Answer: 8100 cm2
Step-by-step explanation:
First find radius
Area of semi circle = Pi*r2 / 2
7700 = 22/7 * r2/2
r2 = 7700 * 7 * 2 / 22
r2 = 700 * 7
r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)
r = 7 x 10
r = 70 cm
Perimeter = r(Pi + 2)
= 70 ( 22/7 + 14/7)
= 70 * 36/7
= 360 cm
Let us take side of square as “x”
4x = 360
x = 360 / 4
x = 90
Area of square = side * side
= 90 * 90
= 8100 cm2
A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.
The area of the enclosed square wire is 3025 square meters
The given parameters are:
[tex]\mathbf{Area= 7700cm^2}[/tex]
The area of a semicircle is
[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]
Substitute 7700 for Area
[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]
Express pi as 22/7
[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]
Divide through by 22
[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]
Multiply both sides by 14
[tex]\mathbf{r^2 = 4900}[/tex]
Take square roots of both sides
[tex]\mathbf{r = 70}[/tex]
Next, calculate the circumference of the semicircle
[tex]\mathbf{C = \pi r}[/tex]
So, we have:
[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]
[tex]\mathbf{C = 220}[/tex]
This means that the length of the wire is 220 meters.
This also represents the perimeter of the square.
The perimeter of the square is calculated using:
[tex]\mathbf{P = 4L}[/tex]
Where L represents the side length
So, we have:
[tex]\mathbf{4L = 220}[/tex]
Divide both sides by 4
[tex]\mathbf{L = 55}[/tex]
The area of the enclosed square is then calculated using:
[tex]\mathbf{Area = L^2}[/tex]
So, we have:
[tex]\mathbf{Area = 55^2}[/tex]
Evaluate the square
[tex]\mathbf{Area = 3025}[/tex]
Hence, the area of the enclosed square wire is 3025 square meters
Read more about areas at:
https://brainly.com/question/17091819
Write an equation representing how much Keith paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
Step-by-step explanation:
Please help. Been stuck on this for days.
Answer:
At least 8.333 km/hr
Step-by-step explanation:
Using the inequality setup, we have
5/r + 1.25 + .75 + .9 ≤ 3.5
5/r ≤ .6
5 ≤ .6r
r ≥ 25/3 = 8.333
the price of a pair of shoes increases from $58 to $61 What is the percent increase to the nearest percent?
please help I will mark brainliest
Answer:
23.08
Step-by-step explanation:
Simplify 38 - 32
-
A. 34
B. 36
c. 310
D. 3-6
Answer:
38 - 32 = 6
Step-by-step explanation:
subtract the question
easy one for you folks.
Answer:
if its easy do it
Step-by-step explanation:
Answer:
7.5/15 or something because yes
a man earn $6 in two hours. how much does he earn in 5 hours
Answer:
$15
Step-by-step explanation:
6 divided by 2 is 3
3 multiplied by 5 is 15
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
Please help!!
Answer:
w = 2x^2-2x+15
Step-by-step explanation:
Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:
6x^2-2x+14 = 2(x^2-x+8) + 2w
Then, distribute the 2 to everything inside the parentheses.
6x^2-2x+14 = 2x^2-2x+16 + 2w
Subtract 2x^2-2x+16 from both sides, leaving you:
4x^2-4x+30 = 2w
Divide 2 from both sides.
2x^2-2x+15
The answer is 2x^2-2x+15
simplify the expression.
20a^4 × (1/2 a^3 )^2
Answer:
5a^10
Step-by-step explanation:
is 5,7,9 a pythagorem theorem? pls help me due rn
Answer:
No
Step-by-step explanation:
a^2+b^2=c^2
5^2= 25
7^2 = 49
25+49=74
square root of 74 does not equal 9
Answer:
No.
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
5²+7²=9²
5²=25, 7²=49, 9²=81
25+49 does not equal 81.
5x-4=9x+6 please put explanation
Select the function that is odd.
A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)
Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.
d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1
Can you help me with my work select the best estimate of the product of 18*31 =
What is Arithmetic ?
Answer:
Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Answer:
The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPP!!!
Answer:
6 years
Step-by-step explanation:
5% of 1000 is 50
1. $1050
2. $1100
3. $1150
4. $1200
5. $1250
6. $1300
HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!
Answer:
nahhhh why did you report me I did nun wrong
Step-by-step explanation:
A recipe calls for
23
cup of sugar for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar?
Answer:
.....
Step-by-step explanation:
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
i have to explained it in words pls help
9514 1404 393
Answer:
slope: cost per miley-intercept: fixed base costStep-by-step explanation:
The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.
When the number of miles driven is zero, the rental cost is ...
y = 2.25×0 +70
y = 70
The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.
__
If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)
Find the perimeter. Simplify your answer.
Answer:
wild guess, 50
Step-by-step explanation:
10s+3+10s+3+3s+9+3s+9= 50
what is rt5 x rt3
yeah do that plz
Answer:
3(2r+1)
Step-by-step explanation:
5r+1 is 6
Then you factor out 3 and get 3(2r+1)
Find the range of the following group of numbers: 1, -8, -10, 11, 19
Tn=n²−n+4
whtatagtaatta
Answer:
T=n-1+4/n
n=(n^2-n+4)/T
Step-by-step explanation:
T=n-1+4/n
n=(n^2-n+4)/T
what number is 12% of 315
Answer:
12% of 315 is 37.8 :) Tag me if I'm wrong
Answer:
x = 37.80
Step-by-step explanation:
The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.
The given statement, "What number is 12% of 315" can be expressed algebraically as:
x = 0.12 × 315.
x = 37.80
Therefore, 37.80 is 12% of 315.
A circle is divided into equal parts. An angle turns through one of the parts, as
shown below. Which equation shows a way to find the measure of the angle?
Answer:
1/6 = 60/360
Step-by-step explanation:
The circle is split into 6 parts and a circle equals 360°
1/6 = x/360
Cross Multiply...
6x = 360
Divide to isolate x...
x = 60
The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A circle is divided into equal parts. An angle turns through one of the parts, as shown below.
Then the equation shows a way to get the measure of the angle that will be
The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.
Let x be the angle of each section.
Then the ratio of the area of the complete circle and one-sixth circle. Then we have
A₁ = 6A₂
Then we have
A₂ / A₁ = [(x/360) πr²] / [πr²]
A₂ / 6A₂ = x / 360
1 / 6 = x / 360
Then the value of x will be
x = 60°
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
For each gallon of gas Sean puts in his truck, the truck will go $\frac{8}{3}$ miles. Suppose Sean's tank is empty, and he puts in $\frac{7}{5}$ gallons. How far can Sean go with his truck?
Answer:
56/15
Step-by-step explanation:
All we have to do is 8/3 x 7/5 and 8x7 is 56,5x3 is 15
So the answer is 56/15.
Answer:
56/15
Step-by-step explanation:
Megan spent half of her paycheck on an iPad. Over the weekend she earned $12 from babysitting. If she has $514.50 now. Write and equation and solve to find out how much was her paycheck
phân tích đa thức x^3 - x thành phân tử
Answer:
1
Step-by-step explanation:
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
need help with homework please help asp
Answer:
The answer for this particular question is (5,-8)