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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1 2 start fraction, 1, divided by, 2, end fraction and labeled it Polygon DDD. What is the area of Polygon DDD?
Answers
Answer:
Area of polygon D = 10 square units
Step-by-step explanation:
Given:
Polygon C has an area of 40 square units.
It is scaled with a scale factor of [tex]\frac{1}2[/tex] to form a new polygon D.
To find:
The area of polygon D = ?
Solution:
When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.
And the area becomes one-fourth of the original polygon.
Let us consider this by taking examples:
First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.Area of a right angled triangle is given by:
[tex]A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units[/tex]
If scaled with a factor [tex]\frac{1}{2}[/tex], the sides will be 3, 4 and 5.
New area, A':
[tex]A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A[/tex]
i.e. Area becomes one fourth.
Let us consider a rectangle now.Sides be 8 and 10 units.
Area of a rectangle, A = [tex]Length \times Width[/tex] = 8 [tex]\times[/tex] 10 = 80 sq units.
Now after scaling, the sides will be 4 and 5 units.
New Area, A' = 4 [tex]\times[/tex] 5 =20 sq units
So, [tex]\bold{A' = \frac{1}4 \times A}[/tex]
Now, we can apply the same in the given question.
[tex]\therefore[/tex] Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] Area of polygon C
Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] 40 = 10 sq units
Answer:
Step-by-step explanation:
10
An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. A right triangle B N O is shown with angle B marked 55 degrees, side B N marked x and side B O marked 15000 feet.
Answers
Answer:
x = 18311.61 m
Step-by-step explanation:
It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,
[tex]\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]
Let x is the distance between the bird and the nest
So,
[tex]\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m[/tex]
So, the distance between the bird and the nest is 18311.61 m.
Answer:
8,604
Step-by-step explanation:
6 agents can sell 333 cars in 3 months.
At this rate, how many cars can 3
agents sell in 6 months?
Answers
Answer:
333 cars
Step-by-step explanation:
Assuming among 6 agents, the working efficiency is the same and constant. Fixing number of agents:
6 agents can sell 333 cars in 3 months.
=> 6 agents can sell 333/3 cars in 3/3 month.
=> 6 agents can sell 111 cars in 1 month.
Fixing number of months:
=> 6/2 agents can sell 111/2 cars in 1 month.
=> 3 agents can sell 111/2 cars in 1 month.
Then considering that 3 agents worked in 6 months:
=> 3 agents can sell 6 x 111/2 cars in 6 x 1 months.
=> 3 agents can sell 333 cars in 6 months.
The graph below shows the distance traveled by a person biking at a rate of 6
miles per hour
The equation is d = 6, where t is the number of hours and d is the distance traveled.
Write an equation that represents the distance traveled by a person who can bike
at a rate of 8 miles per hour
Answers
Answer:
[tex]d = 8t[/tex]
Step-by-step explanation:
If you travel at 8 miles per hour, where t is the number of hours, then, using the formula [tex]d=rt[/tex] (r being the rate, in this case 8), the equation becomes [tex]d = 8t[/tex].
Hope this helped!
Which kind of symmetry does the word TOOT have?
Answers
Answer:
Linear symmetry.
Step-by-step explanation:
The word 'TOOT' can be reflected in y-axis if a point (0,0) on cartesian plane divides the words' TO' and 'OT' equally.
Which situation can be represented by 80x > 150 + 50x?
Answers
Answer:
All numbers greater than 5, i.e., [tex]x>5[/tex] .
Step-by-step explanation:
The given inequality is
[tex]80x>150+50x[/tex]
Isolate variable terms on one side to find the solution.
Subtract 50x from both sides.
[tex]80x-50x>150+50x-50x[/tex]
[tex]30x>150[/tex]
Divide both sides by 30.
[tex]\dfrac{30x}{30}>\dfrac{150}{30}[/tex]
[tex]x>5[/tex]
It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61 300x + 30y = 75.90 Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution?
Answers
Answer:
d. The cost of natural gas (y) = $0.83 per unit
Step-by-step explanation:
The explanation is shown below:-
the equation of system is:
750x + 17y = 141.61 (i)
300x + 30y =75.90 (ii)
as x indicates the cost of electricity and y indicates the costs of natural gas.
we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75
[tex]30\times (750x + 17y) 30\times 141.61\\\\[/tex]
after solve the above equation we will get
22,500x + 510y = 4248.3 (iii)
[tex]75\times (330x + 30y) = 75\times 75.90[/tex]
after solve the above equation we will get
22500x + 2250y = 5692.5 (iv)
After deducting the equation (iii) and (iv) we will get
1740 y = 1444.2
After Dividing by 15 both sides,
116y = 96.28
So, Katrina simplify the above system using linear equation and reach at the equation that is
116 y = 96.28
By Division property of equality defines that divide the equal no. of both sides of an equation:
by Division of 116 to both sides of an equation, to get y:
[tex]\frac{116y}{116} = \frac{96.28}{116}[/tex]
y = 0.83
So, the natural gas is $0.83 per unit
Answer:
d
Step-by-step explanation:
Find the distance from point M to point N on the graph shown. Round your answer to
the nearest hundredth.
