The perimeter of the rectangle is 60 yards
What is the Perimeter of a Rectangle?
The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
Let the length of the rectangle be = a
Let the width of the rectangle be = b
The length of the rectangle is twice the width
So ,
a = 2b
The area of the rectangle is A = 200 yards²
The area of the rectangle is given by
Area of Rectangle = Length x Width
And , substituting the values for length and width , we get
Area of Rectangle = 2b x b
2b² = 200
Divide by 2 on both sides , we get
b² = 100
Taking square root on both sides , we get
b = 10
a = 2b
a = 20
Therefore , the length of the rectangle is 20 yards and width of the rectangle is 10 yards
Now , the perimeter of the rectangle is P = 2 ( length + width )
Perimeter of the rectangle P = 2 ( 10 + 20 )
= 2 x 30
= 60 yards
Hence , the perimeter of the rectangle is 60 yards
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Mike and Julie surveyed students to determine how many had a grade of A in math. They recorded their findings for each survey in the table below.
Students with an A in Math
Number of A grades Number of students surveyed
20
4
40
8
60
12
80
16
What is the constant of proportionality of the ratio of students surveyed to the number of A grades?
0.2
0.5
2
5
20/4 = 5
40/8 = 5
60/12 = 5
80/16 = 5
Answer is 5
Answer:
Option D 5
Step-by-step explanation:
Mike and Julie surveyed students to determine how many had a grade of A in math as given in the table.
We have to find the proportionality constant of the ratio of students surveyed to the number of A grades.
Since proportionality constant = [tex]\frac{\text{Students Surveyed}}{\text{number of A grades}}[/tex]
=[tex]\frac{20}{4}=5[/tex]
Similarly we can get the constant form other data which is equal to 5.
Therefore, Option D. 5 is the correct option.
Which property justifies this statement?
x−4=x−4
A. Substitution Property of Equality
B. Transitive Property of Equality
C. Reflexive Property of Equality
D. Symmetric Property of Equality
Answer:
C. Reflexive Property of Equality
Step-by-step explanation:
[tex]x-4=x-4[/tex]
A. Substitution Property of Equality
Some value is substituted for any variables. In the given equation, the value for x is not substituted.
B. Transitive Property of Equality
If [tex]c=b+1 \ and \ b+1=4[/tex] then c=4. Given equation does not represent transitive property.
C. Reflexive Property of Equality
When both sides are equal , then it is reflexive property
[tex]x-4=x-4[/tex] represents reflexive property of equality
D. Symmetric Property of Equality
If [tex]1+2=a[/tex] then [tex]a=1+2[/tex]
Given equation does not represents symmetric property
What is the 8th term in the sequence?
an=25−3n
Enter your answer in the box.
Hence, the 8th term of the sequence is:
[tex]a_8=1[/tex]
Step-by-step explanation:We are defined the nth term in the sequence with the help of the relation or expression as:
[tex]a_n=25-3n-------(1)[/tex]
We are asked to find the 8th term of the sequence i.e. we are asked to find the value of [tex]a_n[/tex] when n=8.
so, we will put n=8 in the given expression (1).
[tex]a_8=25-3\times 8\\\\a_8=25-24\\\\a_8=1[/tex]
Hence, the 8th term of the sequence is:
[tex]a_8=1[/tex]
Identify the values of a b and c in the quadratic function y = 3x -5x +2
A 3-cup bottle of dish soap costs $5.28. What is the price per fluid ounce?
Answer:A 3-cup bottle of dish soap costs $3.36. What is the price per fluid ounce.
Step-by-step explanation:
What is the playing surface called where the college basketball semi- finals are played
The playing surface where the college basketball semi-finals are played is called the court. It is rectangular in shape and has various markings such as the three-point line and free-throw line.
Explanation:The playing surface where the college basketball semi-finals are played is called the court or the basketball court. The court is rectangular in shape with a length of 94 feet and a width of 50 feet. It is divided into two halves with a midcourt line and has markings such as the three-point line, free-throw line, and key.
