Answer:
64°
Step-by-step explanation:
Both triangles represent a right angle by the small box in the angle.
Right angles = 90°
Since the triangles are congruent, then they would have the same measurements in their angles an sides. All triangles also have a sum of 180°. So, we can just subtract (26 + 90) from 180 to get the third angle.
180 - (26 + 90)
180 - 116
64
So, the m∠KLM is 64°.
Can someone please help me
Answer:
3. Add 11, then multiply by 3
4. Subtract 43, then multiply by 9
Step-by-step explanation:
Does that make sense?
Nancy bought 3 hard cover books at the book store if each hard cover book cost $5.10 and she paid with a twenty dollar bill how much change should she get back
Answer:
$4.70
Step-by-step explanation:
3*5.10= 15.30
20-15.30= 4.7
Answer:
she should get $4.70
Step-by-step explanation:
you need to take 5.10 and multiply by 3 to get $15.3 then do 20 minus 15.30
The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic O combinations O mutations O fulminations O corrections.
The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic mutations.
What is mutation ?An modification in the nucleic acid sequence of an organism's, virus's, or extrachromosomal DNA is referred to as a mutation. DNA or RNA can be found in the viral genome.
Any alteration to a cell's DNA sequence. Mistakes in cell division can result in mutations, as can exposure to environmental DNA-damaging substances.
Ionizing radiation may harm genetic material (mutations) in gonads or germ cells, which can result in disorders with a genetic component (hereditary defects). Malformations, metabolic issues, immune system deficits, etc. might occur from them.
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8th question combination or permutations
As a result of this, 20,160 different words can be made from the letters inside the word multiply.
What makes an example distinct?There are three distinct sorts, classes, groups, and categories. The two plants are very different from one another (from one another). Every herb has a unique flavor. The phrase can signify one of three things.
The word MULTIPLY has 8 letters. To find the number of distinct words that can be formed, we can use the formula for permutations with repeated elements:
n!/(n1!n2!...nk!)
where n is the total number of items, and n1, n2, ..., nk are the numbers of times each item is repeated.
In this case, there are 8 letters, but the letter L appears twice. So we have:
n = 8
n1 = 2 (for the L's)
n2 = n3 = ... = nk = 1 (for the other letters)
Substituting into the formula, we get:
8!/(2!1!1!1!1!1!1!) = 8×7×6×5×4×3 = 20160
As a result of this, 20,160 different words can be made from the letters inside the word multiply.
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tom can do a job in 140 minutes; tom and jerry can do the job together in 70 minutes. how long for jerry to do the job by himself?
Jerry can do the job in 140 minutes by himself
Tom can do a Job in 140 minute
In 1 minute tom can do 1/140 of the job
Tom and Jerry can together do the job in 70 minutes
In 1-minute tom and jerry can do 1/70 of the job
At 1 minute:
1/70 of the job = 1/140 of the job + Job done by Jerry in 1 minute
1/70 - 1/140 = Job done by Jerry in 1 minute
1/140 = Job done by Jerry in 1 minute
To complete the full job Jerry needs 140 minutes
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You are coordinating the construction of a shelter for homeless people. A large number of college students and members of a religious organization have signed up as volunteers for constructing the shelter. About 30% of these volunteers are skilled, but the rest are not. It is estimated that the total number of man-hours required to complete the construction of the shelter is 1200—if all volunteers are skilled. Three times as many unskilled volunteers are required to complete any job compared to skilled volunteers. The average number of hours a skilled volunteer is available is 10/week while unskilled volunteers are available for 15 hours every week.
Explanation:
The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.
__
For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.
A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.
The net result is that 50 skilled hours and 165 unskilled hours are worked each week.
__
We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)
Using this assumption, job completion occurs at the equivalent rate of ...
50 +165/3 = 105 . . . equivalent skilled hours per week
The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)
__
In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.
How do you calculate image size?
The steps to calculate the image size is as follows.
Size:
In math, size refers the process of comparing or measuring objects, which results in the determination of the magnitude of a quantity, such as length or mass, relative to a unit of measurement.
Given,
Here we need to find the steps to find the image size.
In order to find the size of the image, we have to perform the following steps:
First, we have to multiply the detectors number of horizontal pixels by the number of vertical pixels to get the total number of pixels of the detector.
Then we have to Multiply total number of pixels by the bit depth of the detector (16 bit, 14 bit etc.) to get the total number of bits of data.
After that, we have to divide the total number of bits by 8 equals the file size in bytes.
Finally, we have to divide the number of bytes by 1024 to get the file size in kilobytes. Divide by 1024 again and get the file size in megabytes.
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Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.
