Answer:
60°
Step-by-step explanation:
Assuming EAD is a straight line: 180 - 100 - 20 = 60°
Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.
The coordinate of point D and point E will be (x, y) and (-x, y), respectively.
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 in the m:n ratio, finding the mid-point of the line, etc.
Let the coordinate of the point D be (x, y).
Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.
And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).
The coordinate of point D and point E will be (x, y) and (-x, y), respectively.
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Identify the LCD of the rational expressions in the equation.
\(\frac{x}{x+3} + \frac{1}{x} = \frac{3}{x}\)
Answer: okay so i did the equation for you to find the least common denominator. hope that helps!
what is the reciprocal for 4/9
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
Can someone help me figure this out please? Derek has 277 stickers. What number can you use to describe how many stickers Derek has? Explain how you decided.
please help, I’ll mark you as brainliest!!:)
Answer:
q = 6
Step-by-step explanation:
9q - 8 + 134 = 180
9q - 8 = 46
9q = 54
q = 6
Answer:
q=6
Step-by-step explanation:
First, subtract:
180-134= 46
Then make an equation:
9q-8=46
Add 8 to both sides:
9q=54
Then divide by 9:
q=6
Hope this helps!
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
for what values of x are these functions defined x - 1
Answer:
The function is defined for all real numbers.
which can be denoted as >> R
What’s -10/-1 simplified
What’s -1/-3 simplified
Answer:
10 and 1/3
Step-by-step explanation:
Answer:
10
1/3
Step-by-step explanation:
In the context of this problem, which solutions to the polynomial equation can you eliminate because they do not make sense? x = –8 x = –4 x = 6
In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.
What is the solution to the equation?The given polynomial equation can be expressed as ;
x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6
We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation
x = -8
[(-8)³ + 6(-8)² - 40(-8)]
= 192
[-512 + 384 + 320]
= 192
x = -4,
[(-4)³ + 6(-4)² - 40(-4)]
[-64 + 96 + 160 ]
= 192
x = 6
[(6)³ + 6(6)² - 40(6) ]
216 + 216 - 240
= 192
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Answer:
Step-by-step explanation:
A,B
x = –8
x = –4
Suppose we want a 99% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent has a normal distribution with standard deviation $34. (a) How large should the sample be to guarantee the margin of error will be no more than $3?(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)
Answer:
a) 855
b) We would need a Larger sample.
Step-by-step explanation:
(a) How large should the sample be to guarantee the margin of error will be no more than $3?
The formula for Margin of Error = z × Standard deviation/√sample size
z = z score of 99% confidence interval = 2.58
Standard deviation = $34
Sample size = n = unknown
Margin of Error = $3
√n = z × Standard deviation/Margin of Error
Square both sides
n = (z × standard deviation/Margin of Error)²
n =( 2.58 ×34/ 3)²
n = (29.24)²
n = 854.9776
Approximately, the size of the sample be to guarantee the margin of error will be no more than $3 is 855
(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)
We would need a Larger sample.
This is because, the larger the sample, the smaller the margin of Emerror and the smaller the sample, the larger the margin of error. Therefore, for the question b, we would be needing a larger sample.
mr samson has two kinds of druit in his basket. The ration fo apples to oranges in the basket is 2:3. if there are 6 apples how. many pieces of fruit are in his basket?
A.16
B.6
C.15
D.9
Evaluate 7+4b when b= 3
Answer:
19
Step-by-step explanation:
7+ 4(3)
7+12= 19
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A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ratio to make 1900 pounds of a high grade 55% protein ration how many pounds of each should he use
The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.
To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.
Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.
The total weight equation is given by:
x + y = 1900
The protein content equation is given by:
(0.70x + 0.20y) / 1900 = 0.55
Simplifying the second equation, we get:
0.70x + 0.20y = 0.55 × 1900
0.70x + 0.20y = 1045
Now, we can solve this system of equations to find the values of x and y.
Rearrange the first equation to solve for x:
x = 1900 - y
Substitute this expression for x in the second equation:
0.70(1900 - y) + 0.20y = 1045
1330 - 0.70y + 0.20y = 1045
1330 - 0.50y = 1045
-0.50y = 1045 - 1330
-0.50y = -285
y = -285 / -0.50
y = 570
Now substitute this value of y back into the first equation to find x:
x + 570 = 1900
x = 1900 - 570
x = 1330
Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.
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if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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12x-20=n(3x-5) what does n equal
QUESTION:-↓
The dimensions of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square meter.
