A rectangular lot is 125 yards long and 80 yards wide.
Give the length and width of another rectangular lot that has the same perimeter but a larger area.
Answers
Answer:
Step-by-step explanation:
perimeter=2(125+80)=2(205)=410 yards
let the length of new rectangle be x and y.
Perimeter=2(x+y)
2(x+y)=410
x+y=410/2=205 yards
y=205-x
area A=xy=x(205-x)=205x-x²
[tex]\frac{dA}{dx} =205-2x\\\frac{dA}{dx}=0,gives~205-2x=0\\x=\frac{205}{2}\\\frac{d^2A}{dx^2}=-2<0 ~at~x=\frac{205}{2}\\[/tex]
A is maximum at x=205/2
y=205-205/2=(410-205)/2=205/2
so x=205/2=102.5 yards
y=205/2=102.5 yards
Related Questions
Order the following numbers from least to greatest...
Answers
Answer:
-25/3,[tex]\sqrt{x} 15[/tex],-pi/2,3pi
Step-by-step explanation:
i dont get how to do these questions
-25x=-150
Answers
Answer:
x=6
Step-by-step explanation:
you divide -25 on both sides
-25x=-150
divido todo por -25 lo que me da es
x=6
¿cuales son las funciones de sunass, osinergmin y osiptel?
Answers
Answer:
la verdD no c
Step-by-step explanation:
pero tu pon lo q creas nadie es perfecto
only 10 minutes
R (3, 2), S (5, -2), and T (6, 0) are the coordinates of a triangle's vertices. If the triangle is reflected over the y-axis, what are the coordinates of the image?
R'(-3, 2), S'(-5, -2), T'(6, 0)
R'(-3, 2), S'(-5, -2), T'(-6, 0)
R'(-3, -2), S'(-5, 2), T'(-6, 0)
R'(3, -2), S'(5, 2), T'(6, 0)
Answers
Answer:
If the triangle is reflected the new coordinate will be
R'(-3, 2), S'(-5, -2), T'(-6, 0)
Answer:
B. R'(-3, 2), S'(-5, -2), T'(-6, 0)Step-by-step explanation:
Reflected over the y-axis changes x-coordinate to opposite and y-coordinate remains as is:
(x, y) → (-x, y)Apply the rule to the given points:
R (3, 2) → R'(-3, 2) S (5, -2) → S'(-5, -2)T (6, 0) → T'(-6, 0)Correct option is B
How many 45° angles would it take to turn in a complete circle
Answers
Answer: 8 45 degree angles
Step-by-step explanation:
A circle is 360 degress. 360 divided by 45 equals 8
Answer:
8
Step-by-step explanation:
a circle is 360°. to find how many 45° angles it would take to turn in a complete circle:
360°/45°=8
it would take 8 45° angles to turn in a complete circle
A triangle has side lengths of (3.76 + 1.7) centimeters, (1.36 + 1.1) centimeters,
and (7.1c +5.1) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?
Answers
Answer:
Step-by-step explanation:
our triangle has one length: 3.76+1.7=5.46
another side: 1.36+1.1=2.46
last side: 7.1+5.1=12.20
Perimeter is=5.46+2.46+12.20=20.12 cm
A group of preschoolers was asked to name their favorite fruit. What percent of the kids chose grapes?
29%
79%
21%
31%
Answers
answer is 21%
.
.
.
.
21
TL;DR
The answer is 21%
Find the slope of the line containing the pair of points. (-8,-3) and (2,4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (Simplify your answer)
Answers
Answer:
your slope should be 7/10
Step-by-step explanation:
What is 13 divided by 0.22 and round to the nearest hundredth
Answers
Answer:
59,09
.........................................................
Find the area of the irregular figure. (Assume that all angles are right angles) PLEASE help quick
Answers
Answer:
B
Step-by-step explanation:
you got to divide it into different shapes so I divided it into three rectangles. Area of a rectangle is Length×Width so the first triangle was 2×3=6 the second was 1×2=2 and the third was 1×3=3 then u add them and u get 11.
Answer:
B
Step-by-step explanation:
easy peasy lemon squeasy
The ratio of 2 numbers is 3:5. The larger number is 30. What is the smaller number?
Answers
Answer:
18Step-by-step explanation:
hope it help u
please follow meAnswer:
18
Step-by-step explanation:
One number = 3x
Another = 5x = 30
5x= 30
x = 30 / 5 = 6
One number = 3x = 3 x 6 = 18
Another = 5x = 30
J'espère que je suis correct ;)
I hope im right!!
round 6 3/4 to the nearst whole number
Answers
Answer:
7
Step-by-step explanation:
do you really need one?
Use the figure to find the measures of the numbered angles.
m∠1=
∘, m∠2=
∘, m∠3=
∘, m∠4=
∘, m∠5=
∘, m∠6=
∘, m∠7=
Answers
Step-by-step explanation:
consider 61°=m angle 8
angle 1=angle 8........ corresponding angle
angle 1=61°
angle 2+angle 1=180°.........angles in linear pair
180-61
angle 2=119°
angle 3=angle 8 alternate angle
angle 3=61°
angle 4=angle 2............ opposite angles
angle 4=119°
angle 5=angle 4......... alternate angles
angle 5=119°
angle 6=angle 8......... opposite angles
angle 6=61°
angle 7=angle 5.......... opposite angles
angle 7=119°
Solve. Write your answer in interval notation.
|x + 6| ≥ 3x − 2
Graph if possible. Not necessary tho.
Answers
If Horace can paint n houses in h hours. Which represents his average rate in houses per hour?
