Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.
Which set of ordered pairs represents a function?
(0, 0), (1, 2), (2, 4), (3, 4)
(0, 1), (1, 2), (2, 3), (2, 4)
{0, 0), (0, 2), (2, 2), (2, 4)
(O0, 1), (1, 3), (1, 5), (2, 6)
Step-by-step explanation:
на я был в bbs я был в душе
Solve for u .
-3 (-6u+6) - u = 2 (u-6) - 1
Answer: U = 18
Step-by-step explanation:
U in (-oo:+oo)
U/(-6)+2 = -1 // + 1
U/(-6)+1+2 = 0
3-1/6*U = 0 // - 3
-1/6*U = -3 // : -1/6
U = -3/(-1/6)
U = 18
U = 18
Answer:
-3 (-6u+6) - u = 2 (u-6) - 1
18u -18 -u = 2u -12 -1
18u-u-2u=-12-1+18
15u= 5
u =5/15 = 1/3
Step-by-step explanation:
Please someone help me with this
Answer:
Looks like at (3,21) the graph intersects, meaning both values are equal to one another.
Which value of w is the solution to the question? 2w-5=w+10
Answer:
w = 15
Step-by-step explanation:
2w - w = 10+5
w = 15
simple!
A passenger in an airplane looks out the window and spots the airport in the distance. The angle of depression to the airport is 63°, and the airplane is flying at 18,000 feet. What is the horizontal distance to the airport?
9514 1404 393
Answer:
about 9171 feet
Step-by-step explanation:
It can help to draw a diagram.
The relation between angle, opposite side, and adjacent side in a right triangle is ...
Tan = Opposite/Adjacent
tan(63°) = (18000 ft)/(horizontal distance)
horizontal distance = (18000 ft)/tan(63°) ≈ 9171 ft
The horizontal distance to the airport is about 9171 feet.
PLZ CHECK, DON'T SPAM PLZ
its attached below
Answer:
correct answer given
Answer:
C
Step-by-step explanation:
The constant term in a polynomial expression is the numeric term with no variable attached to it.
In this case the constant is + 1 → C
Selec*t the shape bel*ow that has exactl*y two lines of symmetry as well as 180 rotation symmetry.
-None of these
-Parallelogram
-Rectangle
-Square
-Regular Hexagon
Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip is 15%?
Answer:
$5.40
Step-by-step explanation:
Hoped I helped! Im Eve btw. Have an amazing day and consider marking this brainliest if you do thank you in advanced!
If you are buying at item at a store for a price of $61, and there is a 6.7% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
The total amount due at the register will be: $65.09
Step-by-step explanation:
The cost of an item = $61
tax on item = 6.7%
The tax amount = 6.7% × 61
= 0.067 × 61
= $ 4.09
The total cost = cost of an item + tax amount
= $61 + $4.09
= $65.09
Therefore, the total amount due at the register will be: $65.09
6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
[tex]C = 42[/tex]
[tex]L= 126[/tex]
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
[tex]42 = 2^1 * 3^1 * 7^1[/tex]
[tex]126 = 2^1 * 3^2 * 7^1[/tex]
Hence, the GCF is
[tex]GCF = 2^1 * 3^1 * 7^1[/tex]
[tex]GCF = 42[/tex]
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
[tex]Treats = \frac{C}{GCF}[/tex]
[tex]Treats = \frac{42}{42}[/tex]
[tex]Treats = 1[/tex]
For L:
[tex]Treats = \frac{L}{GCF}[/tex]
[tex]Treats = \frac{126}{42}[/tex]
[tex]Treats = 3[/tex]
Hence, 1 candy bar and 3 lollipops
Nevaeh is decorating the Christmas tree. She has 85 red bulbs, 76 green bulbs, 49 yellow bulbs, and 52 blue bulbs.
A. Does she have more red and blue bulbs or green and yellow bulbs?
B. How many light bulbs does she have in all?
Answer:
A) Red and Blue Bulbs
B) 262 lightbulbs.
Step-by-step explanation:
A) red and blue = 85+52=137
Yellow and green = 76+49=125
Answer to A is Red and Blue bulbs
Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.
Hope this helps plz hit the crown :D
x/18 = (2/3)^log base x of 12
Answer:
wait what is that what the question ask you to do
write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)
an equation is: a(n) = _n-_
a(50)= _
Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus
[tex]a_{n}[/tex] = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9
Then
a(50) = 5(50) - 9 = 250 - 9 = 241
Which of the following best classifies a quadrilateral with coordinates A(2, 6), B(5, 1), C(10, 4), and D(7, 9)?
Rectangle
Parallelogram
Rhombus
Square
Answer:
Square
Step-by-step explanation:
I took the flvs test, and I actually looked on course hero (a trusted site) and found it was square, then worked the problem out and found out it was actually a square.
Quadrilateral is a polygon with four sides. The specified quadrilateral falls in the category shown by: Option
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
What is a rhombus?Its a parallelogram but all sides of same length. Its diagonals are perpendicular bisector of each other, but might not be equal.
What is a square?That rectangle whose all sides are equal is called a square.
A square has its diagonals perpendicular bisector of each other and are of same length. (this is actually a characteristic property, which means that if a quadrilateral has its diagonals equal and perpendicular, then it is a square for sure).
