Answers
Answer:
5.
Step-by-step explanation:
If you were to rotate the triangle, you can apply Pythagoras Theorem.
Therefore,
a^2 = 12^2 - 13^2 (Note: a^2 = a squared)
a^2 = 144 - 169
a^2 = -25.
a = 5.
Not sure why its negative though im pretty sure its the right answer.
in BCD triangle :
DC^2 = BC^2 + BD^2
13^2 = 12^2 + BD^2
169 = 144 + BD^2
BD^2 = 169 - 144
BD^2 = 25
BD = 5
_______________________
In the other hand we have :
BD^2 = AB × BC
5^2 = AB × 12
AB = 25/12
________________________
Also we have :
AD^2 = AB × AC
AD^2 = 25/12 × ( 25/12 + 12 )
AD^2 = 25/12 × ( 25/12 + 144/12 )
AD^2 = 25/12 × 169/12
AD^2 = 25 × 169 / 12 × 12
AD^2 = 5 × 5 × 13 × 13 / 12 × 12
AD = 5 × 13 / 12
AD = 65 / 12
AD = 5.42
Thus the correct answer is option C
Related Questions
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the
band's next 14 shows would you expect to have an encore?
shows
Answers
The number of times that the band played an encore at 7 out of the next 14 shows.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.
We may use the following percentage to determine how many of the following 14 performances will likely have an encore:
1/2 = x/14
14 = 2x
x = 7
Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Evaluate the following integral on the region R in xy-plane
Answers
An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x ==> x - y = 0 and y = x - 1 ==> x - y = 1), and 0 < v < 1.
Solve for x and y in terms of u and v :
u - v = (x - y) - (x + 2y) = -3y ==> y = (v - u)/3
2u + v = 2 (x - y) + (x + 2y) = 3x ==> x = (2u + v)/3
Compute the Jacobian and its determinant:
[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]
Now in the integral, we have
[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]
why museums are regarded as information resources?
Answers
Step-by-step explanation:
everything can be found in the picture
Answer:
Hello There!!
Step-by-step explanation:
Museums are regarded as information resources because there are historical things and artifacts there.
hope this helps,have a great day!!
~Pinky~
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
orange.
By what percentage is the grapefruit heavier than the apple?
pls answer
Answers
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
The grapefruit is 20% heavier than the orange:)
Step-by-step explanation:
Let the weight of orange be x.
This means that the weight of grapefruit is:
1.08x
( Since grapefruit is: 8% heavier than orange )
Also, the weight of apple is 10% lighter than apple.
This means that the weight of apple is: 0.90 x
For brainlest:)))) answer
Answers
Answer:
0Step-by-step explanation:
There are not rotational symmetry.
What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!
Answers
Answer:
6/6=1
Step-by-step explanation:
There are six sides on a die and you have six total outcomes. Hope this helps! :)
i need help
can someone help me
ty
Answers
a.
Answer:
1170cm^3
Step-by-step explanation:
Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.
(5 x 9 x 15) + (11 x 3 x 15)
675 + 495
1170cm^3
b.
Answer:
846cm^2
Step-by-step explanation:
Add each side's area together.
(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)
135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33
846 cm^2
Answer:
(a)1170 cm^3
(b)846 cm^2
Step-by-step explanation:
(a) Rectangle #1= 11 x 3 = 33 cm^2
Rectangle #2 = 5 x 9 = 45 cm^2
Volume = 45 + 33 = 78 x 15 = 1170 cm^3
(b) First find the surface are of all 8 faces in the prism and then add them all.
1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2
2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2
3rd face = 15 x 3 = 45 cm^2
4th face = 15 x 6 = 90 cm^2
5th face = 15 x 9 = 135 cm^2
6th face = 15 x 5 = 75 cm^2
7th face = 15 x 12 = 180 cm^2
8th face = 15 x 11 = 165 cm^2
1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2
Hope this helps!
can someone give me the anwser please?
Answers
Answer:
5/6 + 11/6 = 16/ 6
Step-by-step explanation:
Distance between any Teo labeled tick marks =
(1 - 2/3) / 2 = 1/3 ÷ 2 = 1/3 * 1/2 = 1/6
From the left :
2/3 + 1/6 = 5/6
5/3 + 1/6 = 11/6
5/6 + 11/6 = (5 + 11) / 6 = 16/6
5/6 + 11/6 = 16/ 6
Clara, Dean and Elaine were candidate in an election in which 1000 people voted.elaine won the election receiving 95 more votes than Dean,and 186 more than Clara. how many votes did dean receive?
