Answers
Answer:
B, C, D
Step-by-step explanation:
You want to identify the shapes that are similar to polygon K.
Right trianglePolygon K is a right triangle that has leg lengths in the ratio 4:2 = 2:1.
Polygons B, C, and D are right triangles similar to polygon K:
B is a dilation by a factor of 1/2C is a reflection of BD is a rotation of KOthersPolygons A and E are also right triangles, but have different ratios of leg lengths. In A they are 1/1, and in E they are 4/3. These triangles are not similar to triangle K.
__
Additional comment
Polygons similar to the same polygon are similar to each other. Rigid transformations such as reflection and rotation result in figures congruent to the original. Congruent figures are also similar.
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Related Questions
Find B: 6mi 9mi 5.3mi 8mi 10mi
Answers
The value of B by the given data is 8 mi.
We are given that;
Measurements= 6mi 9mi 5.3mi 8mi 10mi
Now,
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
To find B, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 10 mi and the other two sides are 6 mi and B. We can write:
10^2 = 6^2 + B^2
Simplifying, we get:
100 = 36 + B^2
Subtracting 36 from both sides, we get:
64 = B^2
Taking the square root of both sides, we get:
8 = B
Therefore, by Pythagoras theorem the answer will be 8 mi.
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Kim is in the tenth grade and takes a standardized science test. Use his test scores below to answer the question that follows. raw score 72 percentile 88 stanine 8 grade equivalent 12.1
Kim's test scores indicate that: he scored as well as or better than 72 of the test takers. 28% of the test takers scored better than he did. he would perform adequately in a twelfth grade science class. he scored as well as or better than 88% of the test takers. he answered 72% of the questions correctly.
Answers
Kim's test scores indicate that he scored as well as or better than 72% of the test takers, and 28% of the test takers scored better than him. His grade equivalent of 12.1 indicates that he would perform adequately in a twelfth grade science class.
His percentile of 88 indicates that he scored as well as or better than 88% of the test takers. His raw score of 72 does not directly indicate the percentage of questions answered correctly, but it can be assumed that he answered a majority of the questions correctly to achieve his score.
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I need help asap for the math
Answers
Find the volume of the pyramid above
Find the surface are of the pyramid above pls help
Answers
The volume of the pyramid is 18069333.33 cubic units
The area of the surface is 313280 square units
How to find the volume of the pyramidThe volume of the pyramid is solved using the formula
= 1/2 * base area * height
Where
base area = 440 * 440 = 193600
height = 280
volume of the pyramid = 1/3 * 193600 * 280
volume of the pyramid = 18069333.33 cubic units
The surface area
The surface area is calculated using the formula
= 4 * area of the triangles
= 4 * 1/2 * 440 * 356
= 313280 square units
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the least common multiple of the two numbers is 40 the ratio of the greater number is the to the lessor number is 5, 4
Answers
if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.
What is Least Common Multiple (LCM)?Least Common Multiple is the meaning of the abbreviation LCM.
The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.
It can also be computed using two or more numbers.
Finding the LCM of a given collection of numbers can be done in a variety of ways.
Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.
The smallest number among all numbers is called the least common multiple of two or more numbers.
According to our question-
The number LCM is equal to 40.
4 × 5 × x = 40
20 × x = 40
20x=40
x=2
The larger number is equal to 4 x=4(2)=8.
The smaller value is =5x=5(2)=10.
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Complete question-
The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?
A student taking a Calculus class makes the following statement:
”If f(1) > 0 and f(3) < 0, then there exists a number c, between 1 and 3 such that f(c) = 0.”
Is the statement true? If it’s true, explain why, if it is false, explain why, or give an example that disproves it.
Answers
Explanation:
Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.
Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.
f(1) > 0 means we're in the northern country since f(x) is positive here
then f(3) < 0 means we're now in the southern negative country
Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.
So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0
If I spend $10,000 on 6,000 products and sell each products for $15 how much would I make back?
Answers
Answer:
$400
Step-by-step explanation:
Which data set has a median of 15?
18, 9, 19, 16, 6, 20.13
09, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
O 7, 16, 14, 16, 11, 7, 17
Help please.
