This is a true and false question. The answer is false. Can someone make sure of it because i dont understand how so i lost a mark.
Answers
Step-by-step explanation:
first of all, please look at what is the original, and what is the result of the dilation.
hmmm ?
the large object ABCD is the original, and the small object A'B'C'D' is the dilation result.
why ?
it is usually the convention to use the ' for the result of a transformation.
so, if anything, the scale factor would be 1/2. and not 2.
then, dilation works with the points coordinates, as they are multiplied by the scale factor.
since we can't see the origin, we can't really tell, if the coordinates were cut in half. the visible picture raises some doubts, but it could be possible ...
Related Questions
HELP! FOR 100 POINTS
In a sale, all prices are reduced by 22%. A pair of trainers normally cost £80. What is the sale price of the pair of trainers?
Answers
Answer: $62.40
Step-by-step explanation:
Original price $80
22% of 80%
.22(80) = 17.60 >This is the discount
Sale price = Original price - discount
Sale price = 80 - 17.60
Sale price = $62.40
Answer:
\(\Huge \boxed{\text{\$62.40}}\)
Step-by-step explanation:
In the sale, the prices decrease by 22%. This means that the sale price is 78% of the original price.
\(\Large \text{Sale price = (100 - 22)\% of old price}\\\text{Sale price = 78\% of \$80}\\\text{Sale price = 0.78 $\times$ 80}\\\text{Sale price = \$62.40}\)
3х - 7 = 41
x = -2 - 21
Answers
Answer:-20=41
Step-by-step explanation:
3(-2-21)-7=41
Toula owns the Pita Pan restaurant. She needs to order supplies for the upcoming weekend rush. She needs 150 bags of pita bread. The bread come in crates of 50, and each crate costs $15.00. She also needs 65 containers of hummus dip. There are 5 containers in a box, and each box costs $20.00 What expressions can Toula use to determine how much the pita bread and hummus dips will cost? What will the total be?
Answers
The total cost of the pita bread and hummus dips will be $305.00.
To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:
Cost of pita bread:
Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates
Cost of each crate = $15.00
Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00
Cost of hummus dips:
Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes
Cost of each box = $20.00
Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00
Therefore, the expressions Toula can use to determine the costs are:
Cost of pita bread = 3 crates × $15.00/crate
Cost of hummus dips = 13 boxes × $20.00/box
The total cost will be the sum of the costs of pita bread and hummus dips:
Total cost = Cost of pita bread + Cost of hummus dips
Total cost = $45.00 + $260.00
Total cost = $305.00
Therefore, the total cost of the pita bread and hummus dips will be $305.00.
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5 | 61251 is this true or false?
Answers
Step-by-step explanation:
the answer is false because its counting by 5
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
Answers
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Jim's backyard is a rectangle that is 16 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many whole pieces of sod will Jim need to buy to cover with sod?
Answers
Answer:
93 pieces
Step-by-step explanation:
To cover his backyard with sod, he needs to cover the area of the backyard.
His backyard is a rectangle, and area of a rectangle is given as:
Where,
is the length, and
is the width
So, the area of Jim's backyard is square yards.
The area of each sods are solved using the area of the rectangle formula. So we have square yards as the area of each sod.
To find HOW MANY of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:
Since, fractional sods can't be bought, Jim has to buy 93 sods to cover his backyard.
can someone help me on 5 or 6. (find the area and perimeter)
Answers
Answer:
the answer is 6 trust. poopoo
N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Answers
Heracio used the computer 4 more hours to do homework than shop online.
How to solve the proportionTo find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.
Let's start by calculating the number of hours Heracio spent on each activity:
Shopping: 10% of 40 hours = 4 hours
Videos: 15% of 40 hours = 6 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 4 hours (shopping) = 4 hours
Therefore, Heracio used the computer 4 more hours to do homework than shop online.
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What is the limit of (n!)^(1/n) as n approaches infinity?
Note: n! means n factorial, which is the product of all positive integers up to n.
Answers
Answer:
Step-by-step explanation:
To find the limit of (n!)^(1/n) as n approaches infinity, we can use the Stirling's approximation for n!, which is:
n! ≈ (n/e)^n √(2πn)
where e is the mathematical constant e ≈ 2.71828, and π is the mathematical constant pi ≈ 3.14159.
Using this approximation, we can rewrite (n!)^(1/n) as:
(n!)^(1/n) = [(n/e)^n √(2πn)]^(1/n) = (n/e)^(n/n) [√(2πn)]^(1/n)
Taking the limit as n approaches infinity, we have:
lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n)
Using the fact that lim a^(1/n) = 1 as n approaches infinity for any constant a > 0, we can simplify the second term as:
lim [√(2πn)]^(1/n) = 1
For the first term, we can rewrite (n/e)^(n/n) as [1/(e^(1/n))]^n and use the fact that lim a^n = 1 as n approaches infinity for any constant 0 < a < 1. Thus, we have:
lim (n/e)^(n/n) = lim [1/(e^(1/n))]^n = 1
Therefore, combining the two terms, we have:
lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n) = 1 x 1 = 1
Hence, the limit of (n!)^(1/n) as n approaches infinity is 1.
Answer:1
Step-by-step explanation:
Prove the Converse of the Pythagorean Theorem
In this activity, you will prove and apply the converse of the Pythagorean theorem. Recall that the
converse states that if the square of the length of the longest side of a triangle is equal to the sum of
the squares of the other two sides, then the triangle is a right triangle.
Open the GeoGebra activity to complete each step below. For help, watch these short videos about
using GeoGebra to measure and create points, lines, and anglese.
Question 1
Part A
Draw AABC with vertices at A(1,6), B(1, 1) and C(5,1). In this triangle, AB²+ BC² = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E
Paste a picture of your drawing in the answer box.
= 90°, and EF
BC.
B I U X² X2 15px
AVA
E E g = = 三 四 V 田
=
Answers
The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.
To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.
AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5
BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4
AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)
Now, let's check if AB^2 + BC^2 = AC^2:
AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41
AC^2 = (2sqrt(10))^2 = 4(10) = 40
Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.
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Wat 8x3 to get a answer
Answers
Answer:
24
Step-by-step explanation:
Are these shapes similar?
yes or no
Answers
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
2x-y=-22
y=7x+67
Help me it might be simple but I need an explanation
Answers
The solution to the system of linear equations,
2x - y = - 22 and - 7x + y = 67 is x = - 9 and y = 4.
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
Given, Two linear equations 2x - y = 22 and y = 7x + 67 in two variable 'x' and 'y'.
Arranging the equation in a similar pattern we have,
2x - y = - 22 and - 7x + y = 67.
Now, Adding these two equations +y and -y will cancel out,
So, We have - 5x = 45.
x = - 9, and 2(-9) - y = - 22 ⇒ y = 4.
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find (f o f) x f(x) = 6x+9 and g(x)= x^2
Answers
Step-by-step explanation:
given
f(x)=6x+9
solve
6(6x+9)+9=0
36x+54+9=0
36x+63=0
36x=_63
36x/36 = _63/36
x=_63/36
Help help........................
Answers
2/3x8/8=16/24 or 2/3
multiply both sides by what you're needing in your denominater to find the answer
Fuel consumption is commonly measured in miles per gallon (mi/gal). An agency designed new fuel consumption tests to be used starting with 2008 car models. Listed below are randomly selected amounts by which the measured MPG ratings decreased because of the new 2008 standards. Find the range, variance, and standard deviation for the sample data. Is the decrease of 4 mi/gal unusual? Why or why not? 2 1 2 1 3 3 4 2 2 2 2 2 2 2 2 3 2 2 2 2 2 The range of the sample data is mi/gal. (Type an integer or a decimal.) The variance of the sample data is . (Round to one decimal place as needed.) mi/gal. The standard deviation of the sample data is mi/gal.
(Round to one decimal place as needed.) Is the largest decrease, 4 mi/gal, unusual? Why or why not? O A. The decrease of 4 mi/gal is unusual because the smallest value in a data set is usually an outlier. O B. The decrease of 4 mi/gal is unusual because it is more than two standard deviations from the mean. O C. The decrease of 4 mi/gal is not unusual because the sample is a simple random sample, in which no values are considered unusual. O D. The decrease of 4 mi/gal is not unusual because it is within two standard deviations of the mean.
Answers
A. The range of the sample data is 4 mi/gal.
B. The variance of the sample data is 0.98 mi/gal.
C. The standard deviation of the sample data is 0.99 mi/gal.
D. The decrease of 4 mi/gal is not unusual because it is within two standard deviations of the mean (4 mi/gal is less than 2*0.99 mi/gal).
A. To find the range of the sample data, we need to find the difference between the largest and smallest values in the sample. In this case, the largest value is 4 mi/gal and the smallest value is 1 mi/gal. The range is the difference between these two values, which is 4 mi/gal - 1 mi/gal = 3 mi/gal.
B. To find the variance of the sample data, we first need to find the mean of the sample. The mean is calculated by summing all the values in the sample and dividing by the number of values in the sample. In this case, the mean is \(\frac{(2+1+2+1+3+3+4+2+2+2+2+2+2+2+2+3+2+2+2+2+2)}{20} = 2.05\).
