Answer: 0.216 km .
Step-by-step explanation:
Given, The area of a square plot is 0.0324 hectares.
Since , 1 hectare =10,000 meters
Then, the area of a square plot = 10,000 x 0.0324
= 324 meters
Area of square = side²
[tex]\Rightarrow\ (\text{side})^2=324\\\\\Rightarrow\ \text{side}=\sqrt{324}=18\ m[/tex]
Perimeter = 4(side) = 4 x 18 = 72 m
Since it was fenced using 3 strands of wire.
So, Total length of wire used = 3 (Perimeter) = 3 (72)m
= 216 m
Hence, the total length of wire used 216 m.
In km , 216 m = 0.216 km [ 1 m = 0.001 km]
Hence, the correct option is 0.216 km .
Find the equation of a line with each of the following characteristics. A) Parallel to the line y = 3x + 5 and has a y-intercept of -1 B) Perpendicular to the line y = 5x - 1 and passes through the point (10, 8) C) Perpendicular to the line y = 1⁄3x + 4 and has an x-intercept of 2.
Answer:
A) y = 3x - 1.
B) y = -1/5x + 10.
C) y = -3x + 6.
Step-by-step explanation:
A) It is parallel, so it will have the same slope of 3. The y-intercept is -1.
So, we have y = 3x - 1.
B) It is perpendicular, so it will have the negative reciprocal slope of -1/5.
To find the y-intercept, put the points into the equation.
8 = -1/5(10) + b
8 = -2 + b
b - 2 = 8
b = 10
So, we have y = -1/5x + 10.
C) It is perpendicular, so the slope will have a negative reciprocal of -3. The x-intercept is 2, so it has a point at (2, 0). We put that into the equation.
0 = -3 * 2 + b
0 = -6 + b
b - 6 = 0
b = 6
So, we have y = -3x + 6.
Hope this helps!
Answer:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
A).y = 3x + 5
Comparing with the above formula
Slope / m = 3
y intercept = - 1
Since the lines are parallel their slope are also the same
Substituting the values into the formula
We have the final answer as
y = 3x - 1B).y = 5x - 1
Slope / m = 5
Since the lines are perpendicular the slope of the line is the negative inverse of the original line
That's
m = - 1/5
Equation of the line using point (10, 8) is
y - 8 = -1/5( x - 10)
y - 8 = -1/5x + 2
The final answer is
y = -1/5x + 10C).y = ⅓x + 4
Slope / m = ⅓
Since the lines are perpendicular the slope of the line is the negative inverse of the original line
That's
m = - 3
Equation of the line using point (2,0) is
y - 0 = -3( x - 2)
We have the final answer as
y = - 3x + 6Hope this helps you
Please answer this question now
Answer:
397.7 m²
Step-by-step Explanation:
The are of ∆UVW can be found ones we know the measure of 1 angle that is in between known lengths of two sides. Then, we would apply the formula, ½*a*b*sin(θ)
Where, a and b, are the lengths having an included angle (θ), in between them.
To find area of ∆UVW, we need m < V, side lengths of UV and VW.
m < V = 113°
VW = 29 m
UV = ?
Step 1: find UV using the Law of sines
[tex] \frac{UV}{sin(W)} = \frac{VW}{sin(U)} [/tex]
W = 34° [180 - (113+33)]
U = 33°
VW = 29 m
UV = ?
[tex] \frac{UV}{sin(34)} = \frac{29}{sin(33)} [/tex]
Multiply both sides by sin(34)
[tex] \frac{UV*sin(34)}{sin(34)} = \frac{29*sin(34)}{sin(33)} [/tex]
[tex] UV = \frac{29*sin(34)}{sin(33)} [/tex]
[tex] UV = 29.8 m [/tex]
Step 2: find the area of the triangle
Area = ½*a*b*sin(θ)
a = 29.8 m
b = 29 m
θ = 113°
Area = ½*29.8*29*sin(113)
Area = 397.7 m² (nearest tenth)
y + 2 = -3 (x - 4) Complete the missing value in the solution to the equation. (____, -2)
Answer:
( 4,-2)
Step-by-step explanation:
y + 2 = -3 (x - 4)
We are given y = -2
-2+2 = -3 (x-4)
0 = -3(x-4)
Divide by -3
0 = x-4
Add 4 to each side
4 = x-4+4
4 =x
Answer:4
Step-by-step explanation:
Please help me with this
Answer:
3, 8, 12, 12, 14, 20, 21, 23, 26, 34
stem leaf
0 3 8
1 2 2 4 (you have 12,12,14)
2 0 1 3 6 ( numbers 20,21,23,26)
3 4 ( number 34)
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items.
