The sum of A² and B² (45.53) is not equal to C² (37.21). Therefore, the blocks cannot form a right-angled triangle, and the tower will not be stable.
To determine whether the tower will be stable, we need to check if the lengths of the blocks satisfy the conditions for forming a right-angled triangle. According to the Pythagorean theorem, in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Let's label the blocks:
Blue block: Side A = 4.3 inches
Orange block: Side B = 5.2 inches
Red block: Side C = 6.1 inches
To form a stable tower, we need to check if the sum of the squares of the two shorter sides is equal to the square of the longest side.
Calculating the squares:
A² = 4.3² ≈ 18.49
B² = 5.2² ≈ 27.04
C² = 6.1² ≈ 37.21
Now, we need to find the longest side. Let's compare the squares:
C² (37.21) is the largest.
According to the Pythagorean theorem, for a right-angled triangle, the sum of the squares of the two shorter sides must be equal to the square of the longest side. In this case, the sum of the squares of A² and B² should be equal to C².
A² + B² ≈ 18.49 + 27.04 ≈ 45.53
However, the sum of A² and B² (45.53) is not equal to C² (37.21). Therefore, the blocks cannot form a right-angled triangle, and the tower will not be stable.
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What is the area of a square with a perimeter of 44 mm?
Answer:
The area of the square is 121mm
Step-by-step explanation:
To solve this we need two basic formulas:
P = 4s
A = [tex]s^{2}[/tex]
P = perimeter
s = the length of the side
Since the shape is a square all the sides are the same length. To get the value of 's' we need to isolate:
P = 4s
44 = 4s
44 / 4 = 4s / 4
11 = s
Now plug in the answer for 's' to get the area:
A = [tex]s^{2}[/tex]
A = [tex]11^{2}[/tex]
A = 121
Hope this helps.
If tan(t)=4/9 what is tan(t−π)
The value of tan(t−π) is 4/9.
According to the statement
we have given that tan(t)=4/9 and we have to find the value of tan(t−π).
So,
tan(t−π) -(1)
take negative sign common from equation (1) it then
tan(t−π) = -tan(-t+π)
and we know that the according to the mathematics formula it become
tan(-t+π) is -tan t
then
tan(t−π) = -(-tan t)
it becomes
tan(t−π) = tan t
then its value becomes
tan(t−π) = tan(t)=4/9.
because we have given that the value of tan t is tan(t)=4/9.
So, The value of tan(t−π) is 4/9.
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David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7 8 9 10
Bill ($) 92 106 129 115 100 84 110 156 98 87
Would you choose to use a histogram, a circle graph, or a line graph to display the data? Explain your choice. Then make a display.
The preferred choice would be a line graph (drawn in the figure attached) for displaying the data.
Why a line graph is the preferred option here?
For displaying the data of David's family's grocery bills for the past 10 weeks, a line graph is the most preferable choice since it would display the data's trend for us. This is similar to how we would notice times when there were huge costs.Another reason for choosing a line graph is that it is very easy to comprehend. It is simple to observe how the data are related and how they have changed.What is a line graph?
An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.
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Help pls
Use the data from the table to create a scatter plot. Plot all the data points from the table.
Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8
Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4
The attached graph represents the scatter plot of the table of values
How to create the scatter plot?The table of values is given as:
Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8
Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4
Rewrite the table as:
x 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8
y 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4
Next, we plot the values on a graph
See attachment for the scatter plot
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Kelly is 5'4" tall. She measured her shadow one morning to be 8'7". She then measured the shadow of her house. The house shadow was 42'3". How tall is the
actual house? (inches rounded to the hundredths.)
The height of the actual house is 26'.26" .
How to find the height of the house using ratio?A ratio indicates how many times one number contains another.
Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.
Therefore,
height of Kelly / x = height of Kelly shadows / height of house shadow
Hence,
where
x = actual height of the house
5.4 / x = 8.7 / 42.3
cross multiply
42.3 × 5.4 = 8.7x
Therefore,
228.42 = 8.7x
divide both sides by 8.7
228.42 / 8.7 = 8.7x / 8.7
x = 26.2551724138
Therefore, the height of the actual house is 26'.26"
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Here is a rail way timetable
What time does the first train get to oakengats?
