Answer:
PV = 8
VT = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90° Δ, the ratio of sides, respectively, is 1: [tex]\sqrt{3}[/tex]: 2
if PT = 4 then PV is twice that, or 8
VT = PT·[tex]\sqrt{3}[/tex]
The vector matrix [-3,-5] is rotated at different angles. Match the angles of rotation to the vector matrices they produce.
Answer: The above answer is correct.
Step-by-step explanation: I got this correct on Edmentum.
Answers
[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]
This exercise consist in finding the resulting Vector Matrix for each Angle of Rotation and a given Vector Matrix. The result is found by multiplying the given Vector Matrix for a Rotation Matrix, defined below as follows:
[tex]A' = R\cdot A[/tex] (1)
Where:
[tex]A[/tex] - Given vector matrix.
[tex]R[/tex] - Rotation matrix.
[tex]A'[/tex] - Resulting vector matrix.
For 2-dimension Vector Matrices, The Rotation Matrix is defined by the following entity:
[tex]R = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\\\end{array}\right][/tex] (2)
Where [tex]\theta[/tex] is the Angle of Rotation, in radians.
Let be [tex]A = \left[\begin{array}{cc}x\\y\end{array}\right][/tex], the resulting vector matrix is found by (1) and (2):
[tex]A' = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\end{array}\right] \cdot \left[\begin{array}{cc}x\\y\end{array}\right][/tex]
[tex]A' = \left[\begin{array}{cc}x\cdot \cos \theta - y\cdot \sin \theta\\x\cdot \sin \theta +y\cdot \cos \theta \end{array}\right][/tex]
If we know that [tex]A = \left[\begin{array}{cc}-3\\-5\end{array}\right][/tex], then the resulting vector matrix for each angle is, respectively:
[tex]\theta = \frac{\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}1.414\\-5.657\end{array}\right][/tex]
[tex]\theta = \frac{\pi}{2}[/tex]
[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex]
[tex]\theta = \frac{2\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex]
[tex]\theta = \frac{4\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex]
[tex]\theta = \frac{5\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.83\\0.098\end{array}\right][/tex]
[tex]\theta = \frac{7\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex]
Therefore, we have the following answers:
[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]
[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]
[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]
Related question: https://brainly.com/question/11815899
A15,3), B12,1), and C-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are
the coordinates of the image?
O A'(-5,3), B(-2,1), C(2,4)
A'(-5,3), B(-2,1). C(-2,4)
O A'(-5,-3), B(-2,-1), C(2,-4)
A(5.-3), B(2.-1). C(-2,-4)
a gain of five meters
1.A gain of five meters:5
Because gain=+
Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
If f(x)=3x^2+x-2, then f(-2)=
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) , substitute x = - 2 into f(x) , that is
f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8
8x = 60 . What does X equals?
Answer:
7.5
Step-by-step explanation:
60/8
7.5
x=7.5
Answer:
X= 7.5
Step-by-step explanation:
Most states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery wager, from the Tri-State Pick 3 game that New Hampshire shares with Maine and Vermont. You choose a three-digit number; the state chooses a three-digit winning number at random and pays you $500 if your number is chosen. Because there are 1000 three-digit numbers, you have probability 1/1000 of winning. Taking X to be the amount your ticket pays you, the probability distribution of X is Payoff X Probability: $0.00 0.999 What is your average payoff from many tickets
Answer:
For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Step-by-step explanation:
1/1000 chance of winning.
This means that there is an 1/1000 probability of you earning $500.
1 - 1/1000 = 999/1000 chance of losing.
In this case, you earn nothing.
What is your average payoff from many tickets
[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]
Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answer:
40 feet by 4 feet
Step-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet.
Multiply (x+2y)(x^2-xy+3y)
The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
Given that, (x+2y)(x²-xy+3y).
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
The product of two given polynomials is as follows
(x+2y)(x²-xy+3y)
= x(x²-xy+3y)+2y(x²-xy+3y)
= x³-x²y+3xy+2x²y-2xy²+6y²
= x³+x²y-2xy²+6y²+3xy
Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
To learn more about the product of polynomials visit:
https://brainly.com/question/16037613.
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Jina walks 2.5 km every day. How far does she walk in 7 days?
Write your answer in meters.
Answer: 17500 meters
Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so
17.5 in meters is 17500.
According to a recent poll on the Prevention magazine Web "Most people (56%) reported that even though they are overweight, their doctor never discusses the role of weight in leading a healthy life. Only 14% indicated that it was not an issue because they are already in good shape." The Prevention magazine survey results are provided using _____ to present the statistics.
