The value of angle CDE is 140 degrees
How to determine the valueThe formula used for calculating the sum of the angles in a polygon is;
(n -2)180
where n is the number of sides of the polygon
Then, we have;
(6-2)180 = 720 degrees
From the information given, we have that;
Angle CDE = 2(DEF)
Substitute the values
115 + 145 + 90 + 160 + DEF + 2DEF = 720
Now, add the values, we get;
DEF + 2DEF + 510 = 720
collect the like terms
3DEF = 210
Divide by the coefficient
<DEF = 70
Then, angle CDE = 140 degrees
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PLEASE HELP HURRY PLEASEEE Noah has 184 apples he gave 60 apples away how many friends did he gave apples to.
Answer:
60 friends
Step-by-step explanation:
If Noah has 184 apples and only gave away 60 I would be assuming that he has 60 friends. You didn't give a good question and this is my best guess.
- Hope this helps
vinny made a password that consists of 3 digits. none of the digits are the same. how many possible passwords did vinny choose from?
Answer: 720 possible passwords
Step-by-step explanation:
good luck!
Vinny made a password consisting of 3 digits, and since none of the digits are the same, the first digit can be any number from 1 to 9, the second digit can be any number from 0 to 9 excluding the first digit, and the third digit can be any number from 0 to 9 excluding the first two digits. Therefore, the possibility of passwords Vinny could choose from is: 9 x 9 x 8 = 648 possible passwords.
Vinny made a password consisting of 3 unique digits. To determine the number of possible passwords, we need to consider the available options for each digit.
For the first digit, Vinny can choose any of the 10 digits (0-9), but since the leading digit cannot be 0, there are 9 choices (1-9). For the second digit, Vinny has 9 options remaining (10 digits minus the first digit). And for the third digit, there are 8 options left (10 digits minus the first two digits).
To calculate the total number of possible passwords, simply multiply the options for each digit: 9 (first digit) * 9 (second digit) * 8 (third digit) = 648 possible passwords.
So, Vinny had 648 possible passwords to choose from.
Vinny made a password consisting of 3 digits, and since none of the digits are the same, the first digit can be any number from 1 to 9, the second digit can be any number from 0 to 9 excluding the first digit, and the third digit can be any number from 0 to 9 excluding the first two digits. Therefore, the number of possible passwords Vinny could choose from is:
9 x 9 x 8 = 648 possible passwords.
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Sales person has $250,000 sales last year which is 65% of the sales she had this year which equation could be used to determine X the sales person, total amount of sales in dollars for this year explain your answer
The total amount of sales in dollars for this year is $162500.
It is given that Sales person has $250,000 sales last year which is 65% of the sales she had this year.
We can write the equation to determine the value of {x} as -
{x} = 65% of 250000
{x} = 65/100 x 250000
{x} = 65 x 2500
{x} = 162500
Therefore, the total amount of sales in dollars for this year is $162500.
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13. Write an equation in slope intercept form given m = -25 and point ( 30.450)
Part B: If the input is 20 what is the output?
[tex](\stackrel{x_1}{30}~,~\stackrel{y_1}{450})\hspace{10em} \stackrel{slope}{m} ~=~ - 25 \\\\\\ \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}{450}=\stackrel{m}{- 25}(x-\stackrel{x_1}{30}) \\\\\\ y-450=-25x+750\implies \boxed{y=-25x+1200} \\\\\\ \stackrel{\textit{if x = 20, what's "y"?}}{y=-25(20)+1200}\implies \boxed{y=200}[/tex]
directions solve for x, round sll answers to the nearest tenth.
The values of x in each of the triangles is given thus;
5. x = 11. 87
6. x = 27. 19
7. x = 4. 56
8. x = 42. 38
9. x = 36. 87 degrees
10. x = 18. 32 degrees
How to determine the valuesIt is important to note the trigonometric identities in mathematics are;
sine tangentcosinecosecantsecantcotangentThe different ratios are;
sin θ = opposite/hypotenuse
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
From the information given, we have;
1. Using the cosine identity;
cos 32 = x/14
cross multiply the values
x = 11. 87
2. Using the sine identity;
sin 54 = 22/x
x = 27. 19
3. Using the tangent identity;
tan 75 = 17/x
cross multiply
x = 4. 56
4. cos 43 = 31/x
cross multiply the values
x = 42. 38
5. tan x = 9/12
divide the values
tan x = 0.75
find the inverse
x = 36. 87 degrees
6. sin x = 11/35
Divide the values
sin x = 0. 3142
x = 18. 32 degrees
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06.06 Transitioning to the End Worksheet
Answer the following questions in complete sentences that reflect on the narrative writing process.• Prompt 1: There is one door you pass every day that is always locked. However, one day, you pass by and it's slightly ajar. You decide to walk in. Plan a narrative about what you find and what happens when you enter.
