The dimension that maximize the are of the pen is 45 ft by 90 ft.
Area of a rectanglearea = lw
where
l = length
w= width
Therefore,
perimeter of a rectangle = 2(l + w)
The barn is occupying one part of the rectangle . Therefore,
perimeter = 2l + w
180 = 2l + w
w = 180 - 2l
area = lw
Therefore,
area = l(180 - 2l)
area = 180l - 2l²
To maximize area
l = -b / 2a
l = - (180) / 2 × -2
l = -180 / -4
l = 45 ft
Therefore,
w = 180 - 2(45)
w = 180 - 90
w = 90 ft
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Alver has to travel a total of 500 kilometers. He travels the first 200 kilometer in 4 hours. Calculate his average speed for the first part of his journey.
Answer:
50 km/h
Step-by-step explanation:
Avg. speed = distance / time
= 200 km / 4 hours
= 50 km/h
What is the value of z?
Answer: 58 degrees
Step-by-step explanation:
We can see that this triangle is an isosceles triangle so that means the two bottoms angles will be equal
Point S must be equal to point U
z = 58 degrees
Check if this is true:
Angle sum of a triangle: 180 degrees
58 + 58 = 116
180 - 116 = 64
Point T is 64
58 + 58 + 64 = 180
Find the inverse. Check your answer algebraically and graphically.
f(x) = 4x/x − 9, x ≠ 9
f^-1(x)=
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{4x}{x-9}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{4y}{y-9}}\implies xy-9x=4y\implies -9x=4y-xy \\\\\\ -9x=y(4-x)\implies \cfrac{-9x}{4-x}=y\implies \cfrac{9x}{x-4}=\stackrel{f^{-1}(x)}{y}[/tex]
how to test algebraically? well, for any (a,b) pair in f(x), its inverse will have another pair but (b,a), hmmm let's plug hmmm say
f(10) = 40, and f⁻¹(40) = 10.
we could plug more values in each, same pair will come up.
as far as testing them graphically, Check the picture below.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:(-1,-8)
Step-by-step explanation:
Answer:
(-1, -8)
step-by-step explanation:
original coordinates of A: (-1, 1)if reflected over x-axis, use the formula: (x, y) → (x, -y)
new coordinates: (-1, -1)if translated vertically, there will be change in y axis:
new coordinates: (-1, -1-7) → (-1, -8)Crackers come in packages of 24 cheese slices come in packages of 18 and he wants one cheese slice for each cracker Patrick me the statement below if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each is Patrick statement correct use numbers or words to explain why were you know if Patrick's exclamation is not correct what should he do?
Answer:
Patrick's statement is incorrect
Step-by-step explanation:
Crackers come in packages of 24
cheese slices come in packages of 18
He wants one cheese slice for each cracker
Patrick made the statement below "if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each"
Patrick's statement is incorrect
The lowest common multiple ( L. C. M) of 24 and 18 is 72
Therefore, Andy needs 72 packages of crackers and 72 packages of cheese slice so that no crackers or cheese slice will remain.
Help I forgot to study :(
Answer:
B both are proportional
Step-by-step explanation:
so i think by proportional its linear?
so the graph is linear because its a line and its a function, but for the table we first have to find the slope by using the equation
y2 - y1 / x2 - x1
(4, 1.31) and (8, 2.62) will be the points we will use
2.62 - 1.31 / 8 - 4
1.31/4
0.3275x
now i think we use a point we did not use yet sooo (16, 5.24)
we substitute
y = 0.3275x + b
5.24 = 0.3275(16) + b
5.24 = 5.24 + b
b = 0
so the equation would be
y = 0.3275x
now we check with the last point given
6.55 = 0.3275(20) ?
6.55 = 6.55
so i think the answer is both are proportional ?
If triangle PQR were similar to triangle XYZ, then which angle would correspond to angle Q?
A.) Angle X
B.) Angle Y
C.) Angle Z
Answer: B) Angle Y
Step-by-step explanation:
If we rotate the triangle PQR we will get R is correspond to X, Q is correspond to Y, and P is correspond with Z.
can someone help me i need this asap
Step-by-step explanation:
For a, you have the theorem right above.