possible solutions:
1. 4.24 units 2. 8.49 units
3. 8.60 units 4. 12.00 units
Answers
Answer:
3. 8.60 units
Step-by-step explanation:
Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, [tex]d = \sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2}[/tex]
M(-2, 4) => (x1, y1)
N(5, -1) => (x2, y2)
Plug in the values into the formula
[tex] d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2} [/tex]
[tex] d = \sqrt{(7)^2 + (-5)^2} [/tex]
[tex] d = \sqrt{49 + 25} [/tex]
[tex] d = \sqrt{74} [/tex]
[tex] d = 8.60 units [/tex]
Answer:
Step-by-step explanation:
plzzz helpp ASAP 1. Why is it important to know what the limitations of a particular model are? A. so you can create a prototype based on your model B. so you don't make the mistake of confusing an object and a system C. so you can revise your model to represent every property of the real thing D. so you don't confuse properties of the model with properties of the real thing
2. Mathematical and computer models are similar because both involve _____. A. using calculations to represent an object or system B. comparisons between an object or system and something familiar C. building a complex object or system isolated from the natural world D. creating real-life objects that show features of the modeled object or system
3. Some models can illustrate a system. What does the term system refer to? A. a collection of interacting things B. a set of rules or laws about things C. something with advantages and limitations D. something illustrating parts of a real-life thing
4. J.J. Thomson's Plum Pudding Model is an example of _____. A. a picture B. an analogy C. a prototype D. a mathematical model
5. An advantage of describing a cell as being like a factory is that it _____. A. makes cells easier to understand B. shows the limitations of cells clearly C. prevents having to study the complexities of cells D. is cheaper to do experiments in a factory than on a cell
6. Scientists like using models because they are often _____ than the real thing. A. more accurate B. more enjoyable to study C. cheaper and more complex D. cheaper and easier to work with
7. An advantage of J.J. Thomson's Plum Pudding Model was that it _____. A. was a much less expensive way to study atoms B. simplified the calculations necessary to describe an atom C. clearly explained where electrons were located in an atom D. is much less expensive to bake a plum pudding than to look at an atom
8. A small clay model of a volcano is an example of _____. A. an analogy B. a prototype C. a physical model D. a computer model
9. An advantage of using a model instead of the real thing is that models _____. A. include better detail B. can be easier to change C. are much more interesting to study D. don't include any features of the real thing
Answers
Answer:
D. so you don't confuse properties of the model with properties of the real thing.
2-Mathematical and computer models are similar because both involve using calculation to represent an object or system
3- Some models can illustrate a system. What does the term system refer to
A. a collection of interacting things
4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy
5. An advantage of describing a cell as being like a factory is that it _____
A. makes cells easier to understand
6- C. cheaper and more complex
7-C. clearly explained where electrons were located in an atom
8-C. a physical model
9-B. can be easier to change
GOOD LUCK
[tex]Expand $(a + 2)(3a^2 + 12)(a - 2).$[/tex]
Answers
Answer:
3[tex]a^{4}[/tex] - 48
Step-by-step explanation:
Given
(a + 2)(3a² + 12)(a - 2)
= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL
=(a² - 4)(3a² + 12) ← expand using FOIL
= 3[tex]a^{4}[/tex] + 12a² - 12a² - 48 ← collect like terms
= 3[tex]a^{4}[/tex] - 48
In a school, 25% of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in a school?
Answers
Answer:
200 teachers
Step-by-step explanation:
If 25% is a fourth of the teacher staff, and this value is fifty, to find out how many teachers there are you just have to multiply by 4 to find out the 100%. So this means that 50*4= 200
Answer:
Total teachers = 200
Step-by-step explanation:
Let x be the total teachers in school
Basic Maths teachers = 25 % of x
Basic Maths Teachers = 50
=> 25% of x = 50
=> [tex]\frac{25}{100} x = 50[/tex]
=> [tex]\frac{x}{4} = 50[/tex]
Multiplying both sides by 4
=> x = 200
Let sin(−θ)=−35 and tanθ>0. What is the value of cos(−θ)?
Answers
Answer:
cos(−θ) = -4/5
Step-by-step explanation:
The correct question is as follows;
Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?
Solution as follows
Here in this question, we have that tanθ>0. what this means is that tan is positive here.
