Answer:
[tex]x=23/\sqrt{6}[/tex],
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Surface area is 529 square meters
Generally the dimensions of the cuboid
[tex]v=x^y[/tex]
[tex]D=4xy+2x^2 =529[/tex]
[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]
[tex]V' =529-6x^2/4[/tex]
[tex]v'=0[/tex]
Therefore
[tex]529=6x^2[/tex]
[tex]x=\sqrt{\frac{529}{6} }[/tex]
[tex]x=23/\sqrt{6}[/tex]
Mathematically
[tex]v''=\frac{12x}{4}[/tex]
[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]
[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Therefore
[tex]x=23/\sqrt{6}[/tex]
and
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x . Another side is 12 more than times two the length of the bottom of the triangle. The last side is 7 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answer:
P = 4x + 19Step-by-step explanation:
Given triangle with sides:
a = xb = 2x + 12c = x + 7Perimeter is:
P = a + b + c ⇒P = x + 2x + 12 + x + 7 = 4x + 19 ⇒P = 4x + 19THIS IS 90 POINTS:
what is 15m+35 graphed?
Answer:
Factor
5
out of
15
m
+
35
.
5
(
3
m
+
7
)
Step-by-step explanation:
If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.
Answer:
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Step-by-step explanation:
Fundamental identities:
These following trigonometric identities are used to solve this question:
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
With the cossecant, we can find the sine. So:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]
[tex]11\sin{\theta} = 4[/tex]
[tex]\sin{\theta} = \frac{4}{11}[/tex]
With the sine, we find the cosine.
Since the tangent is negative, the cosine is negative. So
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]
[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]
[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]
[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Cotangent:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
In how many ways can Anna arrange 2 math books, 3 physics books, and 5 chemistry books on her shelf if all books of the same subject must be adjacent? (The books are distinguishable.)
Answer:
8640 waysStep-by-step explanation:
Arranging the books of each subject:
Math:
Combination of 2 books → 2! = 2Physics:
Combination of 3 books → 3! = 6Chemistry:
Combination of 5 books → 5! = 120We also need to consider the subjects.
There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways
So the total number of combinations is:
2*6*120*6 = 8640Answer:
2 maths books can be arranged as (2!=2) ways 3 physics books can be arranged as (3!=6) ways5 chemistry books can be arranged as (5!=120) waysBooks can be arranged in suject-wise in (3!=6) waysHence, total ways are (2×6×120×6) ways =8640 ways.
8640 is the right answer.Make a 2/3 a fraction with a denominator of 36
Please show work
Answer:
24/36
Step-by-step explanation:
Do 36 divided by 3 which is 12 then multiply 12 by 2!
I hope this helps and have a great day! :)
Answer:
The correct answer is 24/36
Step-by-step explanation:
24/36 is correct because you divide 36 by the denominator of 3 to equal 12 so then multiply 12 by 2 to equal 24 so the correct answer is 24/36.
HAVE A GOOD DAY!
Multiply. Express your answer in simplest form.
Answer:
Bet
Step-by-step explanation:
It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
HELP with this problem please
Answer: 2
Step-by-step explanation:that is the one that is used the most?
Geometry question plz help
Answer:
I think A
Step-by-step explanation:
Write 89 tenths in standard form *
89 tenths......................
Answer:
.89
Step-by-step explanation:
Standard for is just the number version. Word for is it spelled out, eighty-nine tenths.
(Giving brainliest to correct answer)
Congruence
Answer:СССР в зеркале
Кто первый спустит курок
Убеждаешь - ложно заявляя свободу личности.
Бушующие войны и П-С-О,
Космос, О-С-В
Брежнев Рейган
Страх оружия С-Я-С
До взаимного уничтожения
Силой и мощью
Союза Советских Республик
Патриоты работают силой порядка
Светлое строят будущее
Наука, Творчество, Семья, Союз,
Образование, Коммуналка, Труд,
Дисциплина, Планировка, Доброта.
Родина – поём тебе,
В верности клянёмся,
Пролетарии всех стран Соединяйтесь
Серп и Молот!
Step-by-step explanation:
PLEASE HELP zoom in to remove blur
Answer:
The answer is (x + 12) and (x - 12)
find the slope thanks PLEASE
Answer:
37) -1/3
38) 8/5
39) 0
40) -2/3
Step-by-step explanation:
STOP RIGHT THERE. Please help me.
Answer:
the answer is B
Step-by-step explanation:
Well we can get rid of A and D because we're not adding money, we're subtracting (thats what a sale is)
So we're left with B and C.
To find what 17% of 3 is, we multiply 3 x 0.17, which totals to 0.51. It can't be C because you find 51% of 3 which is not what we're looking for, so it is B.
does anyone have a good website to solve for pythagorean theorem???
Answer:
you can't solve for the pythagorean theorem
Step-by-step explanation:
tyhe theorem is a theorem not a math problem
but you can just do sqrt(a^2+b^2) to get c
use desmo, wolfrm, gegebra, symblab, mahway etc
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!