Answers
Answer:
n/h
Step-by-step explanation:
Average rate pf houses per hour = total number of houses painted / total hours
= n/h
Let's use an example - if i paint 10 houses in 2 hours.. how many houses would i paint in an hour
10/2 = 5 houses
Answer:
It's D, n/h
Step-by-step explanation:
what is 1 1/3 x 1 3/4
Answers
Answer:
Step-by-step explanation:
I like to convert them to improper fractions first, so that will make 1 1/3 turn into 4/3, and 1 3/4 into 7/4, then multiply and you get 28/12 or 7/3 simplified
Answer:
0.416667 or [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answers
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct
Solve for w
-w + 181 = 128
w = ____
Answers
when you add negative numbers its basically subtracting
Is the negative square root of 9 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
-9 is rational because 9 is a perfect square and all perfect squares are rational.
Rome had to pay yearly
tribute to Carthage..
Is this true or false
Answers
Answer:
True
Step-by-step explanation:
At least that's what wiki says
Evaluate the function h(t)= t2 - 8t+12 at t=0. Then plot the point on the graph.
Answers
Answer:12
Step-by-step explanation:
Given
The function is given by
[tex]F(t)=t^2-8t+12[/tex]
at t=0
[tex]F(0)=0^2-8\times 0+12=12[/tex]
Graph of this function is given below
2, -3, -8, -13, -18,
Answers
Answer:
Step-by-step explanation:
2, -3 , -8 , -13 , - 18 .............
This is an arithmetic sequence.
First term = a = 2
Common difference = Second term - first term
= -3 - 2 = -5
Nth term = a + (n - 1)*d
= 2 + (n - 1)*(-5)
= 2 + n*(-5) - 1 *(-5)
= 2 - 5n + 5
= 7 - 5n
n = 19,
19th term = 7 - 5*19
= 7 - 95
= - 88
n = 21,
21st term = 7 - 5*21
= 7 - 105
= -98
Marcel bought a new pair of inline skates. Each wheel on the skates is 41 millimeters in radius. Which shows the number of millimeters traveled in 5 full rotations of a wheel?
Answers
Length length radius of a wheel in an inline skates = 41 millimeters
Circumference of wheel = Millimeters traveled by the wheel in one rotation
(pi value = [tex] \tt\: \frac{22}{7} [/tex])
Circumference of wheel :
[tex] = \tt2\pi r[/tex]
[tex] =\tt 2 \times \frac{22}{7} \times 41 [/tex]
[tex] = \tt \frac{2 \times 22}{7} \times 41[/tex]
[tex] = \tt \frac{44 \times 41}{7} [/tex]
[tex]\color{plum} =\tt 257.71 \: mm[/tex]
Thus, the wheel will travel 257.71 mm in one rotation.
Distance traveled by the wheel in 5 rotations :
= distance traveled by the wheel in 1 rotation × 5
[tex] =\tt 257.71 \times 5[/tex]
[tex]\color{plum} = \tt\bold{1288.55 \: mm}[/tex]
[tex] =\tt \frac{1288.55}{10} \: cm[/tex]
[tex] \color{plum}=\tt 128.855 \: cm[/tex]
▪︎Therefore, the distance traveled by the wheel in 5 rotations = 1288.55 millimeters or 128.855 cm.
Anita drove at a constant speed of 70 mph per hour. How many miles did she travel in 6 hours?
Answers
Answer:
420
Step-by-step explanation:
Speed x Time = Distance
70 x 6 = 420
Therefore your answer is 420.
In a quadrilateral ABCD , AB = BC and CD = DA . Then , the quadrilateral is a :
a) Parallelogram
b) Rhombus
c) Kite
d) Trapezium
Answers
AB,BC and CD,DA represent two pairs of equal adjacent sides. We know that in a kite, the four sides can be grouped into two pairs of equal length sides that are adjacent.
Hence, the given quadrilateral is a kite.
Solve six and two sixths times one and one half
Answers
Answer:
9.45
Step-by-step explanation:
6 2/6 = 6.3
1 1/2 = 1.5
6.3 * 1.5 = 9.45
9.45
pls help meeeeeeeeeeeeeeeeeeeee i need to figure out the 2 words
Answers
Answer:
who
not
is your answer
Step-by-step explanation:
hope it's helpful to you
have a great day ahead
Answer:
hotnotshotnetwetnewtoe[tex]\huge\fbox\green{I think it help you}[/tex]
[tex]\bold{Kunal^Bodke}[/tex]
Given the following table and graph, write an equation to represent the exponential function
Answers
Answer:
amogus??
Step-by-step explanation:
Thank you all for helping so far, mind if I ask again, haha
Answers
Answer:
10 < 18 + 7
10 < 25
True yyes
cuz it is above 10
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
For a point to satisfy an inequality, when it is pluged in, the inequality must be true. So, first, plug in 3 for x and 10 for y. After plugging in the points the inequality is 10< 6(3)+7, then simplify the inequality. This equals 10<25, which is a true statement. Therefore the answer is yes.
Janice has a monthly net income of 3850. Use the graph to find how much left for the rest of her budget after she pays her rent and food
Answers
Answer:
what are the choices to chose from for this question, if we have the same answers then I think that its 50, but im not sure
The graph that represents the expression is given.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
Given expression,
Let x be the amount Janice pays for rent and
y be the amount she pays for food.
Then,
rest of the budget is;
3850 - x -y
the function is,
y = 3850 - x
Therefore, the graph is given in the image.
To learn more about the line graph;
brainly.com/question/23680294
#SPJ5
