then the sum of the areas of the two smaller squares will be equal to the area of the largest square.
if three squares have sides that make an acute triangle, then the sum of the areas of the two small squares is equal to the area of the largest square. This is known as the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse). However, in an acute triangle, there is no side that is longer than the other two sides, and so the three squares cannot form a right triangle. Therefore, the sum of the areas of the two smaller squares cannot be determined from the information given.
If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares is less than the area of the largest square. In an obtuse triangle, one of the angles is greater than 90 degrees, which means that the square with its side opposite the obtuse angle will have a larger area than the other two squares. Therefore, the sum of the areas of the two smaller squares will be less than the area of the largest square.
If three squares have sides that make a right triangle, then the sum of the areas of the two small squares is equal to the area of the largest square. This is the Pythagorean Theorem, as mentioned in the first answer. 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. Therefore, if the squares are constructed with their sides equal to the lengths of the sides of the right triangle, then the sum of the areas of the two smaller squares will be equal to the area of the largest square.
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find 20,21,22,23,24,25,26,27
hello hello hello
Step-by-step explanation:
hi hi hi
Find the limit, if it exists, or show that the limit does not exist.
Lim(x,y,z) → (0,0,0) xy+yz+xz / x^2+y^2+z^2
The limit, if it exists, or show that the limit does not exist is to be found using the function Lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z².
The given function can be simplified as shown below: xy+yz+xz / x²+y²+z²= x(y+z)/x²+y²+z²+ y(x+z)/x²+y²+z²+ z(x+y)/x²+y²+z²
Now, we'll use the squeeze theorem to find the limit:
0 ≤ |x(y+z)/x²+y²+z²| ≤ |x|/√(x²+y²+z²) (since |y+z| ≤ |y|+|z| ≤ √(y²+z²+2yz))
Similarly, 0 ≤ |y(x+z)/x²+y²+z²| ≤ |y|/√(x²+y²+z²) and 0 ≤ |z(x+y)/x²+y²+z²| ≤ |z|/√(x²+y²+z²)
So, we have: 0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (√(x²+y²+z²)/√(x²+y²+z²)) (|x|+|y|+|z|)0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (|x|+|y|+|z|)
And now we'll apply the squeeze theorem.
Let L = lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z²
Thus,0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (|x|+|y|+|z|) → 0 as (x,y,z) → (0,0,0)
Therefore, by squeeze theorem, lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z² = 0
Hence, the given limit exists and is equal to 0.
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HELP THIS IS DUE TOMMOROW USE ANY STRATEGIE
Answer: what is ur questions?
Step-by-step explanation:
Ana is retiring next year from the school that she has taught at for the last 25 years. Her pension pays a monthly salary of $1,562.32. She also receives a monthly income from an IRA that she has made regular monthly payments, in the amount of $230.32, for the last 15 years. If Ana plans on using her pension and the funds from her IRA as her primary source of income for the next 10 years, determine Ana’s monthly income given that her IRA compounds interest at 2.3% monthly. Round to the nearest cent.
a.
$2,024.02
b.
$1,887.42
c.
$461.70
d.
$325.10
Mr.davis works for $2,400 per month plus a 10 percent commission on his total sales.he wants to earn at least $3,000 next month. Which inequality can be used to determine the amount of sales,s,he needs to meet his goal?
Answer:
5th and 6th of August and will not me I will get
Step-by-step explanation:
ok is a theme for all of us who 6th assignment and we are going too far from changes to our schedule so we will not have a party
Combine the like terms
X + x + y + y - y + x -2 =
Which value for the variable w makes the value of this expression 10?
50/w
A. w = 1/5
B. w = 5
C. w = 60
D. w = 500
Answer:
5
Step-by-step explanation:
50/5=10
therefore 5 is your answer
Answer:5
Step-by-step explanation:
If 1/5 of all lawyers are self-employed, what percent of lawyers are self-employed?
Answer:
20 percent
Step-by-step explanation:
If the fraction of self-employed to employed lawyers would be 1/5, then you would divide 1 by 5 which gives you .20 percent out of 1, equaling 20%
How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?
Answer:
shook
Step-by-step explanation:
The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.
Cans A and B are filled with pink paint. The ratio tables show the relationship between the number of parts white paint and the number of parts red paint in each can. Can A Based on the ratio tables, which can is filled with paint that should look redder? Explain.
A ratio describes a relationship between two or more quantities. When mixing colors, ratios are often used to determine the ratio of different colors required to achieve a desired hue. Ratios can be expressed in 1:, 2:3,.. etc.
