Answers
Answer:
x = 36
y = 37.95
Step-by-step explanation:
By geometric mean property:
[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]
By Pythagoras Theorem:
[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]
Related Questions
Which statements are true about the ordered pair (10, 5) and the system of equations?
{ 2x−5y=−5
{ x+2y=11
Select each correct answer.
The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.
The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.
The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (10, 5) is a solution to the system because it makes both equations true.
Answers
Answer:
the solution to the system is (5,3)
Step-by-step explanation:
the first statement is True: 2(10) - 5(5) = -5
20 - 25 = -5
-5 = -5
the second statement if False: 10 + 2(5) ≠ 11
the third statement is True
the last statement is False
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
Answers
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
which model represents 1/3
Answers
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
What is 2/5 ÷ 1/10 = ?
Answers
Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8
Answers
Answer:
n-8
Step-by-step explanation:
difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answers
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Answers
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
Learn more about Scale Factor here :
https://brainly.com/question/29929067
#SPJ3
Error Analysis
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).
Answers
The coefficient(s) of the expression is/are 7, 1
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are 8
(Use a comma to separate answers as needed.)
What error might Jake have made?
OD. Jake did not include the coefficient 1.
Click to select your answer's
A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?
Answers
Answer:
The cost of a gym membership would be 109
Step-by-step explanation:
2009-1995=14
thats how many years apart from each other
so its been 14 years $6 for each year so 14x6=84
so the regular price was $25 and went up 84 dollars last 14 years.
25+84=109 so the price of gym membership would be $109
express the scientific notation:4830000000 with all formula
Answers
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?
Answers
Answer:
correct because one in six game pieces win a prize.
Step-by-step explanation:
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answers
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answers
Answer:
B
Step-by-step explanation:
SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT
Answers
Answer:
7
40
the answer is 7 fortyths
working out
3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths
5 sixths +1 third + 1 half = 10 sixths
7 twentyforths divided by 10 sixths= 7 fortyths
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answers
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup
Solve for x.
(x + 13) ft
24 ft
Answers
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answers
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
solve the following system of equations y=2x+10. y=3x+12
Answers
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answers
Answer:
C. Obtuse
Step-by-step explanation:
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Answers
hahahahahahahahahahaha
srsly tho
is this still a problem you have? if so ill solve it.
If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?
Answers
Answer:
About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles
Step-by-step explanation:
Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.
Answer:
55 miles
Step-by-step explanation:
Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.
Find the slope of the lines that go through the following points.
Answers
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years
Answers
Answer:
the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.
can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more
Answers
Answer: B.
Step-by-step explanation:
The slope is 3 the y-intercept is (0,6)
hope this was helpfulllllllllllllllllllllllllllllllllll
.anybody actually knows the answer
Answers
Answer:
2.56
Step-by-step explanation:
14.7 - 1.9 = 12.8
12.8/5 (sides) =
n = 2.56
check:
2.56 * 5 = 12.8
12.8 + 1.9 = 14.7
Help will give crown
Answers
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%
Answers
Answer: 35%
Step-by-step explanation:
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
Answers
Answer:
c+35/100c
Step-by-step explanation:
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answers
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
10 flowers in 5 vases = ? flowers per vase
Answers
Answer:
there are 2 in each vase
Answer:
2 flowers per vase