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Madison wants to make cookies for her little sisters birthday party. She is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is 13 inche long, how many cookies can she make
Answer:
26 cookies
Step-by-step explanation:
13 times 2
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session.if Allison already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal ?
Find the greatest possible value of the product xy, given that x and y are both positive and x + 2y = 30
Answer: The maximum value of the product x*y is 112.5
Step-by-step explanation:
We have that x + 2y = 30
so we can isolate one of the variables and get:
x = 30 - 2y
now, the product of x*y can be written as:
x*y = (30 - 2y)*y = 30y - 2y^2
now, we want to find the maximum of 30y - 2y^2
because the leading coeficient is negative (-2), we know that the hands of the quadratic function will go downwards, so the zero of the derivate of this quadratic equation will give us the value where the equation has a maximum:
f(y) = -2*y^2 + 30*y
f'(y) = -4*y + 30 = 0
y = -30/4 = 7.5
So the maximum value is:
f(7.5) = -2*7.5^2 + 30*7.5 = 112.5
Colby worked three more hours on tuesday than he did on monday. on wednesday, he worked one hour more than twice the number of hours that he worked on monday. if the total number of hours is two more than five times the number of hours worked on monday, how many hours did he work on monday>
Answer:
a,b,c
Step-by-step explanation:
i guessed and then they told me the right answer .
At a discount grocery store, Jessica paid 0.72 for an 8-ounce bottle of spring water. What is the cost of the spring water per ounce?
For anyone taking or has taken vlacs algebra one, I really need a paragraph describing what was in module #1 for a discussion based assessment. Please help :!
How can I tell if they are none transversal?
A non-transversal line in geometry is a line that does not intersect two or more lines at distinct points. Similarly, in geology, folds with a horizontal axial line, called non-plunging folds, can be analogous to non-transversal lines as they don't intersect with another structure at a distinct point.
Explanation:In mathematics, specifcally in geometry, transversal is a line that passes through two lines in the same plane at two distinct points. If a line does not intersect two or more lines at distinct points, it can be considered as a non-transversal line.
According to the information provided, in the context of folds in geology, the axial line becomes a key concept. The axial line refers to an imaginary line drawn along the crest of a fold. If the axial line is horizontal, the fold is referred to as a non-plunging fold and it could be analogous to a non-transversal line in geometry, as it doesn't intersect with another structure at a distinct point.
However, if the axial line is tilted (plunging), it might be considered as a transversal in the sense that it 'intersects' the horizontal plane at a distinct angle. Similarly, if a line in geometry is tilted and intersects two or more lines at distinct points, it is a transversal line.
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Describe how the graph of y= [tex]x^{2} [/tex] can be transformed to the graph of the given equation.
y = [tex](x-12) ^{2} [/tex] + 3
What has a greater area, a square or an equilateral triangle?
What are the odd numbers between 3497 and 3511?
convert 0.000064 to scientific notation
Maths question below please help
A baker sells bread for $5 a loaf and rolls for $1 each. The baker needs to sell $35 worth of baked goods by the end of the day. Enter a linear equation that describes the problem.
Explanation:
Cost of 1 loaf of bread = $5
Cost of 1 roll = $1
The baker needs to sell both items and it should be worth $35.
To find the linear equation, Suppose, the baker sells “b” loaves of bread and “r” rolls.
Then the total cost of the sales has to be $35.
So, the linear equation will be:
5b + 1r = 35
Graph this equation on this graph
4/3 of a number is 20. What is the number?
I WILL MARK BRAINLIEST ANSWER
What is the equation of the following graph in vertex form?
y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8
Answer:
y = (x + 3)2 − 1
:)
A conjecture and the paragraph proof used to prove the conjecture are shown.
Drag an expression or statement to each box to complete the proof.