Answer: text presentation
Step-by-step explanation:
The results of the Prevention magazine survey are provided using the text presentation to present the statistics.
Text presentation of data simply refers to the presentation of data in words, and sentences. It enables the researcher present qualitative data which cannot be done using graphics or tables.
E/f + f/e if e is 15 and f is 9
Answer:
34/15
Step-by-step explanation:
15/9 + 9/15 = 34/15
Answer:
2 4/15 or 2.27 (rounded up)
Step-by-step explanation:
15/9 + 9/15
75/45 + 27/45
102/45
2 12/45
2 4/15
one hectameter is =how much cm?
A=100
B=10000
C=10
D=1000
Answer:
option B is correct because
1 hectameter is equal to 10000cm
A small jar of peanut butter sells for 0.08 per ounce. A large jar of peanut butter sells for $1.20 per pound. Which is the better buy and by how much (in cents per pound)?
Answer:
a small jar of penuts buteer sells for 0.08 per ounce
A large jar of penut buttter sells for $1.20 per pound
the answer is :
hope it will help you
What is the value of x?
Answer:
x=14/3
Step-by-step explanation:
According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.
Subtract 14 from both sides
56 = 12x
Divide both sides by 12
14/3 = x
x=14/3
find the measure of each angle indicated
Answer:
D) 111
Step-by-step explanation:
Internal Alternate angle thm states 111 and x are equal:
? = 111
Answer:
D
Step-by-step explanation:
its the same as the angle that was given to you
I need help with that one anyone can help me please
Answer:
11: 1 tens, 1 ones 17: 1 tens, 7 ones 17 is greater number, it is greater by 6
Add: look at the picture
Answer:
5 3/4
Step-by-step explanation:
the 3/4 is a fraction
Have a nice day:)
Answer:
5 3/4
Step-by-step explanation:
2 + 2/3 + 3 + 1/12
2+3= 5
2/3 + 1/12 <<-- Find the LCD
8/12 + 1/12 = 9/12 <-- Reduce the fraction
9/12 = 3/4
5 + 3/4 = 5 3/4
... Helppppp!! will mark brainiest
Answer: The answer is C
Step-by-step explanation:
C is the answer because the base is +2 and the coefficent is 1/2 which is rise over run so you go up one space and to the right two spaces.
ASAP BRAINLY I WON'T GET FULL GRADE IF ITS MISSING!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. Trapezoid.
2. Rectangle, Parallelogram
3. Rhombus, Parallelogram
4. Rectangle, Parallelogram, Square
5. No, a figure cannot have more than one parallel side and exactly one parallel side at once.
Step-by-step explanation:
Hope ths helped.
I will venmo if someone can please help me
Answer: 14.967
Step-by-step explanation:
Use Pythagorean Theorem to find the missing length.
a² + b² = c²
x² + 10² = 18²
x² + 100 = 324 [Subtract 100 from both side]
x²= 224
√x² = √224 [solve the square root from both sides]
x ≈ 14.967
What is bigger 4.62 or 4.24
Answer: 4.62 is bigger than 4.24
Step-by-step explanation:
plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plzzzz plz pzl pz plz -plz plz HELPP
Answer:
The lines will never intersect.Step-by-step
explanation:
The slope of the cups is the same, 1.5. The y-intercept of the small cups is 6The y-intercept of the big cups is 9. This means that the lines will never intersect because they are parallel lines and have the same slope but different y-intercepts.
I hope this helps :) Please give brainliest! :)
Use the number line to complete the statements.
The opposite of 4 is ____.
(1). -8
(2). -4
(3). 0
(4). 4
The opposite of –8 is _____.
(1). -8
(2). 0
(3). 4
(4). 8
Answer:
(2). -4
(4). 8
Step-by-step explanation:
The opposite of a negative or positive number will always be it's absolute value.
Betty made $200 salary plus 5% commission on her sales this week. If she made $275 this week, what
were her total sales this week?
Answer:
$36.00 i think
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Help please
And thank you
Answer:
Step-by-step explanation:
A circle has an approximate circumference of 15.7 ft. and a radius of 2.5 ft. Based on this
circle, which ratio is equivalent to the value of ?
Answer:
C
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
15.7/5=3.14
5m=105 what is m in the equation
Answer:
m = 21
Step-by-step explanation:
5m = 105
5m ÷ 5 = 105 ÷ 5
m = 21
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a purple tile? (5 points)
fraction 6 over 50
fraction 44 over 50
fraction 6 over 44
fraction 18 over 44
Answer:
Step-by-step explanation:
i am not sure do they give you a number of tiles
Answer:
A: 6/50
Step-by-step explanation:
i think