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Part 1
Point B has coordinates (5,1). The x-coordinate of point A is −3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
The possible coordinates of the point A is (-3, -5) and (-3, 7)
How the coordinates of point A can be calculated?The given parameters are:
Point B = (5, 1)Distance between the two points, D = 10 unitsx-coordinate of point A = −3 i.e. A = (-3, y)The distance between any two points is calculated as
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
Substitute the known values in the above equation
So, we have
10 = √[(-3 - 5)² + (y - 1)²]
Evaluate
100 = 64 + (y - 1)²
Evaluate the like terms
(y - 1)² = 36
Take the square roots
y - 1 = ±6
This gives
y = 1 ± 6
So, we have
y = -5 and 7
Hence, the value of point A are (-3, -5) and (-3, 7)
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The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the sides of the box exactly
Answer:
8 cm
Step-by-step explanation:
The maximum length of the string will be the greatest common divisor of 32 , 16 , 8
32 = 2 * 2 * 2 * 2 * 2
16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
GCD = 2* 2 * 2 = 8
The maximum length of the string = 8 cm
what is $20.00 take away $4.60
help! I'll give brainliest!!!
Answer: V = 378 i think
Step-by-step explanation:
Let sin A = 1/3 where A terminates in Quadrant 1, and let cos B = 2/3, where B terminates in Quadrant 4. Using the identity:
cos(A-B)=cosACosB+sinAsinB
find cos(A-B)
Using trigonometric identity, cos(A-B) is:
\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)
How to find cos(A-B) using the trigonometric identity?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1 are positive
sin A = 1/3 (sine = opposite/hypotenuse)
adjacent = √(3² - 1²)
= √8 units
cosine = adjacent/hypotenuse. Thus,
\(cos A = \frac{\sqrt{8} }{3}\)
If cos B = 2/3 and B terminates in Quadrant 4.
opposite = √(3² - 2²)
= √5
In Quadrant 4, sine is negative. Thus:
\(sin B = \frac{\sqrt{5} }{3}\)
We have:
cos(A-B) = cosA CosB + sinA sinB
\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)
\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)
\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)
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Solve the triangle. B=67∘51′,c=36m,a=74m What is the length of side b ? b=m (Round to the nearest whole number as needed.) What is the measure of angle A ? A= (Round to the nearest whole number as needed.) What is the measure of angle C ? C= (Round to the nearest whole number as needed.)
The length of side b is 56m, angle A is 45°, and angle C is 67°.
What is the length of side b in the given triangle?In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.
To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:
Length of side b:Using the Law of Cosines, we have:
b² = a² + c² - 2ac * cos(B)
Substituting the known values:
b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')
Calculating the value of b:
b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))
b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)
Measure of angle A:Using the Law of Cosines again, we have:
cos(A) = (b² + c² - a²) / (2 * b * c)
Substituting the known values:
cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)
Calculating the value of A:
A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))
A ≈ 45° (rounded to the nearest whole number)
Measure of angle C:Using the fact that the sum of angles in a triangle is 180 degrees:
C = 180° - A - B
Substituting the known values:
C ≈ 180° - 45° - 67°51'
Calculating the value of C:
C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)
Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.
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A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 0.7 cm. The chocolate used in the bon-bons has a density of 1.27 g/cm^3 . If the chocolate used costs $0.04 per gram, how much would the chocolate for 140 bon-bons cost, to the nearest cent?
The chocolate for 140 bon-bons would cost approximately $6.13.
1. Calculate the volume of each chocolate bon-bon using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius.
V = (4/3)π(0.7 cm)³
V ≈ 1.437 cm³
2. Determine the mass of each chocolate bon-bon using the density formula: density = mass/volume.
density = 1.27 g/cm³
mass = density * volume
mass ≈ 1.27 g/cm³ * 1.437 cm³
mass ≈ 1.826 g
3. Calculate the total mass of chocolate needed for 140 bon-bons.
total mass = mass per bon-bon * number of bon-bons
total mass ≈ 1.826 g * 140
total mass ≈ 255.64 g
4. Determine the cost of the chocolate by multiplying the total mass by the cost per gram.
cost = total mass * cost per gram
cost ≈ 255.64 g * $0.04/g
cost ≈ $10.2256
5. Round the cost to the nearest cent.
cost ≈ $10.23
Therefore, the chocolate for 140 bon-bons would cost approximately $6.13.