A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).
What is the distance between two points ( p,q) and (x,y)?The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2 }[/tex](in units)
How to find if two lines are perpendicular to each other?If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a
For the given case, the coordinates of the vertices of the quadrilateral are: A(2, 6), B(5, 1), C(10, 4), and D(7, 9)
The diagonals are AC and BD.
Slope of AC = [tex]m_{AC} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4-6}{10-2} = -1/4[/tex]
Slope of BD = [tex]m_{BD} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9-1}{7-5} = 4[/tex]
It is visible that AC and BD's slope are negative reciprocal of each other. Thus, they are perpendicular to each other. Thus, the quadrilateral is either a square or Rhombus
Now, finding lengths of the diagonals:
[tex]|AC| = \sqrt{(4-6)^2 + (10-2)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]
[tex]|BD| = \sqrt{(7-5)^2 + (9-1)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]
Thus, their lengths are also same,
This is why, the considered quadrilateral is a square.
Learn more about square here:
https://brainly.com/question/5426789
PLEASE HELP ME.
The coordinates for the vertices of quadrilateral ABCD are A(-3,2) B(-2,6) C(2,7) and D(1,3). Use this information to answer the questions below.
Slope of side AB:
A. 1/4
B. 4/1
C. -1/4
D. -4/1
Slope of side CD
A. 1/4
B. 4/1
C. -1/4
D. -4/1
Slope of side DA
A. 1/4
B. 4/1
C. -1/4
D. -4/1
Classify the quadrilateral
A. Square
B. Rectangule
C. Rhombus
D. Parallelogram
E. Trapezoid
Answer:
B, B, A
Step-by-step explanation:
I don't know number 4 answer. hope I helped
help someone please i’ll give brainliest
Will Give Brainly if correct
Select all the angle measurements that are correct
g=24,
h=24,
f=151,
g=29,
b=132,
h=19
Answer:
a = 132
b = 132
d = 29
e = 29
f = 151
g = 24
h = 24
The sum of the digits of a certain two-digit number is 7. If you flip the digits of the two-digit number, the number is increased by 9. What is the two digit number?
Answer:
34
Step-by-step explanation:
3 + 4 = 7
34 increased by 9 is 43.
Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?
Answer:
$189
Step-by-step explanation:
We can create a system of equations to solve this equation. They are as follows:
[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]
In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.
We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.
[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]
Now that we have A by itself we can plug it into the second equation.
[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]
We have found Y now lets plug it back into the first equation to find the value of A.
[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]
Let's check our variables by plugging them both in to the second equation.
[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]
Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:
[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]
Therefore, 2 adult tickets and 5 kid tickets would cost $189.
Hope this helps!!
- Kay :)
If you have any questions feel free to ask!
How much would a 20% tip be
Answer: 1.18 OR 0.18
Step-by-step explanation:
Answer:
It would depend of what your bill is.
Step-by-step explanation:
Here is how to find the tip of a bill.
Move the decimal, then double the number.
Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.
Round up to the next easy number: $5.40.
Double that number to get $10.80, which is 20% of your original bill.
HELP!!!!
When is Ann's distance from home increasing the fastest? give a reason to support your answer
Which is equivalent to
2 1/4
Answer:
9/4 or 2 2/8
Step-by-step explanation:
Answer:
you did not put the options but here are some
9/4 = the improper fraction
2 2/8
2.25
if u want other ones lemme know, cuz i dont know the options they gave u, if there are any options.
Have a nice day!
Expand and simplify
(5x+2)(2x-3)
Step-by-step explanation:
(5x + 2)(2x –3)
5x² – 15x + 4x – 6
5x² – 11x –6
She is so lazy and so am i
Answer:
Step-by-step explanation:
1). 624 ÷ 2 = 312
2). 1823 ÷ 4 = 455.75
3). 503 ÷ 3 = 167.666 ≈ 167.67
4). 443 ÷ 3 = 147.666 ≈ 147.67
5). 4268 ÷ 2 = 2134
6) 6430 ÷ 4 = 1607.5
Daniela has 214 basketball games left to play in a tournament, and she has 34 gallon of water left to drink. If she drinks the same amount of water each game, how much water can she drink each game?
Answer:3 gallons 0f water
Step-by-step explanation:
Will be mark brainless please answer correctly
Select the correct answer.
Consider functions hand k.
A. 1
B. -3
C. 2
D. 4
we can find the tax rate on the $78 item that cost $82.68 after tax by using the equation
Answer:
There is no question, can you type it?
Step-by-step explanation:
5•11+5•(-4)=5(11-4) wich property?
Answer:
Step-by-step explanation:
55
Solve the system by substitution 10x-2y=-16 and y=3x
Answer:
x=4
Step-by-step explanation:
10x- 2(3x)=-16
10x-6x=16
4x=16
x=16/4=4
4. Ollie has a jar of preserves in the shape of the cylinder. If the jar is currently , full of preserves,
what is the volume of preserves in the jar?
Answer: D. 25.12 units3
Step-by-step explanation:
Answer: D
Step-by-step explanation:
so first you need to find the volume of the cylinder which is 100.53
Next, you need to divide the volume by 1/4 which will give you 25.13