Step-by-step explanation:
since the pond is circular, its area will be πr².
a= πr², where r= 7ft
1 m ≈ 3.2808 ft
3.2808 ft ≈ 1 m
1 ft = 1/3.2808
7 ft = 1/3.2808 * 7
= 2.13362.. m
a= πr²
a= 3.14 * ( 2.13362...)2
a= 3.14 * 4.5523596...
a= 14.2944..
a= 10.0 m² (rounded to nearest tenth)
is the question right?
Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.
How to find the area of a circular shaped object?Area of that circular shaped object with radius r units is given by:
[tex]A = \pi \times r^2 \: \rm unit^2[/tex]
For the given case, we've got a circular pond with a radius of 7 ft.
Since 1 m ≈ 3.2808 ft, thus,
dividing both the sides by 3.2808, we get
[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]
Therefore, the radius of the considered circular pond is approximately 2.1336 meters.
Using the formula for area of circle to find the area of circular pond, we get:
[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]
14.294 rounded to nearest hundredth would be 14.29
(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th place).
Thus, the area of the circular pond in consideration is 14.29 square meters approximately.
Learn more about area of circle here:
https://brainly.com/question/13004063
please help, quick, this is my last question
Answer:
5/2 I think bec a was moved to 1/1 before it was 6/3
video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
the third part lol helppppppppppppppppppppppppppppppppppppppppp
answer:
n = [tex]-\frac{3}{2}[/tex]Explanation:
→ [tex]4(n+10) = 34[/tex]
→ [tex]\frac{4(n+10)}{4} = \frac{34}{4}[/tex]
→ n + 10 = [tex]\frac{17}{2}[/tex]
→ n = [tex]\frac{17}{2} -10[/tex]
→ n = [tex]\frac{17-20}{2}[/tex]
→ n = [tex]\frac{-3}{2}[/tex]
Answer:
[tex]\sf n=\dfrac{-3}{2}[/tex]
Step-by-step explanation:
Given equation: 4(n + 10) = 34
Step 1: Expand the expression.
[tex]\sf \implies \boldsymbol{\sf 4(n + 10)} = 34[/tex]
[tex]\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34[/tex]
[tex]\sf \implies 4n + 40 = 34[/tex]
Step 2: Subtract [tex]\sf 40[/tex] from both sides and combine like terms.
[tex]\sf \implies 4n + 40 - 40 = 34 - 40[/tex]
[tex]\sf \implies 4n = -6[/tex]
Step 3: Isolate the variable ([tex]\sf n[/tex]) (simply if necessary).
[tex]\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}[/tex]
[tex]\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}[/tex]
Marshall scored 80 on his first quiz and 70 on his second quiz. What was the percent of decrease in his scores?
Answer:
12.5% Decrease
Step-by-step explanation:
(10/80)*100
On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%
Answer:
answer is c
Step-by-step explanation:
i know
I need an explanation on how to work this out
Evaluate the expression rs + 14s when r = 6 and s = 1/4.
Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5
Which expression Is equivalent to x^2+10x+24
Answer:
(x+4)(x+6)
Step-by-step explanation:
First we factorise:
x²+4x+6x+24
x(x+4)+6(x+4)
(x+4)(x+6)
So the last one is equivalent
Answer:
(x+4)(x+6)
Step-by-step explanation:
How many composite numbers are between 1 and 100?
Answer:
74 is the answer to your question.
Hope this helps!
Step-by-step explanation:
74 is the answer to your question
Help please thank you.
Step-by-step explanation:
13b. Ariel is a customer.
14a. Obeying traffic rules saves lives.
15c. Mr. Aries is a lawmaker.
Calculate the following problem
what is 24 plus 12 minus 53 plus 100 and the divide it by 2
Answer:
33
Step-by-step explanation:
Answer:
(4.5)
Step-by-step explanation:
i hope its help
brainliest me
#CARRYONLEARNING
use solve for θ and round to the nearest tenth
1) sinθ=0.99
2) tanθ=0.27
3) cosθ=0.39
4) tanθ=0.87
5) sinθ=0.08
Answer:
2 tan0 have fun hope it helps you
Step-by-step explanation:
chvfghcc
What is the first step in solving 31 + 2 - 8(3)
Answer:
[tex]31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9[/tex]
# be careful#
Answer:
Multiply 8x3
Step-by-step explanation:
Orders of operations state that parenthesis should be the first step in solving an equation
P-parenthesis
E-exponents
M- multiplication
D-division
A- addition
S- subtraction
When a figure rotates around a point, this point is called the
Answer:
A image
B. origin
C. graph
D. center of rotation
Answer:
Your answer is D. center of rotation!
Step-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.
Brainliest to whoever can answer this question the best + 50 pts.
Solve the system of linear equations BY ELIMINATION. Show a step-by-step process.
3x - 2y = -2
5x - 3y = -4
[tex]\\ \tt\hookrightarrow 15x-10y=-10--(3)[/tex]
[tex]\\ \tt\hookrightarrow 15x-9y=-12--(4)[/tex]
Subtracting
[tex]\\ \tt\hookrightarrow -y=+2[/tex]
[tex]\\ \tt\hookrightarrow y=-2[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 3x+4=-2[/tex]
[tex]\\ \tt\hookrightarrow x=-2[/tex]
Answer:
x = -2 and y = -2
Explanation:
Given equations:
3x - 2y = -2
5x - 3y = -4
---------------------
Make the value before y equal:
( 3x - 2y = -2 ) * 3
9x - 6y = -6 .........equation 1
( 5x - 3y = -4 ) * 2
10x - 6y = -8 ...........equation 2
solve them by elimination:
10x - 6y = -8
-9x + 6y = +6
----------------------
x = -2
If x is -2
Then y:
10x - 6y = -8 .................from equation 2
-6y = -8-10x
y = [-8 - 10(-2)]/-6
y = -2
Factor: 10m^3 + 12m^2-35m -42
we are doing factoring trinomials and factor by grouping
Answer:
( 5m + 6 ) ( 2m² - 7 )
Step-by-step explanation:
please refer the image
Pls pls pls pls pls pls help me I’ll help you
Answer:
minimum of -3
Step-by-step explanation:
Because that is the lowest point on the graph
Which inequality correctly represents the expression? The quotient of k and 9 is less than 1.
Find the slop of the line in the graph
Answer:
2y and -3x
Step-by-step explanation:
y3-1
/
-x2-x1
Find m CF
44
D
5
-52
Answer:
Step-by-step explanation:
Answer:
148°
Step-by-step explanation:
The external angle at E is half the difference of the measures of arcs FD and FC.
(CF -44°)/2 = 52°
CF -44° = 104° . . . . multiply by 2
CF = 148° . . . . . . . . add 44°
The measure of arc CF is 148°.
will deposited $1550 in an account that pays 8% annually. How much would be in the account at the end of 24 months?
Answer:
$1798
Step-by-step explanation:
You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798
what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6
5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer
counts 34 legs on these animals. How many of each type of animal does the farmer
have? (See #7 in Notes)
t-turkey
p-Pigs
Answer:
2 pigs, 13 turkeys
Step-by-step explanation:
34=2t+4p (equation for legs)
t+p=15 (equation for total # of animals) --> t=15-p
substitution:
34=2(15-p)+4p
p=2
plug back in to other equation
t=15-(2)
t= 13
Solution to the inequality 3x<0
Answer:
the inequality form is x<0
Step-by-step explanation:
you would divide both sides by 3 And then simplify
What is the equation of the line?
Answer: 5x + 4y - 6 = 0
Step-by-step explanation:
Find the slope of the line by finding 2 points that are on the line
(-2,4) and (2,-1)
(4--1)/(-2-2) = 5/-4
y = -5x/4 + c
Substitute (2,-1)
-1 = -10/4 + c
6/4 = c
So the equation is y = (6-5x)/4
4y = 6-5x
5x + 4y - 6 = 0
(Side note: So many people are asking about line equations)
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters?
Answer:
14.84 is the answer
Step-by-ste14.84 is the answerp explanation:
14.84 is the answer
Write the equation of the given line in slope-intercept form:
Answer:
y=-3x - 1
Step-by-step explanation:
Rosenfeld enjoys a delicious meal at BJs, and the bill comes back at $24.50. The service was amazing, so she wants to leave a 25% tip. How much do you pay total (bill and tip together)?
Answer:
30.62
Step-by-step explanation:
24.50 x .25 = 6.12
24.50 + 6.12 = 30.62
NEED HELP ASAP DUE SOON!!!!
Answer:
Step-by-step explanation:
We can easily get 'a' in the equation by setting x to zero which will get rid of the b variable leaving us with:
a = 2
Now for b, we know the second point is (1,6), so let's plug it into the function
6 = 2 * b^1
b = 3
Thus the function is [tex]y = 2*3^{x}[/tex]
Hope that helps!
Members of a lacrosse team raised $1793.50 to go to a tournament. They rented a bus for $757.50 and budgeted $64.75 per player for meals. Write and solve an equation which can be used to determine
x
x, the number of players the team can bring to the tournament.
Answer:
They can bring 16 students to the tournament
Step-by-step explanation:
$1793.50 - $757.50 = 1063
$1063 / $64.75 = 16
Answer:
16 students
Step-by-step explanation:
Hello :)
This question gave us a flat charge of 757.50 dollars for the bus, which means it does not depend how many members of the lacrosse team ride the bus.
However, the meals cost 64.75 per member.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 1783.50, so the equation would be:
1793.50=64.75x+757.50 where x=the number of players the team can bring to the tournament without going outside of their budget
Let's solve now.
1793.50=64.75x+757.50
-757.50 -757.50
1036=64.75x
x=16
approximate the square root of 110
Answer:
10.4880885 or 10.5
Step-by-step explanation:
The square root of 110 is a decimal ... 10.4880885
If we round up it will be 10.5
Answer:
10.488 to nearest thousandths
Step-by-step explanation:
If you mean using a calculator, sqrt(110) is approximately 10.488.
If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)