Length of the ladder = 13 m
Foot of the ladder from the wall = 5 m.
The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.
In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.
In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.
In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.
So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.
Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m
wall ^ 2 + ground ^ 2 = 13^2 = 169
w^2 + g^2 = 169
w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12
Rate of change of ground distance = dg / dt = 2m/s (given).
In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.
2 w dw/dt + 2 g dg/dt = 0
2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0
dw/dt = -20 / 24 = -5 / 6
Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)
The minus sign denotes that the height of the ladder is falling.
Step-by-step explanation:
Mike pays $8,000 in property taxes, but receives a 28% tax deduction for it. What is Mike’s net expense for property taxes
Answer:
$5760
Step-by-step explanation:
Given data
Principal= $8,000
Tax= 28%
Let us compute 28% tax deduction
=28/100*8000
=0.28*8,000
=$2240
Hence the net expenses is
=8000 -2240
=$5760
Can Somebody help me real fast?
Solve each system by substitution y=-2
5x + 2y = 16
Answer:
the answer is 4
Step-by-step explanation:
5x=16+4
5x=20
X=4
Please help me solve this!!!
V=1/3bh
Answer:
What?
Step-by-step explanation:
Okay, the formula, then what?
Answer:
the answer is v=bh/3
Step-by-step explanation:
I solve for V since you didn't put what letter you wanted the question to be solved for.
hope this helps.
Write an equation of the perpendicular bisector of the segment with endpoints
(−1, −5) and (3, −1).
HELP!!
Answer:
Step-by-step explanation:
Midpoint of line segment = (1,-3)
Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2
Perpendicular bisector:
y+3 = ⅔(x-1)
y = ⅔x - 11/9
The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the population was at the start?
Answer:
32 times as many bacteria after 5 days
are the ratios 4:1 and 20:5 equivalent? and if they are how are they equivalent and if they aren't why aren't they equivalent??!!
Answer:
They are equivalent.
Step-by-step explanation:
identify 2 possible reasons for unemployment
Answer:
Pandemic, Loss In family
Step-by-step explanation:
The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.
(Hope this helps)
Yours Truely, TheAnimeCatUwU
Which statement is true about the data sets of two sets of quiz scores?
Sample A: 5, 5, 5, 5, 5 Sample B: 2, 2, 2, 2, 17
Select one:
Samples A and B have the same mean, but Sample A has a smaller median than Sample B.
Samples A and B have the same median, but Sample A has a larger mean than Sample B.
Samples A and B have the same median, but Sample A has a smaller mean than Sample B.
Samples A and B have the same mean, but Sample A has a larger median than Sample B.
Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.
Step-by-step explanation:
The median is the middle number in the sequence.
To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.
The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.
Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.
What are measures of central tendency?The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.
Given the data sets of two sets of quiz scores,
Sample A = 5, 5, 5, 5, 5
sample B = 2, 2, 2, 2, 17
mean is the average of total samples,
mean of sample A = (5 + 5+ 5 + 5 + 5 )/5
mean of sample A = 5
Mean of sample B = (2 + 2 + 2+ 2 + 17)/5
mean of sample B = 5
since the mean of both sample are same,
median is the central digit of sets
median of A is 5 and the median of B is 2,
so the median of sample A is larger than sample B.
Hence option D is correct.
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Which set of ordered pairs does not represent a function?
A\{(5, -1), (-3, -3), (8, 4), (4, -3)\}{(5,−1),(−3,−3),(8,4),(4,−3)}
B\{(-6, -7), (-3, -3), (-2, -8), (-6, 4)\}{(−6,−7),(−3,−3),(−2,−8),(−6,4)}
C\{(-2, 1), (-8, 0), (6, 7), (8, 7)\}{(−2,1),(−8,0),(6,7),(8,7)}
D\{(5, -3), (-6, 2), (-5, 3), (1, 2)\}{(5,−3),(−6,2),(−5,3),(1,2)}
Answer:
option B
Step-by-step explanation:
you cannot have one input and 2 outputs.
(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction
What is the equation for the axis of symmetry of the graph of this function?
F x = -3
G y = -3
H x = -5
J y = -5
Discuss the history of algebra. Discuss some of the key developments in the field of algebra and discuss who the contributors were? Provide a timeline of these key developments 4 paragraphs plz i'll give branliest 50 points i need this plzz
History of algebra
Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).
This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.
Simplify
5т — п — 5п + 2
Answer:
5t-4n+2
Step-by-step explanation:
n-5n=-4n
5t-4n+2
help pls ...........
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Hope this helps:)
Given: y= 2x + 1 and - 4x + y = 9,
solve the system by substitution
Answer:
x=-4 y=-7
Step-by-step explanation:
-4x+y=9 get y alone
add 4x both sides
y=4x+9
insert into y=2x+1
2x+1=4x+9
subtract 1 both sides
2x=4x+8
subtract 4x both sides
-2x=8
divide by -2
x=-4
y=2x+1
y=2(-4)+1
y=-8+1
y=-7
check
-4(-4)+(-7)=9
-16+(-7)=9
9=9
x=-4
y=-7
gl
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Answer:
Width = 15 feet
Length = 45 feet
Step-by-step explanation:
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Perimeter of a rectangle = 2L + 2W
The length is 3 times the width.