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Given dimensions of the room:
Length: \(\displaystyle\sf 12.5 \,m\)
Width: \(\displaystyle\sf 9 \,m\)
Height: \(\displaystyle\sf 7 \,m\)
Area of each wall:
\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)
\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)
Area of each door:
\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)
Area of each window:
\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)
Total area occupied by doors:
\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)
Total area occupied by windows:
\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)
Total wall area excluding doors and windows:
\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)
\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)
\(\displaystyle\sf = 275 - 6 - 6\)
\(\displaystyle\sf = 263 \,m^2\)
Cost of painting the walls:
\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)
\(\displaystyle\sf = 263 \times 3.50\)
\(\displaystyle\sf = 920.50 \,Rs\)
Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.
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Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the pattern in the table?
p 2 3 4 5
c 30 20 15 12
c = 60 ÷ p
c = 60 – p
c = 60p
c = 60 + p
For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p
Describe probability. Describe using an example.Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.
The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10.
. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer: The height of the water was 2 inches before any water was added.
The number of trees (n) that the average American uses in paper products varies directly with the time (t) in years. Assume that the constant of proportionality is 7. Write an equation that represents the proportional relationship between n and t using the given information.
\(n=7t\).
Step-by-step explanation:1. Theory.Linear equations are those that contain constants of proportionality, and they have the following form:
\(y=mx+b\); where "m" represents the constant of proportionality and "b" is the y-intercept.
2. Form the equation.We are being asked to make a function whose n value (number of trees) varies directly with time (t). This means that the independent variable is time, because it determines the number of trees. Hence, we know that "t" is going to be our "x" value and "n" is going to be our "y". Finally, we know that the constant of proportionality "m" is 7.
Edit the previously presented model and adapt it to this case:
\(y=mx+b\\ \\n=7t\)
Note: The value of the y-intercept was removed since the problem didn't give a value for it.
3. Present the equation.
\(n=7t\); where "n" is the number of trees that the average American uses in paper products and "t" is time in years.
gordan types 1800words in 25minutes words per minute
Answer:
ok? if the question is how many words does he type in a minute the answer is 72
Step-by-step explanation:
Answer:
72 is right i check
Step-by-step explanation:
he/she comment the same so it was there idea
solve for absolute value: 3(r+1)+2>-7
Answer:
\(\huge\boxed{\bf\:r > -4 }\)
Step-by-step explanation:
\(3(r+1)+2 > -7\)
Use the distributive property to solve 3 (r + 1).
\(3r+3+2 > -7 \\3r + 5 > -7\)
Now, bring 5 to the right hand side of the inequality .
\(3r > -7-5 \\3r > -12\)
Divide both sides of the inequality by 3.
\(r > \frac{-12}{3} \\\boxed{\bf\:r > -4 }\)
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f(x)=ax^2bx+c
determine the y-intercept and zeros
Answer:
The y intercept is c
The zeroes are the quadratic formula.
Step-by-step explanation:
Let x=0.
\(a(0) {}^{2} + b(0) + c\)
\(0 + 0 + c\)
\(c\)
The y intercept is c
To find the zeroes,
This gonna to take a minute so the answer to the problem is the quadratic formula.
Another one lol
What is the area, in square meters, of the shaded part of the rectangle below?
97 points
Answer: 210 square meters
Step-by-step explanation:
20 × 16 = 320
1/2 (20 × 11) = 110
320-110=210
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins. when the two crews start working together, what part of all the garbage bins will the first garbage truck empty?
Answer:
0.6
Step-by-step explanation:
Answer:
A. 0.6
Step-by-step explanation:
Zoo's Victoria is building a new enclosure for one of their Gorilla's. They have two Gorilla in the one space and they are fighting and causing injury to each other.
The zoo obtained two quotes from the JKL Builders.
Quote 1- $535,000 with everything manual
Quote 2- $640,000 with all of the doors and feeders automated and extra platforms
They have decided to go with Quote 2. They already have grants and sponsorship for $450,000 and are planning a fundraiser for the rest.
In the box below write your answers
a. How much do they need to raise?
Answer:
The zoo needs to raise $190,000 to fund the construction of the new enclosure.
Step-by-step explanation:
The total cost of Quote 2 is $640,000, and the zoo already has grants and sponsorship of $450,000. Therefore, they need to raise the remaining amount:
$640,000 - $450,000 = $190,000
The zoo needs to raise $190,000 to fund the construction of the new enclosure.
The volume of the polyhedron is ______ cm3.
4. There are 37 students in the class.
Each student sold 41 boxes of nuts
About how many were sold?
(A) 1000
(B
1600
(C) 2000
DI 2400
Answer:
B)1600
Step-by-step explanation:
Answer:
2000
Step-by-step explanation:
41 × 37 = 1517
Approximate 1517
a-2>4 solve for the inuquality graph the solution
Answer:
a > 6
Step-by-step explanation:
\(a-2 > 4\\=a-2+2 > 4+2\\a > 6\)
GraphWhat is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.