Answers
This is equivalent to the fraction 1/2
==============================================================
Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
--------------------------
The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
---------------------------
Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
Related Questions
I need help solving this
(cscB/cotB)=
Answers
Answer:
This would equal sec (B)
Step-by-step explanation:
The simple interest on $12 000 invested at 8% per annum is $6720. Calculate the number of years for which the sum was invested. *
Answers
Answer:
7 years
Step-by-step explanation:
Given :
The Simple Interest earned, I = $ 6720
Rate of interest, r = 8% per annum
Principal amount, P = $12,000
We known that :
[tex]$I = \frac{P \times T \times r}{100}$[/tex]
Here t is the number of years of investment.
Therefore,
[tex]$t= \frac{I \times 100}{p \times r}$[/tex]
[tex]$t= \frac{6720 \times 100}{12000 \times 8}$[/tex]
t = 7
So, the sum was invested for 7 years.
At Graysons pancake house there are 86 dirty mugs and 774 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty?
Answers
Answer:
10%
Step-by-step explanation:
86 + 774 = 860 total mugs
86/860 or 86 ÷ 860 = 0.1 or 10%
what is the product of nine and y
Answers
Answer:
9y
Step-by-step explanation:
9 times y = 9y
product means multiply
please help asap What is the sum of the following two polynomials?
(3x2 – 5x + 3) and (-x2 – 3x)
Answers
=3x^2-5x+3 + (6x^2)
=9x^2-5x+3
Answer:
2x² - 8x + 3
Step-by-step explanation:
( 3x² - 5x +3) + (-x² - 3x)
= 3x² - 5x +3 - x² - 3x
= 3x² - x² - 5x - 3x + 3
= 2x² - 8x + 3
In a table of values, if the pattern is adding 5, is the relationship additive
or proportional? *
Answers
Answer:fhhxijcubv
Step-by-step explanation:
Cvhgghjbghv
. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side of length 8.
Answers
Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Let a=8, b=7 and c=14, then by using Law of Cosine, we get
[tex]\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}[/tex]
[tex]\cos A=\dfrac{49+196-64}{196}[/tex]
[tex]\cos A=\dfrac{181}{196}[/tex]
Taking cos inverse on both sides.
[tex]A=\cos^{-1}\dfrac{181}{196}[/tex]
[tex]A=22.561328[/tex]
[tex]A\approx 22.6[/tex]
Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.
i need help asap please it going to 100 points
Answers
Answer:
x ≥ 10
Step-by-step explanation:
So put a filled-in dot on 10 and an arrow going to the right
Answer: x ≥ 10
Step-by-step explanation: i took the test
Add Polynomials
(3y + y^3– 5) + (4y– 4y + 2y^3+ 8)
Answers
Step-by-step explanation:
Please refer to the attachment
Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years.
What will the balance in his account be after 3.5 years?
Answers
Answer: 1210
Step-by-step explanation:
what is the unit rate of 3 pounds of candy for $4.50
Answers
Answer:
The unit rate will be amount ÷ price
Thus,
3÷4.50
⇒ 0.66..........
And this means 0.66 will be the range.
Due today almost time.
Answers
Answer:
angle 7and 8
angle 9 and 6
Step-by-step explanation:
Sarah uses a recipe to make 3 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have a capacity of 1 pint.
Answers
Answer: 24 bottles
Step-by-step explanation: 1 gallon is 8 pints so 8*3 is 24 so 24 bottles
2⁄7 · n = 4 what is the answer
Answers
Answer: the answer is 14 if the 2 and 7 are a fraction and if it’s just 27xn=4 the answer is 4/27 and in decimal form it’s 0.148
Step-by-step explanation:
Answer: n=14
First, multiply 2/7xn which is 2n/7=4
Next, multiply both sides by 7 to get the 2n on one side by its self (2n=28)
Then divide 28 by 2 which gives you n=14
Hope that helps
Identify the outlier in the data set, and determine how the outlier affects the mean, median, and mode of the data. Then tell which measure of central tendency best describes the data with and without the outlier. Justify your answer. 85, 91, 83, 78, 79, 64, 81, 97
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
85, 91, 83, 78, 79, 64, 81, 97
Ordered data : 78, 79, 81, 83, 85, 91, 97
Mean:
Σx / n =
n = sample size = 8
(64+78+79+81+83+85+91+97) / 8
= 658 / 8
= 82.25
Median = 1/2(n+1)th term
1/2(8+1)th term = 1/2 * 9 = 4.5th term
(4th term + 5th term) /2 = (81 + 83) / 2 = 82
Mode = 85, 91, 83, 78, 79, 64, 81, 97
Outlier:
Lower = Q1 - 1.5(IQR)
Upper = Q3 + 1.5(IQR)
Using a calculator :
Q1 = 78.5 ; Q3 = 88 ;
IQR = (Q3 - Q1)
(88 - 78.5) = 9.5
Outlier :
78.5 - 1.5(9.5) = values < 64.25
88 + 1.5(9.5) = values > 102.5
Hence. Outlier is 64
Removing the Outlier :
Data = 78, 79, 81, 83, 85, 91, 97
Mean = 84.85
Median = 83
Based on the result, the median is the best measure of central tendency for the data:
If segment CD is congruent to segment XY, what is true about the two segments? PLEASE ILL GIVE BRAINIEST IF CORRECT
Answers
Answer:
CD overbar is congruent to XY overbar
Please Help me and i wil......i dunno just help
Answers
Answer:
I think c, - 1.8 is the answer
-1.6 (c)
My reasoning behind this is that the number would be logical considering the fact that the point is close to 0. Also, I ruled out the other choices, and here's how I did it:
I know that A is not the answer because that would make it farther back on the number line and the point B is closer to 0 than it is to 3.8 so, I know that A is not correct.