L = Length = 3W
W = Width
P = 120 ft
Hence:
120 = 2L + 2W
120 = 2(3W) + 2W
120 = 6W + 2W
120 = 8W
W = 120/8
W = 15 feet
Solving for Length
L = 3W
L = 3 × 15 feet
L = 45 feet
Therefore, the dimensions of your very own dog park is
Width = 15 feet
Length = 45 feet
2 = t/6 ( t/6 means divide )
Answer:
T = 12
Step-by-step explanation:
12/6=2
See attached an good explaination would be appreciated
Answer:
Y=X
Step-by-step explanation:
It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.
Find the additive inverse of −4x−8 .
Answer: 4x+8
Step-by-step explanation:
the additive inverse is the inverse operation but adding ( i hope this helps :D )plz help will give brainliest
CDE is reflected over the Y- Axis
Answer:
The answer to this question is A
The new coordinates will be C( 3 ,0), D( 7,1) , E(2,4) , Option A is the correct answer.
What is the meaning of Reflection ?When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.
The figure is given in the question.
The coordinates of the figure is
C( -3 ,0)
D( -7,1)
E(-2,4)
When reflection is done along any axis , the coordinates of the other axis change sign.
so in this case ( x,y ) -----> ( -x,y)
The new coordinates will be
C( 3 ,0)
D( 7,1)
E(2,4)
Therefore Option A is the correct answer.
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Given ADE with AD= 5 centimeters, BD= 3 centimeters and DE= 10 centimeters
What is the length of BC?
A. 6 2/3 cm
B. 5 cm
C. 4 cm
D. 6 cm
Answer:
BC is 4
Step-by-step explanation:
Use a proportion to solve
AB is 2 (AD is 5 and BD is 3- so 5-3)
[tex]\frac{2}{x} = \frac{5}{10}[/tex]
[tex]5x=20\\x=4[/tex]
2x + 3y = 10
In the xy-plane, the graph of which of the following equations is perpendicular to the graph of
the equation above?
•y=-3/2x-10 •y=-2/3x+10 •y=2/3x+10 •y=3/2x-10
The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.
What is the slope of any line?A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.
If two lines are perpendicular to each other then the product of their slope of them will be (-1).
⇒ m₁ ₓ m₂ = -1
The slope of line 2x + 3y = 10 will be -2/3
To be any line perpendicular whose slope m with the 2x + 3y = 10
⇒ -2/3 × m = -1
⇒ m = 3/2 so the slope of that line should be 3/2
Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.
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Given that KB = 28, what is the measure of angle KBL and segment KA
Answer:
KA = 28
∠KBL = 90°
Step-by-step explanation:
KA = KB (both are radii)
KB = 28, so KA = 28
∠KBL = 90° because tangents are perpendicular to the radius
20 is 80 percent of what number?
Answer:
20 is 80 of 25
Explanation:
20x10/8=25
A percentage is a way to describe a part of a whole. 20 is 80% of 25.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the number be x. Therefore, we can write,
80% of x = 20
0.80 × x = 20
x = 20/0.8
x = 25
Hence, 20 is 80% of 25.
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Please help will mark brainliest!
Write an inequality to represent each situation
1. Anyone over the age 14 must buy an adult ticket.
2. Kendra can spend at most $8 on lunch
Question 3
Blank one: ____________
Answer:
30???????????
Step-by-step explanation:
giving 5 stars to right one
fx) = -3x² + 2x - 7, then f(-1) =
Given:
The function is
[tex]f(x)=-3x^2+2x-7[/tex]
To find:
The value of f(-1).
Solution:
We have,
[tex]f(x)=-3x^2+2x-7[/tex]
Putting x=-1, we get
[tex]f(-1)=-3(-1)^2+2(-1)-7[/tex]
[tex]f(-1)=-3(1)-2-7[/tex]
[tex]f(-1)=-3-9[/tex]
[tex]f(-1)=-12[/tex]
Therefore, the value of f(-1) is -12.
ANSWER QUICK BESTIES!! ty
Answer:
Option B
Step-by-step explanation:
Option A, C and D have x- values that repeat and you cannot have that.
Y values can repeat but not x-values.
Option B has all x values with different y-values
Answer:
B.
Step-by-step explanation:
an output can have more than one input but an input can only have one output
basically only one arrow can go from the input to the output and b is the only one who's graph thing is like that
hope this helps <3
a - 13 < 3
what does a equal
Answer:
A=11
Step-by-step explanation:
11-13=2 and 2 is less than 3
Answer:
Step-by-step explanation:
Input:
a - 13<3
a<16