/16, 21/48, 28/64
Step-by-step explanation:
Hope this helps
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
Answers
120 in sq. , 260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.
complete each statement based on the image below
Answers
Step-by-step explanation:
1) Angles opposite congruent sides in a triangle are congruent, so angle H is congruent to angle D.
2) For the same reason as the first problem, angle D is congruent to angle NSD.
3) Since sides opposite congruent angles in a triangle are congruent, segment AH is congruent to segment AS.
4) For the same reason as the third question, segment SA is congruent to segment SN.
I NEED HELP WITH MY HOMEWORK
Answers
Answer:
I-9I
Step-by-step explanation:
Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9
Answer:
C. |-9|
Step-by-step explanation:
|-9| = 9
9 > 7 > |5| (5) > -12
Mrs. Bradford, a tailor, received 25 meters of fabric as a gift. She used 3 meters of fabric to make herself a long skirt. She plans to turn the rest of the fabric into smaller girls' dresses that she can sell. If she needs 110 centimeters of fabric for every dress, how many dresses can she make?
Answers
Answer:
20 dresses
Make sure to label
Step-by-step explanation:
there is 100 centimeters in 1 meter she has 2200 centimeters of fabric left and need 110 for each dress she can make 20 dresses
Which describes the combined variation in the formula h=v/ πr^2?
h varies directly with V and inversely with the square of r.
h varies directly with V and inversely with π and the square of r.
h varies jointly with V and π, and inversely with the square of r.
h varies jointly with V and r2.
Answers
Step-by-step explanation:
h varies directly with v and inversely with the square of r.
1/pi is the constant of variation.
It takes Marty 1 1/4 hours to get ready for school. If 1/5 of that time is used to shower and 1/3 of that time is used to eat breakfast, how long does it take him to shower and eat breakfast?
Answers
Answer: 40 minutes
Step-by-step explanation:
First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.
click on the point f(-3)
Answers
Answer:
The point at f(-3) is at (-3,1).
Step-by-step explanation:
To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.
So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.
Remember that ordered pairs are formatted as (x,y).
Hope this helps.
Can someone please help with this. I’m stuck.
Answers
Answer:
567 ghbvc. the high but
Step-by-step explanation:
solve accordingly to the picture
hope it helps
What is the solution set?
Answers
Answer:
5'3
Step-by-step explanation:
trust me I know what im talking about
helpppppppppppppppppppppppppp walk me thru
Answers
Answer:
i think its a trapazoid
Step-by-step explanation:
Which expression is equivalent to 4.x? - 16?
O A. x² – 12
.
ОВ.
(2x + 4)(2x - 4)
Ос.
2x + 2x – 8 - 8
O D.
(2x - 4)(2x - 4)
Answers
Answer: A
Step-by-step explanation:
A certain brand of laundry detergent is manufactured for $3.85 and then marked up 40% by the local store before selling. The store offers a 20% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of five bottles of detergent. (10 points)
Answers
Answer:
$21.56
Step-by-step explanation:
Original price = $3.85Marked up by 40% = 3.85 x 1.4 = $5.39 per bottleCost and discount of 5 bottles
Cost = 5 x 5.39 = $26.95Discount of 20% = 26.95 x 0.8 = $21.56Answer:
$21.56
Step-by-step explanation:
Original cost of one bottle of detergent = $3.85
Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39
Cost of 5 bottles = 5 × $5.39 = $26.95
Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56
Therefore, the total cost of 5 bottles of detergent is $21.56
------------------------------------------------------------------------------------------------
Information about percetange increase/decrease
If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).
Convert to decimal form: 140% = 140/100 = 1.4
Therefore, to calculate an increase of 40%, multiply the original price by 1.4
If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).
Convert to decimal form: 80% = 80/100 = 0.8
Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8
Mr. and Mrs. Williams hope to send their daughter to college in twelve years. How much money should they invest now at an interest rate of 8.5% per year,
compounded continuously, in order to be able to contribute $9000 to her education?
Answers
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]
This is a img thank you
Answers
Answer: A = and then below is incorrect then state how to find the correct answer and why it is correct.
Step-by-step explanation: hope it helps
What is 88 3/4 rounded to the nearest whole number
Answers
Answer:
89
Step-by-step explanation:
df fd
what does 1/10 + 1/100 equal?
Answers
Answer:
0.11
Step-by-step explanation:
[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]
Find the differential of
f
(
x
,
y
)
=
x
2
+
y
3
at the point
(
2
,
1
)
.
Answers
[tex]f(x,y)=x^2+y^3\implies \left.\cfrac{}{} 2x+3y^2 \right]_{\stackrel{\textit{\small x=2}}{\textit{\small y=1}}}\implies 2(2)+3(1)^2\implies 7[/tex]
If you drew a marble from a bag containing 40 marbles and you had a probability of drawing a red marble, how many red marbles are in the bag?
6
10
3
5
Answers
Answer:
There are 5 red Marbles
Step-by-step explanation:
Alright so since the probability of drawing a red marble is
P(Red) = #Outcomes of Red/#Outcomes in Sample space
The sample Space is 40 marbles.
The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]
P(Red) = [tex]\frac{1}{8}[/tex]
[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]
A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answers
Answer:
30 cubic feet
Step-by-step explanation:
The volume of a box is found by multiplying the area of the base by the height. The area of the base is found by multiplying the length by the width. (3 x 5)(2) = 15(2) = 30 cubic feet
Please help
Simplify:
Answers
Answer:
-9 3/4a+10 2/5
Step-by-step explanation:
-12 * 5/6a = -10a
-12 * -7/8 = 10 1/2
1/14 * 3 1/2a = 1/4 a
1/14 * -1 2/5 = -1/10
Put it together: -10a + 10 1/2 + 1/4a - 1/10
-10a+1/4a = -9 3/4a
10 1/2-1/10= 10 2/5
-9 3/4a + 10 2/5
Using a two-tailed test with an alpha of 0.05, a research reports an obtained Z-score of -2. The researcher should reject the null
hypothesis.
True
False
Answers
Since the absolute value of the z-score is greater than the critical value, the statement is true.
When do we reject or do not reject the null hypothesis?For a two-tailed test:
If the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis.If it is more, we reject.The critical value for a two-tailed test with [tex]\alpha = 0.05[/tex] is of |z| = 1.96.
In this problem, we have that Z = -2, hence |Z| = 2, which is greater than the critical value, hence we reject the null hypothesis and the statement is True.
More can be learned about an hypothesis test at https://brainly.com/question/26454209
Four-sevenths of the people in a room are seated in seven-eighths of the chairs. The rest of the people are standing. If there are 8 empty chairs, how many people are in the room?
Answers
Answer:
147
Step-by-step explanation:
4/7 people in chairs
7/8 of chairs, rest are standing
8 empty chairs
empty chairs = 1/8
full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
There are 147 people in the room.
The given is,
Four-sevenths of the people in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
We have to determine there are 8 empty chairs, how many people are in the room.
Four-sevenths of the people.
What is the standard form of the Four-sevenths?4/7 people in chairs.
7/8 of the chairs, rest are standing
The 8 empty chairs,
The empty chairs = 1/8
The full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
To learn more about the unknown quantity visit:
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