Answers
Answer:
25 units.
Step-by-step explanation:
The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.
Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.
Now that we know the triangles are similar, we can construct a proportion...
\(\frac{16}{20} =\frac{20}{x}\)
That means that 4/5 = 20/x
1/5 = 5/x
x = 25
Hope this helps!
Related Questions
Explain how to determine whether two quantities are proportional.
Answers
Step-by-step explanation: Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
The width of a rectangle is 3 inches less than half of the length. The length is 27 inches. What is the area of
the rectangle?
Answers
Answer:
10.5
Step-by-step explanation:
27 / 2 = 13.5, 13.5 - 3 = 10.5
Only EVENS {100 points} + Brainlist "PLEASE ASAP" IF YOU DONT WANT TO HLP PLEASE DONT ANSWER
Answers
Answer:
1. $36.90
2.$81
3.$153
4.$217.80
5.$16.50
6.$22.80
7.$58.50
8.$34.40
9.$15.39
10.$12.06
11.$16.05
12.$26.78
13.$50.76
14.$74.55
15.$11.34
16.$38.24
17.$32.20
18.$49.60
19.$20.91
20.$41.80
21.$8
22.$21
23.$35
24.$70
Step-by-step explanation:
Step 1. I looked at the corner of the page
Step 2. I looked up the book until found the answers
Try doing that one time if you want the answers
~ Plz hit the crown~
~ Thank you~
You are writing a science research paper for your Chemistry class. You can type four pages per hour and you have already typed two pages. Write a function where t represents the number of hours and W(t) is the total pages written.
Answers
Answer: W(t) = 4t + 2
Step-by-step explanation:
y = ax + b
Because you have already typed two pages, the y-intercept(b) will be 2
The slope(a) is the number of pages typed per hour, which is 4.
So if you put it together:
W(t) = 4t + 2
PLEASE ANSWER QUESTION HRRY
Answers
Answer:
B, x = 3
Step-by-step explanation:
We can immediately set x - 3 = 0 and x - 7 = 0 in option B, so this is the quickest. When solving x - 3 = 0, we get x = 3.
theses are SOOOOO difficult 10 points if right
Answers
Which equation has the solution x = 3? Select each correct answer. Responses 5x−7=1 5 x minus 7 equals 1 9−3x=0 9 minus 3 x equals 0 2x + 4 = 10 2, x, + 4 = 10 3x + 1 = 9 3, x, + 1 = 9 9x−1=4 9 over x end fraction minus 1 equals 4 x3+5=6 x over 3 end fraction plus 5 equals 6 (dont answer)
Answers
Answer:
Step-by-step explanat
none of them
What was done to get from Step 2 to Step 3 in solving the equation?
12x + x = 180 − x
Step 1: 32x =1 80 − x
Step 2: 52x = 180
Step 3: x = 72
Answers
Write the number in expanded form for the significant digits
117.000
20.018
13.265
3.4000
0.8100
Answers
1. 117.00= 100+ 10+ 7
2. 20.018 = 20+ 0.01+ 0.008
3. 13.265 = 10+ 3+ 0.2+ 0.06+ 0.005
4. 3.4000 = 3+ 0.4
5. 0.8100 = 0.8+ 0.01
(-3 +1/2x) + (1 +1/6x)
help i need this today!!!!!deadline by 12:00am
Answers
Answer:
2/3 (x - 3)
Step-by-step explanation:
hope this helps =)
2/3 (x-3)
Step-by-step explanation:
hope that helps!
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
The _____ is the result of the sum of the numbers being divided by how many numbers there are in the set.
A.mean
B.set
C.middle
D.median
Answers
Answer:
the mean is the result of the sum of the numbers being divided by how many numbers there are in the set.
A. mean
Alex pays his bills online through his bank. He recently paid $156 for his electric bill and $61 for his internet bill. By how much did Alex's bank account change by paying the bills?
Answers
Answer:
hi paid electric bill$156
he paid for internet bill$61
$156+$61
=$217
What is 4/5 Divided By 5?
Answers
Answer:
0.16
Step-by-step explanation:
what you do is you 4/5 times the denominator by 5 to get 4/25=0.1
4/5. X. 1/5 So u get 4/25 which is .16
Maya has 4 3/4 cups of water. she waters her plant with 1 1/4 cups of water. how many cups of water does Maya have
Answers
4-1=3
3/4-1/4=2/4
3/4 - 1/4 = 2/4 or 1/2
= 3 2/4 or you can write it as 3 1/2
PLEASE HELP! I WILL MARK AS BRAINLIEST I PROMISE
Answers
mean= average
209/11 = 19
Given 11 different natural numbers, none greater than 20. Prove that two of these can be chosen, one of which divides the other.
Answers
Answer:11 honestly have no idea but im going to give my best answer it is 31
Answer:
777 838 3
Step-by-step explanation:
sood
Could I have help with number 23 please?
