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Question
The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and
the width
Given : The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.
Solution :
Let us assume the breadth be B
The length is three times the breadth So, the length be 3B
Perimeter of the rectangle = 64 cm
Perimeter = 2(Length + Breadth)
64 cm = 2(3B + B)
64 cm = 2(4B)
64 cm = 8B
B = 8 cm
Length = 3B = 3(8) = 24 cm Breadth = B = 8 cmPlease and thank you and show work this question is a big chunk of my final grade
Answer:
9
Step-by-step explanation:
The trinomial square have the following form:
(a - b)²
Expanding this, the result is:
a² -2ab +b²
So, let's put x in place of a and solve it:
x² -2•x•b + b²
Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:
-2x•b = -6x divide both sides by -2x:
b = -3
So -3 complete our trinomial square, and it is:
(x -3)²
Expanding:
x² -6x +9
What is the quotient of 1/2 divided by 1/4 what is the quotient
Answer:
The quotient is 2
I don't think this needs solution
Answer:
the quotient is 2
Step-by-step explanation:
1/2÷1/4
1/2×4/1
=2
The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help
Answer:
11/3
Step-by-step explanation:
-12/3 = -4
-4 + x = -1/3
X = -1/3 + 4
X = (-1+12)/3 = 11/3
11/3 + -12/3 = -1/3
300 cubic inches to cubic centimeters?
Answer:
I guess it would help you ✌
Answer:762 cm
Step-by-step explanation:
There is 2.54cm in an inch so multiply it by 300
make r the subject in the relation; rv= h
Answer:
step by step
take v to divide
r=h/v
Find all the cube roots of
[tex]z = 2e {}^{i\pi} [/tex]
9514 1404 393
Answer:
{∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}
Step-by-step explanation:
[tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]
__
Additional comment
z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.
What percent of 80 is 36? Round to the
ponearest tenth of a percent, if necessary.
B. 44.4%
A. 40%
C. 45%
D. 48%
Answer:
C. 45%
Step-by-step explanation:
Divide 36 by 80 to get 0.45 (45%)
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted right 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted up 5 units. D. The graph of h is the graph of g vertically shifted down 5 units.
Answer:
D. The graph of h is the graph of g vertically shifted down 5 units.
Step-by-step explanation:
I assume
g(x) = x²
h(x) = g(x) - 5 = x² - 5
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies.
Answer:
S.P = 225
Explanation:
Cost Price = 20 copies for Rs. 25
Selling price = 20 copies for ?
Profit = Rs. 200
Profit = S.P -C.P
Profit + C.P = S.P
200 + 25 = S.P
225 = S.P
HELP PLEASE DUE TOMORROW
Answer:
Step-by-step explanation:
first one: 1/4
second one: 1/4
last one: 1/4
8 divided by 2=4 and 4 becmes the denominator
the answer is basicallly 1/4
What grade is this btw
Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]
I hope I helped you^_^
Find the area of the triangle.
A. 15.3 cm²
B. 12.9 cm²
C. 16.8 cm²
D. 25.7 cm²
Option B. 12.9 cm²
Solution
h =Sin(40)*8
S = h*5/2 = 12.85>>12.9 cm2
How do you find the area of the triangle?The area of a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of the triangle.
The area of a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.
Learn more about triangle at
https://brainly.com/question/17335144
#SPJ2
Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30I need help with this question.
9514 1404 393
Answer:
$1006
Step-by-step explanation:
Julie will owe the difference between the total cost and the amount she has paid:
($1390 +90 +95) -569 = $1006 . . . . amount Julie owes
describe the rule for 1;3;6;10;15
Answer:
add 2, add 3, add 4, add 5
Step-by-step explanation:
1+*2=3,3+*3=6,6+*4=10,10+*5=15
(a) If ε = {s, p, I, e, n, d, o, u, r},
X= {s, p, e, n, d)
Y= s, e, n, 0, 1}
Z = {p, n, o, u, r}
Find X n (Y'UZ).
(b) Given that for sets A and B in a universal set E, ACB, find An(An B)'.
Answer:
TEXT your teacher
Step-by-step explanation:
Half of a number increased by seventeen is 8
The product of 2 and a number x is 3/4
What is the value of x?
A. x=5/4
B. x=3/8
C. x= 1 1/4
D. x=3/2
Answer:
[tex]2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} [/tex]
divide either sides by 2 :
[tex]x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}[/tex]
What is the sum of -14
and -15?
Answer:
-29
Step-by-step explanation:
(-14) + (-15) =
-14 - 15 =
-29
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.
The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.
An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.
One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.
Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.
Learn more about interval scale here:
https://brainly.com/question/24260284
D=2/3(F+G). Solve for G
Answer:
[tex]D = \frac{2}{3} (F+ G) \\ F + G = D \div \frac{2}{3} \\ \\ F+ G = D \times \frac{3}{2} \\ \\ F +G = \frac{3D}{2} \\ \\ G = \frac{3D}{2} - F[/tex]
I hope I helped you^_^
What is 3 ¹/₂ 4 ²/₃
______ + ______ = ?
5 2
Answer:
49 < 52
Step-by-step explanation:
3½ + 4⅔ = 52
convert the mixed fraction to improper fraction
7/2 + 14/3 = 52 LCM=6
multiply yhrough by the LCM
(7/2)*6 +(14/3)*6 = 52
21 + 28 = 52
49 < 52
9514 1404 393
Answer:
3 1/30
Step-by-step explanation:
Maybe you want to find ...
[tex]\dfrac{3\frac{1}{2}}{5}+\dfrac{4\frac{2}{3}}{2}=\dfrac{7}{2\cdot5}+\dfrac{14}{3\cdot2}\\\\=\dfrac{7\cdot3}{2\cdot3\cdot5}+\dfrac{14\cdot5}{2\cdot3\cdot5}=\dfrac{21+70}{30}=\dfrac{91}{30}=\boxed{3\frac{1}{30}}[/tex]
Given the explicit formula for an arithmetic sequence find the term
named in the problem. *
an = 21 + (n − 1) • 45
Find a38
Answer:
Step-by-step explanation:
n = 38
a38 = 21 + (38 - 1)*45
a38 = 21 + 37*45
a38 = 21 + 1665
a38 = 1686
A golfers score after playing on friday was +2
The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.
a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?
Answer:
Step-by-step explanation:
Find the difference.
0-(-6) =
Answer:
6
Step-by-step explanation:
If you mean 0-(-6) that's mean 0+6 and the answer will be 6
and if you mean 6-(-0) it's also 6
Which of these expressions is in the simplified form?
Answer:
C!
Step-by-step explanation:
A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)
B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)
D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2
Therefore, C is the correct answer because it cannot be simplified any further!
Hope this makes sense!!!!
Please give brainliest answer! I wasited for you to delete the answer!
log 3x^3-log x^2= log 27 - log x
Answer:
First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.
The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.
You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0
You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6
−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.
Step-by-step explanation:
I THINK IT HELP U
Solve 1/3 (3x + 6) + 2x = 26
Answer: x = 8
Step-by-step explanation:
Given
(1/3) (3x + 6) + 2x = 26
Expand parentheses and apply the distributive property
(1/3) · 3x + (1/3) · 6 + 2x = 26
x + 2 + 2x = 26
Combine like terms
(x + 2x) + 2 = 26
3x + 2 = 26
Subtract 2 on both sides
3x + 2 - 2 = 26 - 2
3x = 24
Divide 3 on both sides
3x / 3 = 24 / 3
[tex]\boxed{x=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions