Answer:
80/89 (I messed it up with sine sorry :)
Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89
How much salsa is missing from the jar?
Number 7 please
Find the perimeter of an equilateral triangle with a side length of 4x-1
Answer:
12x-3
Step-by-step explanation:
Perimeter is : 3*(4x-1)
Once Emily's bank account fails below $0.
her bank charges her $3 each day until
she makes a deposit to reach a positive
balance. If the balance in her account is
$32 and she makes a $60 purchase, what is
the balance in her account after 7 days if
she does not make a deposits
========================================================
Explanation:
Her original balance starts off at $32. After making the $60 purchase, her balance becomes 32-60 = -28 dollars. We wouldn't say 60-32 = 28 because the expense is larger than her balance.
Being in the negative territory means Emily is in debt to the bank, until she can get her balance back to $0 or higher. Since they charge her $3 a day for being in the negative area, and her balance is like this for 7 days, then they charge a total of 7*3 = 21 dollars.
So the -28 will drop to -28-21 = -49 dollars
If she doesn't want any more charges done, she needs to deposit $49 or more into the account on the 8th day.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Given:
The expression is:
[tex]10xy+3y+20ax+6a[/tex]
To find:
The complete factor form of the given expression.
Solution:
We have,
[tex]10xy+3y+20ax+6a[/tex]
By grouping, we get
[tex]=(10xy+3y)+(20ax+6a)[/tex]
Taking out GCF from each parenthesis.
[tex]=y(10x+3)+2a(10x+3)[/tex]
Taking out the common factors, we get
[tex]=(10x+3)(y+2a)[/tex]
Therefore, the correct option is c.
Part II:
13. Use the information in the table to answer the following:
A relation is Given below:
M
a) Identify the domain and the range for the given relation:
Domain:
X 0
1
- 1
0
y 0 -1 0 1
Range:
Formal Asso
Using the information in the table the domain is 4 and the range [-1,1]
Is it in the X or Y domain?The term "domain" refers to a group of potential input values, and the domain of a graph is made up of all the input values visible on the x-axis. The y-axis displays the range, which is a collection of possible output values.
How do you discover a table's domain and range?The domain is typically listed in the left column and the range is typically listed in the right column in a table like the one below. The domain and range of a relation or function, respectively, can be thought of as the input values (x) and the output values (y), respectively.
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is two displacement vectors add to give a total displace,ment of 0 what do you know about the two diplacemenst
The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.
If the total displacement of two vectors is 0, it means that the final position of an object after being displaced by the two vectors is the same as its initial position. This can happen in a few ways:
The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.
The two vectors are parallel but pointing in opposite directions. This means that the object is displaced in one direction and then back again, resulting in a net displacement of 0.
The two vectors are perpendicular and the magnitude of each vector is the same. This means that the object is displaced in one direction and then back again in the perpendicular direction, resulting in a net displacement of 0.
Therefore, In all cases, it can be inferred that the two vectors are in some way related to each other in terms of direction and magnitude.
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Solve 5(8x + 4) = 300 . PLEASE HELP ME IT'LL MAKE MY DAY
A baby manatee weighs 58 kilograms. At birth the manatee weighed 30 kilograms. What is the percent increase in the manatee's weight rounded to the nearest whole number?
Answer:
93.3% i hope this is right
Step-by-step explanation:
percentage increase= final-original/originalx100
58-30/30x100=93.3333%
Why do the Iroquois perform rituals?
The Iroquois perform rituals in "The World on Turtle's Back" to honour the twins, demonstrating their belief that they must carry out specific rituals in order to preserve the Earth.
What is rituals?A ritual is a set sequence of actions involving gestures, words, actions, or objects. The customs of a group, including a religious group, may dictate rituals. Formalism, traditionalism, invariance, rule-governance, sacral symbolism, and performance are characteristics of rituals but not what defines them.
All known human societies have rituals. In addition to the rites of passage, atonement, and purification, oaths of allegiance, dedication ceremonies, coronations, presidential inaugurations, marriages, funerals, and other ceremonies, they also include the worship rites and sacraments of organised religions and cults. Even routine behaviours like shaking hands and saying "hello" can be categorised as rituals.
