Answer:
-288a(squared)b
Step-by-step explanation:
Just plug it into a calculator :)
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1500 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions
Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
[tex]A=(1500-2y)y\\\\A=1500y-2y^2[/tex] .....(3)
For largest area, differentiate above area equation wrt y.
[tex]\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375[/tex]
Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).
[tex]A =1500(375)-2(375)^2\\A=281250\ m^2[/tex]
Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.
Please give me the correct answer
Help me please don’t lie to me
Answer:
1. yes
2. no
Step-by-step explanation:
1. 3x - 4y ≥ 18
3(2) - 4(-3) = 6 + 12 =18
18≥18 this is a solution
2. 4x + y < 0
4(1) + (-4) = 4 - 4 = 0
0 equals 0, 0 cannot be less than 0, they are the same
xoxo, your highness...Find the commission.
Earning Commission
Sales Commision Rate Commission
$750
9%
?
The commission is $
Answer:
The commission would be $67.50.
Answer:
$67.50
Step-by-step explanation:
commission amount = sale price * commission percentage / 100
Use the formulas to generate a Pythagorean Triple with x = 8 and y = 3.
A squared+b squared=c squared
5 squared+2 squared=c squared
25+4=29
The square root of 29 is C.
The order would be 2, 5, the square root of 29
(Hope this helped! If u dont mind, can u mabey give brainliest to me? <3)
Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.
What are Pythagorean triples?Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, x=8 and y=3.
The formula is (x²+ y²)²= (x² - y²)² + (2xy)²
Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²
(64+9)²=(64-9)² +(48)²
73²=55²+48²
5329=5329
Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.
Learn more about the Pythagorean triple here:
https://brainly.com/question/15190643.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?
A local store has a puppy that weighs 88 ounces. How many pounds does the puppy weigh given that 1 pound = 16 ounces?
Divide 88 by 16
88/16 = 5.5
It weighs 5.5 pounds
Answer:
5.5
Step-by-step explanation:
if you divide 88 ounces by 16 it will give yout he answer of 5.5.
88/16 = 5.5
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
how many minutes is 40% of 120 minutes?
Answer:
48 mins
Step-by-step explanation:
40 x 120 /100
= 48
What’s 1/2 divided by 6 plz help
Answer:
3
Step-by-step explanation:
Because .5÷6=3
and .5 is 1/2 as a decimal
PLEASE HELP! IMAGE ATTACHED
Please help!! I just need help with question 40!!
Answer:
a. 70%
b. 6 more times
c. subtract from 100% with percentages, subtract from 1 with decimals.
Step-by-step explanation:
a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26% 0.04 > 4%
Add all of the percentages together to get 70%
b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.
0.26 ÷ 0.04
26 ÷ 4
6
c. 14% + 26% + 40% + 4% = 84%
100% - 84%
16%
(do the same thing with decimals and pick your favorite method)
:)
[tex]4 - \frac{2}{3} x = \frac{x - 6 }{5} [/tex]
Answer:
Step-by-step explanation:
60-10x=3x-18
78=13x
x=6
the amount of sod needed to cover the circular green on a golf course?
Answer:
you would need just over 261 pounds of seed for 1 acre.
Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.
Geometry homework. Please help.
Answer: Sure
Step-by-step explanation:
Step-by-step explanation:
✬ Radius = 2.5 cm ✬
Step-by-step explanation:
Given:
Radius of spherical ball is 3 cm.
Radii of new spherical balls are 1.5 cm and 2 cm.
To Find:
Radius of third spherical ball ?
Solution : Let the radius of third spherical ball be x cm.
If something is melted and recasted into another thing then their volumes will be equal. In short
Volume of 1st thing = Volume of second one.
➯ Let's see here
Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.
