help on a pythagorean theorem essay
The ladder is 10 feet long, and the base of the ladder at least 3 feet away from the wall the ladder is leaning on.
So, By making a right triangle, the ladder will represent the hypotenuse of the triangle
So, we need to find how high will the ladder reach up?
So, using a Pythagorean theorem
which stated that at the right triangle, the sum of the squared of the sides adjacent to the right angle is equal to the squared of the hypotenuse
so, let the height = h , the length of the ladder = 10 ft
and the base is 3 feet away from the wall
The ladder will represents the hypotenuse of the triangle
So,
\(10^2=3^2+h^2\)\(h^2=10^2-3^2=100-9=91\)\(h=\sqrt{91\text{ }}=9.54\text{ (rounded to 2 decimal points)}\)
So, The height that can the ladder reach up is 9.54 feet
Write three DIFFERENT properties that are equivalent to 3 4
Answer:
6/8
9/12
12/16
Step-by-step explanation:
What are the next numbers in the series 1, 2, 3, 0, 1, 2, -1
The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........
What is number Series?This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.
From the question:
1, 2, 3, 0, 1, 2, -1
The pattern is:First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.
Calculating the pattern we have:1 +1 = 2
2 + 1 = 3
3 -3 =0
0+1 = 1
1 + 1 = 2
2 -3 =-1
-1 + 1 =0
0 + 1 =1
1 - 3 = -2
-2 + 1 = -1
-1 + 1 = 0
0 -3 = -3
-3 + 1 = -2
-2 + 1= -1
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-4,3 rotated 180 degrees clockwise
Answer:
Step-by-step explanation:
It will be (4,-3) because when you do 180 degrees clockwise you are just doing the opposite of your coordinates. For exzample if you had the point m which is (-1,4) then you would rotate it 90 degrees clockwise on the graph which would be (1,4). now take the point positive (1,4) and rotate it 90 degrees again to get (1,-4). That will be rotating 180 degrees clockwise altogether.
Formula for parallelogram law of addition
Answer:
answers?
Step-by-step explanation:
what is this for brainliested
The solution of the expression 1/2 divided by 1/3 is 1.5.
What is an expression?The mathematical phrase combines numerical variables and operations symbolised by the signs for addition, subtraction, multiplication, and division.
The representation of variables, operations, functions, operations, brackets, punctuation, and grouping can all be done using mathematical symbols. They can also signify other characteristics of the logical grammar, such as the operation order.
Given that,
use the tape diagram to represent and find the value of 1/2 divided by 1/3.
Thus, the value of 1/2 divided by 1/3 is calculated as:
or, E = ( 1 / 2 ) / ( 1 / 3 )
or, E = 1.5
Therefore, the solution of the expression 1/2 divided by 1/3 is 1.5.
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What is the Distance between (-5, -5) and (-9, -2)
Answer:
4,3
Step-by-step explanation:
Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
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Help me and u get 70 points you gotta get it right
Answer:
The answer is D
Step-by-step explanation:
Answer:
D. they have 2 pairs of parallel sides.
Step-by-step explanation:
They have 4 equal sides. (square or rhombus)
They have 4 right angles (square or rectangle)
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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what is the area of ABC
Answer:
see the attached figure to better understand the problem
we know that
the area of the triangle ABC is equal to the area of the triangle 1
The area of the triangle 1,2,3 and 4 is the area of a rectangle
The area of the rectangle is equal to
Find the area of the triangle 2
Find the area of the triangle 3
Find the area of the triangle 4
Find the area of the triangle ABC
therefore
the answer is
the area of the triangle ABC is equal to
Step-by-step explanation:
(-5x+4) + -1 (x - 1)
Answer:
-6x+5Step-by-step explanation:
I assume you want to simplify this expression.
First take away the parenthesis.
-5x+4+-1x+1
Now combine like terms.
-5x+-1x=-5x-1x=-6x.
4+1=5
So -6x+5 is your answer.
what is the answer to 3/4 divided by 2 and 1/2 as a fraction
Answer:
3/10
Step-by-step explanation:
160 students went on a field trip. Five buses were filled and 15 students traveled in cars. How many students were in each bus?
Each bus had ____ students.
Which sequences are geometric? Check all that apply.
–2, –4, –6, –8, –10, …
16, –8, 4, –2, 1
–15, –18, –21.6, –25.92, –31.104, …
4, 10.5, 17, 23.5, 30, …
625, 125, 25, 5, 1, …
B) 16, -8, 4, -2, 1
C) -15, -18, -21.6, -25.92, -31.104
E) 625, 125, 25, 5, 1
==================================================
Explanation:
Part (A)
Divide each term over its previous term. If each result is the same, then we have a geometric sequence.
