Answer:
The perimeter of a rectangular field is 100 meters
Step-by-step explanation:
The given data of the rectangular field are;
The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²
The total cost of levelling the field, T[tex]_c[/tex] = 30,000
The length to breadth ratio of the field, L:B = 3:2
Where;
L = The length of the field
B= The breadth of the field
From the given data of the field, we have;
The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]
∴ A = 30,000/(50/m²) = 600 m²
The area of the field, A = 600 m²
The formula for the area of a rectangle, A = Length, L × Breadth, B
A = L × B
We are given that the length to breadth ratio of the field, L:B = 3:2
∴ L/B = 3/2
L = (3/2) × B
The area of the rectangular field, A = L × B
∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²
A = (3/2) × B²
From the calculation for the cost of levelling the field, we have, A = 600 m²
∴ A = (3/2) × B²
A = 600 m²
By transitive property, we have;
(3/2) × B² = 600 m²
B² = (2/3) × 600 m² = 400 m²
B = √(400 m²) = 20 m
The breadth of the field, B = 20 m
From L = (3/2) × B, we have;
L = (3/2) × B
∴ L = (3/2) × 20 m = 30 m
∴ The length of the field, L = 30 m
The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;
The perimeter of a rectangle, P = 2·L + 2·B
Therefore, for the rectangular field, we have;
P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m
The perimeter of a rectangular field, P = 100 m.
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how long would a rock that weighs 2 pounds take to fall 99 feet
Answer:
When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.
Step-by-step explanation:
f(x)= 3x^2
g(x) =7x+4
f(g(4))=____
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Answer:
34.12
Step-by-step explanation:
Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)
HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answer:
Step-by-step explanation:
4(23ft)($1.12/ft)=$103.04
Which equation represents a line which is parallel to the line 4x-5y=30
Help me please!! ;okxjda.sdfajskndmf
Answer:
133
Step-by-step explanation:
2(_9)^2=162
3(-9)=-27
2(-9)^2 +3(-9)-2= 162-27-2=133
Please does anyone know the answer to this question??
9514 1404 393
Answer:
126°
Step-by-step explanation:
To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.
(5x -6) +(3x) = 90
8x = 96 . . . . . . . . . . . add 6, collect terms
x = 12 . . . . . . . . . . . . . divide by 8
3x° = 3·12° = 36° . . . . . . find the "remote" acute angle
exterior angle = 90° +36°
exterior angle = 126°
__
The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.
SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!
Answer:
(-2,-3)
Step-by-step explanation:
A=(8,-5)
M=(3,-4)
The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.
B=(-2,-3)
Mrs. Jones bakes 100 cookies. She is going to split them into groups of 5 to sell at a bake sale. Which equation shows how many bags she will need? Use b for bags.
Answer:
100/5=b
Step-by-step explanation:
do 100 divided by 5 then that will be your answer, b
I dont know how to do this pls help me
Answer:
5) x = 0.75
6) x = 12
Step-by-step explanation:
5)
Use geometric mean of altitude
[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]
6)
Use geometric mean of legs
[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]
Consider the sequence of numbers: , , 1StartFraction 3 Over 8 EndFraction, StartFraction 3 Over 4 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 7 Over 8 EndFraction. . ., 1 , 1, . . . Which statement is a description of the sequence? The sequence is recursive, where each term is StartFraction 1 Over 4 EndFraction greater than its preceding term. The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction.. The sequence is arithmetic, where each pair of terms has a constant difference of StartFraction 3 Over 4 EndFraction. The sequence is arithmetic and can be represented by the function f(n + 1) = f(n)f of n plus 1 equals f of n plus left parenthesis StartFraction 3 Over 8 EndFraction right-parenthesis..
Answer:
The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B
Step-by-step explanation:
The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The arithmetic sequence is given below.
3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......
Convert the mixed fraction number into a fraction number. Then we have
3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......
3/8, 3/4, 9/8, 3/2, 15/8, ........
The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,
d = 3/4 - 3/8
d = 6/8 - 3/8
d = (6 - 3)/8
d = 3 / 8
The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
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What is the value of n?
What is the slope-intercept equation for this
standard form equation?
(Y-intercept needs to be positive)-
(Giving Brainliest for Correct Answer-)
6x - 3y = 12
Answer:
Y = 2x - 4
Slope is 2.
Y-intercept is -4.
Step-by-step explanation:
To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.
And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.
Or you could also rearrange the equation. . .
6x - 3y = 12.Subtract 6 from both sides. -3y = -6x + 12Divide by -3 to isolate the y. y = 2x - 4.Is 121,031 divisible by 3?
solve the system of equations by adding. check your answer.
Answer:
x+12y=40
Step-by-step explanation:
the question itself says by adding
Find value of X
Thank you
Answer:
x = 98
Step-by-step explanation:
If angle D is the center then
x + 4 = 2 × (x - 47)
x + 4 = 2x - 94
4 + 94 = 2x - x
98 = x
The product of five times p and seven times q is
Answer:
Step-by-step explanation:
(5p)(7q)=35pq
Answer:
The product of five t imes p and 7 times q is just:
5p(7q), which is 42pq
Let me know if this helps!
What is the slope of y = -4x – 3
Answer:
-4
Step-by-step explanation:
bc the equation is y=mx+b and m is y/x so -4
Please help me with this please!!
9514 1404 393
Answer:
135°
Step-by-step explanation:
In order to answer the question, we must assume that the black lines are parallel to each other.
The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.
∠2 +∠8 = 180°
15x +5x = 180°
x = 180°/20 = 9°
∠2 = 15x = 15(9°) = 135°
Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.
∠3 = 135°
3x +11+7x
Pls help I want to learn this
Answer:
3x +7x +11=10x+11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Group like terms:
=3x+7x+11
Add similar elements: 3x+7x=10x
=10x+11
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answer:
The first triangle can be solved using the triangle sum theorem.
There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.
A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.
Now the last part is to find the question mark. A straight line is 180 degrees, so 71+"?" is 180. Simplify to find that "?" is 109.
Complete the square in order to solve the following quadratic equation:
x^2 + 6x = −2
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Answer: who me?
Step-by-step explanation:
Oh sure thing. XD
im trying to help my little brother with his homework and I don't remember how to convert 54 to 5/4
Answer:
divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.
Step-by-step explanation:
divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.
What is the measure of ZC? *
Answer:
∠ C = 70°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles to obtain ∠ C , that is
∠ C = 180° - (70 + 40)° = 180° - 110° = 70°
A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?
Answer:
3,840
Step-by-step explanation:
Answer:
The volume is 3840
Step-by-step explanation:
12 times 16 times 20. L x W x H
What is the volume of the prisms below?
What equation would you use for the last picture?
Answer:
8) 131.118in^3
9) 18cm^3
Step-by-step explanation:
8) Volume of the prism = Length * Width * height
Volume of the prism = 4.1in * 8.2in * 3.9in
Volume of the prism = 131.118in^3
Hence the volume of soil that will fill the prism is 131.118in^3
9) Volume of the triangular prism = Base Area * Height of prism
Base Area = 1/2bh
Base Area = 1/2 * 4 * 3
Base Area = 6cm^2
Height of the prism = 3cm
Volume of the prism = 6cm^2 * 3cm
Volume of the prism = 18cm^3
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
which value of x is a solution of 8> (x-6)-2
Answer:
The answer is x < 16.
Step-by-step explanation:
1) Remove parentheses.
[tex]8 > x - 6 - 2[/tex]
2) Simplify x - 6 - 2 to x - 8.
[tex]8 > x - 8[/tex]
3) Add 8 to both sides.
[tex]8 + 8 > x[/tex]
4) Simplify 8 + 8 to 16.
[tex]16 > x[/tex]
4) Switch sides.
[tex]x < 16[/tex]
Therefor, the answer is x > 16.