Rock beats Scissors, Scissors beat Paper, and Paper beats Rock.
We assume that both Jim and Renee have an equal chance of choosing any one of the hand signs.
Since, there are 3 possibilities, either Jim win or Renee or its a tie.
So, the probability that Jim will win: [tex]\dfrac{\text{Outcomes for Jim to win}}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{1}{3}[/tex]
Hence, the required probability is [tex]\dfrac{1}{3}[/tex] .
I need a clear explanation please bc i don't get how I'm supposed to do this. :,)
The half-life [tex]t_{1/2}[/tex] is the amount of time it takes for some quantity [tex]N_0[/tex] of carbon-14 to decay to half the original amount, or [tex]N=\frac{N_0}2[/tex].
In terms of the formula, it's the time such that
[tex]\dfrac{N_0}2=N_0e^{-kt_{1/2}}[/tex]
and we can divide both sides by the original amount to get
[tex]\dfrac12=e^{-kt_{1/2}}[/tex]
We want to find the time [tex]t[/tex] it takes for 57%, or 0.57, of the original amount to remain. This means we solve for [tex]t[/tex] in
[tex]0.57N_0=N_0e^{-kt}[/tex]
or
[tex]0.57=e^{-kt}[/tex]
We're given [tex]k=0.0001[/tex]; plug this in and solve for [tex]t[/tex]:
[tex]0.57=e^{-kt}\implies\ln0.57=-kt\implies t=-\dfrac{\ln0.57}k\approx\boxed{5621\,\mathrm{years}}[/tex]
Price elasticity of demand for tomatoes is 1.30. If hail storm adversely affects the nation’s production of tomatoes what will be the impact on total revenue from tomatoes and why?
Answer:
The total revenue will decrease.
Step-by-step explanation:
The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
last option
Step-by-step explanation:
It will take 200 / 5 = 40 months for Sara's phone to lose all its value, therefore, the domain is 0 ≤ t ≤ 40 because you can't have negative months. Since negative money is not a thing, the range has to be 0 ≤ V(t) ≤ 200 because it stops at 0 and starts at 200.
Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $40. What was the cost of a rose and a CD?
Answer:
work is shown and pictured
In △ABC, m∠A=15°, a=10, and b=11. Find c to the nearest tenth.
Answer:
There are two answers, c=20.2 or c=1.0
Step-by-step explanation:
The value of c is 20.2 units
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.
Law of Cosines FormulaThe law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:
find a when b, c, and A are given (or)find b when a, c, and B are given (or)find c when a, b, and C are given (or)find any angle of the triangle when a, b, and c are given.
There are three laws of cosines and we choose one of them to solve our problems depending on the available data.
a2 = b2 + c2 - 2bc·cosAb2 = c2 + a2 - 2ca·cosBc2 = a2 + b2 - 2ab·cosCAs,
m∠A=15°, a=10, and b=11.
Now, using cosine rule
cos A = b² + c² - a²/ 2bc
cos 15 = 121+ c²-100/22c
0.96 = 121+ c²-100/22c
21.25 c = 21 + c²
21 + c² - 21.25 c=0
By solving the quadratic equation
c=20.2 units.
Learn more about cosine rule here:
https://brainly.com/question/17121410
#SPJ4
If the measure of a tangent-chord angle is 68°, then what is the measure of the intercepted arc inside the angle?
Answer:
113°,
Step-by-step explanation:
tangent - chord angle is 68°,Answer:
112°
Step-by-step explanation:
1/2(248 - 112) = 68
2 equations with 2 unknowns
x = intercepted arc, y = rest of the circle
x + y = 360
1/2 (y - x) = 68
1/2 ((360 - x) - x) =68
360 - 2x = 136
224 = 2x
112 = x
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 Let S represent the number of stacks of pancakes that Benjamin buys.
Answer:
is the correct answer.
Step-by-step explanation:
As per the question statement:
Cost of Chocolate milk which is ordered already = $3.25.
Benjamin want his bill to be at most = $30
Each stack of pancakes contains 4 pancakes.
Each stack of pancake costs= $5.50
Given that S represents the number of stacks of pancakes bought.
We have, Cost of 1 pancake = $5.50
Now, let us calculate the cost of the number of stacks of pancakes bought.
[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]
i.e.
[tex]5.50S[/tex]
So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]
Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.
So, the inequality can be written as:
[tex]\bold{3.25+5.50S \le 30}[/tex]
Please refer to https://brainly.com/question/17138529 as well.
3.25+5.50S < (with line under it) 30
To add on to what isyllus said...
3.25+5.50S < (with line under it) 30 is the equation
16 pancakes is the amount.
:) hope this helps!
Molly is doing her math homework. To receive full credit, she must answer this question: What key features are necessary-and how are the features used-to create the sketch of a polynomial function? What is Molly's correct answer, so she receives full credit for the question? Explain in complete sentences. (10 points)
Answer:
The axis of symmetry, vertex, degree of polynomial and x and y intercepts
Step-by-step explanation:
When we talk of a polynomial function, we refer to a function that involves only non-negative integer(whole number) powers of the independent variable (x in most cases). Thus, popular examples of polynomial functions include quadratic, cubic and triatic functions.
Kindly note that once a function includes a non negative power, it is not a polynomial any longer. That is why although x^2 + 2x is a polynomial function, x^2 + 2x^-1 is not a polynomial function.
Now, there are some key features that are necessary in sketching a polynomial function.
These are the vertex, axis of symmetry, x and y intercepts and the degree of the polynomial
These properties are needed to successfully make a sketch of a polynomial function.
The vertex of a polynomial function refers to that point on the curve of the function where it changes direction. For example, quadratic polynomial functions are known to have a parabolic sketch. That point in which there is a change in direction of the parabolic curve is known as the vertex of the polynomial function. A knowledge of this would ensure a proper sketch of the polynomial function curve. It helps in showcasing the concavity of the function.
The axis of symmetry applies to polynomials with even degrees. A polynomial function with an axis of symmetry will have mirror images on each side of a line that directly cuts through the polynomial.
The x and y intercepts talks about the points at which the function touches the axes of the plot
The degree of the polynomial helps to find the end behavior of the polynomial. The degree of a polynomial refers to the highest power to which the independent variable is raised. It is an important factor in determining if a polynomial function sketch will possess an axis of symmetry.
Resolve into factors.
a)x4-5x2y2+4y4
Answer:
x^4-5x^2y^2+ 4y^4 = (x^2-4y^2)(x^2-y^2)
Step-by-step explanation:
Here in this question, we are to resolve the given expression into factors
x^4-5x^2y^2+ 4y^4
That can be rewritten as;
x^4-x^2y^2-4x^2y^2+4y^4
= x^2(x^2-y^2)-4y^2(x^2-y^2)
= (x^2-4y^2)(x^2-y^2)
1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936
Please answer ASAP 15 points for this one
Use multiplication to solve the proportion.
9/5 = z/20
Answer:
36
Step-by-step explanation:
9/5 = z/20
First, we have to divide what we know
9/5 = 1.8
1.8 = z/20
Next, we have to multiply both sides of the equation by 20 to cancel out the division sign
1.8•20 = z/20•20
36 = z
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle
The double number line shows that Faye can sort 150 recyclable items in 3 minutes. Based on the ratio shown in the double number line, how many recyclable items can Faye sort in 4 minutes? items
Answer:
200 Recyclables Items
Step-by-step explanation:
The first step is to find the common ratio using this formula
Common ratio= Numbers of recyclable items/Number of minutes it takes to sort the recyclable item
Let plug in the formula
Common ratio =150/3 = 50
This means that we have 50 Recyclables Items per minute.
Now let calculate how many recyclable items that Faye can sort in 4 minutes
This means we are going to multiply 4 minutes by the 50 recyclable items per minutes
Hence,
4 * 50 = 200 Recyclables Items
Therefore Based on the ratio shown in the double number line, this means that Faye can sort 200 recyclable item in 4 minutes
Answer: 200
Step-by-step explanation: Since 150 divided by 3 is 50 add a 50 to 150 and you get 200
What is the equation of the function in vertex form? Substitute numerical values for a,h and k,
Answer:
f(x)= -2(x-8)²+6
Step-by-step explanation:
First graph the points
you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6
so the equation is
f(x) = a(x-8)²+6to get a we will replace by the coordinates of a point for example (6,-2)
-2 = a(6-8)²+6 -2 = a*4+6 -2-6 = 4a -8 = 4a a = -2a is negative wich makes sense since the parabola opens down
f(x) = -2(x-8)²+6Theo made sails for a Model boat he cut along the diagonal of a rectangular piece of cloth to make two sales as shown below what was the area of the square feet of one to
Answer:
You need to give more information.
Step-by-step explanation:
.
Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?
No, there is no base common to any two successive terms.
yes, the base is 4
Answer:
yes, the base is 4
Step-by-step explanation:
What is the solution set of x for the given equation? x^2/3-x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer: The answer is D.