If B is 120 then D should be 180-120=60
Since C is 90, E should be 180-90=90
Use the same theorem for b as well
P(sports U Work)= _%. The following two way table describes students after school activities. Find the probability that a randomly selected student either does sports or works
Answer: 75%
Step-by-step explanation:
20+20+25+3+2+5=75
Total of 100 students
75/100=0.75
=75%
The percentage of P(sports ∪ work) is equal to 75%.
We have given the table
we have to find the percentage of sports and work
What is the formula for the total?
Total=Work+sports
Therefore we have to add the values of work and sports
20+20+25+3+2+5=75
Total of 100 students
75/100=0.75
=75%
Therefore the percentage of P(sports ∪ work) is given by 75%.
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What should be added twice the rational number -7/3 to get 3/7 ?
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
let the required number be ' x '
Now, let's form a equation as per the question ~
[tex]\qquad \sf \dashrightarrow \: - \bigg(\dfrac{ 7}{3} \times 2 \bigg ) + x = \dfrac{3}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \: - \dfrac{ 14}{3} + x = \dfrac{3}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{3}{7} + \dfrac{14}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{9 + 98}{21} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{107}{21} [/tex]
Kamala was ordering tickets from a local theater for two different events. The first event cost $24.95 per ticket plus a $5 processing fee. The second event cost $35.75 per ticket plus a $9.95 processing fee. If Kamala purchased the same number of tickets to each event, what is the simplified expression for the total cost for both events?
Answer:
T=60.7x+5+14.95Step-by-step explanation:
let the number of tickets be x
and the number is the same for both tickets
for the first event
the cost is =24.95x+ 5
for the second event
the cost is =35.75x+ 9.95
for both events the total cost is
T=24.95x+ 5+35.75x+ 9.95
T=24.95x+35.75x+5+ 9.95
The simplified expression for the total cost for both events T=60.7x+5+14.95Joshua bought a book series at 40% the original price. The discount on the book series came out to $18 of. What was the regular price book series?
Answer:
$25.20
Step-by-step explanation:
18.00 + 40% = 25.20
Which lists all of the y-intercepts of the continuous function in the table?
(0, 0)
(–1, 0), (2, 0)
(–1, 0), (0, 0)
(–1, 0), (0, 0), (2, 0)
please the answer to question 1,2,3 and 4
Answer:
1.
x=5
y=4
2.
y=19.8
x=4.2
3.
x=16
y=70.4
4.
a=28
b=25/7
Which pairs of points tell you the relation in the graph is not a function?
pls help :)
Answer:
should be (-4,4) and (-4,-4)
Answer:
(-4,4) and (-4,-4) because a function can only have one y value for any x value.
help me please and thank you
Answer: #3: x=11
#4: x=2
Step-by-step explanation:
Riley went shopping for a new video game because of a sale. The store was offering a 50% discount. If the price on the tag was $28, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
$14
Step-by-step explanation:
28/2 = 14
Will it collect 80 half-liter bottles in a 50-liter barrel
True False
Answer:
TRUEStep-by-step explanation:
Will it collect 80 half-liter bottles in a 50-liter barrel
True False
80 half-liter = 40 liters
50 - 40 = 10 liters
the answer is TRUE
I’ll give out Brainly for helping !
Answer:
B. SSA
Step-by-step explanation:
Since segments JK and RQ are parallel, they are similar by both extending at the same angle and both segments formed by the parallel lines being proportional segments.Since the lengths of segments KZ and ZR are given, they are similar because they are proportional.Since vertical angles are always equivalent by the Vertical Angles Theorem, angles JZK and RZQ are congruentBecause we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.
I hope this helps!
A fire hydrant is 30 in. tall and casts a shadow 8 in. long. how tall is a
nearby tree that casts a shadow 4 ft long?
Using proportions, it is found that a tree that casts a shadow 4 ft long is 180 in. tall.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a fire hydrant that is 30 in. tall and casts a shadow 8 in. long. We want to find the height of a tree that casts a shadow of 4 ft = 4 x 12 = 48 inches. Hence, the rule of three is given by:
30 in - 8 in
h in - 48 in
Applying cross multiplication:
h = 48 x 30/8
h = 6 x 30.
h = 180 in.
