Answers
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Related Questions
HELPPP ITS QUESTION 17 BTW
Answers
Answer:
c
Step-by-step explanation:
Answer:
12n
Step-by-step explanation:
Heyy can someone help me ¿? ;-; is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
Answers
Step-by-step explanation:
she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three
A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview
Answers
Answer:
They should interview 1620 adults now.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
z wont change, neither will [tex]\sigma[/tex]
We want to increase n as such the margin of error is reduced to one third.
We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So
180*9 = 1620
They should interview 1620 adults now.
Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.
Answers
Answer:
that will be 725.10 im not sure
Answer:
The answer is 770.9 and cant be rounded to the nearest tenth.
i need help with finding slopes from graphs
Answers
Y=2+-4x
Step-by-step explanation:
Hope ot helps
Plzzzzz help meeee
Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans
Answers
Answer:
ice sheets water vapor, and rivers
Step-by-step explanation:
vote brainiest if this helped
Answer:
c
Step-by-step explanation:
What is x? I’ll make you the brainliest
Answers
Answer:
48
Step-by-step explanation:
If EG=8, OE=4
x/12=4
x=4(12)
x=48
2squared minus 4squared plus 1 plus 7 squared can you find the answer
Answers
2²-4²+1+7²
we should solve the numbers with exponents :
4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38
pls give me brainliest
A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each
Answers
Write the following rate in simplest forms.
1. 333 calories burned in 55 minutes.
2. 4 million hits on a website in 16 months.
3. 279 points in 27 games.
4. $49 for 448 photos.
5. 6 pounds of zucchini for 24 servings.
Answers
Explanation: 333/55 is already in simplest form
(4/16)/(4/4)=1/4
(279/27)/(9/9)=31/3
(49/448)/(7/7)=7/64
Anyone 100% know dis answer
Answers
Answer:
Rotational symmetry
Step-by-step explanation:
The rectangle rotated 180 degrees to get the transformed rectangle.
In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122?
Answers
Answer:
B. 95%
Step-by-step explanation:
The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.
The confidence interval is 95.45% of the data in the data set with a normal distribution
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval
Confidence Interval CI = x + z ( s/√n )
where x = mean
z = confidence level value
s = standard deviation
n = sample size
Given data ,
To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:
Approximately 68% of the data falls within one standard deviation of the mean
Approximately 95% of the data falls within two standard deviations of the mean
Approximately 99.7% of the data falls within three standard deviations of the mean
Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:
Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation
For 74: z = (74 - 98) / 12 = -2
For 122: z = (122 - 98) / 12 = 2
Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.
The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.
Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.
Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.
To learn more about confidence interval click :
https://brainly.com/question/16807970
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Let f(x) = - 2x + 5 and g(x)=x2 + 5.
Find (f+g)(x)
Answers
Answer:
[tex]x^{2}[/tex]-2x+10
Step-by-step explanation:
The room number of the a computer lab is a perfect
square. It is not even, but it is a multiple of 3. The
room number is either 25, 27, 36, or 81. Which one is
it?
Answers
Answer:
81
Step-by-step explanation:
25 and 27 are not perfect squares so they can not be the answer.
36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81
Among fatal plane crashes that occurred during the past 55 years, 347 were due to pilot error, 83 were due to other human error, 596 were due to weather, 374 were due mechanical problems, and 114 were due to sabotage. Construct the relative frequency distribution.
Required:
What is the most serious threat to aviation safety, and can anything be done about it?
Answers
Answer:
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Step-by-step explanation:
Given the data :
Pilot error = 347
Other human error = 83
Weather = 596
Mechanical problem = 374
Sabotage = 114
Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487
Relative frequency :
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.
Deployment of more weather monitoring technologies
What impact did the American Revolution have on Haiti?
What impact did the Haitian Revolution have on the United States?
Please help
Answers
Answer:
What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.
What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.
Step-by-step explanation:
BRAINLIST PLEASE!!
14 ÷ 3/8
I need help plis :(
Answers
Answer:
[tex]\frac{112}{3}[/tex]
Step-by-step explanation:
14 ÷ 3/8 = 14 • 8/3
= 112/3
Answer:
37 1/3
Step-by-step explanation:
use Keep Change Flip when dividing with fractions! :) It's helpful
for example: 14 ÷ 3/8
14 (keep as 14)
* (change to multiplication)
8/3 (flip the fraction)
14 times 8/3= 37 1/3
ABCD∼EFGH
The value of x is
Answers
Answer
didn't know there was an image
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answers
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
Answer: 47.12cm (rounded to 2dp)
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
C = 47.1238898
C = 47.12 (2 dp)
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
Annabeth and Charlie are both on road trips. Annabeth’s distance, in miles, from New York t hours after 12:00 p.m. is modeled by this function.
Answers
Charlie travelled greater amount of time.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
D(t) = 60 |t- 3|
for, t=0
D(0) = 60*3 = 180
For t=1,
D(1) = 120
For t= 2
D(2) = 60
According to the data of Charlie and Annabeth it can bee seen that charlie had been travelling greater amount of time.
Learn more about function here:
https://brainly.com/question/12431044
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Answer:
Charlie!
Step-by-step explanation:
solve and receive brain list
Answers
Answer:
x = 19/22
Step-by-step explanation:
8x-12+36x = 26
44x - 12 = 26
44x = 38 (add 12 on both sides)
x = 19/22 (divide bot sides by 44 and simplify)
A. Identify which of the following points: (2,-5),(4,1),(3, 3),(6,3) are solutions of the linear equation: 2x - y = Graph each point that is a solution of the linear equation from Part A.
Answers
Answer: It will be (2,-5) and (6,3) because they are one the slope line
Step-by-step explanation:
Hope is Helped
Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2
Answers
Answer:
a.) May or may not a polynomial function ( depends on c)
b.) Not a polynomial function.
c.) Not a polynomial function.
d.) It is a polynomial function.
Step-by-step explanation:
A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]
where n is positive integer and n[tex]\neq[/tex] 0
a.)
P(x) = 2x³ + 32 - 4x + 4c
It may or may not a polynomial function because we did not know about the constant c.
b.)
H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴
It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.
c.)
G(x) = 2[tex]x^{-3}[/tex] + 5
It is not a polynomial function because -5 is not a positive integer.
d.)
F(x) = 2x³ - 5x + 33x²
It is a polynomial function.
The standard form of a polynomial is expressed as;
[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]
The leading power of a polynomial must be greater than 2 and must be a positive integer.
a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
b) For the function [tex]G(x)=2x^{-3}+5[/tex]
This is not a polynomial because the leading degree of the polynomial is a negative integer
c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]
This is not a polynomial because the leading degree of the polynomial is a fraction.
d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
Learn more here: https://brainly.com/question/16467846
Name another ordered pair that is on the graph
of the equation represented by the table.
HELP MEH ASAP PLS PLZ PLZ
Answers
Answer:
(5,30)
Step-by-step explanation:
That is the constant change in the y's as the x's increase by 1?
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.
(5,30)
Out of these, which is not an inequality?
a. 435 ≥ 5p + 4
b. g - 7 < 100
c. 18x + 9y
d. a > 6b
Answers
Answer:
C. 18x+9y
Step-by-step explanation:
Answer:
I think its the third one, C. Hope this helps!
help me me me me pls
Answers
Answer:
"C" is the answer to that question
Answer:
C
Explanation:
Because I say so
1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?
Answers
Answer:
5 quarters and 2 dimes
Step-by-step explanation:
5 quarters make 1.25 + 10 cents = 1.45
Answer: she had five quarters and 2 dimes
Step-by-step explanation:
Need help with math questions. :) Please help me answer them... I will give brainless
Answers
Blue: slope is 1/2 and y-int is 3
Green: slope is -2/3 and y-int is -4
Answer:
7.)
a. y = -3x+3
b. y = 3x + 4
c. y = x + 3 (not sure about this one)
8.)
x = 63
y = 6
6.)
left an attachment (not sure about the growth triangle though)
5.)
Red Line - slope = -2
y-in = 1
Blue Line - slope = (1/2) or 0.5
y-in = 3
Green Line - slope = (-2/3) or 0.667
y-in = -4
Step-by-step explanation:
Sorry it took me so long
Find the slope of the line for the angle.
330 degrees
Answers
How this helped!
By stips please ........
Answers
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct