Write down the bearing of: (a) Henly from Dinder (b) Dinder from Weare (c) Weare from Dinder (d) Weare from Henly (e) Dinder from Henly (f) Henly from Weare
Answers
The bearing of the individuals from each other are as indicated below;
S45°EN25°ES65°ES15°EN45°EN75°EWhat is bearing of Henley from Dinder?It follows from the task content that the bearing of the individuals from each other are expected to be determined.
a) For Henley from Dinder; it follows from observation that Henley is; S45°E of Dinder's position.
b) For Dinder from Weare; it follows from observation that Dinder is; N25°E of Weare's position.
c) For Weare from Dinder; it follows from observation that Weare is; S65°E of Dinder's position.
d) For Weare from Henly; it follows from observation that Weare is; S15°E of Dinder's position.
e) For Dinder from Henly; it follows from observation that Dinder is; N45°E of Henly's position.
f) For Henly from Weare; it follows from observation that Henly is; N75°E of Weare's position.
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Related Questions
Compare 160 square root and 116/9
Answers
When comparing the two numbers we get that 116/9 is greater than square root of 160.
The square root of 160
= √160
= 12.6491...
≈ 12.65
The fraction number is 116/9 , converting to decimal we get:
116/9
= 12.888
≈ 12.89
Now comparing the two numbers we get:
12. 89 > 12.65
hence 116/9 > 12.65
The opposite of squaring an integer is finding its square root. Finding a number that, when squared, yields the original value will reveal the square root of a number, which is found by multiplying it by itself. If "a" is equal to "b" squared, then a = b.
Every number has four roots that are four by four, one of a positive value and one of a negative value, because the square of almost any integer always represents a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of an integer is typically expressed using only the positive value.
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8 m (cubic meters) = dm3 (cubic decimeters)
Answers
Answer: 8000 dm³
Step-by-step explanation:
1 m³= 1000 dm³
----------------------------------------------------
Given
8 m³= dm³
Solve
8 m³ × 1000 dm³/m³=8000 dm³
Hope this helps!! :)
Please let me know if you have any questions
What are the next letters in the following pattern 2,-3,4,-5
Answers
The next letters in the pattern are 6 and -7.The given pattern alternates between positive and negative numbers. By observing the pattern, we can determine the next numbers in the sequence.
The first number, 2, is positive. The second number is obtained by taking the negative of the previous number and subtracting 1. Therefore, -2 - 1 = -3.The third number is positive and is obtained by taking the absolute value of the previous number and adding 1. Therefore, |-3| + 1 = 4.
The fourth number is negative and is obtained by taking the negative of the previous number and subtracting 1. Therefore, -4 - 1 = -5.
Following this pattern, the next number will be positive and obtained by taking the absolute value of the previous number and adding 1. Therefore, |-5| + 1 = 6.
The next number after 6 will be negative and obtained by taking the negative of the previous number and subtracting 1. Therefore, -6 - 1 = -7.
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Statement 4(6x+1) +4 =104 reason ?
Answers
Answer:
x = 4
Step-by-step explanation:
4(6x+1) +4 =104
-4 -4
4(6x+1) = 100
distribute
24x + 4 = 100
-4 -4
24x = 96
x = 4
To check your work, substitute the x value into the equation.
4(6(4)+1) +4 =104
4(25) + 4 = 104
104 = 104
It is correct, one solution.
if a type of brass is made in the ration 3:7 by zinc and copper and you need 2kg of brass how much grams of zinc do you need?
Answers
Answer:
600g
Step-by-step explanation:
ratio 3:7 means there are 3 + 7 = 10 PARTs. zinc is 3/10 (30%) and copper is 7/10 (70%).
2kg = 2000g (of brass).
2000/10 = 200 (for one PART).
zinc is 30% (3 parts).
so we need 3 X 200 = 600g of zinc.
Please help!!
Find the value of x!
Answers
Answer:
x = \(\frac{16}{3}\)
Step-by-step explanation:
Since the triangles are similar then the corresponding sides are congruent.