Answer:
answer attached
Step-by-step explanation:
2x - 2 = 3x - x - 2 solve for x
Answer:
i think x=0
Step-by-step explanation:
2x-2=2x-2
2x=2x
x=0
Answer:
NAN
Step-by-step explanation:
x + 2 = 3x - x^2 Simplifying x + 2 = 3x + -1x2 Reorder the terms: 2 + x = 3x + -1x2 Solving 2 + x = 3x + -1x2 Solving for variable 'x'. Combine like terms: x + -3x = -2x 2 + -2x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 2 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 2 + -2x + x2 = 0 + -1x2 + x2 2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
Substitute x=5 into the expression 4x-8 and simplify
Answer:
4(5) - 8
20 - 8
= 12
If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3
Answer:
[tex]m_2 = -\frac{3}{4}[/tex] -- (a)
[tex]m_2 = -\frac{7}{3}[/tex] -- (b)
[tex]m_2 = -\frac{1}{4}[/tex] --- (c)
[tex]m_2 = -3[/tex] -- (d)
Step-by-step explanation:
Given
[tex]a.\ m = \frac{4}{3}[/tex]
[tex]b.\ m = \frac{3}{7}[/tex]
[tex]c.\ m = 4[/tex]
[tex]d.\ m = \frac{1}{3}[/tex]
Required
Determine the slope of a perpendicular line
In geometry, the condition for perpendicularity is:
[tex]m_2 = -\frac{1}{m}[/tex]
This formula will be applied in solving these questions.
[tex]a.\ m = \frac{4}{3}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4/3 for m
[tex]m_2 = -\frac{1}{4/3}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{4}{3}[/tex]
Convert to *
[tex]m_2 = -1* \frac{3}{4}[/tex]
[tex]m_2 = -\frac{3}{4}[/tex]
[tex]b.\ m = \frac{3}{7}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 3/7 for m
[tex]m_2 = -\frac{1}{3/7}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{3}{7}[/tex]
Convert to *
[tex]m_2 = -1* \frac{7}{3}[/tex]
[tex]m_2 = -\frac{7}{3}[/tex]
[tex]c.\ m = 4[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
[tex]d.\ m = \frac{1}{3}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 1/3 for m
[tex]m_2 = -\frac{1}{1/3}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{1}{3}[/tex]
Convert to *
[tex]m_2 = -1* \frac{3}{1}[/tex]
[tex]m_2 = -\frac{3}{1}[/tex]
[tex]m_2 = -3[/tex]
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%. How many robberies were there this year, to the nearest whole number?
Answer:
262
Step-by-step explanation:
From the Question, we know that:
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%.
Step 1
Find the amount decreased
35% × 403
= 35/100 × 403
= 141.05
Step 2
The amount of robberies this year is:
= 403 - 141.05
= 261.95
Approximately to the nearest whole number = 262
Is the following table proportional or non-proportional?
Answer:
proportional
Step-by-step explanation:
y= -7x
Write the slope intercept form of the equation of the line that passes through the points (6,1) and (12,2)
Answer:
y=1/6x
Step-by-step explanation:
hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
Help me out hereeeeeeeeeeeeeee
Answer:
it is the first one because you times the 9 because it says twice and divide it by 3 because you donate to 3 parks
Step-by-step explanation:
What is the common factor of 26 and 38
Answer: The GCF is 2 and the LCF is 1
Step-by-step explanation:
which function has a y-intercept of 3
Answer:
2 and 3
1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count
Step-by-step explanation:
Substitute X for 0 and solve from there.
3(0) - 2y = -6
0 - 2y = -6
y = 3
y - 3 = -2(0)
y - 3 = 0
y = 3
If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?
Answer:
18.00$
Step-by-step explanation:
Answer:
$18.00
Step-by-step explanation:
Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00. You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings. Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.
Is this a function? Explain with full sentence
[(2,3) (2,4) (2,5) (2,3)]
Answer:
no their is not supposed to be any repeating x's
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Which of the following expressions will help him determine the length of segment BE? BE = AD BE = CD BE equals CD times AD over AE BE equals CD times AB over AC
Answer:
BE equals CD times AB over AC
Step-by-step explanation:
took the test
Answer:
BE = CD times AB/AC
Step-by-step explanation:
I took the test. And also, we know that BE + CD. so, the only one that we can eliminate from that is BE =AD. That's about all the explanation I can give you, sorry, but that is the right answer.
find the scalar product of two verton
Å - Git 3} and B-57-2} what is the
magnitude of vector product
For a submarine cable, the range of signalling is governed by the function
f(r) = r^2 ln(1/r)
where 0
Find df/dr.
Answer:
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Step-by-step explanation:
Explanation
Given function f(r) = r² log r ....(i)
Apply derivatives formula
[tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]
[tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
[tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]
Differentiating equation (i) with respective to 'r' , we get
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]
Final answer:-
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]