Answer:
\(\theta=\dfrac{7}{4}\ \text{radian}\)
Step-by-step explanation:
We have,
Radius of the circle is 12 cm
Arc length, l = 21 cm
It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :
\(l=r\times \theta\)
\(\theta\) is central angle
\(\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}\)
So, the angle at the centre of the circle is \(\dfrac{7}{4}\ \text{radian}\).
Maya decides to use the method of proportions and similar triangles
to find the height of a tower. She measures the length of the tower's
shadow and finds it is 20 feet long. Then she holds a 12-inch ruler
perpendicular to the ground and finds that it casts a 4-inch shadow.
How tall is the tower?
a. 2.4 ft c. 60 ft
b. 5 ft d. 240 f
Please help!!!
(7x^5y^7)^2 / 7x^2y^3
help me with this topic pls thanks
i only need help with part A.) part B.) and part C.)
Answer:
I can 't and see the question, Pls send it again.
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answer:
72
Step-by-step explanation:
First, we will multiply the number of posts (7) by the posts' width (6) to get 42.
Since there is a chain between each post, there are 6 chains.
Multiplying the number of chains (6) by the chains' length (5), we get 30.
The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.
Hope this helps!
what does the word "percent" means? What does per means? and what does cent means?
Select all pairs of supplementary angles in the diagram.
BAF and AFB
BAF and AFB
ABF and DCE
ABF and DCE
CDE and DEC
CDE and DEC
CEF and AFB
CEF and AFB
BAF and DEC
BAF and DEC
FBC and BFE
FBC and BFE
BCE and CEF
BCE and CEF
BCE and BAF
In the given figure angle CBF and angle CEF are supplementary angles. So Option C is correct.
What is an angle ?
An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Given that,
A figure which contains one trapezium BCEF
And in this portion angle CBF and angle BCE are opposite angles
and opposite angles are supplementary angles,
Hence, the pairs of angles are ∠CBF & ∠CEF
Answer: BAF and AFB, CDE and DEC, CEF and AFB
Step-by-step explanation:
What are similarities between scalene triangles, isosceles triangles, and equilateral triangles?
Answer:
THEY ARE ALL TRIANGLES, all have an measure to 180 degree, all have angles ;)
Step-by-step explanation:
SCALENE ALL DIFFER IN SIZE
ISOCLES 2 ARE SAME
EQUALATREAL EQUAL
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
Questions to ask when comparing and using algebra tiles, Adding and subtracting integers
Answer:
i dont understand the question?
Step-by-step explanation:
Westin performed an experiment in which he randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. He did this 36 times, and 9 of those times he pulled a purple marble.
Which bags of marbles are good models for this experiment?
Select two that apply.
A ) 4 purple, 5 blue, 2 green, 1 red
B ) 4 purple, 5 blue, 2 green, 1 red
C ) 9 purple, 9 red, 9 green
D ) 9 purple, 9 red, 9 green
E ) 1 purple, 1 blue, 1 green, 1 red
F ) 1 purple, 1 blue, 1 green, 1 red
G ) 4 purple, 4 blue, 4 yellow, 4 orange
Answer:
Step-by-step explanation:
Based on the experiment, 9 times he pulled a purple marble out of the 36 trials.
That means he has a 1/4 probability of pulling a purple marble
This means that the purple marble ideally makes up one-quarter of the total marble in the bag.
Choice G and F satisfy the condition as stated above.
Hope that helps!
lets evaluate 81^-3/4.
Answer:
1/ 27
Step-by-step explanation:
\( = 81^{ \frac{-3}{4} } \)
\( = (\frac{1}{81}) ^{ \frac{3}{4} } \)
\( = (\frac{1}{3}) ^3 \)
\( = \frac{1}{27} \)
please help 14 points
Answer:40
Step-by-step explanation:
Answer:
63 \(m^{2}\)
Step-by-step explanation:
If you cut up the shape in to vertical shapes, the rectangle on the right and left have the equation 8 times 3 is 24. So we add 24 and 24 to get 48. The center is a little more difficult. the length is 3 and the height is 8 minus three, which come out to 5. 3 times 5 is 15. 48 plus 15 is 63, therefore your answer is 63.
∠1 and ∠2 are supplementary.
m∠1=124°
m∠2=(2x+4)°
What is the value of x?
Options:
13
26
40
36
41
Answer:26
Step-by-step explanation:Since angles 1 and 2 are supplementary, it follows that there sum is 180°.
On this note;
Sum of 1 and 2 is;
180 = 124 + (2x + 4)°
(2x + 4)° = 180 -124
2x = 56 -4
2x = 52
x = 26°.
A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 12 and one-third feet per minute for 4.5 minutes. Which of the following numerical expressions represents the final depth of the diver?
200 + 12 and one-third(4.5)
200 – 12 and one-third(4.5)
–200 + 12 and one-third(4.5)
–200 – 12 and one-third(4.5)
how would you figure this out?
Answer:
-200+12 and one-third(4.5)
Step-by-step explanation:
Firstly, it can't be one of the first 2 answers because we go down by 200ft. Then, we know it can't be the last option because we gain 12 and 1/3 ft per minute. Therefore, it must be the third option.