Next, we need to subtract the mean from each value in the sample, square the result, and divide it by the number of values in the sample. The variance is
\([(2-2.05)^2 + (1-2.05)^2 + (2-2.05)^2 + (1-2.05)^2 + (3-2.05)^2 + (3-2.05)^2 + (4-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (3-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2 + (2-2.05)^2] = 19.6\)
\(\frac{19.6}{20} = 0.98 mi/gal.\)
C. To find the standard deviation, we take the square root of the variance. The standard deviation is \(\sqrt{0.98} = 0.99 mi/gal\)
D. The standard deviation measures the amount of variation or dispersion in the data. The standard deviation is used to determine how much the values in a sample differ from the mean. If a value is more than two standard deviations away from the mean, it is considered unusual. In this case, the value of 4 mi/gal is less than 2*0.99 mi/gal = 1.98 mi/gal away from the mean, so it is not considered unusual.
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Solve for x in the diagram below
Answers
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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11
tored
ement Assessment
Given the figure below, find the values of x and z.
108⁰
X
(12x+24)
Due Tomorrow 9:45 AM
=
Z =
0
X
Ś
Answers
∑ Hey, liammaguire1988 ⊃
Answer:
x = 7
z = 96
Step-by-step explanation:
Given:
Given the figure below, find the values of x and z.
108⁰
X
(12x+24)
Solve:
As we can see, the given figure is a vertical angle.
Vertical angle = angles that are opposite of each other when two lines cross. Which also means the two pairs of opposite angles are equal to each other.
Therefore the equation for this question is;
(12x + 24 ) = 108
12 x + 24 = 108
12x + 24 - 24 = 108-24 [Subtract 24 from both sides]
12x = 84 [ Divide 156 by 12]
x = 7
Since, the sum of all the four angles formed by intersecting line is 360°.
We get,
(12x-24) + 108 + 2z = 360° (Take 2z as opposite angles are equal)
2z = 360 - 108 + 24 - 12 × 7
2z = 360 - 108 + 24 -84
2z = 360 - 108 - 60
2z = 360 - 168
2z = 192
z = 96
Hence, we get the angles x = 7° and z = 96°.
xcookiex12
8/17/2022
Given the points A (-4,-2) and B (4, 10), find the
coordinates of point P on directed line segment AB that is 3/4 is of the way from A to B.
Answers
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
Equation for PFor some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
ApplicationFor q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
The acceleration of an object is =4 m/s^2.?
The acceleration of an object is =4 m/s^2. Find the distance of the object from the origin under the initial conditions (0)=9 m, (0)=16 m/s.
(Use symbolic notation and fractions where needed.)
Answers
Answer:
\(\displaystyle s(t) = \frac{2t^3}{3} + 16t + 9\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightCalculus
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
Integration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Integration Property [Addition/Subtraction]: \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)
Step-by-step explanation:
*Note:
Velocity is the derivative of Position, and Acceleration is derivative of Velocity.
↓
Velocity is integration of Acceleration, Position is integration of Velocity.
Step 1: Define
a(t) = 4t m/s²
s(0) = 9 m
v(0) = 16 m/s
Step 2: Find Velocity Function
Integration Pt. 1
[Velocity] Set up integral: \(\displaystyle v(t) = \int {a(t)} \, dt\)[Velocity] Substitute in function: \(\displaystyle v(t) = \int {4t} \, dt\)[Velocity] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle v(t) = 4\int {t} \, dt\)[Velocity] Integrate [Integration Rule - Reverse Power Rule]: \(\displaystyle v(t) = 4(\frac{t^2}{2}) + C\)[Velocity] Multiply: \(\displaystyle v(t) = 2t^2 + C\)Finding C
[Velocity] Substitute in initial condition: \(\displaystyle v(0) = 2(0)^2 + C\)[Velocity] Substitute in function value: \(\displaystyle 16 = 2(0)^2 + C\)[Velocity] Evaluate exponents: \(\displaystyle 16 = 2(0) + C\)[Velocity] Multiply: \(\displaystyle 16 = C\)Rewrite: \(\displaystyle C = 16\)Velocity Function: \(\displaystyle v(t) = 2t^2 + 16\)
Step 3: Find Position Function
Integration Pt. 2
[Position] Set up integral: \(\displaystyle s(t) = \int {v(t)} \, dt\)[Position] Substitute in function: \(\displaystyle s(t) = \int {2t^2 + 16} \, dt\)[Position] Rewrite [Integration Property - Addition]: \(\displaystyle s(t) = \int {2t^2} \, dt + \int {16} \, dt\)[Position] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle s(t) = 2\int {t^2} \, dt + 16\int {} \, dt\)[Position] Integrate [Integration Rule - Reverse Power Rule]: \(\displaystyle s(t) = 2(\frac{t^3}{3}) + 16t + C\)[Position] Multiply: \(\displaystyle s(t) = \frac{2t^3}{3} + 16t + C\)Finding C
[Position] Substitute in initial condition: \(\displaystyle s(0) = \frac{2(0)^3}{3} + 16(0) + C\)[Position] Substitute in function value: \(\displaystyle 9 = \frac{2(0)^3}{3} + 16(0) + C\)[Position] Evaluate exponents: \(\displaystyle 9 = \frac{2(0)}{3} + 16(0) + C\)[Position] Multiply: \(\displaystyle 9 = \frac{0}{3} + C\)[Position] Divide: \(\displaystyle 9 = C\)[Position] Rewrite: \(\displaystyle C = 9\)Position Function: \(\displaystyle s(t) = \frac{2t^3}{3} + 16t + 9\)
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Need help fast...