EF and BC are corresponding sides , then
8x - 3 = 5x + 13 ( subtract 5x from both sides )
3x - 3 = 13 ( add 3 to both sides )
3x = 16 ( divide both sides by 3 )
x = \(\frac{16}{3}\)
Nick put a ladder up against the house to try and reach a light that is out and needs to be changed. He knows the ladder is 10 feet long and the distance from the base of the house to the bottom of the ladder is 4 feet. What is the angle of elevation of the ladder?
Answers
Answer:
a^2+b^2=C^2
10^2+4^2=C^2
100+16=C^2
square root of 116= square root of C^2
square root of 116= 10.77
Step-by-step explanation:
umm nvmd, I read it wrong
but the answer is 90 degrees. ignore the math lol
According to a research​ survey, 34​%
of adults are pessimistic about the future of marriage and family. That is based on a random sample of about 1900 people from a much larger body of adults. Is it reasonable for research team to use a Normal model for sampling distribution of sample​ proportion?Why or why​ not?
Choose the correct answer below.
A.Yes. The data are from a random​ sample, meeting the Randomization Condition. The data have at least 10 successes and 10​ failures, meeting the​ Success/Failure Condition. The population is much larger than the​ sample, meeting the​ 10% Condition.
B.No. The data are not from a random​ sample, failing the Randomization Condition. The data have at least 10 successes and 10​ failures, meeting the​ Success/Failure Condition. The population is much larger than the​ sample, meeting the​ 10% Condition.
C.Yes. The data are from a random​ sample, meeting the Randomization Condition. The data have less than 10 successes and 10​ failures, meeting the​ Success/Failure Condition. The population is much larger than the​ sample, meeting the​ 10% Condition.
D.No. The data are from a random​ sample, meeting the Randomization Condition. The data have less than 10 successes and 10​ failures, failing the​ Success/Failure Condition. The population is much larger than the​ sample, meeting the​ 10% Condition.
Answers
Yes.
The data are from a random sample, meeting the Randomization Condition.
The data have at least 10 successes and 10 failures, meeting the Success/Failure Condition.
The population is much larger than the sample, meeting the 10% Condition. A
It is reasonable for the research team to use a Normal model for the sampling distribution of the sample proportion.
A Normal model for the sampling distribution of a sample proportion, three conditions must be met:
The Randomization Condition, the Success/Failure Condition, and the 10% Condition.
The Randomization Condition is met as the sample is selected randomly from a much larger population of adults.
The Success/Failure Condition is also met because the sample size is large enough (n = 1900) for us to expect at least 10 successes (those who are pessimistic about the future of marriage and family) and 10 failures (those who are optimistic about the future of marriage and family).
The sample proportion of pessimistic adults is 34%, which corresponds to 646 successes in the sample.
The 10% Condition is also met as the sample size (n = 1900) is less than 10% of the total population of adults.
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what is the SMALLEST number that 4 and 10 goes into
I cant use my brain rn
Answers
Answer:
20
Step-by-step explanation:
multiples
4,8,12,16,20
10,20
Point Q lies in the interior of ZRST.
(1
If mZRST= 125°, mZRSQ = 4x-7, mZQST= 11x + 12, then find x.
Answers
X is equal to 174
Find the equation of the line passing through the points (-3,3) and (2,-32). Write your answer in the form Y=mx+b
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
point 01 (-3, 3)
point 02 (2 , -32)
Step 02:
equation of the line (y = mx + b)
slope = m
\(m=\frac{y2-y1}{x2-x1}=\frac{-32-3}{2-(-3)}=\frac{-35}{2+3}=\frac{-35}{5}=-7\)(y - y1) = m (x - x1)
(y - 3) = -7 (x - (-3))
y - 3 = -7 (x + 3)
y = -7x - 21 + 3
y = -7x - 18
The answer is:
y = -7x - 18
Philip’s meal costs $12.82 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. What amount of money should he leave as a tip?
Answers
Answer:
$2.56
Step-by-step explanation:
If you multiply 12.82 by .20, you would get 2.564. Then you just round it up and the answer you get is $2.56. Hope this helps!
Write the quadratic equation whose roots are −3 and 6, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)
Answers
Expanding the equation gives us the final quadratic equation is 5x^2 - 15x - 30 = 0.
The quadratic equation with roots −3 and 6 can be written in the form:
(x - r1)(x - r2) = 0,
where r1 and r2 are the roots of the equation. Substituting the given roots, we have:
(x - (-3))(x - 6) = 0,
which simplifies to:
(x + 3)(x - 6) = 0.
To include the leading coefficient of 5, we can multiply both sides of the equation by 5:
5(x + 3)(x - 6) = 0.
Expanding the equation gives us the final quadratic equation:
5x^2 - 15x - 30 = 0.
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I need help!! Will mark brainliest if right!
Answers
Answer:
7
Step-by-step explanation:
Let the missing value of y in the table be a.
Since, the slope of the line through the ordered pairs (1, 3), (2, a) is 4.
\( slope = \frac{a - 3}{2 - 1} \\ \\ 4 = \frac{a - 3}{1} \\ \\ 4 = a - 3 \\ \\ 4 + 3 = a \\ \\ a = 7\)
Thus, the missing value of y in the table is 7
i need help please, this question has been giving me a headache.
Answers
Answer:
The first box (upper left corner)
Step-by-step explanation:
Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.
Example:
y = 3x + 2 (0,2) is the y-intercept.
Therefore, the second number must equal 1/4 which the first box is correct.
(Negative 1/4 multiplied by -1 equals positive 1/4)
the radius of the earth - the distance from surface to core - is 6,370 kilometers. the planet neptune is 24,620 kilometers. if a scale model of the earth is drawn with a radius of 2.5 centimeters, how large would a scale model of neptune have to be drawn? group of answer choices 9848 cm 9.7 cm 2548 cm 0.02548 cm 3.86 cm
Answers
We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.
We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:
Neptune's radius is equal to the product of Earth's radius and its scale model.
With the provided values, we may simplify and obtain:
24620 km / 6370 km equals 2.5 cm / r
We obtain the following when solving for "r":
r = (24620 km * 2.5 cm) / (6370 km)
r ≈ 9.7 cm
Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.
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A congressman is running for re-election and wishes to gauge the opinion of his constituents on whether he will be re-elected or not: Preliminary polling suggests that approximately 52% of the people voting will vote in his favor: If the congressman randomly selects sample of 250voters; what is the probability that over half of them vote for him?
Answers
The probability that over half of the randomly selected 250 voters will vote for the congressman can be calculated using binomial probability.
To calculate the probability, we can use the binomial probability formula: P(X > n/2) = 1 - P(X ≤ n/2). In this case, X represents the number of voters who vote in favor of the congressman, and n is the total number of voters in the sample (250).
Using the binomial probability formula, we can calculate P(X > 250/2) = 1 - P(X ≤ 250/2). First, we need to calculate P(X ≤ 250/2), which represents the cumulative probability of getting n/2 or fewer voters in favor.
To calculate P(X ≤ 250/2), we sum the probabilities of getting 0, 1, 2, ..., 125 voters in favor. Each probability can be calculated using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) represents the number of combinations of n items taken k at a time, and p is the probability of success (in this case, voting in favor of the congressman).
Finally, we subtract P(X ≤ 250/2) from 1 to get the probability that over half of the voters will vote for the congressman: P(X > 250/2) = 1 - P(X ≤ 250/2).
Note: The values of n, p, and the calculations will depend on the specific numbers provided in the problem.
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Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%
Answers
A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.
B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.
Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:
A)
64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = XTherefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.
B)
56 = 100 16 = X 16 x 100/56 = X 28.57 = XTherefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.
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Answer:
A=87.5% b=28.57
Step-by-step explanation:
ADVICE PLEASE LOOK AT THIS VERY HELPFUL
PART percent
--------- over = ----------------- over Cross multiply and then divide by 100
WHOLE 100%
Triangle ABC has angle measures as shown.