Reflection Question My Response
Which plot element (exposition, rising action, climax, falling action, resolution) was the most difficult to write? Why?
Which two narrative techniques (dialogue, flashback, foreshadowing, juxtaposition, pacing, sensory details) did you use in your writing?
Copy and paste an example of each from your narrative.
What is the theme (or lesson learned) from your narrative? Use a complete sentence.
The narrative techniques used in this story are:
sensory detailsforeshadowing.The theme of this narrative is to never give up and to always follow your curiosity.
In the narrative, the climax is the most challenging part because it was the point where the story reached its highest level.
Narrative of the reflected sentence:I noticed the locked door that I passed every day was slightly ajar as I walked by it. Curiosity got the better of me, and I pushed the door open, eager to see what was inside.
The room was dark, but as my eyes adjusted to the dim light, I realized I'd found a forgotten storage room. The room was cluttered with old boxes and furniture, but as I rummaged through it, I discovered a small locked chest.
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If $300 is invested at a rate of 5% per year and is compounded quarterly, how much will the investment be worth in 20 years? Use the compound interest formula A equals P times the quantity 1 plus r divided by n end quantity raised to the power of n times t..
The investment will be worth approximately $633.96 in 20 years if it is invested at a rate of 5% per year and compounded quarterly.
What is compound interest?The interest you earn on interest is known as compound interest. Simple maths can be used to demonstrate this: if you have $100 and it earns 5% interest annually, you will have $105 at the end of the first year.
We can use the compound interest formula to calculate the future value (A) of the investment:
[tex]A = P(1 + r/n)^{(n*t)[/tex]
where:
P = the principal amount (initial investment) = $300
r = the annual interest rate = 5% = 0.05 (decimal)
n = the number of times the interest is compounded per year = 4 (quarterly)
t = the number of years the money is invested for = 20
Plugging in the values, we get:
[tex]A = 300(1 + 0.05/4)^{(4*20)[/tex]
A = 300(1.0125)⁸⁰
A = 300(2.1134)
A = $633.96
Therefore, the investment will be worth approximately $633.96 in 20 years if it is invested at a rate of 5% per year and compounded quarterly.
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Answer: $810.45
Step-by-step explanation:
Algebra 1 quadratic to standard form
Answer: (x + 9)^2 = x^2 + 18x + 18
Step-by-step explanation:
A neat trick that can help you get this answer is the box method, Draw a box with 4 smaller boxes in it. Then on the right of the box, but the first box(outside on the right) x, bottom from there, but 9. At the top of the box(first square) put x again and beside it, another 9, we do this because when a variable is with a constant inside parentheses, they can't combine, so you do what's outside the parentheses, in this case its the exponent of 2. Then we do the math, x + x is x squared, x * 9 is 9x(when you multiply a variable and constant, you can combine those), 9 + 9 is 18, then you should get x^2 + 9x + 9x + 18, next you combine "Like Terms"(same values). They only Like Terms here would be 9x and 9x, when combining Like Terms, you must only add, don't multiply, 9x + 9x would be 18x. Then you got quadratic to standard.
(x + 9)^2 ---) x^2 + 18x + 18.
Given that x = 9.5 m and θ = 37°, work out AB rounded to 3 SF.
Answer:
The answer for y is
12.607m to 3SF
Step-by-step explanation:
tan0=x/AB
let AB be y
tan37°=9.5/y
tan37y=9.5
divide both sides by tan37
tan37y/tan37=9.5/tan37
y=12.607m to 3 significant figures
(question is in photo)
Answer:
To evaluate the function of f(x) for x=-2 we substitute-2 for x in the expression of the function
F(-2)= 20(-2)-4
F (-2)=-40 -4
F(-2) = -44
Therefore f(-2) = -44 when x= - 2
To evaluate the function f(x) for x =8 we substitute 8 for x in the express of the function
F(8)=20(8)-4
F(8) = 160-4
F(8)= 156
Therefore f(8) = 156 when x = 8
Alex collects x
marbles, and his friend collects twice the number of marbles he collects. If the sum of Alex’s and his friend’s collection is more than 18
, which number line represents the number of marbles Alex collects?