Match the input values on the left with the output values on the right. y = x/2 + 1 1)3 X 2)Y 2 3)2 4 4)4.5 7 5)5.5 9
Answers
Answer:
(X,Y)
(2,2)
(4,3)
(7,4.5)
(9,5.5)
Step-by-step explanation:
To match the input values with the output, substitute each value on the right into the equation.
1) x
\(\displaystyle\begin{aligned} y & = \frac{(x)}{2}+1 \\ \\ & = \frac{x}{2} + 1\end{aligned}\)
The equation remains the same. Hence, x maps onto y.
2) 2
\(\displaystyle \begin{aligned} y &= \frac{(2)}{2}+1 \\ \\ & = 2\end{aligned}\)
Therefore, map 2 with 2.
3) 4
\(\displaystyle \begin{aligned} y& = \frac{(4)}{2}+1 \\ \\ & = 3\end{aligned}\)
Therefore, match 4 with 3.
4) 7
\(\displaystyle \begin{aligned} y& = \frac{(7)}{2}+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}\)
Therefore, match 7 with 4.5.
5) 9
\(\displaystyle \begin{aligned} y& = \frac{(9)}{2}+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}\)
And finally, match 9 with 5.5.
Answer:
thanks for the points
Step-by-step explanation:
Solve the system by graphing y=-4x-2 -2x+y=-2 Plot both lines and point of intersection by moving the dots to the correct location
Answers
Answer:
The point of intersection is (0,-2).
Step-by-step explanation:
Equation 1: \(y=-4x-2\)
Equation 2 : \(-2x+y=-2\)
Plot the lines on the graph
Refer the attached figure
Equation 1: \(y=-4x-2 ---- Red\)
Equation 2 : \(-2x+y=-2 ---- Blue\)
Point of intersection : A point where both the lines intersect is called point of intersection.
So, Both lines intersect at point (0,-2)
So, Point of intersection is (0,-2)
Hence The point of intersection is (0,-2).
y=3x-11
y-3x=-13
Solving using systems of equations
Answers
Answer: There are no possible solutions because
If you were to plot these two equations on the graph you would notice they are parallel because both have the same slope (3x) but still have different intercepts. This means there are no possible solutions as in order to have a solution for x and y they need to intercept and the point of interception is the solution for x and y but that cannot happen in a system of equations that result in parallel lines ( they’ll never intercept)
Answer:
Ø
Step-by-step explanation:
These equations are parallel, meaning they have SIMILAR rate of changes [slopes]. To prove it, convert the second equation from Standard Form to Slope-Intercept Form:
\(\displaystyle y - 3x = -13 \hookrightarrow y = 3x - 13 \\ \\ \left \{ {{y = 3x - 13} \atop {y = 3x - 11}} \right.\)
As you can see, both equations have a rate of change of 3, meaning we CANNOT obtain a solution here, therefore we have no solution.
I am joyous to assist you at any time.
Julia can swim 8 km/hr in still water. She attempts to head straight east across a river flowing south at 3 km/hr. What is the magnitude and direction of Julia's velocity.
Answers
To solve this problem, we need to use vector addition to find the resultant velocity of Julia.
Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.
The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.
The velocity of the river is 3 km/hr in the negative y-axis direction.
To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.
Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:
|V| = √(Vx² + Vy²)
where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.
Vx = 8 km/hr
Vy = -3 km/hr
|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr
The direction of the resultant velocity can be calculated as:
θ = tan⁻¹(Vy / Vx)
θ = tan⁻¹(-3 / 8) = -20.56°
The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).
Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).
y''+y'=3 hihihihihhihihihihihihih
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Answer:
Maaf Saya Tidak Tahu
Step-by-step explanation:
Maaf Maaf
plz help! WILL GIVE BRAINLIEST
Answers
Answer:
3x+7=y
Step-by-step explanation:
The equation m=3b represents the times in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b) A: 3 B: 6 C:1/3 D: 1
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For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
Learn more about proportional relationships:
https://brainly.com/question/12242745
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A 1/5 increase of 400
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Answer:
1/5×400=80400+80=480 1/5 increase of 400=480