I need help, please quickly
Answer: The ratio is 18:3
Step-by-step explanation:
Answer: 6 to 1
Step-by-step explanation:
A ratio refers to a fraction. In this case the question asks how many players to coaches there are.
The word "to" means that is where the fraction bar goes.
Players/Coaches
There are 18 players and 3 coaches.
18/3
18 can be divided by 3, 6 times so the fraction can be simplified to
6/1 meaning there are 6 players for every coach.
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
1. 2 divided by one-fifth = 10
2. 1 divided by one-fifth = 10
3. 2 divided by one-tenth = 5
4. 1 divided by one-tenth = 5
Answer. Number one i think.
Answer:
The answer is 1, 2 divided by one fifth.
Step-by-step explanation:
1/5 is 2/10 simplified and it's meeting at 2 therefore, the first option is correct.
How can you rewrite the number 1 as 10 to a power?
How can you rewrite the number 1 as 2 to a power?
Answer:
To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).
Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...
2^1
-----
2^1
Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...
2^1-1
...because of the quotient rule. And what does 1-1 equal? 0. So you'd get
2^0
This is known as the "zero-exponent rule!"
Hope this helped.
Step-by-step explanation:
2 1/4 ÷( 3/8 ÷ 1/2 ) help
Hi there!
~
\(2 \frac{1}{4} \div ( \frac{3}{8} \div \frac{1}{2} )\)
\(= 3\)
Hope this helped you!
Answer:
1 11/16
Step-by-step explanation:
Solve the given equation.
m/18 = 3
Answer:
its 6
Step-by-step explanation:
Answer:
m=54
Step-by-step explanation:
you multiply 18 and 3
Could any one say for me the volume and the surface for "Pyramid, Cone and Sphere"
Plz help!!
Who will answer will be the *"Brainliest"*
Thank u
Answer:
Pyramid: In fact, the volume of any pyramid is one-third the area of the base times the height. Finding the surface area of a pyramid is done by first finding the area of the base and the area of each lateral face. … Lastly, the surface area of a pyramid is the sum of the area of the base and the lateral area!
Cone: a volume of 4 3 π r 3 \frac{4}{3} \pi r^3 34πr3 and a surface area of 4 π r 2 4 \pi r^2 4πr2.
Sphere: A cone is essentially a pyramid with a circular base. The volume of a pyramid is given by Vpyramid=Abase⋅h3. Since the area of the base of a cone is πr2, the formula for the volume of a cone is Vcone=πr2h3.
need help on this one
Answer:
Repeating
Repeating
Non-Repeating
repeating
Step-by-step explanation:
Which layer of the earth is responsible for continental and oceanic plate movement?
(I know this is in the wrong category, I could not find the right one.)
A. crust
B. mantle
C. inner core
D. outer core
Answer: B. Mantle
Step-by-step explanation:
I just couldn't pass up answering this question. I think the earth is very interesting.
The Earth's mantle is a thick layer of hot, flowing rock that lies beneath the crust. Convection currents within the mantle are responsible for the movement of the Earth's tectonic plates, which make up the continents and the ocean floor. As the mantle convects, it drags the plates along with it, causing them to move and interact with each other at their boundaries. This movement is responsible for many geological phenomena, including earthquakes, volcanoes, and the formation of mountain ranges.
PLSSS help me, i will mark BRAINLIEST!!!
Answer:
Hi!,
The Answer should be 4
Step-by-step explanation:
1. First divide 2 by 3
2. Calculate the power 5²
3. =10/3
4. = 2/3 + 10/3
5. = 4
(TO add fractions, find the LCD and then combine)
LCD--"Least Common Denominator"
ANSWER: 4
How do you get the numbers 14 and 18 by only using 4? *and PEMDAS
ex equation : (4 + 4) / (4 + 4) = 1
Please use the selected number (4) at least four times or more. Thank you!
The line plot shows the heights of several students. Students Height (feet) Based on the plot, which two statements are correct? Responses A The difference in height between the tallest student and the shortest student is foot.The difference in height between the tallest student and the shortest student is Image with alt text: foot. B The combined heights of the students is feet.The combined heights of the students is Image with alt text: feet. C The plot shows the heights of students.The plot shows the heights of Image with alt text: students. D The combined heights of the students is feet.The combined heights of the students is Image with alt text: feet. E The difference in height between the tallest student and the shortest student is foot.
Answer: B
Step-by-step explanation: The combined height is 36'.
3 times 4.25= 12.75.
2 times 4.50 = 9.
and 3 times 4.75 = 14.25.
12.75+9=21.75.
21.75+14.25=36
So, your answer is B.
Answer: A
I think I might of messed up but I tried...
does anyone know how to get more points in khan academy mastery challenge??
Answer:
I would say getting all the them right.
Step-by-step explanation:
There isn't really a way to get more points unless you're getting the questions all correct- So I would say just grind those points!
Answer:
just be smart
Step-by-step explanation:
Sorry for another one! WILL GIVE BRAINLIEST!! DUE TODAY! Help please
Answer:
1.5 or 6/4
Step-by-step explanation:
y=1.5x+2
or
y=6/4x+2
Samuel correctly determines the product by applying the distributive property. What is Samuel's answer?
Answer: -75
Step-by-step explanation:
Pls help me in math, I need this tomorrow, thx :)
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.