Answers
Answer:
Option B
Step-by-step explanation:
For the polygons to be similar, the dilation ratio must be uniform for all sides.
>> In option A, each side of the bigger hexagon is 8cm while each side of the smaller one is 5 cm. Thus, the dilation ratio is uniform at 8:5. Thus, they are similar polygons.
>> In option B, the longer side of the big rectangle is 12 inches and reduces to 10 inches. Which means a ratio of 6:5 whereas, the shorter side reduces from 7 to 6 which is a ratio 7:6. Since both ratios are different, then it means that both rectangles are not similar.
>> In option C, the hypotenuse of the big triangle is 15 m and reduces to 10 m in the small triangle. This gives a ratio of 3:2.
The perpendicular side of the big triangle is 9m which reduces to 6 m in the small one. This is a ratio of 3:2.
The horizontal side of the big triangle 12m which reduces to 8m in the small triangle. This is a ratio of 3:2.
Since all the ratios are same, then they are similar triangles.
>> In option D, each side of the bigger polygon is 7ft while each side of the smaller one is 4ft. Thus, the dilation ratio is uniform at 7:4. Thus, they are similar polygons.
Related Questions
You want to invest $300 in stock QRS. How many more shares of QRS will
you own at the end of the year if you use the DCA strategy instead of
investing all of your money at the start of the year?
Answers
Answer:
3 shares
Step-by-step explanation
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answers
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
Find the area of the triangle in the picture.
Answers
Answer:
A =16.25 cm^2
Step-by-step explanation:
The area of a triangle is given by 1/2 bh where b is the base and h is the height
A = 1/2 (5) * 6.5
A =16.25 cm^2
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
Answers
the area of a rectangle is the product of its length and width.
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
Answers
8/13 =500/x
(Cross multiply)
8x= 6,500
(Divide by 8 to isolate the variable)
x= 812.5
(Euros are paper money, not a coin system and they won’t give you more money than what you gave them so you must round down to the nearest whole number which is 812 Euros)
ANSWER:
812 Euros
Point D is located at (-2,-4) on a coordinate plane.
Part A
What are the coordinates of the point that is 5 units to the left of point D?
Part B
What are the coordinates of the point that is 5 units to the right of point D?
Answers
Answer:
Part A: (-7,-4)
Part B: (3,-4)
Step-by-step explanation:
1. Match the polygons with their appropriate clouds. A polygon can match to more than 1 cloud
Answers
all sides are not equal: rectangle
at least 1 right angle: square
at least one set of parallel sides: rectangle
The perimeter of a rectangular field is 238 yards. If the length of the field is 65 yards, what is its width?
Answers
Answer:
54 is the width
Step-by-step explanation:
65+65=130
238-130=108
108÷2=54
Answer:
The width of the rectangular is 54yards
Step-by-step explanation:
please mark me brainliest
The diameter of a circle is 4 meters. What is the circles circumference
Answers
Answer:
12.56m²
Step-by-step explanation:
So the formula for the circumference of a circle is π x diameter, so we just have to plug into our equation (we're using 3.14 as π):
3.14 x 4 = 12.56
So the circumference of your circle is 12.56 meters²
hope this helps:)
Do-Nothing #1 paid $8 for 2 paddle ball
paddles and 4 jigsaw puzzles. Do-Nothing #2
paid $18 for 3 paddle ball paddles and 10
jigsaw puzzles.
a.) How much did each jigsaw puzzle cost?
b.) How much did each paddle ball paddle cost?
Answers
If you came for a short answer
A=1.50
B=1
a) Each jigsaw puzzle costs $1.5.
b) Each paddle ball paddle costs $1.
Given that Do-Nothing #1 paid $8 for 2 paddle ball paddles and 4 jigsaw puzzles.
Do-Nothing #2 paid $18 for 3 paddle ball paddles and 10 jigsaw puzzles.
We need to find how much each cost.
Let's solve the problem step by step.
Let's assume the cost of each jigsaw puzzle is 'x' dollars, and the cost of each paddle ball paddle is 'y' dollars.
According to the given information:
The first person paid $8 for 2 paddle ball paddles and 4 jigsaw puzzles. So, we can write the equation as:
2y + 4x = 8............. eq(i)
The second person paid $18 for 3 paddle ball paddles and 10 jigsaw puzzles. So, we can write the equation as:
3y + 10x = 18............. eq(ii)
Now, we can solve these two equations to find the values of 'x' and 'y'.
To do so, we can multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the 'y' term:
6y + 12x = 24............. eq(iii)
6y + 20x = 36............. eq(iv)
Subtracting Equation 3 from Equation 4, we get:
6y + 20x - (6y + 12x) = 36 - 24
6y + 20x - 6y - 12x = 12
8x = 12
x = 12/8
x = 1.5
Now, substitute the value of 'x' back into Equation 1 to find 'y':
2y + 4(1.5) = 8
2y + 6 = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
So, the cost of each jigsaw puzzle is $1.5, and the cost of each paddle ball paddle is $1.
Learn more about System of equations click;
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Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green. (a) How many ways can this be done, if the order of the choices is relevant? X (b) How many ways can this be done, if the order of the choices is not relevant?
Answers
Number of ways to choose two colors of three colors when order of choice is relevant and relevant are 6 and 3 respectively.
What are permutations and combinations?Permutation refers to placing all members of a set in a particular order or choice of order. Combination is a way of selecting items from a collection, so the order of selection (unlike permutation) does not matter.
Given,
Three colors, red, blue and green
a) Number of ways of choosing 2 colors out of three colors when order matter
= ³p₂
= 3!/(3-2)!
= (3×2×1)
= 6
b) a) Number of ways of choosing 2 colors out of three colors when order does not matter
= ³C₂
= 3!/(3-2)!2!
= (3×2×1)/(2×1)
= 3
Hence, when 6 and 3 are the number of ways to choose 2 colors from three colors when order matter and dose not matter respectively.
Learn more about permutations and combinations here:
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MATHS
1. Caleulate the area of a rectangle of length
250cm and width 200cm.
2. A square room is 650cm long. Find the area in:
(i) square centimeter (ii) square metres
Answers
Answer:
1. 50000
2.
i 274625000cm
ii 274.625m
Step-by-step explanation:
1. Area of a rectangle: length*width
250*200=50000cm
2. Volume of a cube: length^3
i 650^3=274625000cm
ii 650 cm=6.5m; 6.5^3=274.625m
One number exceeds another by 9. The sum of the numbers is 35. What are the numbers? The numbers are (Use a comma to separate answers.
Answers
9514 1404 393
Answer:
13, 22
Step-by-step explanation:
Let s represent the smaller. The sum of the numbers is ...
s + (s+9) = 35
2s = 26 . . . . . . subtract 9
s = 13
s+9 = 22
The two numbers are 13 and 22.
_____
Additional comment
As you can see, the smaller number is half the difference of the sum and difference: s = (35-9)/2. This is the generic solution to a "sum and difference" problem.
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answers
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
lus
Find the expected value of a
random variable x having the
following probability distribution.
5
1
0
1
8
Probability
12
16
U22
112
1
2
Answers
Well formatted version of question:
Find the expected value of a random variable x having the following probability distribution.
x (-5,-1,0,1,5,8)
Probability (.12, .16, .28, .22, .12, .1)
Answer:
0.86
Step-by-step explanation:
The expected value E(X) is calculated as :
E(X) = Σ(x * p(x))
(-5)(0.12) + (-1)(0.16) + (0)(0.28) + 1(0.22) + 5(0.12) + 8(0.10)
-0.6 + -0.16 + 0 + 0.22 + 0.6 + 0.8
= 0.86
The baseball field is 9/10 of a mile from Benson’s house. Benson runs 3/10 of a mile and walks 4/10 of a mile on his way to the field. How much farther does Benson need to go to get to the baseball field?
Answers
Answer:
2/10 I believe
Step-by-step explanation:
3/10 + 4/10= 7/10
9/10 - 7/10 = 2/10
Mr. Harris ran 2 miles in 14.5 minutes. Ms. Mullen ran 2.5 miles in 16 minutes. Ms. Hubbard ran 3.5 miles in 24 minutes.
A. Ms. Mullen was the fastest.
B. Ms. Hubbard was the fastest.
C. Mr. Harris was the fastest.
Answers
Answer:
A. Ms harris was the fastest considering she finished 2.5 miles under 14.5 minutes
Step-by-step explanation:
1.
Which of the following is acute angle?
Answers
HELP PLZ MATH IM FAILING
Answers
Answer:
Hello! In this picture I marked the new dot for that point and reflected it across the x axis!
The original coordinates are: 5, -3
and the new coordinates are: 5, 3
Hope that helps!
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answers
Answer:
It's Sin.
Thumbs-up (^_-)
Step-by-step explanation:
the answer is A ,since the unknown side is opposite while the known side is the hypotenuse
Help please! I think I wrote the rectangle right but I do not get the questions!
Answers
Step-by-step explanation:
perimeter = 2×(7+5) = 2×12= 24 units
area = 7×5 = 35 sq. units
click image to see it all:))))
Answers
9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
A pathologist has been studying the frequency of bacterial colonies within the field of a microscope using samples of throat cultures from healthy adults. Long-term history indicates that there is an average of 2.90 bacteria colonies per field. Let r be a random variable that represents the number of bacteria colonies per field. Let O represent the number of observed bacteria colonies per field for throat cultures from healthy adults. A random sample of 100 healthy adults gave the following information:
r 0 1 2 3 4 5 or more
O 11 14 30 17 22 6
The pathologist wants to use a Poisson distribution to represent the probability of r, the number of bacteria colonies per field. The Poisson distribution is given below.
P(r) = e^−λλr / r!
Here λ = 2.90 is the average number of bacteria colonies per field.
Required:
Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.
Answers
Answer:
P(0) = 0.055
P(1) = 0.16
P(2) = 0.231
P(3) = 0.224
P(4) = 0.162
P(5 or more) = 0.168
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Here λ = 2.90 is the average number of bacteria colonies per field.
This means that [tex]\mu = 2.90[/tex]
Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.
[tex]P(0) = \frac{e^{-2.9}*(2.9)^{0}}{(0)!} = 0.055[/tex]
[tex]P(1) = \frac{e^{-2.9}*(2.9)^{1}}{(1)!} = 0.16[/tex]
[tex]P(2) = \frac{e^{-2.9}*(2.9)^{2}}{(2)!} = 0.231[/tex]
[tex]P(3) = \frac{e^{-2.9}*(2.9)^{3}}{(3)!} = 0.224[/tex]
[tex]P(4) = \frac{e^{-2.9}*(2.9)^{4}}{(4)!} = 0.162[/tex]
5 or more:
This is
[tex]P(X \geq 5) - 1 - P(X < 5)[/tex]
In which:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.055 + 0.16 + 0.231 + 0.224 + 0.162 = 0.832[/tex]
[tex]P(X \geq 5) - 1 - P(X < 5) = 1 - 0.832 = 0.168[/tex]
So
P(5 or more) = 0.168
What is the y-intercept of y= 2/3x+2
1.(2,3)
2.(3,2)
3.(0,2)
4.(-3,0)
Answers
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answers
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
Describe the end behavior of the graph of the function.
hx()=−3x4+4x3+10x2−8x+7
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
b.hx()→−∞as x→−∞and hx()→∞as x→∞
c.hx()→∞as x→−∞and hx()→−∞as x→∞
d.hx()→∞as x→−∞and hx()→∞as x→∞
Answers
9514 1404 393
Answer:
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
Step-by-step explanation:
The negative leading coefficient tells you the function tends toward -∞ as x gets large. The even degree tells you it goes the same direction as x tends toward -∞.
h(x) → -∞ for x large or small . . . . matches A
What are the solutions of this quadratic equation?
Please help
Answers
Answer:
B
Step-by-step explanation:
Use quadratic formula
Four customers came into a bakery. The first one said, "give me half of all the donuts you have left, plus half a donut more." The second customer said, "give me half of all the donuts you have left, plus half a donut more." The third customer said, "give me three donuts." The last customer said, "give me half of all the donuts you have left, plus half a donut more." This last transaction emptied the display case of donuts. How many donuts were there to start with?
Answers
Step-by-step explanation:
Which pair of functions are inverses of each other?
Answers
Answer:
D.f(x)=2x-9and g(x)=X+9/2
Urn 1 contains 4 blue tokens and 9 red tokens; urn 2 contains 12 blue tokens and 5 red tokens. You flip a coin twice and if you see head two times, then you pick urn 2 else (if you see at least once the tail) you pick urn 1 and draw out a token at random from that urn. Given that the token is blue, what is the probability that the token came from urn 2
Answers
Answer:
0.433
Step-by-step explanation:
From the given information;
Let represent Urn 1 to be Q₁ ;
Urn 2 to be Q₂
and the event that a blue token is taken should be R
SO,
Given that:
Urn 1 comprises of 4 blue token and 9 red tokens,
Then, the probability of having a blue token | urn 1 picked is:
[tex]P(R|Q_1) = \dfrac{4}{4+9}[/tex]
[tex]= \dfrac{4}{13}[/tex]
Urn 2 comprises of 12 blue token and 5 red tokens;
Thus [tex]P(R| Q_2) = \dfrac{12}{12+5}[/tex]
[tex]=\dfrac{12}{17}[/tex]
SO, if two coins are flipped, the probability of having two heads = [tex]\dfrac{1}{4}[/tex]
(since (H,H) is the only way)
Also, the probability of having at least one single tail = [tex]\dfrac{3}{4}[/tex]
(since (H,T), (T,H), (T,T) are the only possible outcome)
Thus: so far we knew:
[tex]P(Q_2) = \dfrac{1}{4} \\ \\ P(Q_2) = \dfrac{3}{4}[/tex]
We can now apply Naive-Bayes Theorem;
So, the probability P(of the token from Urn 2| the token is blue) = [tex]P(Q_2|R)[/tex]
[tex]P(Q_2|R) = \dfrac{P(R \cap Q_2)}{P(R)} \\ \\ = \dfrac{P(R|Q_2) * P(Q_2)}{P(R|Q_2) \ P(R_2) + P(R|Q_1) \ P(Q_1)} \\ \\ \\ \\ = \dfrac{\dfrac{12}{17} \times \dfrac{1}{4} }{\dfrac{12}{17} \times \dfrac{1}{4} + \dfrac{4}{13} \times \dfrac{3}{4}} \\ \\ \\ = \dfrac{13}{30}[/tex]
= 0.433