Answers
Median is the middle value.
Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.
Only 2 sets have the number 15 in them so those are the only two you need to look at.
The 3rd choice is the correct answer.
help me answer this please
Answers
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Share your own multi-step combination problem
Answers
My own multi-step combination problem is given below:
Amanda was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda create?How do you solve the multi-step combination?To solve this problem, Amanda need to use the formula for combinations and it is:
nCr = n! / (r! x (n-r)!)
where:
n = total number of items to select from
r is the number of items to select.
First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:
5C3
= 5! / (3! x (5-3)!)
= 10
Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be
4C2
= 4! / (2! x (4-2)!)
= 6
Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:
3C2
= 3! / (2! x (3-2)!)
= 3
To have the total number of dinner menus, we have to multiply these three numbers together:
= 10 x 6 x 3
= 180
Therefore, one can say that Amanda have 180 different dinner menus that she can be create.
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Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Find the area and perimeter of the triangle
Answers
Answer: 25.2
Step-by-step explanation: hope the is helps :D
ind the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x3, y = 4x, x20; about the x-axis
Answers
The Volume of the solid formed by the curves y = 4x³ , y = 4x, x ≥ 0 ; about the x axis is 64π/21 .
In the question ,
it is given that ,
the given curves are y = 4x³ , y = 4x, x ≥ 0 ,
we have to find the volume about x axis ,
the region formed by the given curves about x axis is shown below in the figure .
So , the Volume of the required region is
V = \(\int\limits^1_0 {\pi [(4x)^{2} - (4x^{3} )^{2} }] \, dx\)
On simplification ,
we get ,
V = \(\pi \int\limits^1_0 { [16x^{2} - 16x^{6} }] \, dx\)
V = π[ x³/3 - x⁷/7 ]¹₀
= 16π( 1/3 - 1/7 - 0 - 0)
= 16π((7 - 3)/21)
= 64π/21
Therefore , the required Volume is 64π/21 .
The given question is incomplete , the complete question is
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x³ , y = 4x, x ≥ 0 ; about the x-axis .
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The question is: Find a recurrence relation for number of ternary strings of length n that contain two consecutive zeros.
I know for ternary strings with length one, there are 0. For a length of 2, there is just 1 (00), and for a length of 3, there are 5 (000,001,002,100,200).
I did a similar problem, finding a relation for the number of bit strings of length n with two consecutive zeros:
an=an−1+an−2+2n−2
Since you can add "1" to the end of all the an−1
strings, "10" to all the an−2
strings, and "00" any string of size n−2
.
For the ternary string problem, I'm pretty sure you would replace the 2n−2
with 3n−2
, but confused about the other terms of the relation. My guess is that it would have the coefficient 2
in front of the other terms, since you can add either 1
or 2
to the end of an−1
and either 01
or 02
at the end of an−1
.
So I believe the answer for the relation is:
an=2an−1+2an−2+3n−2
Answers
The recurrence relation for the number of ternary strings of length n that contain two consecutive zeros looks correct.
You can see that the first few terms match with your calculations:
a_1 = 0 (no possible strings)
a_2 = 1 (only one possible string: "00")
a_3 = 5 (possible strings: "000", "001", "002", "100", "200")
To explain your reasoning:
You can add "1" or "2" to the end of all the a_{n-1} strings, so there are 2a_{n-1} possible strings with n-1 length that end with "1" or "2".
You can add "01" or "02" to the end of all the a_{n-2} strings, so there are 2a_{n-2} possible strings with n-2 length that end with "01" or "02".
To count the number of strings of length n that contain two consecutive zeros, you need to add the strings that end with "00". There are 3^{n-2} possible strings of length n-2 that you can append "00" to.
Therefore, the recurrence relation is:
a_n = 2a_{n-1} + 2a_{n-2} + 3^{n-2}
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<< <
Attempt 2 of 3
1 2 3
Simplify p(p-q) - g(q-p).
