Triangle A'B'C'is the image of triangle ABC under a rotation about the origin. (0,0)
determine the angle of rotation
a. -105
b. -75
c. 75
d. 105
Answers
9514 1404 393
Answer:
b. -75°
Step-by-step explanation:
Point A moves from (-4, -3) to (-4, 3). We can find the angle of rotation several ways. One is to consider the tangent of the angle relative to the x-axis.
Point A is on a line that makes an angle to the x-axis of ...
∠A = arctan(-3/-4) = 36.9°
Point A' is on a line that makes an angle to the x-axis of ...
∠A' = arctan(3/-4) = -36.9°
Then the change in angle is ...
∠A' -∠A = -36.9° -36.9° = -73.8°
The closest answer choice is ...
b. -75°
Related Questions
Samir just finished renovating a house during the renovation he added a steel beam as a support the steel beam was 15 feet long and cost $135 complete the statement by selecting the correct dollar amount from the provided list
the cost of the beam was _______per yard
Answers
Answer:
$27
Step-by-step explanation:
According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.
15 divided into 3 equals 5
$135 divided into five equals $27
I hope this helps.
Match the chart to the type:
1. A chart that monitors the count of objects with a specific characteristic during a time period, or over consistent amount of area.
2. A chart that monitors the within sub-group variation with the range of the subgroups.
3. A chart that monitors the within sub-group variation with the standard deviations of the subgroups.
4. A chart that monitors the proportion of objects from a sample of size n that does, or does not have, a certain characteristic.
5. A chart that monitors the between sub-group averages of a quantitative characteristic.
key:
a. R chart
b. x-"bar"
c. chart
d. s chart
e. z chart
f. t chart
g. f chart
h. c chart
g. p chart
Answers
Solution :
1. A chart monitoring the object counts with some specific characteristic during the time period and/or some of consistent amount area -- c. c - chart
2. A chart which monitors the subgroup variations within the range of subgroups -- a. R chart
3. The chart monitoring the variation of within subgroup to that of the standard deviations of the subgroups -- d. s chart
4. The chart which monitors the objects' proportion from the sample size of n which does or does not have any particular characteristics -- g. p chart
5. The chart monitoring the averages between the subgroup of the quantitative characteristic keys -- b. x-"bar" chart
Alina's home is 15km from Sentosa. She cycles a distance of 8km. What percentage of the total distance does she have left to cover? Give your answer correct to 2 decimal places.
Answers
Answer:
55.5 percent of the way!!!!!!
Need ASAP
What is the measure of angle m in kite klmn
Answers
According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 1004 people was polled, about how many were in favor of the expansion?
Answers
Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.
A random sample of 10 shipments of stick-on labels showed the following order sizes. 45,424 38,958 53,726 24,760 27,866 46,843 26,478 23,983 34,088 57,814
(a) Construct a 95 percent confidence interval for the true mean order size. (Round your standard deviation answer to 1 decimal place and t-value to 3 decimal places.) The 95 percent confidence interval _______to ________
(b) The confidence interval can be made narrower by:________.
i. decreasing the sample size or decreasing the confidence level.
ii. increasing the sample size or increasing the confidence level.
iii. increasing the sample size or decreasing the confidence level.
iv. decreasing the sample size or increasing the confidence level.
Answers
Answer:
way too hard
Step-by-step explanation:
What’s the side length to FD?
Answers
please help me i really need help please
Answers
Answer:
So, I think you're talking about 180-118, which is 62
Step-by-step explanation:
180-118=62
At the movies, tickets cost $12 for adults and $6.50 for kids under 12.
How many total tickets would someone get if they purchased 7 adult
tickets and 9 kids tickets? How many total tickets would someone get if
they purchased a adult tickets and k kids tickets?
Answers
Answer:
104 in total
6.5k+12a=18.5ka
Step-by-step explanation:
2/3 divided by 5
Send help for me please
Answers
Answer: 0.13
Step-by-step explanation:
g(x)=3x-2
FIND g(8)
Please helpppppppppppp
Answers
Answer:
g(8) = 3(8)-2
g(8) = 24-2
g(8)= 22
Step-by-step explanation:
8/9+8/9
enter answer as a fraction
Answers
is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials
Answers
No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is x(4x²+8x+12).
Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.
So, group and factor out the greatest common factor (GCF), then combine.
That is, 4(x²+2x+3)
Now, x(4x²+8x+12)= 4x(x²+2x+3)
Therefore, option C is the correct answer.
To learn more about the factorization visit:
https://brainly.com/question/26923098
#SPJ2
The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature finding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.
Answers
Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) = [tex]a(e)^{nt}[/tex]
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 = [tex]91.8(e)^{n\times 1}[/tex]
eⁿ = [tex]\frac{84.4}{91.8}[/tex]
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = [tex]98.6(e)^{-0.08403t}[/tex]
[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]
[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am
Sandra is making a vegetable soup. if she makes 12 cups of soup, how many cups of onions does she need? carrots 1/3 cup onions 1/8 cup peas 1/4 cup
(please answer fast)
Answers
Answer:
1 1/2 cups you multiply 1/8 ×12
please answer me without spamming
Answers
Step by step:-
Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?
Answers
Answer:
65
Step-by-step explanation:
x=52+y
x=5y
y=x/5
x=52+(x/5)
x-(x/5)=52
(5x-x)/5=52
4x=52×5
4x=260
x=260/4
x=65
Bunga is 65 yrs old
Metali is 13 yrs old
PLEASE HELP WHO EVER GET THIS RIGHT WILL MAKE U BRAINIEST
Answers
Answer: 150
Step-by-step explanation:
You got it right, just divide 300 by 2 :)
Answer:
150
Step-by-step explanation:
50% is half if everything... half of 300 is 150
What is the surface area of the rectangular prism?
16 cm 2
48 cm 2
96 cm 2
80 cm 2
Answers
Answer:
Surface area = 80 cm²
Step-by-step explanation:
Surface Area of rectangular prism = 2(LW + LH + WH)
L = 4 cm
W = 4 cm
H = 3 cm
Plug in the values
Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)
Surface Area = 2(40) = 80 cm²
1,8,64, ...
What is the 10th term in the sequence?
Answers
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (1.999)3
Answers
Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is
f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)
Compute the derivative:
f(x) = x ³ → f ' (x) = 3x ² → f ' (2) = 12
Then
L(x) = 8 + 12 (x - 2) = 12x - 16
Now approximate 1.999³ :
f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988
(Compare this to the actual value, 7.98801.)
Can someone tell me the answer pls
Answers
Answer: The second and the last answer are correct
Step-by-step explanation:
let m represent the number of children playing soccer. those children are separated into four equal groups. write an expression for the number of children on each team. what is the answer to this does anyone know?
Answers
Answer:
m/4
Step-by-step explanation:
m is how many children are playing.
They are separated into 4 groups. Making it m(how many people are playing), out of 4.
For example, if m=12, then it would be 12/4, so 3 children will be in each group.
Hope this helps, you can change this to you own desire.
24. Reconsider the sample observations on stabilized viscosity of asphalt specimens introduced in Exercise 43 in Chapter 1 (2781, 2900, 3013, 2856, and 2888). Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypotheses.
Answers
Answer:
heyy!! I can't attach my answer here does someone know how to attach images?
Step-by-step explanation:
[tex]4x - {x}^{3} [/tex]
Answers
If a student thinks of a number from 1 to 75, what is the probability that the number will be 20, 30, or 40?If a student thinks of a number from 1 to 75, what is the probability that the number will be 20, 30, or 40?
Answers
Answer:
the probability is 3/75.
Which of the following best describes the slope of the line below?
A. Undefined
B. Positive
C. Zero
D. Negative
Answers
Answer:
zero
Step-by-step explanation:
the slope does not change in y at all.
Belle is playing a game where the probability of drawing a card with a value greater than 12 is 1/16. If she draws 64 cards throughout the game what is the best prediction of the number of cards she will draw with a value greater than 12?
Answers
0.8 repeting
Step-by-step explanation: 1/6 times 64 divded by 12.
Type the correct answer in each box.
Answers
Answer:
X = 30 degrees, z = 80 degrees and y = 70 degrees
find a solution to the situation. Claire has 8 fewer books than Mai. If Mai has 26 books, how manny books does Claire have?
Answers
Answer:
18 books
Step-by-step explanation: