Answers
Answer:
The new coordinates are ( - 4, 5).
Step-by-step explanation:
P = (5, 4)
angle of rotation, A = 270 degree counter clock wise
x = 5 and y = 4
The new coordinates are
x' = x cos A + y sin A
y' = y cos A - x sin A
So,
x' = 5 cos 270 + 4 sin 270 = 0 + 4 (-1) = - 4
y' = 4 cos 270 - 5 sin 270 = - 5 (-1) = 5
So, the new coordinates are ( - 4, 5) .
Related Questions
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.
Answers
Answer:
I = (2,000) (0.08) (6)
I = (160) (6)
Steve pays $960 in interest
Step-by-step explanation:
I completed the quiz :)
A marathon takes place each year.In 2020 there were 6500 runners.Does this predict that in 2023 there will be more than 7500 runners? { Prediction : For each of the next 3 years the number of runners will increase by 5% } Does this predict that in 2023 there will be more than 7500 runners?
Answers
Answer:
yes
there would be 7525 runners
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value
R = interest rate
N = number of years
6500 x (1.05)^3 = 7525 runners
Find the number that makes the ratio equivalent to 1:4.
5:
Answers
Answer:
5:20
Step-by-step explanation:
*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000
Answers
Answer:
[tex]61600[/tex]
Step-by-step explanation:
[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]
will mark brainliest
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answers
Answer:
53°
Step-by-step explanation:
Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.
For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure
the opposite side from x is 45 cm and the hypotenuse is 53 cm
sin(x)=[tex]\frac{45}{53}[/tex]
then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])
most graphing calculators should solve it from there if you plug it in, hope this helps! :)
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answers
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
95(43+57)=
A. 9,005
B. 9,400
C. 9,500
D. 90,500
Answers
use distributive property to multiply whats in the parentheses by 95.
i neeeeeeeeeeeeed help
Answers
Answer:
the correct answer is that it's true :)
Plz solve this question
Answers
Answer:
first one
Step-by-step explanation:
and is this a test?
Which statement is correct is correct?
A.) Sine is the reciprocal of secant.
B.) Cosecant is the reciprocal of tangent.
C.) Secant is the reciprocal of cosine.
D.) Cotangent is the reciprocal of cosecant.
Answers
Answer:
C
Step-by-step explanation:
This graph represents the relationship between x and y what is the equation showing the relationship between x and y
Answers
an athlete is running around a circular path that has a diameter of 250 and an arc of 120 also use 3.14 as pie
Answers
Answer:
1257.14 m or 1.26 km
Step-by-step explanation: hope this helps :)
if m1=35° and m2=75°, what is m3?
Answers
Answer:
m3 should be 70°
all internal angles of a triangle add up to 180
180-35-75 = 70
Answer:
All angles of a triangle add up to 180°.
there m1+m2+m3=180°
35+75+m3=180
110°+m3=180°
m3=180°-110°
m3=70°
Answer is A.
HELP PLEASE NO LINKS!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
17.98
Step-by-step explanation:
The sequence is geometric with first term a1 = 12 and common ratio r = 1/3. Put these numbers in the formula and do the arithmetic.
[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\S_6=12\cdot\dfrac{1-\dfrac{1}{3^6}}{1-\dfrac{1}{3}}=12\cdot\dfrac{3}{2}\cdot\dfrac{728}{729}=\dfrac{1456}{81}\approx\boxed{17.98}[/tex]
please check screenshot
Answers
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
help please! very confused
Answers
Answer:
???ummm no details
Step-by-step explanation:
Step-by-step explanation:
Triangle and pyramid
Because the others wouldn't give you a prism
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answers
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I need the answer pls
Answers
Answer:
s
Step-by-step explanation:
sdd
What are the zeros of the quadratic function f(x) = 2x2 – 10x - 3?
O x=-
5
2.
731
+
2
♡
37
and x=-
8
+
37
8.
2
31 and x =
O x=-
O x= { I and x= + 1
o x=- and x = {+7
Answers
Answer:
B is the answer....I did this math problem
The zeroes of the quadratic function given are 5/2 + √31 / 2 and 5/2 - √31 / 2.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given quadratic function is
f(x) = 2x² - 10x - 3
We can find the roots of the quadratic function using the quadratic formula.