4
Answers
Answer:
\(p {}^{2} - q { }^{2} \)
Step-by-step explanation:
I hope this helps
A certain marine engine has cylinders that are 5.25 cm in diameter and 5.64 cm deep.Find the total volume of 4 cylinders (to the nearest hundredth). Use 3.14 as the approximate value of
Answers
Given:
A cylinder is given with 5.64 cm deep and 5.25 cm diameter.
Required:
Total volume of 4 cylinders.
Explanation:
Diameter of cylinder d = 5.25 cm
Height of cylinder or deepness of cylinder h = 5.64 cm
Radius r of cylinder is
\(r=\frac{d}{2}=\frac{5.25}{2}=2.625\text{ cm}\)volume of cylinder is
\(v=\pi r^2h=3.14*2.625^2*5.64=122.03\text{ cm}^3\)here we need volume of 4 cylinder
for this we just multiply v with 4
\(V=4v=4*122.03=488.121\text{ cm}^3\)Final Answer:
The volume of 4 cylinder is 488.121 cube cm
Find x. √11 X = √17 VIRI X
Answers
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.
Answers
Answer:
Most of the mens shoes in the data sets cost more than the womens shoes
Step-by-step explanation:
i did this and got it correct
After four years in college, Josie owes $33000 in student loans. The interest rate on the federal loans is 2.2% and the rate on the private bank loans is 4.4%. The total interest she owes for one year was $1,056.00.What is the amount of each loan?
Answers
Answer:
7986
Step-by-step explanation:
33000 - 1056 = / 4 = 7986
what property is (-9+2) x 0=0
Answers
Answer:
ZERO MULTIPLICATION PROPERTY
Step-by-step explanation:
Anything multiplied by 0 is 0
how to make a 70% into a fraction
Answers
Answer:
\(\frac{7}{10}\)
Step-by-step explanation:
A percent is out of 100.
\(70\% = \frac{70}{100}=\frac{70/10}{100/10} =\boxed{\frac{7}{10}}\)
I hope this helps.
geometry question, please help thank you.
Answers
Answer:
26. 138 , 27. x=45
Step-by-step explanation:
26.
QRP= 90° bcs it is tangent
QSP=90° bcs it is tangent
Four sided(Over all)= 360°
RQS= X
RPS= 42°
X + 90+90+42 = 360
X= 138°
27.
Over all= 360°
PRQ=PSQ
PRQ= 90° bcs it is tangent
360= 90+90+X+ 3X
X = 45°
A total of $48,000 is invested in two municipal bonds that pay 4.25% and 5.75% simple interest. The investor wants an annual interest income of $2400 from the investments. What amount should be invested in the 4.25% bond
Answers
yo whats i lowkey cant think rn 3/4 times 2 ??
Answers
Answer:
1.5 in a decimal
Step-by-step explanation:
i hope it helps
The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.
Answers
Answer:
Height is 25in
Base is 18in
Step-by-step explanation:
225=[x*(x+7)]/2=[x^2+7x]/2
450=x^2+7x
x^2+7x-450=0
(x+25)(x-18)=0
the opposite sides of a parallelogram are ? congruent
A: always
b: sometimes
c: never
Answers
A: always
If x=-4, FIND the value of the expression 3x^2-3x+1/x
Answers
Answer:
3 (-4)² - 3(-4) + 1/-4
= 3(16) + 12 - 1/4
= 48 + 12 - 1/4
= 59.75
What the area is this
Answers
Answer:
32 ft
Step-by-step explanation:
pls make me brainleist
If the scale is 3 inches = 4 kilometers. What is the amount of inches in 5 kilometers?
A 3.75 inches
B 3.75 kilometers
C 6.333.... inches
D 6.333....Kilometers
Answers
Answer:
3.75 inches is the correct answer..
Answer:
A. 3.75 inches
Step-by-step explanation:
The question is asking for the amount of inches not kilometers, so options B and D are automatically incorrect. I took the three inches and divided it by the four kilometers to kind inches per kilometer. The times the inches by five to get the correct answer;
3 inches = 4 kilometers
3 / 4 = 0.75
0.75 = 1 kilometer
0.75 x 5 = 3.75
3.75 inches = 5 kilometers
I hope this helps!