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Find the circumference of the circle
Answer:
Formula for circumference;
C = 2πr
replace those values
C = 2 x 3.14 x 9
C = 56.52 inches, C
Answer:
The circumference would be 56.52
Step-by-step explanation:
Place your radius into the formula for circumference (C=2πr)
C = 2 × 3.14 × 9
C = 56.52
Write one solution to the inequality 7(3-x)>14. Explain your reasoning.
Answer:
x>1
Step-by-step explanation:
21-7x>14
-7x>-7
x>1
Answer:
x<1
Step-by-step explanation:
7(3-x)>14
21-7x>14
-7x>-7
x<1
An object is launched at 18.4 meters per second (m/s) from a 36.8-meter tall
platform. The equation for the object's height s at time t seconds after launch is
s(t) = -4.9t2 + 18.4t + 36.8, where s is in meters.
Answer:
Step-by-step explanation:
Given the equation for the object's height s at time t seconds after launch is
s(t) = -4.9t^2 + 18.4t + 36.8
Since are not asked what to look for, we can as well lok for the time taken for the ball to hot the ground. The ball hits the ground at when s(t) = 0. The equaton becomes:
0 = -4.9t^2 + 18.4t + 36.8
Multiply through by -10
49t^2 - 184t - 368 = 0
factorize the resulting expression
t = 18±√184²-4(49)(-386)/2(49)
t = 18±√338564+75656/78
t = 18±√414220/78
t = 18±643.599/78
t = 661.559/78
t = 8.48secs
Hence the object reaches that ground after 8.48seconds
Write a proof for the biconditional using the conditional and converse.
A triangle is equilateral if and only if all the side lengths of the triangle are equal.
Answer: see below
Step-by-step explanation:
Hypothesis (p): A triangle is equilateral
Conclusion (q): The side lengths are equal
Conditional (p → q): If a triangle is equilateral, then its side lengths are equal.
The conditional statement is TRUE
Converse (q → p): If the side lengths of a triangle are equal, then it is equilateral.
The converse statement is TRUE
Since p → q and q → p are both TRUE, then it is biconditional.
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Answer:
hahsgdhfidnrhfibfrujdbfufnrie
Step-by-step explanation:
thanks
2 friends went to see a movie. 1 friend ordered a movie ticket for $5.50 and a popcorn for $3.75. The other friend ordered a movie ticket and a drink for $3. If they wanted to split the cost evenly, around how much did each friend pay? which anseris it a piece
$6.13 a piece
$8.88 a piece
$7.95 a piece
$10.05 a pie
Answer:
$8.88
Step-by-step explanation:
5.50+5.50+3.75+3.00=17.75÷2=8.88
Answer:
Its A.
Step-by-step explanation:
Add the price up to find the total: 5.50 + 3.75 + 3 = $12.25. Since there were 2 people and they wanted to split the cost- they pay half half. So 12.25 divided by 2 is $6.12.5 but you gotta round it to get an answer hats there so you round it up to 6.13.
I don't need help I just want to see who will get it first. 5×95−2+322÷5−5+2
Answer:
405.6
have a great day!
Please rate and mark brainliest!!
Pls give me the correct answer and I will mark u as brainliest .
Answer: Total jam = 100kg
jams taken out on 2 occasions= 15 2/5kg and 12 4/5 kg
= 77/5 and 64/5
quantity of jam left in the container
= 100- (77/5 + 64/5)
=100- 141/5
= 100- 28.2
= 71.8 kg
Hope it helped u,
pls put thanks as well pls mark this as the brainliest
100 POINTS!!!!!!
Determine which function has the greater rate of change, if either.
EXPLAIN YOUR ANSWER
7 people in a town have caught an infectious virus. The number of people that are infected
increases by 15% daily. How many days until 1000 people are infected? Round to the
nearest whole day and type your answer into the box.
many days until 1000 people are infected is 105