(term2)/(term1) = (-4)/(-2) = 2
(term3)/(term2) = (-6)/(-4) = 1.5
We can stop here since we got a different result.
This sequence is not geometric.
--------------------------------------
Part (B)
Same idea as part (A)
(term2)/(term1) = (-8)/16 = -0.5
(term3)/(term2) = 4/(-8) = -0.5
(term4)/(term3) = (-2)/4 = -0.5
(term5)/(term4) = 1/(-2) = -0.5
We get the same result each time. The common ratio is r = -1/2 = -0.5. This sequence is geometric.
--------------------------------------
Part (C)
(term2)/(term1) = (-18)/(-15) = 1.2
(term3)/(term2) = (-21.6)/(-18) = 1.2
(term4)/(term3) = (-25.92)/(-21.6) = 1.2
(term5)/(term4) = (-31.104)/(-25.92) = 1.2
This sequence is geometric since each result is the same. The common ratio is r = 1.2
note: 6/5 = 1.2
--------------------------------------
Part (D)
(term2)/(term1) = (10.5)/4 = 2.625
(term3)/(term2) = (17)/(10.5) = 1.619
We don't get the same result, so we can stop here. This sequence is not geometric.
--------------------------------------
Part (E)
(term2)/(term1) = (125)/(625) = 0.2
(term3)/(term2) = (25)/(125) = 0.2
(term4)/(term3) = (5)/(25) = 0.2
(term5)/(term4) = (1)/(5) = 0.2
The common ratio is r = 0.2 or r = 1/5
This sequence is geometric.
Answer:
C) -15, -18, -21.6, -25.92, -31.104
E) 625, 125, 25, 5, 1
Step-by-step explanation:
The table shows the results of a random survey about the mayor's performance. The mayor
is running for re-election. A total of 2,400 people are expected to vote in the election. Based
on the data, which is the most likely result?
Answer:
the mayor will lose in a close race
Step-by-step explanation:
Anton thinks that glucose is a reactant of photosynthesis, but his classmate Jamila disagrees. Who is correct, and why?
Anton is correct because glucose is a substance that is present before the chemical reaction of photosynthesis takes place.
Anton is correct because glucose is a substance that is formed from the chemical reaction of photosynthesis.
Jamila is correct because glucose is a product, not a reactant, of photosynthesis.
Jamila is correct because glucose is not involved in the chemical reaction of photosynthesis.
Jamila is correct because glucose is a product, not a reactant, of photosynthesis. The correct option is C.
How to illustrate the information?Jamila is right because glucose is a byproduct of photosynthesis rather than a reactant. In plants, a chemical process known as photosynthesis uses water, carbon dioxide from the atmosphere, and other reactants to produce glucose from the light energy from the sun. Plants' leaf cells are where this process takes place.
Based on the information presented above, it can be concluded that Jamila is right because glucose is a byproduct of photosynthesis rather than a reactant.
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $10. The auditorium can hold at most 130 people. The drama club must make no less than $900 from ticket sales to cover the show's costs. If
x
x represents the number of student tickets sold and
y
y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is:
5x + 10y ≥ 900 (total ticket sales must be at least $900)
x + y ≤ 130 (total number of tickets sold must be at most 130)
One possible solution is x = 70 (student tickets) and y = 60 (adult tickets).
To write a system of inequalities based on the given information, we can consider the revenue from ticket sales and the seating capacity of the auditorium:
Let x represent the number of student tickets sold, and y represent the number of adult tickets sold.
Revenue inequality:
The drama club must make no less than $900 from ticket sales, so the revenue equation is: 5x + 10y ≥ 900. This equation ensures that the total revenue from ticket sales is at least $900.
Seating capacity inequality:
The auditorium can hold at most 130 people, so the total number of tickets sold cannot exceed this limit: x + y ≤ 130.
To solve this system of inequalities graphically, we plot the inequalities on a graph. The shaded region where the inequalities overlap represents the feasible region or the possible solutions.
One possible solution within this feasible region could be x = 70 (student tickets) and y = 60 (adult tickets). This combination satisfies both inequalities and fulfills the revenue requirement of at least $900.
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he function a = –2x2 + 8x + 5 models the altitude a in feet of a ball thrown in the air and the horizontal distance in feet that the ball travels. Which is the vertex form of the function? (i just need part b answer)
Answer:
for part b the vertex is (2, 13)
Step-by-step explanation:
no (ice)
Answer:
It could be (2, 13)..
