A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Step-by-step explanation:
given,
length = 100 m
breadth = 60 m
we know,
area = l × b
now,
100 × 60 = 6000 m
therefore, area of rectangular field is 6,000 m.
and for both the semicircle if we add both the semicircle we will get a complete circle.
as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m
we know,
Area = πr²
now,
→ 3.14 × 30²
→ 3.14 × 900
→ 2826 m
so,
area of rectangle + area of circle = area of the training field.
→ 6000 + 2826 = 8826.
therefore, area of training field is 8,826 m.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
8826 m²
Step-by-step explanation:
The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )
area = area of rectangle + area of circle
= lb + πr² ( r = 60 ÷ 2 = 30 )
= (100 × 60) + (3.14 × 30²)
= 6000 + (3.14 × 900)
= 6000 + 2826
= 8826 m²
Related Questions
please help with this algebra ii question
Answers
Answer:
Second Choice
Step-by-step explanation:
The vertex form can be expressed as:
[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]
We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:
[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]
Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.
[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]
Therefore a = 2.
Hence:-
[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]
what is 3,936.58 rounded to the nearest 1,000
Answers
Answer:
936.58
Step-by-step explanation:
9р - Зр equivalent expression
Answers
Answer:
6p
Step-by-step explanation:
9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.
(7x)(2xy) how do I rewrite that as a sum
Answers
Heyyyyy help mee please
Answers
round to the nearest ten 7096.88
Answers
The sum of two numbers, x and y, is 12. The difference of four times the larger number and two times the smaller number is 18. Which system of equations should you use to find the two numbers?
Answers
Answer:
4x – 2y = 18
Step-by-step explanation:
Hope this helps!
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
Answers
Factor completely. 81 p 8 − 100 =
Answers
Answer:
Step-by-step explanation:
[tex]81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\[/tex]
Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.
---Round answers to nearest cent
Answers
Answer:
See belowStep-by-step explanation:
Given:
Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055a. compounded semiannually, n = 2
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]b. compounded quarterly, n = 4
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]c. compounded monthly, n = 12
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]d. compounded continuously
[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.
Answers
Answer:
Step-by-step explanation:
the lengths of the line segments
Find the odd one out
1. 33
2. 57
3. 79
4. 13
5. 93
6. 52
Answers
Answer:
52
Step-by-step explanation:
All of these are odd numbers 52 isn't not a odd number so it doesn't belong...
What is the equation in point slope form for a linear function with a slope of m = -4 that passes through the
point (2,- 7)?
Answers
The equation for point slope form is
y - y1 = m(x - x1) where m represents the slope.
It coordinates and slope are given, they just need to be plugged into the equation.
y - (-7) = -4(x - 2)
Subtracting a negative can be written as adding a positive, so the equation can be simplified as:
y + 7 = -4(x - 2)
HELP!!!! PLEASE URGENT!!! IM BEING TIMED!!! thank you
Answers
How to solve 589 divided by 41
Answers
Answer:
14.365
Step-by-step explanation:
do long division or put it in a calculator
Which of the following algebraic expressions will translate “the sum of eight and twice w”?
A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.
Answers
d
8+2x is the correct answer
Please answer. Don't spam!
Answers
Hello Gumiho!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Find the distance.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Refer to the attached picture for the steps.
Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]
__________________
Hope it'll help you!
ℓu¢αzz ッ
what is 2 over 5 + 3 over 7=
Answers
Answer:
[tex]\frac{29}{35}[/tex] Is correct answer
Step-by-step explanation:
Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.
Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.
Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.
Step 2: Since our denominators match, we can add the numerators.
14 + 15 = 29
That gives us an answer of = [tex]\frac{29}{35}[/tex]
In pic
(Hope this helps can I pls have brainlist (crown)☺️
Seven large hamburgers are shared equally among twelve people at a dinner. Which of the following shows the amount of a hamburger that each person eats?
Answers
cut 6 into half's and spit the last into 7th's
What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.
Point 1 = (0, -2)
Point 2 = (-2, 0)
Slope-Formula: (y2 - y1) / (x2 - x1)
Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.
(0 - - 2) / (-2 - 0)
(2) / (-2)
-1
The slope of the line is -1.
Hope this helps!! :)
Answer: -1
Step-by-step explanation:
-6/6= -1
Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.
Answers
Step-by-step explanation:
Evaluate:
-[-1⅘ ÷ 0.3(1.2)] - 5/6
⇛-[- 20/5 ÷ 0.3(1.2)]-5/6
⇛- [-20/5 ÷ 0.36] - 5/6
⇛-[-20/5 ÷ 36/100] - 5/6
Here I have changed in expression decimal point into fraction by putting 100 in Denominator.
⇛-[-20/5 × 100/36] - 5/6
⇛-[(-20 × 100)/(5×36)] - 5/6
⇛-[-2000/180]-5/6
Remember (-) × (-) = +.
⇛2000/180 - 5/6
Now, LCM of the denominator 6 and 180 is 180.
⇛(2000 - 150)/180
⇛1850/180
Now, reduce the fraction by extracting and cancaling out by 2.
⇛825/80
Again reduce the fraction by extracting and cancaling out by 5.
⇛165/16 Ans.
Hope this helps!!
What are the terms in the expression 2d + 7 + 5f?
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answers
Answer: 2d, 7, and 5f
Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."
A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.
Answers
Basically let's represent the number of girls with x.
There are 6 more boys than girls, so x+6
Let's sum it all up
x+x+6=40
Collect like terms;
2x+6=40
2x=40-6
2x= 34
Divide both sides by 2
x=17
17+6=23
Therefore there are 17 girls in the class and 23 boys.
please mark Brainliest.
Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference
b. What would be a30
Answers
Answer:
65
Step-by-step explanation:
a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence
b. in this case, a = 7 and d =2
the equation would be a30 = 7 + (30-1)2
solving this gives us 65
PLS PLS PLS HELP ME ILL GIVE 20 points.
Answers
Answer:
if you want to know the x is.
Step-by-step explanation:
(180°－4x)+(180°－6x)+2x=180°
x=22.5°
5.5 minutes = 330 seconds
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
330 Seconds = 5.5 Minutes = 5 Minutes and 30 Seconds
Answer:
False :-
Step-by-step explanation:
5 mins = 300 secs
Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment
Answers
Answer:
0.0003
Step-by-step explanation:
What is the equation of the following line be sure to scroll down first to see all answer options
Answers
Answer:
b
Step-by-step explanation:
mark me as brainliest have a great day
Just pleasssssssssss help me.
Answers
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
3/14, 2/7, 1/2
1st you would need to find a common denominator which would be 14.
3/14 =3/14
1/2 = 7/14
2/7 = 4/14
Then you can compare them easier and see that the order is 3/14, 2/7, 1/2
Hope this helps :D
8. Solve the system. (1 point)
x+y=5
-2x+4y=8
Answers
Step-by-step explanation:
multiply the first equation by 2 and then add both equations.
2x + 2y = 10
-2x + 4y = 8
---------------------
0 + 6y = 18
y = 3
x + y = 5
x + 3 = 5
x = 2