Ratios affect the appearance of paint colors. In this scenario, Can A has a higher percentage of red than can B. This means that the shade of pink you get with Can A is likely to be darker and more red due to the higher concentration of red.
Can B, on the other hand, has a lower percentage of red, suggesting that the resulting pink hue is lighter and less red than can A.
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please help !! im so confused lol
Answer:
(c) 1.61
Step-by-step explanation:
thats what i got
Find the exact length of the curve. y = In(sec(x)), 0≤x≤ Need Help? Read It π 4 Watch It
The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:
To solve for the length of the curve of y = In(sec(x)), we use the formula,
`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.
We know that:`f′(x) = d/dx[In(sec(x))]`
Using the formula of logarithm differentiation, we can write the above equation as:
`f′(x) = d/dx[In(1/cos(x))]`
So,`f′(x) = -d/dx[In(cos(x))]`
Therefore,`f′(x) = -sin(x)/cos(x)`
Substituting the values, we get:
`L = ∫[a,b] √[1+(f′(x))^2] dx`
`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`
`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`
`L = ∫[0,π/4] sec(x) dx`
Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.
We calculate the constant by substituting the values of `a = 0` and `b = π/4`:
`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`
`L = ln(√2 + 1) - ln(1 + 0)`
`L = ln(√2 + 1)`
Thus, the exact length of the curve is `ln(√2 + 1)` units.
Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.
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a certain star is 5.4 x 10^2 light years away from earth. one light year is about 5.9 x 10^12 miles. how many miles away from earth is the star?
Answer:
2.537 x 10¹⁵ miles
Step-by-step explanation:
We are given the following:
1 light year = 5.9 x 10¹² miles
Distance of the star = 4.3 x 10² light years
To get this we just convert the distance of the star in light years into miles.
We cancel out the light years and then we are left with:
In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.
Coefficients:
4.3 x 5.9 = 25.37
Exponents of 10:
10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴
Then we combine them again to form a scientific notation:
25.37 x 10¹⁴
But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.
The answer will then be:
2.537 x 10¹⁵ miles
Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.
Yours,
Fellow Brainiac
Answer: 318,600
Step-by-step explanation:
This is what I got hope it helped:)
Rewrite sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products.
cos^2(x) - cos^4(x)
sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).
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please, fill out the corresponding points
Answer:
dude did you watch the ole miss game last night
Step-by-step explanation:
Answer:
a)
Step-by-step explanation:
Find the length of GH.
A. About 4.5 units
B. 20 units
C. 6 units
D. About 2 4 units
Answer:
C. 6 units
Step-by-step explanation: Graph the line using the slope and y-intercept, or two points.
Slope:
0
Answer:
Its A: 4.5 units
Step-by-step explanation:
help ASAP ASAP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
a =3/4
Step-by-step explanation:
2/3 times 3/4 = 1/2
1/2 (or 3/6) - 1/6 = 2/6
2/6 simplifies to 1/3
If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question?
The different ways can a student check off one answer to each question is 1024.
It is required to find the different ways can a student check off one answer to each question.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
,To find how many different ways can a student check off one answer to each question we have,
: 4^5 = 2^10
= 1024
Therefore, the different ways can a student check off one answer to each question is 1024.
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Find the volume of the figure. Round to the
nearest tenth.
1,286.1 units
401.9 units
5,144.6 units
128.6 units
Answer:
1,286.1 units is the answer
Step-by-step explanation:
your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635
volume formula: V=πr^2h
so π*6.4^2*h
π*40.96*10
3.14*409.6
1,286.144
round
1,286.1
What is the difference between the peak value of a waveform and the peak-to-peak value of the same waveform?
2. (True or False) For expressions that are time dependent or that represent a particular instant of time, an uppercase letter such as V or I is used. If false, why?
3. (True or False) The sine wave is the only alternating waveform whose shape is not altered by the response characteristics of a pure resistor, inductor, or capacitor. If false, why?
1. The peak value of a waveform is the highest value of a waveform, whereas the peak-to-peak value of a waveform is the difference between the maximum positive and maximum negative values of a waveform.
2. The statement "For expressions that are time-dependent or that represent a particular instant of time, an uppercase letter such as V or I is used." is false.
3. The statement "The sine wave is the only alternating waveform whose shape is not altered by the response characteristics of a pure resistor, inductor, or capacitor" is true.
1. The peak value of a waveform refers to the maximum value reached by the waveform in one direction, while the peak-to-peak value refers to the difference between the highest and lowest points of the waveform.
2. For expressions that are time-dependent or that represent a particular instant of time, a lowercase letter such as v or i is used. The uppercase letter is used to represent the RMS or average value of a waveform.
