Pentagon ABCDE is similar to pentagon PQRST. If the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, which
statement is true?
A.
The area of pentagon ABCDE IS 6 times the area of pentagon PQRST.
B.
The area of pentagon ABCDE is 12 times the area of pentagon PQRST.
C.
The area of pentagon ABCDE is 36 times the area of pentagon PQRST.
D.
The area of pentagon ABCDE IS 216 times the area of pentagon PQRST.
Answers
Answer:
The answer is C
Step-by-step explanation:
please make me brainliest
Any five-sided polygon or 5-gon is referred to as a pentagon. The area of pentagon ABCDE is 36 times the area of pentagon PQRST.
What is a pentagon?Any five-sided polygon or 5-gon is referred to as a pentagon. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting.
We know the formula for the area of a pentagon, therefore, the area of the pentagon PQRST can be written as,
\(A=\dfrac14\times \sqrt{5(5+25)}\times a^2\)
Given that the side of the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, therefore, the area of the pentagon ABCDE can be written as,
\(ABCDE=\dfrac14\times \sqrt{5(5+25)}\times (6a)^2\\\\ABCDE = \dfrac14\times \sqrt{5(5+25)}\times 36 \times a^2\\\\ABCDE = 36 \times A\)
Hence, The area of pentagon ABCDE is 36 times the area of pentagon PQRST.
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Related Questions
y/3 - 8 = 12 im sobbing how do i do this
Answers
Then multiply the reciprocal of 1/3 to both sides, so you would multiply by 3/1 (which is just 3) on both sides
And the final answer is
Y = 60
Answer: 60 or -60, depending on the question.
Step-by-step explanation:
Since the question wasn't clear, there are two possible answers for this.
If the question was (y/3) - 8, then the problem can be completed like this:
(y/3) - 8 = 12
y/3 = 12 + 8
y/3 = 20
y = 20 * 3
y = 60
If the question was y/(3-8), then the problem can be completed like this:
y/(3 - 8) = 12
y = 12(3 - 8)
y = 12(-5)
y = -60
hope this helped !!
A certain star is 4.6 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How far from the earth (in miles) is the star? Has to be answered in scientific notation
Answers
Answer:
2.537 x 10¹⁵ miles
Step-by-step explanation:
We are given the following:
1 light year = 5.9 x 10¹² miles
Distance of the star = 4.3 x 10² light years
To get this we just convert the distance of the star in light years into miles.
We cancel out the light years and then we are left with:
In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.
Coefficients:
4.3 x 5.9 = 25.37
Exponents of 10:
10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴
Then we combine them again to form a scientific notation:
25.37 x 10¹⁴
But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.
The answer will then be:
2.537 x 10¹⁵ miles
Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.
Yours,
Fellow Brainiac
Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case.
75% syrup?
Answers
Answer:
For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.
Step-by-step explanation:
Let x represent the amount of water added. This means the total mass of the syrup is represented by 0.5+x.
To find percentages, we divide the part by the whole. For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:
Multiply both sides by 0.5+x:
Using the distributive property, we have
0.5 = 0.5(0.5)+0.5(x)
0.5 = 0.25+0.5x
Subtract 0.25 from each side:
0.5-0.25 = 0.25+0.5x-0.25
0.25 = 0.5x
Divide both sides by 0.5:
0.25/0.5 = 0.5x/0.5
x = 0.5
For 50% syrup, add 0.5 lb of water. This makes the total mass 0.5+0.5 = 1 lb.
For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:
Multiply both sides by 0.5+x:
Using the distributive property,
0.5 = 0.05(0.5)+0.05(x)
0.5 = 0.025 + 0.05x
Subtract 0.025 from both sides:
0.5-0.025 = 0.025+0.05x-0.025
0.475 = 0.05x
Divide both sides by 0.05:
0.475/0.05 = 0.05x/0.05
x = 9.5
For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.
