Answers
Answer:
1. figure b' is similar but not congruent to figure b
2. m<k'=-m<k
3. reflect across the x-axis, rotate 90 degrees counterclockwise about the origin, and then dilate by a scale factor of 4 centered at the origin
4. on reflection, parallel lines are taken to parallel lines, so a'b' will be parallel to c'd'.
------------------------
Step-by-step explanation:
1. it is similar because it has the same number of sides, shape, etc. it is not congruent because the two figures are not the same size
2. because it is rotated and reflected instead of dilated, it will be equal to the original image. but, the original will be negative because it is on the negative half of the plane.
3. the second image becomes positive, so we know it reflects over the x-axis. we can also see that the '-1' turns into a '4', which means that it was dilated by a factor of 4.
4. basically, when you reflect the image, it it just a few points below the original one. because of this, lines a'b' and c'd' will never touch, as they are parallel
Related Questions
Lancelot deposited $5000 each into 2 different savings accounts. Account A earns 8% simple interest. Account B earns 8% interest compounded annually. What is the sum of the balances of both accounts at the end of 6 years?
Answers
Answer:
$15,334.37
Step-by-step explanation:
Lancelot deposited $5000 each into 2 different savings accounts.
Step 1- For simple Interest
Amount of money in the account
Account A earns 8% simple interest.
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 5000(1 + (0.08 × 6)) = 7400
A = $7,400.00
Step 2- For Compounded Interest
Account B earns 8% interest compounded annually.
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.08/1)(1)(6)
A = 5,000.00(1 + 0.08)(6)
A = $7,934.37
The sum of the balances of both accounts at the end of 6 years is calculated as:
$7,934.37 + $7,400.00
=$15,334.37
PLEASE HELP!! Theres two questions
John has a 12 foot ladder. He wants to lean it against a wall. He needs the base of the ladder to be 6 feet from the base of the wall. What is the measure of the angle formed with the ground? (number only. do not include the degree sign or the word degrees)
My office is 10 ft by 12 ft. I want to buy border for the top of my wall. I have a 3ft door on a 10 ft wall and a 3 ft window directly across from it. How much wallpaper border should I buy? (number only, do not label your answer)
Answers
Answer:
1) 90
2) 38
Step-by-step explanation:
1) look at the attached diagram
As you can see, the floor and the wall must meet at a 90° angle.
2) Perimeter of office: 10 + 12 + 10 + 12 = 44
Subtract the door and windows' lengths:
44 - 3 - 3 = 38 ft.
To the nearest tenth, find the area of a circle with diameter of 6m. Use 3.14
Answers
Answer: 28.3 squared
Step-6 divided by 2= 3 then 3x3=9 then 9x3.14=28.26 then round 28.3
The terminal side of θ in standard position contains the point (–4, 3). Find the exact values of the six trigonometric functions of θ. (show all of your work) *
Answers
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
find the length of the segment from A to B, round to the nearest tenth.
Answers
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.
Answers
Answer:
110.75 = 16 + 10.5h
Step-by-step explanation:
who ever can solve this gets 20 points
I NEED ANSWERS SOON PLS!!!
Answers
Answer:
100 - 1/20 = 99.95
99.95 - 45 = 54.95
54.95 x 18/100 = 9.891, 54.95 - 9.891 = 45.059
45.059 - 12 = 33.059
33.059 divided by 2.50 = 13.2236, about 13 games
f(x)= x g(x)=x+1 graph f/g
Answers
Answer:
Step-by-step explanation:
x
(f/g)(x) = -----------
x + 1
Notice that x cannot be -1, which would lead to division by zero. Thus, x = -1 is the vertical asymptote. Also notice that if x grows increasingly large, the fraction shown tends towards x/x, or 1, so we know that the horizontal asymptote is y = 1.
Draw a set of x-y axes and graph y = 1 and x = -1. Plot (0, 0). Again, note that the graph of this function never touches/crosses x = -1. So, for (-1, 0) the graph is a curve caught between x = -1 and x = 0 that increases as x increases. For (0, infinity), the graph heads upward at a slow pace and then levels off nearly parallel to y = 1 (the horizontal asymptote).
As x increases from left to right, y starts out slightly greater than y = 1 and then (while still in Quadrant II) curves upward and approaches the vertical asymptote x = -1.
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
Answers
i got it right cus im smart
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Answers
Answer:
if i remember how to do these, it would be 6
Step-by-step explanation:
so you would put the number on the left before each number, and all that is less than 90 would be counted
Find the area of the shaded region. Round to the nearest hundredth where necessary.
Answers
Answer: See explanation
Step-by-step explanation:
7. 300-117= 183 square inches
8. 346.185-153.86= 192.325 square inches
10. 100.46-64=36.46 square inches
Find the volume of the prism
Answers
Answers:
1.) 1/9 m cubed
Explanation: The formula is l x w x h. So 1/3 x 1/2 x 2/3.
2.) 15/16 ft cubed
Explanation: 5/4 x 3/2 x 1/2.
