Answer:
The coordinates of the P' point are (-17.3,-10).
Step-by-step explanation:
We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.
Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.
The x-component of the vector will be:
[tex]V_{x}=-Vcos(30)[/tex]
[tex]V_{x}=-20cos(30)=-17.32\: m[/tex]
It is negative because the component is in the negative x-direction.
The y-component of the vector will be:
[tex]V_{y}=-Vsin(30)[/tex]
[tex]V_{y}=-20sin(30)=-10\: m[/tex]
It is negative too because the component is in the negative y-direction.
Therefore, the coordinates of the P' point are P'(-17.3,-10)
I hope it helps you!
Question 1 (Essay Worth 10 points)
(06.02 MC)
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Part B: Write a verbal expression for 3(n + 8). (5 points)
Answer:
A. 7n+6
B Three times the quantity of a number plus eight
Step-by-step explanation:
A more than means it comes after
7 times a number
7n
6 more than
7n+6
B 3( n+8)
Three times the quantity of a number plus eight
expanded notation for 209.36
Answer:
2.0936 * [tex]10^{2}[/tex]
Hope that this helps!
LIVE
Carlos is saving money to buy a set of golf clubs that cost $530. He already has $80.00 saved and can earn the rest of the money by mowing 15
lawns. If m represents how much he earns for mowing each lawn, which of the following equations can be solved to find how much Carlos is paid for
mowing each lawn?
Answer:
15m+80 would be the correct equation
Answer:
15*m=(530-80)
Step-by-step explanation:
30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.
Here's how we model that as an expression:
15m=(530-80)
15 lawns for m dollars would get him 530-80 (450) or the remaining amount.
Hope this helps!
In the data set below, what is the mean absolute deviation? 43 25 43 30 55 10 81 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD)
Answer:
16.6
Step-by-step explanation:
A 150 Ohm electric toaster is powered with a voltage of 120 v, what is its current intensity
Intensity = Voltage ÷ Electerical Resistance
Intensity = 120÷ 150
Intensity = 12/15
Intensity = 4×3/5×3
Intensity = 4/5
Intensity = 0.8 Amp
What is the value of n in the equation 1/2 (n - 4) - 3 = 3 - (2n + 3)?
A. n = 0
B. n = 2
C. n = 4
D. n = 6
HELP PLEASE!!!!
Answer:
n=2
1/2n-2-3=3-2n-3
1/2n+2n=3+2+3-3
2/1/2n=5
5/2n=5
n=5 multiply 2/5
n=2
What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Y= -6/5x + 10
Y= -6/5x + 12
Y= -5/6x - 10
Y= 5/6x - 12
Answer:
Option D (y = 5/6x -12).
Step-by-step explanation:
Hey there!
The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].
According to the question, the first line passes through point (12,6) and (0,-4).
So,
[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]
[tex]or \: m1 = \frac{5}{6} [/tex]
Therefore, the slope of the line is 5/6.
Now as per the condition of parallel lines, m1 =m2 = 5/6.
So, keeping the value of m2 in equation (i), we get;
(y+2) = 5/6(x-12)
[tex]y + 2 = \frac{5}{6} x - 10[/tex]
or, y = 5/6x - 12.
Therefore, the required equation is y = 5/6 X - 12.
Hope it helps!
1.What is the measure of each angle of an equilateral triangle? 2. Why is it the measure of each angle? please help
Answer:
1. 60°
2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.
180 ÷ 3 = 60°
The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle
Answer:
2*(5x+4) + 2*(3x+2)
= 10x + 8 + 6x + 2
= 16x + 10
The perimeter of the rectangle, in feet, is represented by (16x + 10)
Answer:
(16x + 12) ft
Step-by-step explanation:
Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2
Perimeter of the rectangle = (16x + 12) ft
The speed of the water in a whirlpoil varies inversely with the radius. if the water speed is 2.5 feet per second at a radius of 30 feet what js the speed of the water at a radius of 3 feet?
Answer:
25 feet per second.
Step-by-step explanation:
Let s represent the speed of the water and r represent the radius of the whirlpool.
The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:
[tex]\displaystyle s=\frac{k}{r}[/tex]
Where k is the constant of variation.
We know that the speed is 2.5 feet per second when the radius is 30 feet.
So, s = 2.5 when r = 30. Substitute:
[tex]\displaystyle 2.5=\frac{k}{30}[/tex]
Solve for k:
[tex]k=30(2.5)=75[/tex]
So, our equation is:
[tex]\displaystyle s=\frac{75}{r}[/tex]
Then when the radius is three feet, r = 3. Evaluate for s:
[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]
So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.
How many times does the company expect the album to be downloaded in the 11th month?
Which relation is a function?
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.
Let's analyze each option:
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.
To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.
Option C is correct answer
For more question function
https://brainly.com/question/21688627
#SPJ8
The middle school is 2.72 kilometers from Marsha's house and 1.54 kilometers from Ryan's house. How much farther does Marsha live from the middle school than Ryan? Group of answer choices
Answer:
1.18 kilometers
Step-by-step explanation:
The middle school is 2.72 kilometers from Marshal house
The school is also 1.54 kilometers away from Ryan house
Therefore the distance of Marshal house from the school can be calculated as follows
= 2.72-1.54
= 1.18 kilometers
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Answer:
y=9.25
Step-by-step explanation:
5x+2y=20
5(.3)+2y=20
1.5+2y=20
2y=20-1.5
2y=18.5
y=18.5/2
y=9.25
Restaurants often slip takeout menus under Adriana's apartment door. So far, Adriana has collected 18 menus, including 2 for Thai food.
What is the probability that one of Adriana's takeout menus, selected at random, will be from a Thai restaurant?
Write your answer as a fraction or whole number.
P(Thai) =
Answer:
2/18 = 1/9
Step-by-step explanation:
She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.
2/18 = 1/9
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form. The probability is .
Answer:
1/12Step-by-step explanation:
Number less than 2 is 1.
Probability of 1 out of 6 is:
P(1) = 1/6Probability of heads is:
P(h) = 1/2The probability of both is:
P = 1/6*1/2 = 1/12PLEASE HELP ASAP!! THANK YOU
EXPLANATION = BRAINLIEST & 5 STARS
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.
Find the area of this semi-circle with radius, r = 6cm.
Give your answer as an expression in terms of pi
Answer:
72π (I think)
Step-by-step explanation:
Think of it in terms of the entire circle. A semi-circle is just half a circle, so the area of a semicircle will be half of the area of the entire circle. The radius of the semicircle is 6, so the radius of the whole circle is 12. Then, we can do [tex]\frac{pi*r^{2} }{2}[/tex] to get the area of the semicircle is 72π. I'm pretty sure that's right. Let me know if I made a mistake somewhere.
The original price of a bicycle was $400. Now it is on sale for $300. What percentage of the original price was the markdown?
Answer:
25%
Step-by-step explanation:
400/100•300/x=0.75
1.00-0.75= 0.25
25%
Answer:
25 percent of discount
Step-by-step explanation:
[tex]original_price=400\\final_price=300\\discount=100\\\\\frac{400*percent}{100}=100 =>percent=\frac{100^2}{400}=25[/tex]
Equivalent expressions to 9^c*9^-c?
Answer:
1
Step-by-step explanation:
Add teh exponents.
9^c * 9^-c = 9^(c - c) = 9^0 = 1
midpoint formula (7, 4) , (9, -1)
Answer:
[tex]midpoint = ( \frac{x _{1} + x _{2}}{2} , \: \frac{y _{1} + y _{2}}{2} ) \\ = ( \frac{7 + 9}{2} , \: \frac{4 + - 1}{2} ) \\ = (\frac{16}{2} , \: \frac{3}{2} ) \\ = (8, \: 1.5)[/tex]
25 = -3 (c + 2 ) + 2c
Answer:
c = -31
Step-by-step explanation:
25=-3c-6+2c
25+6=-c
31=-c
c=-31
Answer:
Step-by-step explanation:
25=-3(c+2)+2c
25=-3c-6+2c
25=-c+6
25-6=-c
19=-c
-19=c
Given m||n, find the value of x.
kt
(6x+5)°
(7X-40°
Answer:
x = 9
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal if m is parallel to n
6x+5 = 7x-4
Subtract 6x from each side
6x -6x+5 = 7x-6x-4
5 = x -4
Add 4 to each side
5+4 =x-4+4
9 =x
Bethany has sticker book with 200 pages.
Each sticker takes up 18 page. How many stickers can she put in the book?
A. 250 stickers
B. 25 stickers
C. 1,600 stickers
D. 1,000 stickers
Answer:
A
Step-by-step explanation:
help me solve this question please. Thank you
Answer:
an = 80. 2^(n-5)
Step-by-step explanation:
r = a6/a5 =160/80 = 2
an = a5. r^(n-5)
= 80. 2^(n-5)
Calculate the area of the composite shape below.
8m
13m
A. 160 m²
B. 166 m²
11m
6m
C. 170 m²
D. 190 m²
20m
Оооо
D
Answer:
D
[tex] \times area = area \: of \: trapezium + area \: of \: rectangle \\ = ( \frac{1}{2} \times h(a + b)) + (l \times w) \\ = ( \frac{1}{2} \times (11 - 6) \times (20 + 8)) + (20 \times 6) \\ = 70 + 120 \\ = 190 \: {m}^{2} [/tex]
Round your answer to the nearest hundredth LA
Answer:
Step-by-step explanation:
Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:
[tex]tanA=\frac{5}{7}[/tex]
Hit the 2nd button on your calculator then the tan button which displays:
[tex]tan^{-1}([/tex]
Enter 5/7 after that open parenthesis and hit = to get that
A = 35.54°
RN I NEED TO PASS THIS CLASS If the equation is solved, which is true?
A
If u + -10 = 14, then u = -1.4
B
If -10 - u = 14, then u = 4.0
С
If -10 + u = 14, then u = 4
D
If -10 + u = 14, then u = 24.0
Answer:
the answer should be D hope you pass
Answer:
D
Step-by-step explanation:
-10 + u = 14
u = 14+10=24.0
sorry if i am asking a lot, totally suprised by this and dont know what to do and yall are great, i need to find X and Y with exact values and no decimals
Answer:
x and y = 19
Step-by-step explanation:
sin 45/x = sin90/19[tex]\sqrt{2}[/tex]
19[tex]\sqrt{2}[/tex]×sin45=sin90x
x=19
Pythagorean theorem for y
[tex]y^{2}[/tex]=(19[tex]\sqrt{2}[/tex])^2 - 19^2
y^2= 722 - 361
y^2= 361
y=19
The answers seem kinda weird to me so...
For one month Sierra calculated her home towns average high temp in degrees Fahrenheit she wants to convert that temp from degrees Fahrenheit to degrees Celsius using the function c(f)=5/9(f-32). What does C(F)
Answer:
C(F) means Celcius temperature value from Fahrenheit temperature
Step-by-step explanation:
C(F) is Mathematically interpreted as C of F, this means the value of C obtained for a given F value, that is we have a relation, expression or formular exoressed in terms of F which can be used to obtain the Value of C for a given value of F by making necessary substitution.
Here the relation or expression is c(f)=5/9(f-32).
Hence, once we are given a particular F value, we can substitute that into the equation and obtain the corresponding C temperature value.