For 75% syrup, set the equation equal to 0.75:
Using the distributive property,
0.5 = 0.75(0.5)+0.75(x)
0.5 = 0.375 + 0.75x
Subtract 0.375 from each side:
0.5 - 0.375 = 0.375 + 0.75x - 0.375
0.125 = 0.75x
Divide both sides by 0.75:
0.125/0.75 = 0.75x/0.75
0.17 = x
For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.
For 1.5% syrup, set the equation equal to 0.015:
Using the distributive property,
0.5 = 0.015(0.5) + 0.015(x)
0.5 = 0.0075 + 0.015x
Subtract 0.0075 from each side:
0.5-0.0075 = 0.0075 + 0.015x - 0.0075
0.4925 = 0.015x
Divide both sides by 0.015:
0.4925/0.015 = 0.015x/0.015
32.8 = x
For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.
I hope this is right and have a good day
Answer:
unknown
Step-by-step explanation:
i dont understand the question, the following concentrations are not listed and i do not know how the numbers are tied together, please comment if you have this information and ill try my best to answer (ill edit this answer)
Use a number line to order the numbers from least to greatest.
Answers
Assign the numbers to the number line in the following order:
2.15=2.15
220%=2.2
9/4=2.25
*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:
2.15, 2.2, 2.25
if 4/4 is 1 then 9/4 is 2 whole with 1/4 left
220%=2.2 and 2.15 is still 2.15
How would 5,982,750,007 be written in expanded form?
A. 5,000,000 + 900,000 + 80,000 + 2,000 + 700+ 50 + 7
B. 5,000,000 + 900,000 + 80,000 + 20,000 + 7,000 + 50 + 7
C. 5,000,000,000 + 900,000,000 + 80,000,000 + 2,000,000 + 700,000 + 5,000 + 7
D. 5,000,000,000 + 900,000,000 + 80,000,000 + 2,000,000 + 700,000 + 50,000 + 7
Answers
Answer:
D.5,000,000,000+900,000,000+80,000,000+2,000,000+700,000 +50,000+7
Answer:
Hello
Hi I think it's Option D
Hope this helps \(BRAINLIEST\) \(PLEASE\)
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Additional Comment
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Which expression is equivalent to 9(15)?
A. 9(1+50)
B. 9(10+50)
C. 9(10+5)
D. 9(1+5)
Answers
B is 9(60)
D is 9(6)
But c is 9(15) so that’s the answer
Evaulate each expression when n = 2.3
N + 8n2 - 17=
Answers
Answer: 27.62
Step-by-step explanation:
plug in 2.3 wherever 'n' is
I'm assuming that the '2' in 8n2 is an exponent
2.3 + 8(2.3)² - 17 =
Using PEMDAS
start out with exponent since there isn't any parenthesis
(2.3)² = 5.29
2.3 + 8(5.29) - 17
move on to multiplication
8(5.29) = 42.32
2.3 + 42.32 - 17
with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there
2.3 + 42.32 = 44.62
then the subtraction
44.62 - 17 = 27.62
Answer:
Step-by-step explanation:
The answer is 27.62
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A scatter plot is shown on the coordinate plane.
scatter plot with points plotted at 1 comma 7, 1 comma 10, 2 comma 6, 3 comma 7, 3 comma 8, 5 comma 8, 6 comma 6, 7 comma 4, 9 comma 2, and 10 comma 1
Which two points would a line of fit go through to best fit the data?
A. (1, 10) and (6, 6)
B. (1, 7) and (2, 6)
C. (3, 7) and (7, 4)
D. (3, 8) and (6, 6)
Answers
Can you please help me im stuck on this I would kindly appreciate it.
Answers
Answer:
\({ \tt{y = 2x - 3}}\)
What is the solution set for this system of equations?
4x + y = 13
x − 3y = 0
Answers
Answer:
(3, 1)
Step-by-step explanation:
Pre-SolvingWe are given the following system:
4x + y = 13
x - 3y = 0
We want to find the solution.
We can solve this system with substitution, where we solve one of the variables for the other, then substitute that value into the other equation.
