Answer:
61
Step-by-step explanation:
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?
Answer:
mwe.n pa konen men tenyen ooooo
Susan made $204 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:
156
Step-by-step explanation:
204/7 = 12
12 x 13 = 156
at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students
Answer: D.
Step-by-step explanation:
Can it help you.
PLEASE HELP URGENTLY!!! I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT.
Answer:
f(-2) = -1
Step-by-step explanation:
Look at x = -2 and find the value of y.
What is the domain of the function represented by the graph?
Answer: Choice C. [tex]x \ge -3[/tex]
============================================
Explanation:
The domain is the set of all allowed x inputs.
Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.
We can say the domain is [tex]-3 \le x < \infty[/tex] which can be simplified to [tex]-3 \le x[/tex] or [tex]x \ge -3[/tex]
In short: x can be -3 or larger.
In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.
Answer:
20%
Step-by-step explanation:
Calculate percentage change
from V1 = 15 to V2 = 18
(V2−V1)|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=20%increase
Answer:
20%
Step-by-step explanation:
There are 20 boys and 16 girls. what is the largest number of groups that you can form such that boys and girls are distributed equally among the groups?
Answer:
Step-by-step explanation:
First we find the GCF or Greatest Common Factor
20: 1, 2, 4, 5, 10, 20
16: 1, 2, 4, 8, 16
As you can see 4 is the GCF (Greatest Common Factor)
so, the largest number of groups are 4
Unless you are asking for how many girls and boys can be fit in each group then,
20 ÷ 4 = 5
16 ÷ 4 = 4
So, 5 boys and 4 girls are in each group.
Find the inverse of the function f(x) = 2x - 4
The correct answer is f^-1(x)=1/2x+2.
1. Substitute y for f(x). ( y=2x+4 )
2. Interchange the variables x and y. ( x=2y-4 )
3. Swap the sides. ( 2y-4=x )
4. Move the constant to the right. ( 2y=x+4 )
5. Divide both sides by 2. ( y=1/2x+2 )
6. Use substitution to substitute f^-1(x) for y.
Thus the inverse is f^-1(x)=1/2x+2
Aretha Foster, single, is marketing director for
The Canterbury Community, a senior living center. She is paid
a weekly salary of $735.00. If her weekly federal income tax
withholding is $66.84, find the number of withholding allowances
she claims if the tax is computed using the percentage method.
Answer:
11.14 brailiest please
Step-by-step explanation:
please tell me the answer
Answer:
(3.5, 3) and (0,-4)
Step-by-step explanation:
Zeros are the points that are on the x-intercept. The points not on the x-intercept are (3.5, 3) and (0,-4)
do any body know this need help over here
Answer:
A. experience an event through the author's eyes
Step-by-step explanation:
give brainliest please!
is this correct? ILL MARK YOU BRAINIEST
Answer:
yes
Step-by-step explanation:
This is correct.
Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.
[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]
[tex]3.0*10^{-5}[/tex]
So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.
The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1
In this diagram where is the line of reflection?
The line of reflection is the vertical line x = 1.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
The line of reflection is the vertical line passing through the midpoint of segment AA'.
Since A'(2,5) and A(-4,5) have the same y-coordinate, their midpoint is on the line y = 5.
Therefore, the line of reflection is the vertical line x = 1.
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please help please help please help please help please help please help please help please help
Answer:
two
Step-by-step explanation:
ilxzc d cd cf trdc4rter
A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!
Answer:
I believe it's 11
Step-by-step explanation:
Sorry if I'm wrong
Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.
Answer:
guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer
yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
plsss help
Answer:
49 words per minute
Step-by-step explanation:
2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute
May I get brainliest please? :)
Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,
Typing speed of Yousef = 36 words/ (2/3) minutes
= (36×3)/2 words per minute
= 54 words per minute
Hence, the typing speed of Yousef in a minute is 54 words per minute.
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The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?
Define a variable, write an equation, then solve.
Answer:
7308
Step-by-step explanation:
348 times 21 = 7308
Sorry if this is wrong.
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
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Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos
Answer:
I think the answer would be A
Answer:
A
Step-by-step explanation:
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
I need help plzzzzzzzzzzzzzzzzz
Answer:
x=21
Step-by-step explanation:
I think we are supposed to assume that is a right angle which means 90-6= 84
84/4= 21
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
Answer:
nile blue should be the correct answer
Step-by-step explanation:
Explain the difference between a Polynomial and a Monomial, and how do you add/subtract and multiply and factoring them?
Answer:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.
Answer:
The slope is 3/4 and the y-intercept is -5.
Step-by-step explanation:
Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!
Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH
Answer:
Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3
Step-by-step explanation:
The coordinates of the quadrilateral ABCD are;
A(0, 6), B(6, 6), C(9, 0), D(0, 0)
From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3
Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one
The graph where the function is decreasing is represented by, the blue line, red line and the green line.
What is decreasing function?"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."
For given situation,
we have been given a piecewise function and its graph.
From the graph of a function,
we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0
This is represented by, the blue line, red line and the green line
Therefore, the correct options are 1, 2, 4.
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