Quadratic formula for the quadratic function f(x) = ax² + b x + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a
Here, a = 2, b = -10 and c = -3
Substituting the values,
x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)
= (10 ± √(100 + 24) ) / 4
= (10 ± √124) / 4
= (10 ± √(31 × 4)) / 4
= (10 ± √31 √4) / 4
= (10 ± 2√31) / 4
= 10/4 ± 2√31 / 4
= 5/2 ± √31 / 2
Hence the roots are 5/2 + √31 / 2 and 5/2 - √31 / 2.
Learn more about Roots of Quadratic Functions here :
https://brainly.com/question/9155953
#SPJ7
2√3+4√18 in simplest radical form
Answers
Answer:
[tex]2\sqrt{3} + 12\sqrt{2}[/tex]
Step-by-step explanation:
Simplify each term.
d=-0.5t + 7
I REALLY NEED HELP ASAP I WILL MARK BRAINLIEST TYTY
Answers
Answer:
7.5t
Step-by-step explanation:
Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?
Answers
$712.72
780×0.15
117
780−117
663
663×0.075
49.725
49.725+663
712.72
Discount = 15%
Tax = 7.5%
Price after tax = price + 7.5/100 price
= 780 + 7.5/100 * 780
= 780 + 58.5
= 838.5
Price = 838.5
Price after discount = 838.5 - 15/100 * 780
= 838.5 - 117
= 721.5
Which of the following 2D shapes compose the net of a square pyramid? Select all that apply.
A) non-square rectangles
B) circles
squares
D) triangles
Answers
The stem and leaf plot shows the number of items in each of the 12 collections in a museum.
stem leaf
0
3
3
3
5
7
9
1
2
2
3
3
3
2
6.
3
9
Key: 2 6 represents a collection with 26 items in it.
Here is the five-number summary for these data:
Five-number summary
min Qi median Q max
3
6
12
13
39
According to the 1.5. IQR rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
0
1
2
3
Answers
Outliers are data elements that are relatively far from the other data elements.
There are 2 high outliers in the data set.
The five number summary is given as:
[tex]\mathbf{Minimum=3}[/tex]
[tex]\mathbf{Q_1=6}[/tex]
[tex]\mathbf{Median=12}[/tex]
[tex]\mathbf{Q_3=13}[/tex]
[tex]\mathbf{Maximum=39}[/tex]
The lower outlier is:
[tex]\mathbf{L = Q_1 - 1.5 \times (Q_3 - Q_1)}[/tex]
So, we have:
[tex]\mathbf{L = 6- 1.5 \times (13 - 6)}[/tex]
[tex]\mathbf{L = -4.5}[/tex]
The upper outlier is:
[tex]\mathbf{U = Q_3 + 1.5 \times (Q_3 - Q_1)}[/tex]
So, we have:
[tex]\mathbf{U = 13 + 1.5 \times (13 - 6)}[/tex]
[tex]\mathbf{U = 23.5}[/tex]
The above computation means that;
Data less than -4.5 or greater than 23.5 are outliers
The data elements in this range are: 26 and 39
Hence, there are 2 high outliers in the dataset
Read more about outliers at
https://brainly.com/question/12504076
Find all the missing angles, pls help it’s due soon
Answers
Answer:
To get C
180-163(angles on a straight line)
=17
17 is vertically opposite c
And from geometry... Vertically Opposite angles are equal.
a=90°
b=163° too (Vertically opposite angles)
e=70(vertically opp. angles)
d=110.
plz help its timed!! will give brainliest
Answers
x = 7
Hope this helps!-Finnydoes anyone know this?
Answers
Answer:
Hello! answer: a = 24
Step-by-step explanation:
30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!
Hey whats
[tex] \sqrt[3]{8 \times 1000} [/tex]
Don't answer
Answers
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
[tex]\sqrt[3]{8 \times 1000} \\ = 2 \times 10 \\ 20[/tex]
Answer:
20 is your answer
u hope it helps
Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?
Answers
Answer:1.86*10^5
Step-by-step explanation:
Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.
PLZ HELP ME, IM BAD AT THIS