The total number of marbles collected by Alex is given by the inequality relation x > 6 , and the graph is plotted
Given data ,
Let the number of marbles collected by Alex be x
And , Alex's friend collects twice the number of marbles = 2x
Now , the sum of Alex’s and his friend’s collection is more than 18
So , ( x + 2x ) > 18
On simplifying , we get
3x > 18
Divide by 3 on both sides , we get
x > 6
Hence , the inequality is x > 6 , where x is the number of marbles collected by Alex
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The two lines below are parallel if the slope of the red line is 3 what is the slope for the green line
The slope for the green line is 3.
What is the slope of the green line?Slope is simply the measure of the steepness or incline of a line.
It the ratio of the vertical change between two points on a line to the horizontal change between the same two points.
Change in y-axis over change in x-axis.
If the two lines, red and green, are parallel, then they have the same slope.
Hence,
If the slope of the red line is 3, then the slope of the green line is also 3.
This is a fundamental property of parallel lines.
Therefore, the green line has slope of 3.
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Intersecting lines l, m, and n form a triangle.
What is the value of x?
The solution of x in the intersecting lines l, m, and n forming a triangle is 70
Calculating the measure of the angle x in the triangleFrom the question, we have the following parameters that can be used in our computation:
The intersecting lines l, m, and n that form a triangle.
Using the sum of opposite internal angles of a triangle, we have the following equation
x = 30 + 40
Evaluate the sum of the expressions
So, we have the following representation
x = 70
Hence, the calculated measure of the angle x is 70 degrees
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1. Matthew bough 6 doughnuts at the store for $0.35 each. He also purchased * a coke for $2.57. He gave the cashier a $10,00 bill. How much change did he get back?
Answer:
$5.33
Step-by-step explanation:
You want to know Matthew's change from a $10 bill if he bought 6 donuts for $0.35 each, and a Coke for $2.57.
ChangeThe amount of change is the difference between the amount tendered and the value of the purchase(s):
10 - (6×0.35 +2.57) = 5.33
Matthew received $5.33 in change.
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Simplify 7^-6 into fraction form using a positive exponent.
Answer:
[tex]\frac{1}{7^6}[/tex]
Step-by-step explanation:
When we have a negative exponent in the form a^-x, this is equal to 1/a^x.
We can apply this here, where a = 7, and x = 6.
Hence, 7^-6 = 1/(7^6)
What is the measure of the angle below?
A) 122 degrees
B) 58 degrees
C) 32 degrees
A) 122 degrees because it's an obtuse angle so the inner layer numbers is the ones you need to pick.
A study of a local high school tried to determine the mean amount of money that each student had saved. The study surveyed a random sample of 84 students in the high school and found a mean savings of 4700 dollars with a standard deviation of 1300 dollars. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest whole number.
pls help :)
The amount of money that each student has saved is between $ 4418 and $ 4982
Given data ,
To find the margin of error, we need to use the formula:
Margin of error = z (standard deviation / square root of sample size)
where z is the z-score associated with the desired confidence level.
For a 95% confidence level, the z-score is 1.96
On simplifying , we get
Margin of error = 1.96 (1300 / √(84))
Margin of error ≈ 282.3
Therefore, we can say with 95% confidence that the true mean amount of money that each student has saved is between 4700 - 282 = 4418 dollars and 4700 + 282 = 4982 dollars
Hence , the margin of error is solved
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I NEED HELP WITH NUMBER 1 PLEASE
Mary made costumes for the annual school play. She used rolls of blue fabric. If each roll had of fabric, what is the total length of the fabric she used? Write your answer in yards.
Use the table of conversion facts as necessary, and do not round your answer.
Answer:
It is not specified in the question how many rolls of fabric Mary used, so we can't calculate the total length of the fabric she used.
Find the area of the triangle.
A =
ft²
2/3
4 ft
3 ft
Answer:
A = (1/2)(3)(2/3) = 1 square foot
Mr. Gaygay has a P1,000-bill at the store, he asked that 2/5 exchanged into P50-bill and 1/2 into P100-bill and the rest into P20-bill. How many P50,P100, and P20 bills did he get?
Pls answer need it now!!! And please show an example
Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.
How to solve for the billslet's calculate the amounts to be exchanged for each type of bill:
P50-bills: (2/5) * P1,000 = P400
P100-bills: (1/2) * P1,000 = P500
Since these two amounts account for P900, the remaining amount will be P1,000 - P900 = P100, which will be exchanged for P20-bills.
Next, we will find the number of each type of bill:
P50-bills: P400 / P50 = 8
P100-bills: P500 / P100 = 5
P20-bills: P100 / P20 = 5
So, Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.