The time that the first train would get to Oakengats is 08:15.
How to find the time of arrivalThe time of arrival of the first train can be gotten from the table.
The first entry has a blank space. This would have been the time of arrival for the train.
After the blank space, the next time is when the fits train got to this destination. That is at 08:15
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Which describes Which is a perfect square?
72
81
90
99
Answer:
81
Step-by-step explanation:
A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.
[tex]9^{2} = 81[/tex]
Answer: 81
Step-by-step explanation:
81 can be perfectly square rooted into 9. [tex]\sqrt{81}=9[/tex]
6,000 people voted in a town election. Of the two candidates, the winning candidate received 4,000 more votes than the losing candidate. How many votes did the winner get?
Answer:
Step-by-step explanation:
let x = the number of votes of the first person
winner = x + 4000
x+ x+4000 = 6000
2x=2000
x=1000
first person = x = 1000
winner = x+4000 = 5000
The winner got 5000 votes
Suppose the variable x is represented by a standard normal distribution. What value of x is at the 40th percentile of the distribution
The value value of x is at the 40th percentile of the distribution is 0.65.
The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation
Given:- μ[tex]_X[/tex]=0,σ[tex]_X[/tex]=1
We can standardize the random variable: Z=(X−μx)/σx,
Then the equation is P(X≤ x )=Φ(x−μx/σx)=Φ(x−0/1)=0.4
Inverse function
Ф[tex]\\^{-1}[/tex](0.4) = [tex]\frac{x-0}{1}[/tex]
From the table we get,
Ф[tex]^{-1}[/tex] = 0.65
Thus
[tex]\frac{x-40}{10}[/tex] = 0.65
x -0 = 0.65
x = 6.5
Thus the value value of x is at the 40th percentile of the distribution is 0.65
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Need help with explanation on solving this problem.
Answer:
x=27.80
Step-by-step explanation:
we know that cosA=base/hypotaneous
so,
[tex]cos44 = \frac{20}{x} \\ x = \frac{20}{cos(44)} \\ = \frac{20}{0.7193...} \\ = 27.80 [/tex]
Which algebraic expression has a term with a coefficient of 9?
• A. 6 + X- 9
• B. 6x - 9
C. 6(x + 5)
• D. 9x ÷ 6
[tex]\textbf{ Heya !}[/tex]
Your Answer Is:-
[tex]\sf{9x\div6}[/tex]
because,
it has a coefficient of 9 (a number that comes before a variable)
`hope that was helpful to u ~
The answer is C, how is it solved?
Answer:
(C) 0
Step-by-step explanation:
As always, the first step is to read and understand the question. You are asked to find the smallest number in the set {M₁, M₂, M₃}. Each of these values is defined to be the largest number in the corresponding sets S₁, S₂, S₃.
Set MThe numbers in each set are ordered smallest to largest, so the largest number in each set is the one on the right.
The largest number in S₁ is 8, so M₁ = 8.
The largest number in S₂ is 6, so M₂ = 6.
The largest number in S₃ is 0, so M₃ = 0.
This means the set M is ...
M = {M₁, M₂, M₃} = {8, 6, 0}
The question asks for the smallest number in set M. Clearly, it is 0.
The smallest number in the set is 0.
The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in cubic inches. what is the volume when x = 5
The volume of the box without the lid is 500 cubic inches.
What is volume?The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.
Another way to think of volume is as the amount of space a three-dimensional object takes up.
Calculation for the volume of the box-
The volume of a box without a lid is given by the formula v = 4x(10-x)².
Where,
'x' is a length in inches, and
'v' is the volume in cubic inches.
The volume when x = 5 inches.
Substitute the value of 'x' in the formula of volume;
v = 4×5(10-5)²
= 20×5²
v = 500
Therefore, the volume of a box without a lid is 500 cubic inches.
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P(Music/Drama) round to the nearest percent
Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.
These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:
P = 25/100 = 25%.
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Brass is made up of copper and zinc. 100 grams of brass contains 20 grams of zinc.
A) Workout the weight of zinc in 60 grams of brass.
Brass contains 4 parts by weight of copper to 1 part by weight of zinc.