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observe that for every value of that satisfies , the value of is constant. what does this tell you about the behavior of the graph of on this interval?
The graph remains at a constant height (y-value) for all x-values within the specified interval. This means that the function does not change in this interval and maintains a consistent output.
If the value of is constant for every value that satisfies a certain condition, it means that the graph is a horizontal line on that interval. The behavior of the graph is constant or unchanging in terms of its vertical position.
When every value of x that satisfies a given condition results in a constant value of y, this tells us that the behavior of the graph of the function on this interval is horizontal. In other words, the graph remains at a constant height (y-value) for all x-values within the specified interval. This means that the function does not change in this interval and maintains a consistent output.
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First people to answer get high points and brainiest
Answer:
m = t/u
Step-by-step explanation:
m is multiplied with u
m times u = t
t divided by u = m
this is similar to the problem i just solved.
a fair six-sided die is tossed 300 times. find the expected value of the sample mean of the values obtained in these 300 tosses (write it up to first decimal place).
The expected value of the sample mean of the values obtained in these 300 tosses is 3.5
300 fair throws of a six-sided die are made.
The expected value of the sample mean of the results acquired from these 300 tosses must be determined.
Six sides make up a dice:
Every side of a fair dice has an equal chance of happening.
Now, each side's likelihood of being present is 1/6.
Now, the sample mean of the values collected in these 300 tosses is predicted to be equal to:
E(x) = Σx P(x =x)
= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6
= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
= 1/6 (1+2+3+4+5+6)
= 1/6 (21)
= 21/6
E(x) = 3.5
Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5
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What is the ratio of hexagons to rectangles?
Write your answer as two numbers separated by a colon (for example, 2:3).
Submit
Answer:
4:6
Step-by-step explanation:
um there is no picture to count from so i will created a random one which was 4:6
Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
Which segment is closest in lenght to √10?
_
AC
_
DE
_
AD
_
AB
Brainliest!!! 5 stars!!!! Thanks!!!
Answer: 11 . 5.65 (6)
12 14.1
Step-by-step explanation:
Answer:
Hey... Im zoribelle
Step-by-step explanation:
Please Evaluate These Expressions:
1. 18 • (7+2²) ÷ 3 - 40 =
2. c² - y ÷ 2 =
Hint:
For Question two c = 6 and y = 16
1. -33.963333
2. 28
but i'm not sure
The population of a certain city decreased by 43,000 people.
Write a signed number to represent this population change.
A signed number to represent a given population change is -43,000.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Since the population of a certain city decreased by 43,000 people.
The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.
Thus, we can population change is shown by -43,000.
Hence, a signed number to represent this population change is -43,000.
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1. Use the spinner at the right, which is divided into equal sections, to detemine the following probability. P(brown or greater than 9)
2. Using a green number cube and a blue number cube, find the following probability. P(green less than 9 and blue greater than 3)
3. You choose a tile at random from a bag containing 5 A's, 2 B's, and 3 C's. You replace the first tile in the bag and then choose again. Find P(C and C). Question content area bottom Part 1 P(C and C)=enter your response here
4. You pick a coin at random from the set shown at the right, and then pick a second coin without replacing the first. Find the probability. P(penny then nickel)
Using it's concept, the probability is calculated as follows:
P(brown or greater than 9) = 3/5.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
In the context of this problem, we have that:
The desired outcomes are the five brown regions, plus the green region with the number 10, which is a number greater than 9.The total outcomes are the 10 regions of the spinner.The desired probability is calculated as follows:
P(brown or greater than 9) = 6/10 = 3/5.
Both 6 and 10 can be simplified by 5, hence the simplified probability is of 3/5.
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help i’ll mark brainliest
Answer:
12
..... ....... ......
Please Help 42 + 4 + 36 = 0
Answer:
16x+40=0
Step-by-step explanation:
4x^2 is 16x
16x+4+36=0
16x+40=0
What would happen if I press the "Restart" button on my android phone?
Answer:
?
Step-by-step explanation:
Your phone restarts, and then boots up when u hit the on button again. you should not lose any data or anything.
please mark as brainlest.
Answer:
What would happened is all your apps will be closed and it will reboot all of your apps.It won't delete any apps.It's just like an iphone.
Step-by-step explanation:
Brainly Please
What is the difference?
42−55
Enter your answer in the box.
Answer:
-13
Step-by-step explanation:
42-55=-13
which equation represents a function?
The equation x = 4y + 7 represents a function.
To determine which equation represents a function, we need to check if each unique input (x-value) is associated with only one output (y-value).
y² = -5x-8:
This equation is not in a form that directly shows the relationship between x and y. It is a quadratic equation.
x = 4y + 7:
For every unique value of y, there is a single corresponding value of x.
y = ±√(3x + 8):
The presence of ± in the equation indicates that for each value of x, there are two possible values for y.
x² + y² = 16:
This equation represents a circle with a radius of 4 centered at the origin.
y = ±2x + 3:
The presence of ± indicates that for each x-value, there are two possible y-values.
Hence, the equation x = 4y + 7 represents a function.
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Determine whether the binomial (x-4) is a factor of the polynomial p(x) = 5x³ - 20x² - 5x+ 20-
Step-by-step explanation:
IF x-4 is a factor, then putting in x = + 4 will make the polynomial = 0
5 ( 4^3) - 20 (4^2) - 5(4) + 20 = 0 Yes...it is a factor
\(x - 4 = 0 \\ x = 4 \\ \)
substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function
\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)
so (x-4) is a factor for the function
determine the rate of change for the graph from 2014 to 2015:____ students per year
Answer:
The answer would be 9
Step-by-step explanation:
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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What is power of 3 square root of 4 / square root of 2 in simplest radical form?
Answer:
√90=3√10
Step-by-step explanation:
Could anyone help me with this question
Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005. The table gives the number of tickets sold for each
concert. Select the points that represent this data.
Year
Tickets Sold
(thousands)
10
2000
2001
10
2002
20
2003
40
2004
55
2005
70
90
80
70
(so
The points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on graph.
How to read the data from the table?Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005.
The table gives the number of tickets sold for each concert. Select the points that represent this data.
Tickets Sold (thousands) Year 10 200010 200120 200240 200355 200470 2005The graph which represent the data in the data is attached below year wise.
For the first point, select the value 10 on graph vertically at year 2000. Similarly, select all the points on the graph for the table.
Thus, the points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on the graph.
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Each of students reported the number of movies they saw in the past year. Here is what they reported.
12,17,8,13,5,18
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
10,20,10,10,10,20 tenths
Answer:
12.2
Step-by-step explanation:
The mean is the average, so we add up the number of movies, and divide by 6 beacause they are reported by 6 students
Mean (Average) = (12+17+8+13+5+18) / 6
Mean (Average) = 73 / 6
Mean (Average) = 12.16666667
The problem asks us to round to the nearest tenth, which is the first decimal place.
Since the 2nd decimal place, 6, is more than 5, we round the first decimal place up to one and remove the rest.
12.2
In a study conducted at a large long-term care facility, two data collectors examined 56 pressure ulcers on 40 different subjects. The examinations were independently performed on the same day. A comparison of the results indicated that the data collectors scored 54 of the 56 (correlation coefficient 0.96) pressure ulcers identically using the Braden Scale for pressure ulcer assessment. What can be determined from this finding?
Answer:
Interrater reliability between the two data collectors was high
Step-by-step explanation:
Explanation-
Interrater reliability is the consistency of observations between two or more observers. An Agreement of 54 out of 56 scores would indicate a high level of interrater reliability. The data collection method was appropriate for pressure ulcer risk assessment. The risk assessments did not have to be done by both evaluators at the same time.