Step-by-step explanation: Ok, we start by simplifing the equation to 3√x^2 - 3√x=2. Now, by plugging the possible options in, we can find the answer. You find that -1 is a possible answer for x, so that eliminates E. Since there is no cube root for 2, we elimate A and B. By plugging in C and D, you find that C=6, not C=2. So D must be the answer.
Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent sales tax, what is the final cost of the bottle of nail polish?
Answer:
Hey there!
Marked down by 20 percent is equal to 80 percent of the original value.
4.5(0.8)=3.6
9 percent sales tax
3.6(1.09)=3.92
Hope this helps :)
Answer:
$3.92
Step-by-step explanation:
I took the test
The hanger image below represents a balanced equation.
3
5
2
Write an equation to represent the image.
Answer:
The answer is 1/5 + z = 3/5
Step-by-step explanation:
Answer:
1/5+z=3/5
Step-by-step explanation:
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements? The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
Answer:
The lengths 14, 24, and 26 cannot be the sides of a right triangle. The lengths 30, 72, 78 can be the sides of a right triangle.
Step-by-step explanation:
To prove that the lengths 14, 24, and 26 cannot be the sides of a right triangle:
a=14, b=24, c=26
Pythagoreon theorem: a^2+b^2=c^2
substitute values in: 14^2+24^2=26^2
simplify: 196+576=676
simplify again: 772=676, which is not true
This proves that the lengths 14, 24, and 26 cannot be the sides of a right triangle.
To prove that the lengths 30, 72, and 78 can be the sides of a right triangle:
a=30, b=72, c=78
Pythagoreon theorem: a^2+b^2=c^2
substitute values in: 30^2+72^2=78^2
simplify: 900+5184=6084
simplify again: 6084=6084, which is true
This proves that the lengths 30, 72, and 78 can be the sides of a right triangle.
Answer:
true, true, false,false, false,true,true,false
See explanations below
Step-by-step explanation:
If three sides can make a RIGHT triangle, then the sum of squares of the two shorter sides EQUALS the square of the third side, using the Pythatorean theorem.
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
The lengths 14, 24 and 26 cannot be sides of a right triangle.
TRUE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 can be sides of a right triangle.
TRUE, A^2+B^2-C^2= 0
The lengths 14, 24 and 26 can be sides of a right triangle.
FALSE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 cannot be sides of a right triangle.
FALSE, A^2+B^2-C^2= 0
The lengths 14, 24 and 26 can be sides of a right triangle.
FALSE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 can be sides of a right triangle.
TRUE, A^2+B^2-C^2= 0
The lengths 14, 24 and 26 cannot be sides of a right triangle.
TRUE, A^2+B^2-C^2=4sqrt(6)
The lengths 30, 72, and 78 cannot be sides of a right triangle.
FALSE, A^2+B^2-C^2= 0
6 (x - 5) = 5 (x - 4) i need it asap with steps pls
Step-by-step explanation:
[tex]6x - 30 = 5(x - 4)[/tex]
[tex]6x - 30 = 5x - 20[/tex]
[tex]6x - 30 - 5x = - 20[/tex]
[tex]x - 30 = - 20[/tex]
[tex]x = - 20 + 30[/tex]
[tex]x = 10[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
HELP!!! A plumber charges a fee of $25 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function? Linear: t=25+30h Linear:T=30+25h Exponential:T=30(25)^h Exponential: T=25(30)^h HELP I HAVE 10 MINS LEFT
Answer:
Yes, this function can be defined by linear model.
Step-by-step explanation:
[tex]\mathrm{Total\:=\:Fixed\:Fee\:+\:Hourly\:Rate\:\times Number\:of\:hours}[/tex]
[tex]\mathrm{Linear:}\:\:T=\:$25+30h[/tex]
Best Regards!
What is the equation of the function in vertex form?
Answer:
Your correct answer is -b/2a
Step-by-step explanation:
What you need to do is find the coordinates of the vertex from the equation itself, using this formula: x = -b/2a
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown. 110, 130, 150, 170, ...
Answer:
f(n + 1) = f(n) + 20
Step-by-step explanation:
Let f(x) equals their pay at every hour of X
Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say
1 hour work=$20
Then additional 1hour+ n= $20 + n
Hence,f(n+1)=f(n)+20
The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of the rectangle? The length is? And the width is?
Hey there! I'm happy to help!
We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.
2(3)+2(5)
6+10
16
How can we get this 16 to 64?
64/16=4
So, we need to multiply this length and width by four to get 64 as our perimeter!
3*4=12
5*4=20
We can plug this into our perimeter equation
2(12)+2(20)
24+40
64
Therefore, our length is 12 and our width is 20.
Have a wonderful day! :D