Answer:
lma ooo how many times did you post
4x^2 - 16x + 8
Step-by-step explanation:
4(x-2)^2-8
4(x-2)(x-2)-8
4{x^2-4x+4}-8
4x^2 - 16x +16 - 8
4x^2 - 16x + 8
A Circle Has An Area Of 45 Square Meters. What Is The Area Of A Sector With An Arc Measure Of 80°? Please help asap
The Area of sector is 10m².
To find the area of a sector, you can use the following formula:
Area of sector = (θ/360)πr²
where θ is the central angle in degrees.
We have area of square = 45 m²
So, 45 = πr²
r² = 45/π
r ≈ 3.78 m
Now, Area of sector
= 80/360 x 3.14 x 14.331
≈ 10m²
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PLEASE HELP ASAP!!!!
Answer:4,-4
Step-by-step explanation:
Not good with graphing stuff think this id right tho
Etsuko practices origami. The square papers she uses have a side length of either 7. 5 cm
or 25. 4 cm. Etsuko says the length of the larger paper is 32. 9 cm greater than the length
of the smaller paper.
Is Etsuko correct? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu.
To find how many centimeters greater the length of the larger
smaller paper, the lesser number of centimeters needs to be
greater number of centimeters, which gives a result that is
is
because 25. 4 cm is Choose.
paper is than the length of the
the
7. 5 cm.
No, Etsuko is not correct. The length of the larger paper is 17.9 cm greater than the length of the smaller paper.
How to explain the informationThe smaller paper has a side length of 7.5 cm. The larger paper has a side length of 25.4 cm.
The difference between the two side lengths is 25.4 cm - 7.5 cm = 17.9 cm.
Therefore, the length of the larger paper is 17.9 cm greater than the length of the smaller paper.
Etsuko's error is likely due to the fact that she rounded the difference between the two side lengths to 32.9 cm. However, this rounding error is significant, and it results in her answer being incorrect.
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You want to create a simulation of the following scenario. The population of school A is made
up of 25% 9th graders, 25% 10th graders, 25% 11th graders, and 25% 12th graders. The
population of school B is made up of 40% 9th graders, 30% 10th graders, 20% 11th graders, an
10% 12th graders.
What is the best way to assign values for a simulation using a random digits table?
The best way to assign values for a simulation using a random digits table would be to first, create a random sample using a random digits table.
What are the steps to create random sample?1. List the four classes from school A in the order they are given, starting with 9th graders and ending with 12th graders.
2. List the four classes from school B in the order they are given, starting with 9th graders and ending with 12th graders.
3. Assign each class from both schools a number between 0 and 9.
4. Use the random digits table to select a four-digit sample of numbers.
5. Group each set of two digits together and match them to the assigned class.The result of the simulation would be a sample of students that would represent both schools accurately. These values can then be used to conduct the simulation or other statistical analyses.
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given: line segment wz bisects line segment xy. line segment xy bisects line segment wz. to prove: triangles wax and zay are congruent. statements reasons 1. segment wz bisects xy. 1. given 2. segments xa and ya are congruent. 2. when a segment is bisected the resulting segments are congruent. 3. segment xy bisects wz. 3. given 4. 4. when a segment is bisected the resulting segments are congruent. 5. angles wax and zay are congruent. 5. vertical angles of intersecting lines are congruent. 6. triangles wax and zay are congruent. 6. triangles with two sides and an included angle equal are congruent. what should be in statement 4 to complete the proof? a angles xwa and yza are congruent. b segments wa and az are congruent. c segments wx and yz are congruent. d angles wxa and zya are congruent.
This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.
What are angles?When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
When two lines meet at a point, an angle is created.
An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.
Angles are a common occurrence in daily life.
Angles are used by engineers and architects to create highways, structures, and sports venues.
Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.
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What is the slope of the line through (–2,3) and (1,–3) in the standard (x,y) coordinate plane
The slope of the line through (-2,3) and (1,-3) is -2.
What is slope-intercept form?Y = mx + b, where m is the line's slope and b is the y-intercept, is the slope-intercept form of a linear equation (the point where the line intersects the y-axis). This form is helpful because, given a line's equation, it enables us to quickly determine the slope and y-intercept. By charting the y-intercept and utilising the slope to identify additional points on the line, we can also use this technique to graph a line. We can also create an equation for a line given its slope and y-intercept using this approach.
The slope of the line is given as:
slope = (y2 - y1) / (x2 - x1)
Substituting the value of the given coordinates we have:
slope = (-3 - 3) / (1 - (-2))
slope = -6 / 3
slope = -2
Hence, the slope of the line through (-2,3) and (1,-3) is -2.
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The average cost of a pizza in 2022 is $18. Inflation has been averaging 3.25% for many years. In what year was the average cost of a pizza 9$ (half)? Approximate using rule of 72.
The year in which the approximate cost of a pizza was of $9 is given as follows:
2000.
