Answer:
12
Step-by-step explanation:
Well, I am pretty sure you are looking for the length.
Since area = length x width, I would say that you could divide as well.
120 = 10 x 12
I am pretty sure the length is 12.
:)
Solve the given system of differential equations by systematic elimination. Dx dt = 2x − y dy dt = x
The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.
1. dx/dt = 2x - y
2. dy/dt = x
Substituting y = -dx/dt into the second equation,
dy/dt = x - t
-d²x/dt² = x - t
Now, assume a particular solution of the form x = At + B,
where A and B are constants.
Substituting this into the differential equation,
-A = At + B - t.
Equating the coefficients of t on both sides,
A = -1 and B = 0.
Thus, the particular solution is x = -t.
Now, integrating dx/dt = -yt,
x = -yt + C₁
Finally, substituting x into the particular solution x = -t,
-t = -yt + C₁.
Solving for y, obtain y = t²/2 + C₁t + C₂.
Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.
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What is the area of this polygon?
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
Find the surface area of the prism. Write your answer as a decimal.
Answer:
49.2 square yards
Step-by-step explanation:
The surface area of a rectangular prism can be found using the formula.
A = 2(LW +H(L +W)) . . . . where L, W, H are length, width, height
A = 2(3×5 +1.2(3 +5)) = 2(15 +9.6) = 49.2 . . . . square yards
PLEASE HELP!! URGENT!
Step-by-step explanation:
258
because there are 360 degrees in a circle. 360 - 102 = 258
Select all the statements that describe the distribution of the data
to the Kansas River Crossing.
Last year the depth of the river was 4.2 feet deep.
This year it dropped 17%.
Find the depth of the river this year to cross it.
Answer:
3.486 feet (1.06 m) or 3 feet (0.91 m) five inches
Step-by-step explanation:
17 percent of 4.2 is 0.714 and 4.2–0.714 is 3.486
Step-by-step explanation:
how to find the hcf and the lcm of numbers using prime factorization.
lcm
30 and 12.
hcm
12 and 20
Answer:
Below in bold.
Step-by-step explanation:
30 = 2 * 3 * 5
12 = 2 * 2 * 3
Note that 2 and 3 are common to both factors
so the HCF = 2*3 = 6.
Only one 2 and one 3 of the duplicates are included in the LCM:
so the LCM = 2 * 3 * 2 * 5 = 60
20 = 2 * 2 * 5
12 = 2 * 2 * 3
HCF = 2 *2 = 4
LCM = 2*2*3*5 = 60.
Label the probabilities in the tree diagram below and determine what is the probability of wearing a red shirt and black jeans?
The probability of wearing a red shirt and a black jean is the likelihood of the shirt and jean
The probability of wearing a red shirt and a black jean is is 1/6
How to determine the probability?From the tree diagrams, we have the following parameters
Total combination = 6
Red shirt and Black Jean = 1
The probability of wearing a red shirt and a black jean is calculated as:
P = n(Red shirt and Black Jean)/Total combination
This gives
P = 1/6
Hence, the probability of wearing a red shirt and a black jean is is 1/6
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The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?
Answer:
circle a: 3.14x36= 113.04
circle b: 3.14 x 64 = 200.96
circle c: 3.14 x 121= 379.94
circle d : 3.14 x 81 = 254.34
Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.
and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04
please answer 100 points
Divide. 6 from 3/5
10
30
20
15
Answer:
Step-by-step explanation:
What is 6 divided by 3/56 ÷ 3 5. The trick to working out 6 divided by 3/5 is similar to the method we use to work out dividing a fraction by a whole number. ... 6 x 5 3 = 30 3. So, the answer to the question "what is 6 divided by 3/5?" ... 30 3. ... 10 1. ... 10 1 = 10.
Answer:
The numbers in 6 divided by 3/5 are labeled below:
6 = whole number
3 = numerator
5 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 5
3
=
30
3
Thus, the answer to 6 divided by 3/5 in fraction form is:
30
3
To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
30 / 3 = 10
The answer is rounded to the nearest two decimal points if necessary.
30/3 can be simplified to 10/1.
10/1 is an improper fraction and should be written as 10.Step-by-step explanation:
Could someone help, I need help with math, this is the question. The ratio of ducks to geese is 5:3. There are 50 ducks. How many geese are there?
Which number sentence matches the question below?
Mindy has a total of 239 books.
If Mindy gives 92 books to her local library, how many books will she have left?
A.
- 239 = 92
B.
239 + 92 =
C.
239 - 92 =
Answer:
Your answer is C.
239-92
Step-by-step explanation:
If shes giving AWAY then it would be a subtraction problem.
Change the following decimals to fractions give your answers in their simplest form a) 0.3 b) 0.46 c) 0.075
Answer:
[tex]0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}[/tex]
Step-by-step explanation:
To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)
For 0.3, 3 is in the tenths place, so we end up with the fraction [tex]\frac{3}{10}[/tex]
For 0.46, 6 is in the hundreths place, so before simplifying we have [tex]\frac{46}{100}[/tex]
The GCF of 46 and 100 is 2 so we divide the fraction by [tex]\frac{2}{2}[/tex] to get [tex]\frac{46}{100}[/tex] ÷[tex]\frac{2}{2}[/tex] = [tex]\frac{23}{50}[/tex]
For 0.075, the 5 is in the thousandths place, so before simplifying we have [tex]\frac{75}{1000}[/tex]
The GCF of 75 and 1000 is 25 so we decide the fraction by [tex]\frac{25}{25}[/tex] to get [tex]\frac{75}{1000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{3}{40}[/tex]
An expression is given
3(3 squared2 -4)
Answer:
0.728 to nearest thousandth.
Step-by-step explanation:
3(3 squared2 -4)
= 9√2 - 12
= 0.728 to nearest thousandth.
Hi Mehta06 heres my question that i told you
Answer:
1. WEA and and TSE
2.WES
3.50
Step-by-step explanation:
the inscribed angles are AWE, AWS, EST
As W is the center, ES is the Diameter
arc AE = 180-AWS
= 180-100
=80 degrees
MARK ME AS BRAINLISTA news report says that 28%
28
%
of high school students pack their lunch.
Your high school has 600
600
students.
How many students in your high school would you expect to pack their lunch?
please help i will give brainly?
if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]
Answer:
2,121.8
Step-by-step explanation:
2000(1.03)^2
please rate and mark as brainlest.
os
10. What is the slope of the line that passes through the pair of points? (1 point)
(-2, 1), (2, 17)
4
O 17
0-15
04
04
Answer:
[tex]\boxed{\sf{4}}}[/tex]
Step-by-step explanation:
Use a slope form.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
y₂ = (17)
y₁ = (1)
x₂ = (2)
x₁ = (-2)
Then, rewrite the problem.
Solve.
[tex]\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }[/tex]
Therefore, the slope is 4, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
Roman purchased 2 1/2 pounds of chocolate covered peanuts for $9.75 what was the price per pound?
Answer:
$3.90
Step-by-step explanation:
2 1/2 pounds = 2.5 pounds
To determine the price per pound, divide $9.75 by 2.5:
[tex]\sf \dfrac{9.75}{2.5}=3.9[/tex]
Therefore, the price per pound was $3.90
A bakery sells chocolate cupcakes and vanilla cupcakes. It sold 143 chocolate cupcakes in a day. 35% of the cupcakes sold that day were vanilla. How many total cupcakes did the bakery sell that day?
Answer:220
Step-by-step explanation:
A student filled a right rectangular prism shaped box with one inch cubes to find the volume in cubic inches the students work is shown explain why the students reasoning is incorrect provide the correct volume in cubic inches and why the students reasoning is incorrect in your answer
The volume of the right rectangular prism is the amount of cubes in it
The formula to determine the volume of the right rectangular prism is V(n) = n
How to determine the volume?The question is incomplete; as the figure is not given.
So, I will provide a general solution
The volume of a one inch cube is:
[tex]V = 1^3[/tex]
[tex]V = 1[/tex]
Assume the number of one inch cubes used to fill the right rectangular prism is n.
Then the volume of the right rectangular prism would be:
[tex]V(n) = n * 1[/tex]
This gives
[tex]V(n) = n[/tex]
Hence, the general formula to determine the volume of the right rectangular prism is V(n) = n
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Help help help help help help help help I just need the answer for 13, 15, 16
Answer:
13) Squares, Rectangles. 14) Rhombus, Square.
15) Parallelogram, rectangle, rhombus, square
Step-by-step explanation:
solve pls brainliest
Answer:
[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]
The first one: 3
The second one: [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
To find the common numerator, you can multiply by 3 on both the numerator and denominator.
Is the figure defined by points H, I, J, and K a rhombus?
Yes, HIJK is a rhombus. Based on the coordinates, opposite sides are parallel, and all sides are congruent.
No, HIJK is NOT a rhombus. Based on the coordinates, opposite sides are parallel, but all sides are not congruent.
No, HIJK is NOT a rhombus. Based on the coordinates, all sides are congruent, but opposite sides are not parallel.
Yes, HIJK is a rhombus. Based on the coordinates, opposite sides are not parallel, and all sides are not congruent.
Answer:
b
Step-by-step explanation:
The cheetah is the fastest land animal in the world. During a sprint, the number of feet a cheetah runs y varies directly with the amount of time in seconds x as shown in the table. Write and solve a direct variation equation to determine how far the cheetah can run in 5.5 seconds.
Step-by-step explanation:
[tex] \hookrightarrow \sf y = kx [/tex]
[tex] \sf where \: k \: is \: constant[/tex]
[tex] \sf \: k = \frac{y}{x} [/tex]
[tex] \hookrightarrow \sf \: k = \frac{y}{5.5} [/tex]
Equation = [tex] \sf \: k = \frac{y}{5.5} [/tex]
Solve: 2|x 7|−4 ≥ 0 express the answer in set-builder notation.
The correct answer for the given inequality is {x | x ≤ -9 or x ≥ -5}.
What is inequality?Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.
To solve an absolute inequality, first step is to isolate absolute value expression.
Hence remove -4 from the left side. So, add 4 to each sides of the inequality.
2|x + 7|−4 ≥ 0
2|x + 7|−4 +4≥ 0 +4
2|x + 7| ≥ 4 Combine the like terms.
Divide each sides by 2.
[tex]\dfrac{2|x + 7| }{2} \geq \dfrac{4}{2}[/tex]
|x + 7| ≥2
Next step is to remove the absolute value sign. So,
x + 7≥2 and x+7≤-2.
x≥2-7 and x≤-2-7
x≥-5 and x≤-9
So, the correct choice is {x | x ≤ -9 or x ≥ -5}.
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Answer:
1st one is: C
2nd one is: A
Step-by-step explanation:
if 45% of an item is 72.00 what is the original price. someone help me
Answer:
45% x 72.00 = 32.4
Step-by-step explanation:
hope this helped :)
Answer:
If 45% of an item is 72.00 what is the original price is, $160.00
Step-by-step explanation:
HELP ME PLEASE
Solve for x: -6 – 5x = 29
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (&Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 6 to both sides of the equation:
-5x - 6 = 29
-5x - 6 (+6) = 29 (+6)
-5x = 29 + 6
-5x = 35
Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5
x = 35/-5
x = -7
-7 is your answer for x.
~
please help: Simplify 6÷(4-2)+4
Answer:
7
Step-by-step explanation:
6/(2)+4
3+4
7(BODMAS)
But if you use calculator it we give you
5