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help ! find x and y
[tex]x + y = 2[/tex]
[tex]y - x = 2[/tex]
Answer:
[tex](x,y)\rightarrow(0,2)[/tex]
Step-by-step explanation:
[tex]\displaystyle \left \{ {{x+y=2} \atop {y-x=2}} \right.\\[/tex]
Combine system of equations on both sides:
[tex](x+y)+(y-x)=2+2\\2y=4\\y=2[/tex]
Thus,
[tex]x+y=2\\x+2=2\\x=0[/tex]
(x, y) <=>(0, 2)
Step-by-step explanation:
[tex]x + y = 2 \\ y - x = 2 \\ \\ x + (x + 2) = 2 \\ y = x + 2 \\ \\ 2x + 2 - 2 = 2 - 2 \\ y = x + 2 \\ \\ 2x = 0 \\ y = x + 2 \\ \\ x = 0 \div 2 \\ y = x + 2 \\ \\ x = 0 \\ y = 0 + 2 \\ \\ x = 0 \\ y = 2[/tex]
1. Marta walked 6 miles in 1.5 hours. At this rate how long will it take her to walk 16 miles?
2. Lionel typed 320 words in 4 minutes. At this rate, how long will it take him to type 800 words?
Answer for no.2: 800
Step-by-step explanation:
Write your answer in simplest radical form.
Find the value of y.
y = 2√10......... or y=√40
A telktronics dental X ray machine bears a label stating that the machine gives radiation dosages with a maximum of 5. 00 millorientgens. Sample data consist of 46 randomly selected observations with a mean of 4. 23 milliroentgens and a standard deviation of 1. 91 milliroentgens. Test the claim that the machine gives a radiation dose lower than the maximum on the label
There is very strong evidence to reject the null hypothesis, and to conclude that the machine gives radiation doses lower than the maximum on the label.
What is hypothesis testing?Hypothesis testing is a statistical method used to test a claim or a hypothesis about a population parameter, based on a sample of data. The goal of hypothesis testing is to determine whether there is enough evidence in the sample data to support or reject a claim about a population.
What is t-test?A t-test is a type of statistical hypothesis test that compares the mean of a sample to a known population mean. There are different types of t-tests, depending on the design of the study and the number of samples being compared.
To test the claim that the machine gives a radiation dose lower than the maximum on the label (5.00 milliroentgens), we can use a one-sample t-test. A one-sample t-test compares the mean of a sample to a known population mean (in this case, the maximum on the label). The null hypothesis for this test is that the mean radiation dose given by the machine is equal to or greater than the maximum on the label (5.00 milliroentgens). The alternative hypothesis is that the mean radiation dose given by the machine is less than the maximum on the label.
The test statistic for a one-sample t-test is:
t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
Plugging in the given values:
t = (4.23 - 5.00) / (1.91 / sqrt(46)) = -4.05
We can use a t-distribution table to find the p-value associated with this test statistic. With 45 degrees of freedom (sample size - 1), the p-value for t = -4.05 is extremely low, much less than 0.001, the significance level commonly used in hypothesis testing.
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they can chose from blue,red or green shorts and white ,black or purple shirts and yellow or orange socks How many combinations are possible
PLEASE HELP QUICK!!!
Answer:
Alt int angles is 2 and 8, corresponding angles is 4 and 8, linear pair is 6 and 7, and vertical angles is 1 and 3
Step-by-step explanation:
Find the surface area and volume to the nearest while number
Answer:
Surface area: 18,144m
Volume: 139,968m³
Step-by-step explanation:
Surface area:
72x72 = 5184m on bottom, as well as top
5184+5184= 10368
27x72 for side length = 1944
1944 x 4 sides = 7776
7776+10368 = 18,144m surface area
Volume:
72x72x27 = 139,968m³
Fact and solve the equation. Show your work.[tex]x^2-11x+10=0[/tex]
Answer:
x = 10 and x=1
Step-by-step explanation:
x^2-11×+10=0
(×-10)(×-1)=0
×-10=0
×=10
×-1=0
×=1
yiu find iut two factors when u multiply will give u 10 and when u add will give u -11 so the 2 factors where -10 and -1
Solve for x.
2x = 25-3x
Simplify your answer as much as possible.
x
=
3 0.8
X
Ś
[tex]2x = 25-3x[/tex]
Simplify:
[tex]2x=-3x+25[/tex]
Add 3x to both sides:
[tex]2x+3x=-3x+25+3x[/tex]
[tex]5x=25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{25}{5}[/tex]
[tex]\fbox{x = 5}[/tex]
PLEASE HELP
I will give away 100 points to right answer
Answer:
48 yd^2
Step-by-step explanation:
We can cut this shape into 4 squares which areas are all 4x3 or 12. Therefore, we add 12 four times to get 48.
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Please help 5 questions I need help
Answer:
1. <2, <7
2. 58
3. 78
4. a and b
h5. <2 and <7 ( i think this is the same question as the first one)
Step-by-step explanation:
2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)
2x + 7 = 123, subtract 7
2x = 116, divide 2 for both sides to make x by itself
x = 58
3. 78 because of consecutive interior angles
5. The population of a town went from
100,000 to 137,000 in 5 years. What was
the percent increase in the town's
population
over that time?
A 7.4%
B 37%
C 73%
D 137%
Answer:B or A depending on if it went per year or overall
Step-by-step explanation:100 137, 137-100=37
37/5=7.4
convert 11.011 to a base 10 number
Multiply each digit by its corresponding place value and add the results: 11 + 0.011
11.011 = 11 + 0.011 = 11.011
How to covert binary number to decimal number?Once the bits of the binary number have been multiplied by the corresponding positional weights, the binary number can then be converted into its corresponding decimal number by adding the resulting products.
To convert a number in base 2 (binary), base 8 (octal) or base 16 (hexadecimal) to a base 10 (decimal) number, you can use the following method:
Write the number in base 2, 8, or 16 and the corresponding base 10 place values.
Multiply each digit by its corresponding place value and add the results.
For example, to convert the base 10 number 11.011 to a base 10 number:
Write the number and the corresponding base 10 place values: 11.011
Multiply each digit by its corresponding place value and add the results: 11 + 0.011
11.011 = 11 + 0.011 = 11.011
As the number is already in base 10, it does not need to be converted. The value is 11.011
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Can you solve this problem for me please
The required scale factor that Amir will use to go from Polygon F to G is 1/9.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
Area of polygon F = 36 square units
Area of polygon G = 4 square units
Now,
The scale factor to go from polygon F to polygon G is given as,
SF = Area of polygon G / Area of polygon F
SF= 4/36
SF = 1/9
Thus, the required scale factor that Amir will use to go from F to G is 1/9.
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What happened in chapter 3 of The Strange Case of Dr Jekyll?
In Chapter 3 of "The Strange Case of Dr. Jekyll and Mr. Hyde," we see how Utterson's investigation and how Jekyll's addiction to his dark side starts to unravel.
In this chapter, Dr. Jekyll's friend and lawyer, Mr. Utterson, becomes increasingly concerned about the strange goings-on surrounding his friend and his association with the mysterious Mr. Hyde. Utterson begins to investigate the relationship between the two men, and discovers that Jekyll has made a will leaving all of his property to Mr. Hyde. Utterson also discovers that Jekyll and Hyde have the same handwriting, and becomes convinced that Jekyll is hiding something.
As Utterson continues to dig, he is eventually able to piece together the truth of the situation: Jekyll has been using a potion to transform himself into the violent and evil Mr. Hyde. Jekyll reveals to Utterson that he has been struggling for a long time with his dual nature and that the potion allows him to temporarily indulge his darker impulses without fear of discovery. Utterson urges Jekyll to give up the potion, but Jekyll refuses, saying that he is powerless to stop using it.
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The width of a rectangle is represented by 5k4h 6r; the length of the rectangle is represented by 7k4h 6r. Which of the following expressions represents the perimeter of the rectangle
5k4h 6r + 7k4h 6r + 5k4h 6r + 7k4h 6r = The perimeter of the rectangle is 24k8h 24r.
1. 5k4h 6r + 7k4h 6r = 12k8h 12r
2. 12k8h 12r + 5k4h 6r = 17k12h 18r
3. 17k12h 18r + 7k4h 6r = 24k8h 24r.