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the table above is a 3 by 3 grid of 9 numbers, 5 of which are given. the 4 numbers that are not given are denoted by a, b, c, and d. the product of the numbers in each row and in each column is the same for all rows and columns. what is the value of the product abcd ?
The above table of 3 by 3 grid of 9 numbers where 5 numbers are present, the product value of missing numbers in table, i.e, ABCD is equals to the [tex]12 \sqrt{3} .[/tex]
We have a table of 3 by 3 grid of 9 numbers present in above figure. That is table consists 3 rows (horizontal) and 3 columns (vertical). Five numbers are present out of 9 numbers in table. The missing numbers represented by A,B,C and D. We have to determine the product of ABCD. Now, product of the numbers in each row and in each column is the same, so
product of first row elements = product of first column elements[tex]2A\sqrt{3 } = AB\sqrt{3}[/tex]
=> B = 2
Product of first row elements = product of first column elements,[tex]6 \sqrt{6} = BC \sqrt{6} [/tex]
=> BC = 6
product of third row elements = product of third column elements[tex]2CD \sqrt{3} = D \times 6 \sqrt{3} [/tex]
=> C = 3
Now, the statement that product of the numbers in each row and in each column is the same is valid for all rows and columns. So,
product of first row elements= product of second row elements= product of third row elements, [tex]2 \sqrt{3} A = 6 \sqrt{3}= 2 \sqrt{3} CD[/tex]from first two equality, [tex]A = \frac{ 6\sqrt{6}}{2\sqrt{3}}[/tex]
=> [tex] A = 3\sqrt{2}[/tex]
From last two equality, [tex] 6 \sqrt{3} = 2 \sqrt{3} \times CD[/tex]
=> D = 1
Therefore, A = 2√3, B = 2, C =3, D = 1, so compute the product of numbers, ABCD
= [tex] 2×3×1×2 \sqrt{3} = 12 \sqrt{3} [/tex]
Hence, required value is [tex] 12 \sqrt{3} [/tex].
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Complete question:
The above table complete the question. the table above is A 3 by 3 grid of 9 numbers, 5 of which are given. the 4 numbers that are not given are denoted by A, B, C, and D. the product of the numbers in each row and in each column is the same for all rows and columns. what is the value of the product ABCD?
Help me fast please I’m stuck
Answer
QR=22.22%
PQ=44.44%
RS=33.33%
Not RS= 77.78%
Explanation
Probability is about determining how much of a part takes up the whole. In this case, the whole is 18, because this is the total length.
For QR, the length of the segment is 4, so we can say 4/18 because the segment is 4 parts of the 18 total length.
To determine percent, we divide and multiply by 100%
4/18=0.2222*100%=22.22%
Similarly, PQ is 8 parts of the whole 18, so
8/18=0.4444*100%=44.44%
And RS is:
6/18=0.3333*100%= 33.33%
We can verify that we are correct by adding all these percentages together, knowing that they should equal 100%. Here, we add them and get 99.99%, which verifies we are correct. There is an error of .01% because we have been rounding.
Finally, the parts that are not RS are QR and PQ, so we must add QR and PQ to determine how many parts they are of the 18 whole.
QR+PQ= 14/18=0.7778*100%= 77.78%
A heat teacher shared 60 notebook amoung 6 students one of the student found that each of his book contained 200 page. How many pages were in all the books he received?
Answer:
2,000 pages.
Step-by-step explanation:
The heat teacher has 60 notebooks in total. If the teacher evenly distributed the notebooks among the 6 students, then that would be
60 ÷ 6 = 10 notebooks to each student.
Now let's say a kid named Ethan found out each of his notebooks contains 200 pages. Ethan has 10 notebooks in total so he needs to do
10 × 200 = 2,000 pages in total.
We do 10 × 200 since Ethan has 10 notebooks, and each of his notebooks have 200 pages.
Thus 2,000 is the answer.
HELP ASAP !! What is a perfect square factor of 75?
A. 15
B. 25
C. 3
D. 5
Answer: the perfect square factor of 75 is 3
Step-by-step explanation:
Answer:
C. 3
Step-by-step explanation:
We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3.
Pls answer all the questions
1) Find the missing ordered pair of a rectangle that has the three given vertices.
A(-3,3), B(-3,-3), C(3,-3), D(x, y)
2) Find the missing ordered pair of a rectangle that has the three given vertices
E(0,5), F(0,0), G(5,5), H(x,y)
3) find the missing ordered pair of a square that has the three given vertices
J(-2,2), K(-2,-2), L(2,-2), M(x,y)
4) find the missing ordered pair of an isosceles right triangle that has the two given vertices.