SolvingTo start, we can add 3y to both sides to solve for x.
x - 3y = 0
+3y +3y
____________________
x = 3y
Now, substitute x as 3y in 4x + y = 13
4(3y) + y = 13
12y + y = 13
13y = 13
y = 1
Now, substitute 1 as y in x=3y
x = 3(1)
x = 3
Our solution is x = 3, y = 1. As a point, that is (3,1).
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( True / False ) Force is used in aristocracy government.
If yes, how?
If no, why?
Answers
Answer:
True
Step-by-step explanation:
Looking at this topic generally force is used, if we look at the different countries across Europe at the beginning of civilization, there is lot of usage of force by the Aristocratic Governments. Even though it was prominent in Europe, there were also traces of it during the rule of Shang and Zhou dynasties of China. To support the citizens force is required, in the ancient times, use of force to make citizens obey the laws is a common practice. Nowadays in these countries the elite members who control the country reap the benefit and use of force is just to get themselves the money. Nowadays its all about Money.
False, because in aristocracy you are not forced to participate in the government.
The volume of the cone is 540π , work out the height of the cone.
radious = 6cm
Answers
Answer:
14.32
Step-by-step explanation:
The volume of the cone is 540π , work out the height of the cone.
radious = 6cm
Answer:
14.32
Step-by-step explanation:
Is true artificial intelligence possible? Write a short essay and explain your opinion.
Answers
KSKSKSKSKSKSKSKSSKSKSK
Find the measurement of angle JGH. *
Answers
Answer:47
Step-by-step explanation:
that is a 90 degree angle and FGJ is already 43 so subtract 90 from 43 and you will get the angle for JGH which is 47
help please fasttttttttttttttttttt
Answers
Answer: I think it's 4.
By multiplying by 4 it would equal -8, which would then cancel out the positive 8 in the equation above. Which would cancel out the y-terms
can someone help me for brainliest
Answers
Answer:
10)
No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.
11)
7. its the square root of 49, which is the closest to 55.
hope this helps!
The circle graph shows the visitors at Ms. Chompson’s bakery last month. There were a total of 360 visitors last month. Show your work to find the answers below. Give a number, not the percent.
a) How many visitors last month were age 18 and under? ____________
b) How many were between the ages of 19-44? _____________
Answers
Answer:
15
Step-by-step explanation:
-25
Explanation:
Sana nakatulong ako
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?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
PLS HURRY Which of the following number sentences is an example of the associative property? Select all that apply.
Answers
Answer: 1st and 3rd options.
Step-by-step explanation:
The associative property is ax(bxc)=(axb)xc
So the first option is merely moving the parentheses around. This is associative.
The second option is distributive. Do not pick this option.
The 3rd option is also moving parentheses around. This is associative.
The fourth option is identity property of multiplication (anything x 1 is iteself). Don't pick this option.
Answer:
1st and 3rd ones
This expression involves two numbers written in scientific notation.
Which is the simplified form of the expression?
Answers
Answer: the answer for it would be 20000 or should be
Step-by-step explanation:
4.2e7/2.1e3 should come out to 20000 at least my graphing calc says it should but it should come out to 20k
4.2/2.1 x 10 little 7/10 little 3 = 4.2/2.1 x 10 little 4 = 2 x 10 little 4 = 2x 10000= 20,000
I hope it helps:)
Help please this is 6th grade math
Answers
4 = 5.16
7= 9.03
11= 14.19
17= 21.93
helpppppppp pleaseeee giving 50 points
Answers
Solve the following problems for x.
Answers
3 (4x-7)+x
Solve!
here- first distribute then combine like terms then you will find your solution.
What expression is equivalent to the algebraic expression 3(-2x-1)?
Answers
Answer:
-6x-3
Step-by-step explanation:
distribute the 3 by multiplying it with the -2x and the -1
i got this for mine and it was right!!
have a blessed day
Volume Notes & Practice - Please use a pencil. No typed work will be
accepted. Review the volume of a cylinder formula on page 3 of the lesson.
Several soft drink can sizes being considered by a soft drink company are shown below For each
can calculate its volume in cubic inches Usen 3.14
Option 1:
Radius=
2.5 inches
Volume:
Option 4:
Radius
1.5 inches
Volume:
Height-
6 inches
Height-
6 inches
Option 2
Radius-
1.5 inches
3
Volume:
Option S
Radius=
2 inches
Volume:
Height-
4 inches
Height-
4.5 inches
Option 3:
Radius
2 inches
Volume:
Option 6:
Radius=
2 inches
Volume:
Height
2.25 inches
Height-
6 inches
Answers
Answer:
Step-by-step explanation:
so first you multiply the radius times 3.5785738473847 which will give you 666 im in your walls
\
The Volume of cylinder are as given elbow:
1. 117 in³
2. 21.195 in³
3. 28.26 in³
4. 42.39 in³
5. 50.24 in³
6. 75.36 in³
To calculate the volume of each can, we can use the formula for the volume of a cylinder:
Volume =πr²h
Using the given values, we can calculate the volume for each option:
Option 1:
Radius = 2.5 inches
Height = 6 inches
Volume = 3.14 x (2.5²) x 6 = 117 in³
Option 2:
Radius = 1.5 inches
Height = 3 inches
Volume = 3.14 x 1.5² x 3 = 21.195 in³
Option 3:
Radius = 2 inches
Height = 2.25 inches
Volume = 3.14 x 2² x 2.25 = 28.26 in³
Option 4:
Radius = 1.5 inches
Height = 6 inches
Volume = 3.14 x 1.5² x 6 =42.39 in³
Option 5:
Radius = 2 inches
Height = 4 inches
Volume = 3.14 x 2² x 4 = 50.24 in³
Option 6:
Radius = 2 inches
Height = 6 inches
Volume = 3.14 x 2² x 6 = 75.36 in³
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Find the value of: 24/25 divided by 4/5
Type mixed numbers like this: WholeNumber numerator/denominator
type the whole number then a space...then type the numerator, a slash, and the denominator WITH NO SPACES between each part.
Type fractions like this: numerator/denominator
type the numerator, a slash, and the denominator WITH NO SPACES between each part
Answers
Answer:
1 1/5.
Step-by-step explanation:
To divide a fraction by another fraction you have to change the equation like "Keep, Switch, Flip".
For the problem 24/25 ÷ 4/5,
You KEEP the first fraction as is, so 24/25
Then, you SWITCH the sign from division to multiplication.
Finally, you FLIP the second fraction upside down, (the reciprocal). So it's 5/4.
The equation is now 24/25 * 5/4, which we can just multiply the numerators and denominators. (or cross cancel first)
24 * 5 = 120
25 * 4 = 100
the fraction is 120/100. Simplified, it can be divided by 10 to make 12/10, and finally divided by 2 to make 6/5, or 1 1/5.
Select all of the prime numbers from the list that can divide the number 14 exactly.
A. 2
B. 3
C. 5
D. 7
E. 11
F. 13
G. 17
H. 19
I. 23
Answers
Answer:3,5,7,11, and 13
Step-by-step explanation:i hope this helps
Which equation represents a proportional relationship?
y=2(x+13)
y=12x
y=−3x+2
y = 3x
please help I don't understand ugh
Answers
Solve x+4=-x by graphing.
Answers
Answer:
Step-by-step explanation:
(x^-2)^3 Simplify & express answers using positive exponents
Answers
Answer: 1/(x^6)
Step-by-step explanation:
(x^-2)^3=
(x^(-2*3))=
(x^(-6))=1/(x^6)
Answer:
1/\(x^{6}\)
Step-by-step explanation:
(x^-2)^3
If you have parentheses around an exponent, you multiply them together.
x^-6
Change it to reciprocal so it is 1/\(x^{6}\)
Proof:
\(x^{-2}\) × \(x^{-2}\) × \(x^{-2}\) = \(x^{-2 - 2 - 2}\) = \(x^{-6}\)