Triangle
Triangle A B C. Angle A measures 35 degrees, angle B measures 52 degrees, and angle C measures 3 times left parenthesis x plus 2 right parenthesis degrees.
What is the value of x? Show your work.
What is the measure of angle C? Show your work.
Answer:
Answers
Answer:
29 degrees
Step-by-step explanation:
If I read your question correctly, your degree measures were
35, 52, and 3(x+2).
We know that all triangle angles measure up to 180 degrees, so we can add all of the given degree values to 180.
35+52+3(x+2)=180
Now, we can solve for x.
87+3x+6=180
93+3x=180
3x=87
x=29
Point B on the number line shows penny score after the first round of a quiz in round two he lost six point watch equation shows how many total points he has at the end of round 2 (I’ll mark brainlist but I really need help I’ve been stuck on this for 30 minutes)!!
Answers
Answer:
the answer is the last one
Answer:
the answer is D hope this helps
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth. 15 cm The volume of the cylinder is about cubic centimeters.
Answers
Answer:
Volume (V) ≈ 804.3 cm³
Step-by-step explanation:
Given the diagram of a cylinder with the following dimensions:
Diameter = 8 cm
Height = 16 cm
We can use the following formula for finding the volume of a cylinder:
Volume (V) = πr²h
Since the formula requires the value of the cylinder's radius, we can derive this value from the given diameter of 8 cm.
We know that the radius of a circle is half the measure of its diameter.Thus, the radius of the cylinder is 4 cm.
Substitute the given values for the height and the derived measure of the radius into the following formula for the volume of a cylinder:
Volume (V) = πr²h
Volume (V) = π(4)²(16)
Volume (V) = π(16)(16)
Volume (V) = 256π
Volume (V) ≈ 804.25 cm³ or 804.3 cm³
Therefore, the volume of the given cylinder is approximately 804.25 cm³ or 804.3 cm³.
if the m
a. complementary angles
b. supplementary angles
c. linear pair
d. vertical angles
quickly plzz!!
Answers
Answer:
you're question is not clear enought
Step-by-step explanation:
I'm so confused.
(-7, -8) slope = 1/2Write a linear equation in the slope-intercept form given each point and slope
Answers
The slope-intercept form is:
y = mx + b
Where
m is the slope
b is the y-intercept
Given Slope = 1/2, we can write:
\(y=\frac{1}{2}x+b\)Now, to find b, we put the point given (-7, -8), so:
\(\begin{gathered} y=\frac{1}{2}x+b \\ -8=\frac{1}{2}(-7)+b \\ -8=-\frac{7}{2}+b \\ b=-8+\frac{7}{2} \\ b=\frac{-8(2)+7}{2} \\ b=\frac{-16+7}{2} \\ b=\frac{-9}{2} \end{gathered}\)Thus, we have the final equation as:
\(y=\frac{1}{2}x-\frac{9}{2}\)A hot air balloon rises from the ground to 150 feet elevation. But the wind is too strong, so the pilot ascends another 75 feet
Answers
Answer: 225
Step-by-step explanation:
I may not be right but I’m taking that ascends is basically adding up the height so 150+75=225
SOMEBODY HELP ME PLEASE
Answers
Answer: V ≈ 619.1
Explanation:
Volume of a cone = 1/3 πr2h
V = 1/3 (π x 6.5^2 x 14)
V = 1/3 x 1,857.31
V = 619.1033333333333
V ≈ 619.1
Find points on the ellipse x^2/9 y^2 closest to (2,0)
Answers
the points on the ellipse that are closest to the point (2,0) are (2, sqrt(5/9)) and (2, -sqrt(5/9)).