B) Work out the weight of copper in 350 grams of brass.
Answer:
A. 12 grams Zn
B. 280 g of copper.
Step-by-step explanation:
100 grams of brass
20 grams of zinc
100 grams of brass has 20 grams of Zn.
20/100 = 0.200 Zn 20% Zn and 80% copper.
A. (60 g brass)*(0.2) = 12 grams Zn
B. (350 g brass)*(0.80) = 280 g of copper.
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
Answer:
Step-by-step explanation:
43
I dont exactly know if this is correct sorry if its wrong
The 3 stages representing the hierarchy of fluency progression including Automaticity, are embedded into which strand of the B.E.S.T. mathematics standards
The three stages that have to do with fluency, progression and automaticity are found in the Number Sense and Operations .
What is the number sense and operation strand of mathematics?This is the part of mathematics that is known to teach the student basic ways to carry out number operations in mathematics. This has to do with representation of numbers as well as solving for the existing relationships in these numbers.
Having a sense of numbers is a very important ability skill that has to be developed early is students to enable them progress in the subject.
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Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. What is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection
The probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.
What is probability?
Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.To find the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection:
Given that Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. We are to calculate the probability that Rita will need to pick at least 5 beads before she picks a grey bead from her collection.Prob for drawing at least 5 beads before she picks a grey bead from her collection= 1-Prob for drawing at least one grey beed in the first 5 draws.(Because these two are complementary events)number of grey beads drawn in the first 5 trials is[tex](5, \frac{80}{80+160+240} ) = (5,\frac{1}{6} )[/tex]Prob for drawing at least one grey beed in the first 5 draws.=1-Prob of no greyHence required prob=P(X=0 in the first 5 draws)[tex](1-\frac{1}{6})^{5}\\0.4018[/tex]The 6th beeds onwards can be grey also.The nearest answer is (C) 0.45Therefore, the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.
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The question you are looking for is given below.
Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. What is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection?
(A) 0.05
(B) 0.10
(C) 0.45
(D) 0.55
How many 3-coin combinations exist if we can choose from
pennies, nickels, dimes, and quarters?
select one:
a. 20
b. 4!
o
c.4.
o
d. 12
There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
How to solve probability combinations?The coins to select from are nickels, dimes, quarters, and half-dollars;
Thus;
Coins (n) = 4
The number of coin to select is:
Coin (r) = 3
The coin combination is then calculated using:
Combination = ⁴C₃
Apply the combination formula, we have;
Combination = 4
Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
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Answer:
12
Step-by-step explanation:
took the exam
marca la respueta correcta el termino general de la sucesion 3,6,9,12,15, es.: a-2n b-3n c-n2 ayudaaaaa
The greatest question: what is the square root of nine. i don't know the answer:)
3 is the square root of nine.
The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is \sqrt{ } square root of, end square root . Finding the square root of a number is the opposite of squaring a number.
To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction. For example, √(4/16), can be written as √4/√16.
(3)^2 = 9
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polynomial>>>look at pick fundamental theorem
Answer:
1
Step-by-step explanation:
The factor (x³ - 1) is not repeated.
True or false, if a domain is restricted to x > 1, then there will be an open circle at x = 1.
Answer:
Step-by-step explanation:
true
Segment ab falls on line 6x 3y = 9. segment cd falls on line 4x 2y = 8. what is true about segments ab and cd? they are parallel because they have the same slope of −2. they are perpendicular because they have slopes that are opposite reciprocals of −2 and one half. they are parallel because they have the same slope of 2. they are perpendicular because they have opposite reciprocal slopes 2 and negative one half.
They are parallel because they have the same slope of 2.
How to determine the true statements about the segments?The segments are given as;
AB => 6x - 3y = 9
CD => 4x - 2y = 8
We start by making y the subject of both equations
AB => 6x - 3y = 9
-3y = -6x + 9
Divide through by -3
y = 2x - 3
CD => 4x - 2y = 8
-2y = -4x + 8
Divide through by -2
y = 2x - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope of the line.
By comparing the three equations, we have:
m1 = 2
m2 = 2
Parallel lines have equal slopes.
This means that the lines AB and CD are parallel lines
Hence, they are parallel because they have the same slope of 2.
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Answer: They are parallel because they have the same slope of 2.
Step-by-step explanation:vvvvvvvvvvvvvvvvvvvvv
What is the length of an edge of a cube whose total surface area is equal to 150 square feet?
The length of an edge of a cube is 5 feet.
What is cube?In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Total surface area of a cube = 6[tex]l^{2}[/tex]
Given that,
Total surface area of a cube = 150 square feet
Total surface area of a cube = 6[tex]l^{2}[/tex]
[tex]\Rightarrow[/tex] 150 = 6[tex]l^{2}[/tex]
[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = [tex]\frac{150}{6}[/tex]
[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = 25
[tex]\Rightarrow[/tex] l [tex]=\sqrt{25}[/tex]
[tex]\Rightarrow[/tex] l = 5 feet
Hence, the length of an edge of a cube is 5 feet.
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A has the coordinates (-4, 3) and B has the
coordinates (4, 4). If Do,1/2(x, y) is a dilation of AABC,
what is true about the image AA'B'C'? Check all that
apply.
If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image
△A'B'C' exist AB exists parallel to A'B'.
What is a coordinate plane?Any point in the coordinate plane exists directed by a point (x, y), where the x value exists the position of the point with respect to the x-axis, and the y value exists the position of the point with respect to the y-axis.
A dilation exists a transformation [tex]$D_{o,k} \frac{1}{2} (x, y)[/tex], with center O and a scale factor of k that exists not zero, that maps O to itself and any other point P to P'. The center O exists as a fixed point, P' exists as the image of P, and points O, P, and P' exist on the exact line.
In a dilation of [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex], the scale factor, 1/2 exists mapping the original figure to the image in such a manner that the distances from O to the vertices of the image exist half the distances from O to the original figure.
Also, the size of the image exists half the size of the original figure.
If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image △A'B'C' exist AB is parallel to A'B'.
[tex]$D_{o,k} \frac{1}{2} (x, y) = (\frac{1}{2} x, \frac{1}{2}y)[/tex]
The distance from A' to the origin exists half the distance from A to the origin.
Therefore, the correct answer is option A). △ A'B'C' exist AB is parallel to A'B'.
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Mary performs this calculation. (3.0) (2.0). how many significant figures should her answer have? one two four six
Answer:
2
Step-by-step explanation:
There are only 2 numbers in the final answer (6.0), so you just need 2 significant figures.
HELP FAST‼️‼️
Jessenia usually earns $25 each week.
Last week, she received an extra $20 in
bonus. What percent of her usual weekly
income was her total income last week?
Normal income: 25 $
Last week's income: 25 + 20: 45 $
% = Last week's/normal = 45/25 ×100 =180 %
What is the scale factor for Triangle XYZ to Triangle UVW?
A. 1/2
B. 2
C. 1/4
D. 4
someone please help asap.. what even is this. ill give brainliest
Given: line AC is perpendicular to line BC
Prove: the slopes of lines AC and BC is -1
Complete the Proof.
first blank: angle addition; definition of perpendicular lines; definition of congruent angles; definition of a straight angle.
second blank: addition property of equality; subtraction property of equality; transitive property of equality; substitution property of equality.
third blank: transitive property of equality; substitution property of equality; definition of slope; corresponding sides of similar triangles are proportional.
fourth blank: multiplication property of equality; substitution property of equality; addition property of equality; transitive property of equality.
Congruency property relates to two or more triangles with similar dimensions, and internal angles. So that the required statements to complete the proof are:
1. definition of a straight angle.
2. subtraction property of equality
3. corresponding sides of similar triangles are proportional
4. transitive property of equality.
The intersection of two or more lines forms a number of angles which depends on the number of lines involved. These angles formed may have similar or different properties.
When two or more triangles have similar lengths of sides and measure internal angles, it can be said that they are congruent. Thus they have some common properties.
Therefore, the appropriate statements to answer the given question are stated below:
Definition of a straight angle.Subtraction property of equality.Corresponding sides of similar triangles are proportional.Transitive property of equality.For more clarifications on the properties of congruent triangles, visit: https://brainly.com/question/15835221
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