Answers
how do I know if im diving with ratio's or multiplying? please put a equation problem about dividing and multiplying ratios
Answers
Answer:
3/4 x 2/5
6/9 ÷ 4/7
Step-by-step explanation:
Please thoroughly explain how this is the correct answer. Thank you!
Answers
And root root mean pow(1/3)
And if you multiply pow(1/3) with pow(3)
It’s will give you pow of 1 as we want x in
Answer:
see below
Step-by-step explanation:
that is what you called nth Root
Just like the square root (\(\sqrt{13}\)) is used two times in a multiplication to get the original value.
And the cube root (\(\sqrt[3]{13}\)) is used three times in a multiplication to get the original value.
The nth root is used n times in a multiplication to get the original value.
ex:
x⁵ = 13 >>>> x = ⁵√13
x²⁰ = 13 >>>> x = ²⁰√13
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
-3 (x -4/3) < 6
pls help me pls help me
Answers
answer is -2/3 . Thanks a lot for giving point.
x > -2/3
Pleaseeee I need help fast
59 points no kidding
Just answer questions 5 and 6
Answers
Reason: it’s not moving at a constant rate/ not a straight line through the orgin
6. Type: exponential
Reason: exponential equations are written with x as an exponent while linear equations are written with an x after a number (variable)
99.9% sure it’s right…
Type: Non-linear
Reason: Not a line, or in a parabolic shape
Name the function: Quadratic
Question #6:
Type: Non-linear
Reason: X is the exponent
Name the function: Exponential
Find the volume of a prism. Show your work.
Answers
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
Laura determined the difference between 8 and –2 using the additive inverse. Her steps are shown below.
8 minus (negative 2) = negative 8 + 2 = negative 6
Which best describes the error in Laura’s work?
The 8 should have remained positive.
The 2 should have remained negative.
The addition of –8 and 2 was computed incorrectly.
The 8 should have remained positive, and the 2 should have remained negative.
Answers
Answer: The 8 should have remained positive.
The additive inverse of -2, is 2, thus, Laura's error was: The 8 should have remained positive
What is Additive Inverse?Additive inverse of a number is gotten by multiplying the number by -1. When you add the additive inverse and the number, it would give zero. For example, additive inverse of -2 is 2.
Based on what additive inverse of a number is, to find the difference, Laura shouldn't have included the negative sign to 2.
Therefore, her error is: The 8 should have remained positive
Learn more about additive inverse on:
https://brainly.com/question/1548537
#SPJ2
Complete the table. At the beginning of the summer, there are 15 rabbits living in a field. Each week for the rest of the summer, another rabbit moves in. The equation r=25 + w describes the number of rabbits, r, after a certain number of weeks, w
Weeks Since Summer Started Rabbits
1 _
_ 21
8 _
(image displayed below)
Answers
Based on the above, there are 26 rabbits after 1 week.
There are 33 rabbits after 8 weeks.
What is the numbers of Rabbits?Weeks Since Summer Started Rabbits
1 | 16
2 | 17
3 | 18
4 | 19
5 | 20
6 | 21
7 | 22
8 | 23
To find the number of rabbits after a certain number of weeks, we can substitute the number of weeks into the equation r = 25 + w and solve for r.
For example, after 1 week, we have:
r = 25 + w = 25 + 1 = 26
So there are 26 rabbits after 1 week.
Similarly, after 8 weeks:
r = 25 + w = 25 + 8 = 33
So there are 33 rabbits after 8 weeks.
Learn more about Number count from
https://brainly.com/question/27861861
#SPJ1
The approximate weights of the two animals are 5.12 x 10^2 lbs. and 6.8 x 10^2 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. Can you please help me and stop deleting my question :(
these are the answers
1.2 x 103 lbs.
1.19 x 103 lbs.
11 x 102 lbs.
5.8 x 102 lb
Answers
I
Answer: is b
Step-by-step explanation:
i will give brainly please help
Answers
Answer:
7 hours
Step-by-step explanation:
Hello!
Since both expressions are equal to each n, we can set the other halves of the expression equal to each other.
Solve for h:
n = 9h + 26n = 12h + 5n = n
9h + 26 = 12h + 59h + 26 = 12h + 526 = 3h + 521 = 3hh = 7
Michael will take 7 hours. Now that we know this, we can plug in 7 for "h" to solve for "n", the number of newspapers sold. Im going to use the first equation
Sove for n:
n = 9h + 26n = 9(7) + 26n = 63 + 26n = 8989 newspapers were sold.
The answer is 7 hours.
I need help with this problem. I need an explanation too thanks.
Answers
Answer:
The answer to your RSM question is \(m=\frac{11}{10}\)
Step-by-step explanation:
It is given that the two ratios are equal.
How much bigger is the right side of the equation than the left side?
Eight times bigger because 7x8=56.
Therefore we divide the 3.2 by 8 and get 0.4.
We can make an equation to find m:
\(\frac{4}{11}m=0.4\)
You solve and you get \(m=\frac{11}{10}\)