To find the points on the ellipse x^2/9 + y^2 = 1 that are closest to the point (2,0), we can use the method of Lagrange multipliers. We want to minimize the distance between the point (2,0) and a point (x,y) on the ellipse, subject to the constraint that the point (x,y) satisfies the equation of the ellipse. Therefore, we need to minimize the function:
f(x,y) = sqrt((x-2)^2 + y^2)
subject to the constraint:
g(x,y) = x^2/9 + y^2 - 1 = 0
The Lagrange function is:
L(x,y,λ) = sqrt((x-2)^2 + y^2) + λ(x^2/9 + y^2 - 1)
Taking the partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we get:
∂L/∂x = (x-2)/sqrt((x-2)^2 + y^2) + (2/9)λx = 0
∂L/∂y = y/sqrt((x-2)^2 + y^2) + 2λy = 0
∂L/∂λ = x^2/9 + y^2 - 1 = 0
Multiplying the first equation by x and the second equation by y, and using the third equation to eliminate x^2/9, we get:
x^2/9 + y^2 = 2xλ/9
x^2/9 + y^2 = -2yλ
Solving for λ in the second equation and substituting into the first equation, we get:
x^2/9 + y^2 = -2xy^2/2x
Multiplying both sides by 9x^2, we get:
9x^4 - 36x^2y^2 + 36x^2 = 0
Dividing by 9x^2, we get:
x^2 - 4y^2 + 4 = 0
This is the equation of an ellipse centered at (0,0), with semi-axes of length 2 and 1. Therefore, the points on the ellipse x^2/9 + y^2 = 1 that are closest to the point (2,0) are the points of intersection between the ellipse and the line x = 2.
Substituting x = 2 into the equation of the ellipse, we get:
4/9 + y^2 = 1
Solving for y, we get:
y = ±sqrt(5/9)
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A negative number raised to an exponent is positive. Which of the following is not true?
A. The number could be even
B. The number could be odd
C. The exponent could be even
D. The exponent could be odd
Answers
Answer:
the number could be odd.
Answer:
the number could be odd
Step-by-step explanation:
which of the following is a difference of cubes?
a. 3x^9-64y^3
b. 15x^21-64y^3
c. 27x^15-9y^3
d. x^6+27y^9
Answers
Answer:
D: x^(6) + 27y^(9)
Step-by-step explanation:
A) 3x^(9) - 64y^(3)
The first term is raised to the power of 9 and has a coefficient which cannot also be expressed as a cube while the second term is raised to the power of 3 but has a coefficient that can be expressed as a cube. Thus the entire equation cannot be simplified to cubes as the first term cannot be expressed a cube.
B) 15x^(21) - 64y^(3)
Similar to the reason given in A above, the first term cannot be expressed as a cube.
C) 27x^(15) - 9y^(3)
In this one, the first term can be expressed as a cube while the second one cannot be expressed as a cube because 9 cannot be expressed as a cube.
D) x^(6) + 27y^(9)
This can be expressed as;
(x²)³ - (-3y³)³
This is therefore a difference of cubes
if the digits can be repeated, how many 3-digit numbers can be formed using the digits 1, 2, 3, and 4
Answers
There are 64 different 3-digit numbers that can be formed using the digits 1, 2, 3, and 4, allowing for digit repetition.
How many ways can we create a 3-digit number using the digits 1, 2, 3, and 4, allowing for repetition?If the digits 1, 2, 3, and 4 can be repeated, we can calculate the number of possible combinations by multiplying the number of options for each digit. In this case, we have four choices for each of the three digits. Thus, we have 4 x 4 x 4 = 64 different combinations. Each combination represents a unique 3-digit number that can be formed using the given digits.
To understand this better, let's break it down. The first digit can be any of the four given digits: 1, 2, 3, or 4. Similarly, the second and third digits can also be any of the four options. Since each digit can be repeated, we multiply the number of options for each digit to find the total number of combinations.
Therefore, there are 64 different 3-digit numbers that can be formed using the digits 1, 2, 3, and 4, allowing for repetition.
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Suppose y varies directly with x, and y = 60 when x = 12. What is y when x is 20?
Answers
Step-by-step explanation:
y = kx, where k is a real constant.
When x = 12, y = 60.
=> (60) = (12)k, k = 5.
Therefore when x = 20,
y = kx = (5)(20) = 100.