It is given that ∠1≅ ∠4 . By the vertical angle theorem, [blank] ≅∠1 . Therefore, ∠2≅∠4 by the substitution property. By the [blank] , ∠4≅∠3 . So, ∠2≅[blank] by the [blank]
choices:
verticle angle theorim, transitive property of congruence, ∠4, ∠3, ∠2, ∠1
Answer:
∠2; vertical angle theorem; ∠3; transitive property of congruence
Step-by-step explanation:
∠2 and ∠1 are opposite angles that share only a vertex. This is the definition of vertical angles, and by the vertical angle theorem they are congruent.
Substituting ∠2 for ∠1 in our "given" statement, we now know that ∠2≅∠4.
∠4 and ∠3 are opposite angles that share a vertex. This makes them vertical angles, and the vertical angle theorem states that they are congruent.
The transitive property, algebraically, states "if a=b and b=c, then a=c." Applied to this proof, it states "if ∠2≅∠4, and ∠4≅∠3, then ∠2≅∠3."
The required solution for the blacks,
Blank 1 = ∠2;
Blank 2 = vertical angle theorem;
Blank 3 = ∠3; the transitive property of congruence.
It is given that
∠1≅ ∠4 . By the vertical angle theorem, [blank] ≅∠1 . Therefore, ∠2≅∠4 by the substitution property. By the [blank] , ∠4≅∠3 . So, ∠2≅[blank] by the [blank].
To determine the missing statement at the place of blanks in the statement.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Since
Black 1
∠2≅∠4
and ∠1≅ ∠4
So ∠2 ≅ ∠1
Blank 2
∠2≅∠4 are equal by the vertical angle theorem.
Blank 3
∠4≅∠3
∠3 ≅∠1
So,
∠2 ≅ ∠1 ; ∠2≅∠3 and ∠4≅∠3 it is transitive property of congruence.
Thus, the required solution for the blacks,
Blank 1 = ∠2;
Blank 2 = vertical angle theorem;
Blank 3 = ∠3; the transitive property of congruence.
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Annette drives her car 120120 miles and has a mean of a certain speed. if the mean speed had been 3mph3mph more, she could have traveled 128128 miles in the same length of time. what was her mean speed?
Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
1. (−$8) ÷ 12
2. (−$8) ⋅ 12
3. (−$8) − 12
4. (−$8) + 12
Hello,
100% CorrectThe correct answer is B) (-$8) × 12
Hope this helps!!!! :)
(Took the Math test)
**(Vanessa)**
Determine the exponential function that satisfies the given conditions:
The initial mass is 1.4g and it is halving every 4 days.
To determine the exponential function, use the general form of an exponential function and substitute the given values. The equation is y = 1.4 * (1/2)^(x/4).
Explanation:An exponential function represents exponential growth or decay. In this case, the given information states that the initial mass is 1.4g, and it is halving every 4 days. We can use the general form of an exponential function, y = ab^x, where a is the initial value, b is the growth/decay factor, and x is the time in days.
Since the mass is halving every 4 days, the decay factor is 1/2, since the mass is halving. The equation becomes y = 1.4 * (1/2)^(x/4).
This equation represents the exponential function that satisfies the given conditions.
Evaluate 32 + (7 − 2) ⋅ 4 − 6 / 3.
a. 24
b.54
c.27
d.28
For some reason I keep getting the result 50.
what’s the slope for x+5=y
what is 5 divided by 9374
This year, the parade had 127 floats. That was 34 fewer floats than last year. How many floats were in te parade last year ?
Answer:
Last year were 161 floats, that is, 34 more than this year.Step-by-step explanation:
Givens
There are 127 floats this year.That represents 34 fewer floats than last year.The second given statement expresses that this year there are 34 LESS floats. So, to know how many floats were there last year, we just need to sum
[tex]127+34=161[/tex]
Therefore, last year were 161 floats, that is, 34 more than this year.