Step-by-step explanation:
Find all solutions of each equation on the interval 0≤ x <2pie
tan² x sec² x +2 sec²x - tan²x =2
The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
How to solve a trigonometric equation
In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:
tan² x · sec² x + 2 · sec² x - tan² x = 2
Second, use trigonometric formulas to reduce the number of trigonometric functions:
tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2
Third, expand the equation:
tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2
tan⁴ x + 2 · tan² x = 0
Fourth, factor the expression:
tan² x · (tan² x - 2) = 0
tan² x = 0 or tan² x = 2
tan x = 0 or tan x = ± √2
Fifth, determine the solutions to trigonometric equation:
x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
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Find the area of the figure. 5in 2in 4in 5in
Answer: Your answer is 23.5in²
Hope it helped :D
Good Luck!
AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x).
\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)
from the graphs n f (x) and g( x) are 1 and 5 .
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NEED THE ANSWER PLS TIMER
Angela was given this expression to simplify. Negative 2 (2 x + 1) minus 3 (x + 3). Consider her steps in simplifying: 1. Negative 2 (2 x) + (negative 2) (1) + negative 3 (x) + (negative 3) (3). 2. Negative 4 x + negative 2 + negative 3 x + negative 9. 3. Negative 7 x minus 11.
Which statements are true about the steps Angela used? Check all that apply.
In step 1, she distributed –2 through the parentheses.
In step 1, she distributed 3 through the parentheses.
In step 2, she added the factor to the value inside the parentheses.
In step 2, she multiplied the factor to the value inside the parentheses.
In step 3, she combined like terms.
9514 1404 393
Answer:
In step 1, she distributed –2 through the parentheses.In step 1, she distributed 3 through the parentheses.In step 2, she multiplied the factor to the value inside the parentheses.In step 3, she combined like terms.Step-by-step explanation:
In step 1 Angela used the distributive property to eliminate both sets of parentheses. In step 2, she found each of the products she indicated in step 1. In step 3, she combined like terms.
Answer:
the answer is a,d,e
Step-by-step explanation:
The black triangles are similar. Find the value of x.
No links please!!
9514 1404 393
Answer:
16
Step-by-step explanation:
The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...
x = (4/7)(28)
x = 16
What is the area of the trapezoid?
80 m²
96 m²
100 m2
120 m²
Answer:
Step-by-step explanation:
A=100
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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In this picture, m∠XOZ = 70° and m∠YOZ = 37°. If m∠XOY = (5x + 16)°, what is the value of x?
Answer:
x = 3.4
Step-by-step explanation:
You have the value of xoz = 70, yoz = 37 and xoy = 5x+16
Set your formula up as
xoz = yoz + xoy
70 = 37 + 5x + 16
70 - 37 - 16 = 5x
17 = 5x
17 / 5 = x
3.4 = x
\(\huge\bold{Given :}\)
m∠XOZ = 70°
m∠YOZ = 37°
m∠XOY = ( 5x + 16 )°
\(\huge\bold{To\:find :}\)
The value of x°.
\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)
\({\boxed{\mathcal{\red{The\:value\:of\: x° \:is\:3.4° .\:}}}}\)✅
\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)
We know that,
\(\sf\pink{m∠XOZ\:=\:m∠YOZ\:+\:m∠XOY}\)
➪ 70° = 37° + 5x° + 16°
➪ 5x° + 53° = 70°
➪ 5x° = 70° - 53°
➪ 5x° = 17°
➪ x° = \( \frac{17° }{5} \)
➪ x° = 3.4°
\(\sf\red{Therefore, \:the\: value \:of \:x°\: is \:3.4°.}\)
\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)
✒ 70° = 37° + 5 x 3.4° + 16°
✒ 70° = 37° + 17° + 16°
✒ 70° = 70°
✒ L. H. S. = R. H. S.
\(\boxed{Hence\:verified.}\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)
Please help.. Please. Is this a positive trend or negative trend or no trend
Answer:
it's a no trend cause its literally nothing but dots
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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For a standard normal distribution, given:
P(z < c) = 0.9663
Find c.
The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.
What is standard normal distribution?
The standard normal distribution table gives the probability of a regularly distributed random variable Z, whose mean is equivalent to 0 and difference equal to 1, is not exactly or equal to z. The normal distribution is a persistent probability distribution.
What is z score?
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by
z = (x - μ)/σ
Where x is the raw score, μ is the mean and σ is the standard deviation.
Given that P(z < c) = 0. 9663; hence:
From the normal distribution table, c = 0.47
The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.
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