What is the rule of 72?The rule of 72 is a quick and simple mathematical formula that is used to estimate the number of years it takes for an investment or a debt to double, given a fixed annual interest rate. The rule states that if you divide 72 by the annual interest rate (expressed as a percentage), the result will give you an approximate number of years it takes for the investment or debt to double.
Hence the equation is given as follows:
Time to double = 72/Rate.
The rate for this problem is of 3.25%, hence the time to double is given as follows:
T = 72/3.25
T = 22 years.
Hence the pizza cost half of what it cost in 2022 in 22 years before, hence:
2022 - 22 = year of 2000.
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Djejsiskdksjdkdkskskskskskskdkskskskskskdkxj
Answer:
What does this even mean????
Step-by-step explanation:
this is just a bunch of random letters.
Can anyone help me?
The circle at each end of the court that surrounds the free throw line is the same size as the jump ball circle. (In other words, they have the same radius.) What is the area of the rectangle (called the lane) whose length is 19 and whose width is the free throw line?
Sarah is a computer engineer and manager and works for a software company. She receives a
fixed annual increase in the number of projects she handles each year. She worked on 129
projects in the fourth year of her employment and 207 projects in her tenth year.
(a) How many projects did Sarah work on in her first year?
(b) If a project pays her $500 on average,
I. How much did she earn in her twelfth year?
II. How much did she earn in total in her first 12 years with the company
Answer:
a) Number of projects in the first year = 90
b) Earnings in the twelfth year = $116500
Total money earned in 12 years = $969000
Step-by-step explanation:
Given that:
Number of projects done in fourth year = 129
Number of projects done in tenth year = 207
There is a fixed increase every year.
a) To find:
Number of projects done in the first year.
This problem is nothing but a case of arithmetic progression.
Let the first term i.e. number of projects done in first year = \(a\)
Given that:
\(a_4=129\\a_{10}=207\)
Formula for \(n^{th}\) term of an Arithmetic Progression is given as:
\(a_n=a+(n-1)d\)
Where \(d\) will represent the number of projects increased every year.
and \(n\) is the year number.
\(a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)\)
Subtracting (2) from (1):
\(78 = 6d\\\Rightarrow d =13\)
By equation (1):
\(129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90\)
Number of projects in the first year = 90
b)
Number of projects in the twelfth year =
\(a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233\)
Each project pays $500
Earnings in the twelfth year = 233 \(\times\) 500 = $116500
Sum of an AP is given as:
\(S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938\)
It gives us the total number of projects done in 12 years = 1938
Total money earned in 12 years = 500 \(\times\) 1938 = $969000
Angle a and b are complementary angle a measure 10x +10 and angle b measure 20 find the value of c
The measure of angle c is 70 degrees.
If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.
Given:
Measure of angle a = 10x + 10
Measure of angle b = 20
We can set up the equation:
(10x + 10) + 20 = 90
Simplifying the equation:
10x + 30 = 90
Subtracting 30 from both sides:
10x = 60
Dividing both sides by 10:
x = 6
Now, we have found the value of x to be 6.
To find the measure of angle c, we can substitute the value of x into the equation for angle a:
Measure of angle a = 10x + 10
Measure of angle a = 10(6) + 10
Measure of angle a = 60 + 10
Measure of angle a = 70
As a result, angle c has a measure of 70 degrees.
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what is the probability of getting a score of 80% or higher on a 5-question truefalse quiz when guessing (with a 50-50 chance of being correct) on every question? what if instead the quiz has 20 questions?
The probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question is 1/16, while the probability of getting a score of 80% or higher on a 20-question true/false quiz is 1/1048576.
What is the probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question
A quiz consists of 5 questions. A student guesses each of the questions. The probability of guessing a question correctly is 0.5.
Therefore, the Probability of getting a score of 80% or higher is = Probability of getting 4 or 5 questions right. To get 4 out of 5, we have to consider all possibilities of choosing 4 out of 5 questions correctly. A number of ways of choosing 4 out of 5 questions correctly is 5.
A number of ways of guessing the 5 questions is 2^5.
Therefore, the probability of getting 4 out of 5 correct is 5/32. To get 5 out of 5, we have to consider only one possibility.
A number of ways of guessing 5 questions is 2^5.
Therefore, the probability of getting 5 out of 5 correct is 1/32.
So, the probability of getting a score of 80% or higher = Probability of getting 4 or 5
questions right = 5/32 + 1/32 = 6/32 = 3/16.
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What if instead, the quiz has 20 questions,
If the quiz has 20 questions, the probability of getting a score of 80% or higher is 1/2^20 = 1/1048576.
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how do i find the value of x?
Answer:
x = 18 (verified by algebra) ✅Step-by-step explanation:
When we have two similar triangles, we can use a proportion to determine an unknown value.
\(\frac{2x + 80}{87} = \frac{80}{60}\)
We will cross multiply to get two equivalent equations that can be solved.