Now what do we notice about the value of the sin? For the negative angle to give a negative sin value, what this means is that the value of sin at the particular quadrant is positive, hence we can also conclude that sinθ>0
Now which quadrant do we have both sine and tangent positive? That is only the first quadrant.
Coincidentally, the value of cos here too is positive.
Since we are dealing with the first quadrant, we only need to find the value of theta.
Mathematically;
Sine theta = opposite/hypotenuse
Now ;
Cos theta = adjacent/hypotenuse
So therefore, to find the value of the adjacent , we need to employ the use of Pythagoras’ theorem
Mathematically, the square of the hypotenuse equals the sum of the squares of the adjacent and opposite
According to the values in this question
Adjacent = √(5)^2 -(3^2)
Adjacent = √(16) = 4
Thus ;
cos(−θ) = -4/5
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answers
Answer:
x = 20Step-by-step explanation:
To find x we use cosine
That's
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is x
The hypotenuse is 28
So we have
cos 43 = x / 28
x = 28 cos 43
x = 20.477
x = 20 to the nearest tenth
Hope this helps you
When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. Results. What is the value of ?
Answers
Answer:
0Step-by-step explanation:
Given the expression after 4 has been subtracted from both sides as
1/2 x = - 1/2 x, the original expression will be gotten by adding back 4 to both sides of the resulting expression as shown;
1/2 x + 4 = - 1/2 x + 4
x/2 + 4 = -x/2 + 4
Find the LCM of both equation;
(x+8)/2 = (-x+8)/2
Multiplying both sides by 2 will give;
x+8 = -x+8
Collecting the like terms;
x+x = 8-8
2x = 0
x = 0/2
x = 0
Hence, the value of x is 0
Answer:
0
Step-by-step explanation:
A carnival is selling ride tickets 5 for $6, 10 for $12, or 15 for $18. What is
the cost per ticket?
Answers
Answer:
one ticket is $1.20
Step-by-step explanation:
6 / 5 = 1.2, then check it by multiplying 1.2 x 5. Its easier than you think. Im positive im correct. All you have to do is one but if u want to make sure you can do all of them
Answer:
$1.20
Step-by-step explanation:
If you divide the price of a ticket bundle by the amount of tickets, you get the individual ticket price.
5 tickets for $6.
6/5 = 1.2
10 tickets for $12.
12/10 = 1.2
15 tickets for $18
18/15 = 1.2
Please help...................
Answers
Answer:
30 degrees
Step-by-step explanation:
25 cm in length, radius 3.5cm
Previous problem : From Andy's house to Billy's hometown you can travel by 3 roads. And to get from Billy's hometown to Willie's house you can travel by 5 roads. How many possible ways are there to travel from Andy's house to Willie's house? From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answers
Answer:
Andy's house to Billy's hometown 15 ways
Andy's house to Willie's hometown 2 ways.
Step-by-step explanation:
Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.
plz help will give brainliest
Answers
Answer:
77
Step-by-step explanation:
slope equation
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50 cm. Find the lengths of all sides.
Answers
Answer:
The base is 10cm. The other two sides are 20cm each
Step-by-step explanation:
I believe that "the base is twice shorter" means that the two equal sides of the iscosceles triangle are twice the length of the base.
Using the equation x + 2x +2x = 50 where x is the length of the base, we can simplify it to
5x=50. Then divide both sides by 5 to get the results:
x=10 for the base and
2x=20 for the other two sides.
6 root 5 plus 6 root 5
Answers
Answer:
12√5
Step-by-step explanation:
6√5 + 6√5 = (6 + 6) * √5 = 12 * √5 = 12√5.
Answer:
12 [tex]\sqrt{5}[/tex]
Step-by-step explanation:
When you add the surds which are the same type, (both are root 5), just add the integers before them together.
What is the domain of the function f(x) = x + 1/ x^2 - 6 + 8?
Answers
Answer:
The domain is all values but x=4 and x=2
Step-by-step explanation:
f(x) = (x+1) / ( x^2-6x+8)
Factor the function
f(x) = (x+1) / ( (x-4) ( x-2))
The domain of the function is all values of x except where the function does not exist
This is where the denominator goes to zero
(x-4) ( x-2) =0
Using the zero product property
x-4 =0 x-2 =0
x=4 x=2
The domain is all values but x=4 and x=2
Answer:
Hey there!
This, is the graph of your function:
Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.
Hope this helps :)
Giải phương trình: 3x^2 + 3x - 6 = 0
Answers
Answer:
x=1
x=-2
Step-by-step explanation:
(3x-3)(x+2)
x=1
x=-2
Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start text, space, k, g, end text of sliced salami.