Therefore, the perimeter of the rectangle is 24k8h 24r.
The width of a rectangle is represented by 5k4h 6r, and the length of the rectangle is represented by 7k4h 6r. To find the perimeter of the rectangle, we need to add the width and length of the rectangle together. This can be done by adding 5k4h 6r and 7k4h 6r. The answer to this addition is 12k8h 12r. We then need to add the width and length of the rectangle together again. To do this, we add 12k8h 12r and 5k4h 6r. The answer to this addition is 17k12h 18r. Finally, we need to add the width and length of the rectangle together again. This is done by adding 17k12h 18r and 7k4h 6r. The answer to this addition is 24k8h 24r. Therefore, the perimeter of the rectangle is 24k8h 24r.
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please answer this quick thank u so much
Answer: 3 hours and 45 minutes
Step-by-step explanation:
We can see that the first clock is at 10:30 am (the short hand is the hour, and it's pointing at 10, and the long hand is the minutes, and it's pointing at 6, which would mean 30 minutes since you multiply 6 by 5)
The second clock is at 2:15 pm using the same logic.
12:00 is when the time changes from am to pm. So, find the time difference from 10:30 am to 12:00
Subtract 30 from 60, and we get thirty, so after 30 minutes, the time will change from 10:30 to 11:00. Then we have 1 hour from 11:00 to 12:00. This means that from 10:30 to 12:00, the time spent is 1 hour and 30 minutes.
Finally, we add 2 hours and 15 minutes, since that's the second time.
Add both those times together:
1 hour and 30 minutes plus 2 hours and 15 minutes = 3 hours and 45 minutes.
Answer:
4 hours and 45 minutes
Step-by-step explanation:
the first clock shows 10:30am and the second clocks shows to be at 2:15pm
which you count by hours is 10,11,12,1,2 so you went but 4 hours and 45 minutes
A cylinder is 20 inches long and has a diameter of 10 inches the approximate volume of the cylinder is_____ cubic centimeters
Answer: 3987.8cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
where
π = 3.14
r = diameter / 2 = 10in/2 = 5inches
h = height = 20in
Volume = πr²h
= 3.14 × 5² × 20
= 3.14 × 25 × 20
= 1570inches³
Since 1 inch = 2.54cm
1570 inch = (1570 × 2.54) = 3987.8cm³
Therefore, the volume of the cylinder is
3987.8cm³ cubic centimeters.
Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. Which of the following terms of trade between apples and oranges would allow both Alpha and Beta to gain by specialization and exchange?
A. 1 orange for 0.2 apples
B. 2 apples for 3 oranges
C. 3 apples for 3 oranges
D. 1 apple for 3 orange
A nation cannot have a comparative advantage in the production of every good. Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. The opportunity cost of producing 1 orange for Alpha and Beta, respectively, are: 0.5 apples; 0.25 apples.
What is proportion?A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province.
Here,
A country cannot have a competitive advantage in producing every good. Alpha can generate 18 oranges or 9 apples per hour, whilst Beta can produce 16 oranges or 4 apples per hour. The opportunity cost of producing one orange for Alpha and Beta is 0.5 apples and 0.25 apples, respectively.
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Work out the equation of the line shown below.
Give your answer in the form y = mx + c, where m and c are
integers or fractions in their simplest forms.
to get the equation of any straight line, we simply need two points off of it, let's use those from the picture below.
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{-100})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{140}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{140}-\stackrel{y1}{(-100)}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{(-10)}}} \implies \cfrac{140 +100}{30 +10} \implies \cfrac{ 240 }{ 40 } \implies 6[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-100)}=\stackrel{m}{ 6}(x-\stackrel{x_1}{(-10)}) \\\\\\ y +100 = 6 ( x +10)\implies y+100=6x+60\implies {\Large \begin{array}{llll} y=6x-40 \end{array}}[/tex]
Find the distance between the two points rounding to the nearest
(if necessary)
tenth
(1, -6) and (-8, -4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-8 - 1~~)^2 + (~~-4 - (-6)~~)^2} \implies d=\sqrt{(-8 -1)^2 + (-4 +6)^2} \\\\\\ d=\sqrt{( -9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }\implies d\approx 9.22[/tex]