(2x + 80) x 60 = 120x + 4800
We can simplify this by dividing both sides by 24 to get a much simpler equation to work with: 5x + 200.
80 x 87 = 6960
We will also divide this by 24. The answer is 290
5x + 200 = 290
Subtract 200
5x = 90
Divide by 5
x = 18
Now, we can also check to make sure we did everything correctly.
(2(18) + 80) x 60 = 120x + 4800
(36 + 80) x 60 = 120(18) + 4800
116 x 60 = 2160 + 4800
6960 = 6960 ✅
if p=(3,1) and Q=(-3,-7), find the equation of the circle that has segment PQ as the diameter (x-{?})^2+(y-{?})^2={?}
Answer:
x² + (y + 3)² = 25
Step-by-step explanation:
the centre (C) of the circle is at the midpoint of the diameter.
using the midpoint formula
midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )
C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )
the radius r is the distance from the centre to either P or Q
using the distance formula
r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )
r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)
= \(\sqrt{3^2+(1+3)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (0, - 3 ) and r = 5 , then
(x - 0 )² + (y - (- 3) )² = 5² , that is
x² + (y + 3)² = 25
How do you estimate a scatter plot?
Answer:
Step-by-step explanation:
1.Collect pairs of data where a relationship is suspected.
2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...
3.Look at the pattern of points to see if a relationship is obvious. ...
4.Divide points on the graph into four quadrants.
Find Sin (BAC+30) 80POINTS
Answer:
\(\dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\)
Step-by-step explanation:
Trigonometric Identities
\(\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\)
Trigonometric ratios
\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)
where:
\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Using the trig ratio formulas for cosine and sine:
\(\cos (\angle BAC)=\dfrac{12}{20}\)\(\sin (\angle BAC)=\dfrac{16}{20}\)Angles
\(\sin (30^{\circ})=\dfrac{1}{2}\)
\(\cos (30^{\circ})=\dfrac{\sqrt{3}}{2}\)
Therefore, using the trig identities and ratios:
\(\begin{aligned}\sin (\angle BAC + 30^{\circ}) & = \sin (\angle BAC) \cos (30^{\circ})+\cos (\angle BAC) \sin (30^{\circ})\\\\& = \dfrac{16}{20} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{12}{20} \cdot \dfrac{1}{2}\\\\& = \dfrac{16}{40}\sqrt{3}+\dfrac{12}{40}\\\\& = \dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\end{aligned}\)
sin<BAC
P/H16/20cos<BAC
B/H12/20NOw
sin(<BAC+30)sin<BAC×cos30+cos<BACsin3016/20(√3/2)+12/20(1/2)2/5√3+3/103927283+8093
Help pls
Answer: 3935376
Step-by-step explanation: 3927283+8093
3935376
10 - 3x < 16
Can y’all help me pls
Answer:
x>-2
Step-by-step explanation:
first you subtract 10 from both sides to find x
10-3x-10<16-10
-3x<6
now here you divide both sides by -3
-3x/-3<6/-3
BUT since you are dividing by a negative number the sign will have to flip
so the answer will be
x>-2
\(\sqrt{8}+\sqrt{18}-\sqrt{32}\)
A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is _____.
A)-11
B)-8
C)-5
D)10
Answer:
B
Step-by-step explanation:
firstly as we know that,
nth term of an A.P. is n= a1 + (n-1)d
here d is -3 so, A1 = 1-(-3) = 4
so, 5th term = 4 + ( 5-1)( -3) = 4 + 4(-3) = 4 - 12 = -8
so the answer is -8 which is option B.
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How many ways are there to select a committee of five from a club with 30 members?
Answer: 142506
Step-by-step explanation:
To select a committee we don't require any order , so we use a combination.
The number of combinations of selecting r things out of n things:
\(^nC_r=\dfrac{n!}{r!(n-r)!}\)
So, the number of combinations of selecting 5 members out of 30 = \(\dfrac{30!}{5!(30-5)!}=\dfrac{30\times29\times28\times27\times26\times25!}{120\times5!}=142506\)
Hence, total number of ways= 142506
show algebraically the sum of two consecutive numbers is always odd
the sum of two odd integers will always be resulted in an odd digit.
What are odd numbers?Odd numbers are entire numbers that can't be isolated precisely into matches. Odd numbers, when separated by 2, leave a rest of 1. , 3, 5, , 9, 11, , 15 are consecutive odd numbers.
These are added together to get n + n+1, or 2n+1. Since +1 make it odd, 2n is even. Any two successive integer sums are hence odd. According to the solution is "2n + (2n + 1) = 4n +1."
Even numbers result from the addition of two fractions, but still only digits result from the addition of one odd number with one even number. In order to only receive an odd number, add one odd as well as one even.
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