Hope it helps :)
Someone plz help me giving brainliest
Answers
Answer:
B. 5 2/5
Step-by-step explanation:
Use the long division solution to convert the original fraction ( 27/ 5 ) to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction ( 5 ) , and the fraction portion of the mixed number will be the remainder of the original fraction division ( 2 ) over the denominator of the original fraction ( 5 )
what number is different from the other
the group
8, 27, 36, 64, 125
Answers
Answer:
125
Step-by-step explanation:
i guess is the different from other
Is r = 9 a solution to the inequality below?
72r
yes
no
Submit
Explain how to solve problems like this please
Answers
Answer:
No.
Step-by-step explanation:
For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.
1. 5 less than three times a number, n?
2 . Y multipled by 3.2 and then 12 added to the product ?
3. Eight more than four times a number , n ?
4. 8(m+1) ?
Please pick a number and help me with it and you can just tell me the answer.
Answers
Answer:
1. 5 less than three times a number, n?
=3n-5
2 . Y multipled by 3.2 and then 12 added to the product ?
=3.2y+12
3. Eight more than four times a number , n ?
=4n+8
4. 8(m+1) =8m+8
How many ways can I have 5 letters and 5 addressed envelopes, so that no letter is in the correct envelope
Answers
Answer:
22 ways.
Step-by-step explanation:
plsss help with this question lolz
Answers
Answer:
for output: 4, 6, 8, 10
Input: (i think) 1,5,5,1
Step-by-step explanation:
Which of the following represents the outcomes for those not in event E and not in event F
Answers
Answer:
B
Step-by-step explanation:
the sentences of b option can be
not event É and not event F
PLEASE HELP WITH ONE I NEED THE WORK FOR IT!! 20 POINTS AND BRAINLIEST
Answers
Answer:
too blurry
Step-by-step explanation:
Answer:
1. Missing length-8.48528137424
2. Missing length- 13.9283882772
3. Missing length-17.3205080757
4. Missing length- 14.7986485869
Cone A and cone B are similar . Find the volume of cone B. Leave your answer in terms of pi.
Answers
Answer:
144π
Step-by-step explanation:
So you have the volume of A is 96π.
Since the radius of cone A is 6 and the radius of cone B is 9, the ratio of the volumes is 2:3 since it says that they are similar.
Cone B's volume is 1.5 times bigger than cone A.
96π * 1.5 = 144π
Is (-2, 4) a solution of the graphed inequality?
Answers
Answer:
No
Step-by-step explanation:
the point (-2,4) is in the white section of the graph which is not part of the inequality.
evalute the expertion (-5)(7)+4=
Answers
Answer:
(-5)(7)= -35
-35+4=-31
your answer is -31
hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.
Answers
the thousands placeeee
Shen made $25,000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7000 plus 15% for the amount over $7000.
How much must Shen pay in income tax for last year?
Answers
Answer:
3400
Step-by-step explanation:
25000
- 7000 x .10= 700 calculate 10% tax
——————
=18000 x .15 =2700 calculate tax over 7000 at 15%
total tax. = 3400
Which of the following is another way to write 1,645.29?
A.
1 thousand + 6 hundreds + 4 tens + 5 ones + 2 tenths + 9 hundredths
B.
1 thousand + 6 hundreds + 4 tens + 5 ones + 2 hundredths + 9 thousandths
C.
one thousand, six hundred forty-five and twenty-nine tenths
D.
one thousand, six hundred forty-five and twenty-nine thousandths
Answers
Answer:
the answer is A 1 thousand 6 hundreds 4 tens 5 ones 2 tenths 9 hundreths
pls help!!
solve for x:
1. 1/2x+16=28
2. 2/3x-14=6
Answers
Answer:
1. x=24 2. x=30
Step-by-step explanation:
1. 1/2x+16=28
1/2x=12
x=24
2. 2/3x-14=6
2/3x=20
x=30
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is? A. 7.94 × 107 miles B. 7.94 × 108 miles C. 4.3 × 107 miles D. 4.3 × 108 miles
Answers
Answer:
B. 7.94 × 10^8 miles
Step-by-step explanation:
Given that
Earth is approximately 9.3 × 107 miles from the sun.
Saturn is approximately 8.87 × 108 miles from the sun.
We need to find out how much farther is saturn from the sun than earth is
So,
Earth - Sun = 9.3 × 10^7 miles
Saturn - Sun = 8.87 × 10^8 miles
Now
= 8.87 × 10^8 - 9.3 × 10^7
= 88.7 × 10^7 - 9.3 × 10^7
= 79.4 × 10^7
= 7.94 × 10 ^8
= 794,000,000 miles
Hence, saturn is 7.94 × 10^8 miles farther from Sun than Earth is
Jada lives 1 3/10 miles from school. Lin lives 1/4 mile closer to school than Jada. How far does Lin live from school? Type in the number of your answer AND type a sentence that explains how you found it.
Answers
Answer:
Lin lives 1 1/20 miles away from school
Step-by-step explanation:
1 3/10 becomes 1 6/20
1/4 becomes 5/20
1 6/20 - 5/20
= 1 1/20
What is the area of the rectangle above?
A. 24 square units
B. 22 square units
C. 11 square units
D. 32 square units
Answers
Answer:
The answer is
a. 24 square units