I know that B is not the answer because -5.23 would be farther behind point A which rules it out entirely.
I know that D is not the answer because 0.1 would be right after point c (0) meaning that the point can be ruled out right away.
That leaves the only logical answer to be C because it is closer to 0 but still in between points A and B.
Hope this helps and have a nice day.
-R3TR0 Z3R0
PLease Help Will Mrk Brainliest
Answers
Answer:
x=81°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
57+42=99
180-99=81
How do you complete the square algebra 1 bju
Answers
Answer:
8x^4
Step-by-step explanation:
x^2*x*8*x
=8*x^4
=8x^4
I believe I am accurate! So sorry if I am mistaken, I couldn't see the problem perfectly. Also, make sure to have the picture blurry it was very difficult to calculate the correct interpretation (even if I am correct).
Consider the equation and the graph. 2/x+4 = 3^x +1
Answers
2/x+4=3^x+1It's too short. Write at least 20 characters to explain it well.
The dimensions of a rectangle are 5x + 2 and 3x – 4. What is the area of the rectangle in terms of x?
Answers
Answer:
The area of the rectangle in terms of x :
S = ( 5x +2 )(3x-4) = 15x²−14x−8
=> x1=−2/5, x2= 4/3
Step-by-step explanation:
Write 65/22 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answers
Answer:
2.954545454
Step-by-step explanation:
65/22 = 65 divided by 22. That is how many times 22 can go into 65
A decimal number has a decimal point in it. That is a whole number and some fraction that could be in tenths or otherwise.
65 is the numerator,
22 is the denominator
Using a calculator
65/22 = 2.9545454
Please help ASAP thank you!!!!
Answers
Answer:
41. f⁻¹(x) = -9x + 4
43. m⁻¹(x) = ∛(x-2)/4
Step-by-step explanation:
41. y = (4-x)/9
swap x and y: x = (4-y)/9
solve y: 9x = 4-y
y = -9x + 4
45. y = 4x³+2
x = 4y³+2
4y³ = x-2
y³ = (x-2)/4
y = ∛(x-2)/4
Let you do 42 and 46 by yourself
2.29+2.59-0.50-0.30 please help me out
Answers
Answer: the answer is 4.08
Step-by-step explanation:
Answer:
4.08
Step-by-step explanation:
2.29+2.59-0.50-0.30 is equal to 4.08
it's just addition and subtraction haha
help plzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
A and C
Step-by-step explanation:
#CarryOnLearning
This image is made of a rectangle and a triangle. Find its area in square meters.
Answers
Answer:
sorry i did my math wrong its...I think its 84 meters
HELP ILL GIVE BRAINLIEST Isabel can read 3.82 pages of a book in a minute. If she read for 2.70 minutes, how much would she have read?
Answers
Answer:
10.314
Step-by-step explanation:
A seagull is flying 20 feet above sea level while a shark is swimming 30 feet below sea level. What is the distance between the seagull and the shark?
Answers
Answer: 50 ft
Step-by-step explanation:
The seagull is 20 ft above sea level.
Shark is 30 ft below seas level.
To find their distance, add their distances from sea level because it is middle ground between where they both are:
= 20 + 30
= 50 ft
What is 8 (z + 8) expanded
Answers
Multiply 8 and z, and 8 and 8.
8z+64
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hope it helps
Science class begins at 1:30 PM and ends at 3:00 pm how many minutes long is science class
Answers
90 Minutes i think
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