Answers
Answer:
E = 427 votes
Step-by-step explanation:
Let Elaine's vote be ELet Dean's vote be DLet Clara's vote be C.Translating the word problem into an algebraic expression, we have;
E = D + 95
E = C + 186
Equating the two equations, we have;
D + 95 = C + 186
D = C + 186 - 95
D = C + 91
Also, the sum of all the votes is equal to 1000.
E + D + C = 1000
Substituting the value of "D" we have;
E + (C + 91) + C = 1000
E + C + 91 + C = 1000
E + 2C + 91 = 1000
E + 2C = 1000 - 91
E + 2C = 909
But, E = C + 186
Substituting the value of "E" we have;
(C + 186) + 2C = 909
C + 186 + 2C = 909
3C + 186 = 909
3C = 909 - 186
3C = 723
C = 723/3
C = 241 votes
Next, we would find Elaine's vote;
E = C + 186
E = 241 + 186
E = 427 votes
Lastly, we would find Dean's vote;
E = D + 95
427 = D + 95
D = 427 - 95
D = 332 votes
Check:
E + D + C = 1000
427 + 332 + 241 = 1000
1000 = 1000
A machine fills boxes at a constant rate.At the end of 35 minutes it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
Answers
Answer:
7
Step-by-step explanation:
5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]
PLEASE HELP!! will give brainliest!!
Suppose cos(x) = 1/sqrt5 and sin(x) > 0. What is the value of tan(2x)?
Answers
-4/3
For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?
The value of tan(2x) is equal to -4/3
Please help with this question ive been asking for half an hourrrr
answer asap pls
Ill mark brainlist
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answers
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Hai vòi nước cùng chảy vào một bể. Vòi thứ nhất chảy trong 8 giờ thì đầy bể, vòi thứ hai chảy trong vòng 10 giờ thì đầy bể. Hỏi:
a, cả hai vòi cùng chảy thì sau bao lâu sẽ đầy bể
b, Nếu có một một vòi thứ ba Thảo nước ra trong 16 giờ thì sẽ cạn hết bể đầy nước thì khi mở cả 3 vòi cùng một lúc sau bao nhiêu lâu sẽ đầy bể(lúc đầu bể đầy nước)
Answers
Answer:
Please say in English
Step-by-step explanation:
I don't understand, Sorry
What is the correct written expression for the variable expression: (3 - x)/7
3 divided by the difference of 7 and x
or
the difference of 3 divided by 7 and x
Answers
Answer:
3 divided by 7 and x=-1.5*x
Step-by-step explanation:
Is -40/8 positive or negative?
Answers
Answer:
Negative. The answer gives - 5
Answer:
Negative
Step-by-step explanation:
-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.
Please anybody? Line intergal
Answers
Parameterize the path by
r (x) = (x, x + 2)
with 0 ≤ x ≤ 2. Then
r' (x) = (1, 1) ==> ||r' (x)|| = √(1² + 1²) = √2
and the line integral is
[tex]\displaystyle\int_Lxy\,\mathrm ds=\sqrt2\int_0^2x(x+2)\,\mathrm dx=\boxed{\frac{20\sqrt2}3}[/tex]
What is the other number to this math equation?
Answers
Answer:
You need to ask yourself what times 20 gives you 600. Then ask yourself what times 20 gives you 160. Then that will give you your answer.
Step-by-step explanation:
What is the volume of the solid figure?
help pls
Answers
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Answers
Answer:
this probability is 0.68
Step-by-step explanation:
the probability she buys fruit but not a CD is
0.6 × (1 - 0.2) = 0.48
the probability she buys a CD by not fruit is
0.2 × (1 - 0.6) = 0.08
the probability that she buys both is
0.6 × 0.2 = 0.12
the probability that she buys fruit or a CD or both is adding all 3 probabilities :
0.48 + 0.08 + 0.12 = 0.68
A binary operation is defined on the set of real numbers ℝ by
x ∆ y = x²− 2xy + y
²
; x, y ∈ ℝ.