Answers
Answer:
1kg of salami cost $9.1
Step-by-step explanation:
Hailey paid $13 for 1 3/7 kg of sliced salami.
What was the cost per kilogram of salami?
Cost of 1 3/7 kg of sliced salami=$13
1 3/7 kg=10/7kg
Let x=1 kg of sliced salami
10/7 kg of x=$13
$13=10/7x
13=10/7*x
x=13 ÷ 10/7
=13×7/10
=91/10
=9.1
x=$9.1
Therefore, 1kg of salami cost $9.1
A farmer has a rectangular piece of land measuring 840 meters by 396 meters. He divides it into equal square plots of equal size. What is the maximum area of one square plot?.......PLLLZZZ HELP
Answers
Answer:
The maximum area of one square plot is 144 [tex]m^2[/tex]
Step-by-step explanation:
Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:
[tex]840=2^3\,*\,3\,*\.5\,*\,7\\396=2^2\,*\,3^2\,*\,11[/tex]
therefore, both numbers can be divided by [tex]2^2\,*\,3=12[/tex]
Which then gives:
[tex]\frac{840}{12} =70\\\frac{396}{12} =33[/tex]
Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.
Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m
That is smaller plots of a total area 144 square meters
answer choice D) The graph crosses the y-axis at (0,5), increasing from x=-10 to x=2 and decreasing from x=2 to x=10
Answers
Answer:
(A) see the attachments
Step-by-step explanation:
The graph is constant from x=2 to x=10. This eliminates all descriptions except A, which is the correct one.
Marj needs to round 345.67, and she wants the result to be as large as possible. She has to round to the nearest thousand, the nearest hundred, the nearest ten, the nearest integer, the nearest tenth, or the nearest hundredth. What is the largest possible rounded value she can attain?
Answers
Answer:
Nearest ten
Step-by-step explanation:
Here, we want to know the highest value that can be attained if this number is rounded up to the decimal places given in the question.
The best way to go about this is rounding this number to each of the decimal places and see the one that has the largest value.
We proceed as follows;
Nearest hundred = 300
Nearest ten = 350
Nearest integer = 346
Nearest tenth = 345.7
Nearest hundredth = 345.67
It can be seen from all the above values that the highest value we have is the nearest ten
PLZZZZZZ HELP I NEED IT I AM GOING TO FAIL PLZZZZ I AM COUNTING ON YOU For which situations is it appropriate to use a sample? Select three options. A. What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck? B. What is the average number of rainbows each year in Honolulu? C. How many pedestrians would use a walkway built over a busy road? D. How many police cars are equipped with computers? E. What is the most popular car color in the teachers’ parking lot?
Answers
Answer:
b-What is the average number of rainbows each year in Honolulu?
c-How many pedestrians would use a walkway built over a busy road?
d-How many police cars are equipped with computers?
this is the answer
Step-by-step explanation:
E D G E N U I T Y
The situations it is appropriate to use a sample:
B. What is the average number of rainbows each year in Honolulu?
C. How many pedestrians would use a walkway built over a busy road?
D. How many police cars are equipped with computers?
What is a simple sample technique?Simple random sampling is a sampling technique in which each member of a population has an equal chance of being chosen, through the use of an unbiased selection method. The sample is chosen by a random method as every subject in the sample is assigned a number.
Why do we use sampling techniques?Sampling saves money by granting researchers to gather the same answers from a sample that they would receive from the population. Non-random sampling is significantly cheaper than random sampling because it lowers the cost associated with searchinh people and collecting data from them.
Learn more about Sample Techniques here
https://brainly.com/question/24466382
#SPJ2
Which is a correct first step in solving 5 – 2x < 8x – 3? 5 < 6x – 3 3x < 8x – 3 5 < 10x – 3 2 – 2x < 8x
Answers
Answer:
5 < 10x – 3
Step-by-step explanation:
The inequality is 5 - 2x < 8x - 3.
5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.
3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.
5 < 10x – 3 is correct because 8x + 2x = 10x.
2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.
Answer:
C on edg
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.
Answer:
D.
Step-by-step explanation:
Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.
Gwen is reading 30 pages per day, so her slope will be 30.
D. y = 30x + 15 will be her equation.
Hope this helps!
Help me please!!!!!!!!!!
Answers
Answer:
Option (4)
Step-by-step explanation:
In the picture attached,
m∠NLM = m∠LKN = 90°
In two similar triangles ΔLKN and ΔMKL,
By the property of similar triangles,
"Ratio of the corresponding sides of the similar triangles are proportional".
[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]
By substituting the values given,
[tex]\frac{h}{3}=\frac{2}{h}[/tex]
[tex]\frac{2}{h}=\frac{h}{3}[/tex]
Therefore, Option (4) will be the answer.