As we know that
★ Volume of Sphere = 4/3πr³ ★
[ Taking big spherical ball ]
Radius = 3 cm
⟹ Volume = 4/3 × π × (3)³
⟹ 4π/3 × 27
Volume we got = 4π/3 × 27 cm³
[ Taking 3 small spherical balls ]
Radius of first ball (r¹) = 1.5 cm
For second (R) = 2 cm
For third (x) = x cm
Volume = 4/3 × π( sum cubes of radii)
⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)
⟹ 4π/3 (3.375 + 8 + x³)
⟹ 4π/3 ( 11.375 + x³)
Volume we got = 4π/3 (11.375 + x³) cm³
A/q
First volume = Second volume
➮ 4π/3 × 27 = 4π/3 (11.375 + x³)
➮ 27 = 11.375 + x³
➮ 27 – 11.375 = x³
➮ 15.625 = x³
➮ 15625/1000 = x³
➮ 3125/200 = 625/40 = 125/8 = x³
➮ ³√125/8 = x³
➮ 5/2 = x²
➮ 2.5 cm = x
Hence, the measure of radius of third spherical ball is 2.5 cm.
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?
Answer:
$225,000
Step-by-step explanation:
Step-by-step explanation:
To calculate the percentage change we will apply the formula:
p= N-O/O *100
p is the increased percentage
N is the current value
O is the old value.
Substitute the values in the formula:
36 = 306,000 - O/O *100
Divide both the sides by 100
36/100 = 306,000 - O/O *100/100
36/100 = 306,000 - O/O
Now multiply O at both sides
36/100 * O = 306,000-O/O * O
At R.H.S O will be cancelled by O
At L.H.S 36/ 100 = 0.36
0.36 O= 306,000-O
Combine the like terms:
0.36 O+O =306,000
1.36 O = 306,000
Divide both the terms by 1.36
1.36 O/ 1.36 = 306,000/1.36
O= $225,000
Therefore when the house was purchased its value was $225,000....
QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2
Does anyone know the answer to this question
A computer manufacturer has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by where x is the number of days since the start of the job. Find the expenditure if the job takes 8 days.
Answer:
The expenditure would be $ 8600
Step-by-step explanation:
If the cost is given by the function
C(x)= 10x + 6 where x is the number of days
The cost for 1 day would be
C(1)= 16 *100 = 1600 $ ( the expenses are in hundreds of dollars)
Then Putting x= 8 in the given equation we get
C(8)= 10(8) + 6
= 86
Multiplying 86 by 100 because expenditure rate per day is in hundreds of dollars
The expenditure would be $ 8600
Which of the fractions is equivalent to 2/5 ?
5/2
4/25
12/15
4/10
Answer:
4/10
Step-by-step explanation:
4/10 simplifies to 2/5
4/2 = 2
10/2 = 5
please help solve this.
Find the values of the variables in each right triangle.
Answer:
x = 12
y = 16
Step-by-step explanation:
Use the Pythagoras Theorem on the left triangle.
[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(x)^2=(7.2)^2+(9.6)^2\\x^2=51.84+92.16\\x^2=144\\x=\sqrt{144}\\x=12\\[/tex]
Now use the Pythagoras Theorem on the right triangle.
[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(y)^2=(12.8)^2+(9.6)^2\\y^2=163.84+92.16\\y^2=256\\y=\sqrt{256}\\y=16\\[/tex]
Which is greater 0.691 or 3.5
Answer:
3.5 is greater
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
it is known as common sense
draw a graph for 4,16 ; 6,36 ; 8,64 ; 10,100 points
Answer:
tyyyyy for free points have a great day
So how do I graph y=2/5x+3
If x2 = 10, what is the value of x?
Answer:
The value of x is 5
Step-by-step explanation:
5 x 2 = 10
x= ±[tex]\sqrt{10} =[/tex] ± 3.1623
simplifyied~x = 5
The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the map . What is the actual distance between the two cities?
Can someone please help me with this question I don’t understand it. Thank you
Answer:
it is 862.5
Step-by-step explanation:
each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?
Show your work plssss
Answer:
I7.
Step-by-step explanation:
at r = 13,
r + 4 = 13 + 4 = 17
Is this correct??? Someone please help
Answer:
the line is inconsistent:)
Step-by-step explanation:
In 21 ÷ 7 = 3, the quotient is _____.
A 3
C 7
D 21