i. Find m such that 2 ∆ − 5 = √m
ii. Simplify ((n+1) ∆ y)/n
; n ≠ 0
Answers
Answer:
I. m = 2401
II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Step-by-step explanation:
I. Determination of m
x ∆ y = x² − 2xy + y²
2 ∆ − 5 = √m
2² − 2(2 × –5) + (–5)² = √m
4 – 2(–10) + 25 = √m
4 + 20 + 25 = √m
49 = √m
Take the square of both side
49² = m
2401 = m
m = 2401
II. Simplify ((n+1) ∆ y)/n
We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:
x ∆ y = x² − 2xy + y²
(n+1) ∆ y = (n+1)² – 2(n+1)y + y²
(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²
(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1
(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1
(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1
(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1
(n+1) ∆ y = (n – y + 2)(n – y) + 1
((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n
((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
An College student complained that the cost of textbooks was too high. She randomly surveyed 36 other students and found that the mean amount of money spent for textbooks was $121.60. If the standard deviation of the population was $6.36, find the best point estimate. Show your work.
Answers
Answer:
The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.
Step-by-step explanation:
Best point estimate:
The best point estimate of a population mean is the sample mean.
In this question:
The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.
10 mugs and 2 plates cost £54
8 mugs and 2 plates cost £46
Write down and solve simultaneous equations
(M is the cost of a mug and p is the cost of a plate, in £
Answers
Answer:
mug = 4
plate = 7
Step-by-step explanation:
10 x + 2y =54
8x + 2y = 46
2x = 8
x = 4
2y = 14
y = 7
A money box contains only 10-cent
and 20-cent coins. There are 33
coins with a total value of $4.60.
How many coins of each?
Answers
Answer:
Below in bold.
Step-by-step explanation:
x + y = 33 where x = 10 cent coin and y = 20 cent coin
10x + 20y = 460
Multiply first equation by 10:
10x + 10y = 330
Subtract this from the second equation:
10y = 130
y = 13
So there are 13 20c coins
and 33 - 13 = 20 10c coins.
This is a real logic problem you just need to trial and error
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answers
Answer:
Step-by-step explanation:
Wage = rate / hr * the number of hours worked.
Wage = ?
rate = 15.45
time = 29.25 hours
Wage = 15.45 * 29.25
Wage = 451.91
Someone please help, thank you
Answers
Step-by-step explanation:
everything can be found in the picture
Answers:
(a) [tex]n = 2(r+m)[/tex]
(b) [tex]n = \frac{h^2}{9}[/tex]
===========================================
Work Shown:
Part (a)
[tex]\frac{n}{2} - m = r\\\\\frac{n}{2} = r+m\\\\n = 2(r+m)[/tex]
In the second step, I added m to both sides. Afterward, I multiplied both sides by 2 to fully isolate n.
------------------------
Part (b)
[tex]3\sqrt{n} = h\\\\\sqrt{n} = \frac{h}{3}\\\\n = \left(\frac{h}{3}\right)^2\\\\n = \frac{h^2}{3^2}\\\\n = \frac{h^2}{9}\\\\[/tex]
First I divided both sides by 3. After that, I squared both sides. The (h/3) squares to (h^2)/9.
I NEED HELP! You throw a ball from an initial height of 6 feet and with an initial velocity of 46 feet per second. Write an equation that gives the height of the ball (in feet) as a function of the time (in seconds) since it left your hand, then find the time it takes for the ball to hit the ground.
Answers
Answer:
t = 0.77930
t = 1.2832
Step-by-step explanation:
giving brainliest to whomever answers correctly!
Answers
Answer:
B: A systematic random sample
Step-by-step explanation:
Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
To find the percentage, what I did was that I divided 55 and 163 and the answer I got was 33%. However, my answer was incorrect. Because my answer was incorrect, how do I go about this problem?
Answers
Answer:
200
Step-by-step explanation:
You were right to divide 55 by 163. The problem, however, asks for the answer to be rounded to the nearest tenth.
Therefore, 55 / 163 = 0.3374 = 33.7%
Hope this helps!
Evaluate the integral.
∫ 17/ (x^3 − 27) dx
Answers
Answer:
??????????????????????????
I NEED HELP PLEASE!!!
Answers
Answer:
Step-by-step explanation:
1.
[tex]-\frac{5 \pi }{6} +2\pi =\frac{-5\pi +12 \pi }{6} =\frac{7\pi }{6}[/tex]
2.
405-360=45°