3. The sine wave is the only alternating waveform that maintains its shape when passing through a pure resistor, inductor, or capacitor because the impedance of a pure resistor, inductor, or capacitor is frequency-independent whereas other waveforms, such as square waves or triangular waves, can be altered by the frequency-dependent characteristics of reactive components like inductors and capacitors.
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Light travels a distance of one mile in about 0.000005368 second.
a
What is this estimated time written as a single digit times a power
of 10?
HELP PLEASE!!
Sales of a certain product are declining at a rate proportional to the amount of sales. If at the end of the first year the sales have declined by 22%, then how many years will have passed (since the beginning of the first year) when sales become only 31% of their original value? Express your answer as a decimal, correct to within 0.001 years.
Answer:
The answer is "6.093 years".
Step-by-step explanation:
The rate of decline in sales in \(22\%\) per year.
The starting sales is 100 units:
Using compounding formula:
\(\to 100 \times (1-\frac{22}{100})^t=22\% \ of \ 100\\\\\to 100 \times (\frac{100-22}{100})^t=\frac{22}{100} \times \ 100\\\\\to (\frac{78}{100})^t=\frac{22}{100}\\\\\to 0.78^t=0.22\\\\\text{taking \log on both the sides}\\\\\)
taking log on both sides
\(\to \log_e \ 0.78^t= \log_e\ 0.22\\\\\to t \log_e \ 0.78= \log_e\ 0.22\\\\\to t = \frac{\log_e 0.22}{\log_e 0.78}\\\\\)
\(= \frac{-0.6575}{-0.1079}\\\\= \frac{0.6575}{0.1079}\\\\=6.093\)
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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Every 10 years, the population of a small, rural town is recorded. In 1980, the population was 1,800. From 1980 to 1990, the population decreased by 15%. From 1990 to 2000, the population increased by 10%. What was the population of the town in 2000?
A. 90
B. 297
C. 1,683
D. 1,710
Answer:
D :>
Step-by-step explanation:
(1800-(1800*15/100) )((1800-(1800*15/100) )*10/100) =
justify x over 3 minus 7 equals 11
Answer:
54/3-7=11
Step-by-step explanation:
x/3-7=11
+7 +7
(3)x/3=18(3)
x=54
Check
54/3-7=11
18-7=11
11=11
y= -5/6x - 4
What is the slop of this equation and What is the Y intercept
Answer:
The slope is -5/6 and the y intercept is -4
Step-by-step explanation:
The equation is y=mx+b
That really means that m=slope, x=is the x coordinate, and b=is the y intercept
so if you plug in the numbers
y=mx+b
⬇️ ⬇️
y=-5/6x-4 (it is -4 because it is a negative number).
A Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
How high above the surface of the water does the anchor begin to drop? Round to the nearest meter.
The height the anchor begins to drop is 17.5 m
How to find how high above the surface of the water does the anchor begin to drop?Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
Let
h = the height the anchor begins to drops, h' = height of anchor below water surface = 52.5 mThe total height the anchor drops is thus H = h + h'
Now, the total height the anchor drops H = vt where
v = speed of anchor = 3.5 m/s and t = time anchor drops = 20 sSo, equating both equations, we have
vt = h + h'
Making h subject of the formula, we have that
h = vt - h'
Given that
v = 3.5 m/s, t = 20 s and h' 52.5 mSubstituting the values of the variables into the equation, we have that
h = vt - h'
h = 3.5 m/s × 20 s - 52.5 m
h = 70 m - 52.5 m
h = 17.5 m
So, the anchor drops 17.5 m
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Ill give godliest if you answer, and please show your work
Answer:
B
Step-by-step explanation:
because the image is like a parallelogram. Believes in me.
Answer:
Figure A has an area of 8 units.
Figure B has an area of 10 units.
Figure C has an area of 8 units. (I think)
Step-by-step explanation:
Uhh maths...
Hope this Helps!
students in a class are assigned to groups to work on a project. a grade will be given for each project, and everyone in the group will receive that grade. for the members of a particular group, the grade is a
Answer:3
Step-by-step explanation:
Parallelogram JKLM has vertices J(2, 1), K(7, 1), L(6,-3), and M(1, -3). What are the coordinates of the image of K if the parallelogram is rotated
270 counterclockwise about (-2,- 1)?
If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be (1,-2), (1,-7), (-3, -6), and (-3, -1).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Parallelogram JKLM has vertices J(2, 1), K(7, 1), L(6, −3), and M(1, −3).
If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be
J(2, 1) → (1, -2)
K(7, 1) → (1, -7)
L(6, −3) → (-3, -6)
M(1, −3) → (-3, -1).
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