P(0,0), Q(0,6), R(x,y)
Answer: number 3 is the answer!!!
Step-by-step explanation:
number 3!!!
1) To find the missing ordered pair of a rectangle, we can use the fact that opposite sides of a rectangle are parallel and equal in length. This means that the x-coordinate of D must be equal to the x-coordinate of A, and the y-coordinate of D must be equal to the y-coordinate of C. Therefore, D(-3, -3).
2) Similarly, we can use the fact that opposite sides of a rectangle are parallel and equal in length. This means that the x-coordinate of H must be equal to the x-coordinate of E, and the y-coordinate of H must be equal to the y-coordinate of F. Therefore, H(0, 0).
3) To find the missing ordered pair of a square, we can use the fact that all sides of a square are equal in length and all angles are right angles. This means that the distance between J and K must be equal to the distance between K and L, which is 4 units. Therefore, the distance between L and M must also be 4 units. Since L has an x-coordinate of 2, M must have an x-coordinate of 2 + 4 = 6. Similarly, since L has a y-coordinate of -2, M must have a y-coordinate of -2 + 4 = 2. Therefore, M(6, 2).
4) To find the missing ordered pair of an isosceles right triangle, we can use the fact that two sides of an isosceles triangle are equal in length and two angles are equal in measure. This means that the distance between P and Q must be equal to the distance between Q and R, which is 6 units. Therefore, R must be 6 units away from Q along the x-axis. Since Q has an x-coordinate of 0, R must have an x-coordinate of 0 + 6 = 6. Similarly, since Q has a y-coordinate of 6, R must have a y-coordinate of 6 - 6 = 0. Therefore, R(6, 0).
31. The table shows a relation that is a function, where x
is the input and y is the output.
Answer: 4, 5, 6, and 7
Step-by-step explanation:
In mathematics, a function is a relationship between inputs where each input is related to exactly one output.
So for the answer choices to work, they cannot have any of the x values that are already included in the table.
That eliminates 1, 2, and 3 as their x values are already in the table.
So the answer is 4, 5, 6, and 7
What would be the answer to this
Its in standard form.
If you get the answer please explain how you got it.Thanks
Answer:
D
Step-by-step explanation:
Straight across would be 180 degrees.
Halfway between the y-axis and x-axis (4 possibilities for this) is 45 degrees, which is 15 degrees above 30.
180 + 30 = 210, which is what we are looking for.
Therefore, it looks like the best answer is D, also because if it is negative, it is swinging from right to left (counter-clockwise), as D shows.
Hope this helps! If so, consider marking this answer brainliest? ;)
to test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the jacobs chemical company obtained the following data on the time (in minutes) needed to mix the material. manufacturer 1 2 3 24 31 19 30 29 18 28 34 22 26 30 21 a. use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. use . compute the values below (to decimals, if necessary). sum of squares, treatment sum of squares, error mean squares, treatment mean squares, error calculate the value of the test statistic (to decimals). the -value is - select your answer - what is your conclusion? - select your answer - b. at the level of significance, use fisher's lsd procedure to test for the equality of the means for manufacturers and . calculate fisher's lsd value (to decimals). what conclusion can you draw after carrying out this test?
(a) We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers at a significance level of 0.05. (b) Using Fisher's LSD procedure, we conclude that the means of manufacturers 1 and 2 are significantly different.
a) Using ANOVA to test the equality of the means for the three manufacturers, we find that the sum of squares for treatment is 260.80, sum of squares for error is 93.60, mean squares for treatment is 86.93, and mean squares for error is 7.40. The test statistic F is 11.74 with a p-value of 0.002. We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers.
b) Using Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 2, we find that the LSD value is 5.05. Since the difference between the means of manufacturers 1 and 2 (4.33) is greater than the LSD value, we can conclude that the means are significantly different.
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What is the value of the expression 5y2 + 10y-2when y=4
Answer:
118
Step-by-step explanation:
5y² + 10y - 2 y = 4
5(4)² + 10(4) - 2
= 5(16) + 40 - 2
= 80 + 40 - 2
= 120 - 2
= 118
To find the value of the expression 5y^2 + 10y - 2 when y = 4, we can substitute y = 4 in the expression and simplify as follows:
5y^2 + 10y - 2, when y = 4
= 5(4)^2 + 10(4) - 2 [Substituting y = 4]
= 5(16) + 40 - 2
= 80 + 38
= 118
Therefore, the value of the expression 5y^2 + 10y - 2 when y = 4 is 118.