An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.
a. Write a formula for the perimeter of the indoor track
P=
b. Solve the formula for x.
x=
c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round to the nearest foot.
x=____feet
Answers
Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
Related Questions
Solve and show your work. Plz :)
Answers
Answer:
≠
Step-by-step explanation:
4[6(2+3)] _____ 125 - 5 * 1
4[6(5)] _____ 125 - 5 * 1
4[30] _____ 125 - 5 * 1
120 _____ 125 - 5 * 1
120 _____ 125 - 6
120 _____ 119
120 ≠ 119
Answer:
119.9
Step-by-step explanation:
Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?
Answers
Answer:
7
Step-by-step explanation:
let sanjeevs no of oranges be x
rajeevs no of oranges=3x
total=4x=28
x=28/4
=7
sanjeevs oranges=7
while rajeevs oranges=3*7
=21
There were 52 problems on Petunia's last math test. She got
one-fourth of them wrong. How many questions did she get right?
Answers
Answer:13
Step-by-step explanation:
Identify the range of the function shown in this graph
Answers
Answer:
[tex]0 \leqslant y \leqslant 5[/tex]
Express 48^(1/4) in simplest radical form.
Answers
Answer:
[tex]2\sqrt[4]{3}[/tex]
Step-by-step explanation:
[tex]48^\frac{1}{4} = \sqrt[4]{48}[/tex]
Expanding [tex]\sqrt[4]{48}[/tex] gives [tex]\sqrt[4]{2*2*2*2*3}[/tex] which is equal to [tex]2\sqrt[4]{3}[/tex]
Explain why this is not a function
Answers
Answer:
Because a range cannot have more than one domain number
Step-by-step explanation:
17 is in the domain twice
when you have an equation the the result of multiple property's, can all the property's be in one equation?
Answers
Answer:
Step-by-step explanation:
5x - 3 = 2(x +2)^2
Don't try this. It is a double ugly equation. But you can see that you use the power property. You use the distributive property. You use addition and subtraction and division and multiplication to solve it.
f(x) = 2x and h(x) = 2x^2;Find f • h(3)
Answers
Answer:
36
Step-by-step explanation:
start by finding x for h(x)
2(3)^2
18
f(x) = 2(18)
36
Evaluate the function f(x) = 3 - 6x, when x=0.
a -3
b 0
c 3
d -57
Answers
Answer:
C
Step-by-step explanation:
f(0)= 3 - 6 (0)
f(0)= 3 - 0
f(0)= 3
A class has 30 boys and 20 girls. The average age of
boys is 11 yrs and girls 12 What is the
average age of the whole class."
Answers
x = total age of boys
x / 30 = 11yrs
Multiply both sides by 30
x = 330
y = total age of girls
y / 20 = 12
Multiply both sides by 20
y = 240
(240 + 330) / 50 = 11.4 yrs
The average age of the whole class = 11.4 years.
A class has 30 boys and 20 girls.
The average age of boys and girls is 11 and 12 respectively.
To Find:The average age of the whole class.
Solution:Boys = No. of boys × Age
Boys = 30 × 11 = 330
Girls = No. of girls × Age
Girls = 20 × 12 = 240
Average Age = Boys + Girls / Total no. of boys and girls
Average Age = 330 + 240 / 50
Average Age = 570 / 50
Average Age = 11.4
Answer:Average age of of the whole class is 11.4 .
SOMEONE PLEASE HELP ME QUESTION 5 2 PARTS IN THE PICTURE!!!!!
Answers
Answer:
x ≥ 6; see below for a graph
Step-by-step explanation:
First inequality
7x -6 > 8
7x > 14 . . . . . . add 6
x > 2 . . . . . . . .divide by 7
Second inequality
3x+4 ≥ 22
3x ≥ 18 . . . . . . subtract 4
x ≥ 6 . . . . . . . . divide by 3
The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)
The solution to the inequalities is x ≥ 6.
__
Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.
Draw the graph of y= 2 - 1/2x
(Straight Line graphs)
Answers
Answer:
Slope: [tex]-\frac{1}{2}[/tex]
y-intercept: [tex](0,2)[/tex]
Look below for graph.
Step-by-step explanation:
[tex]y=2-\frac{1}{2}x\\y=\frac{-1}{2}x+2[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3
Answers
2x - 4y + 7x - 87
Helppp
Answers
Answer:
9x-4y-87
Step-by-step explanation:
2x-4y+7x-87
9x-4y-87
Answer:
9x-4y-87
Step-by-step explanation:
7x+2x=9x
-4y has no similar variable
-87 has no similar variable
therefore the answer is 9x-4y-87
Si una pulgada equivale a 2,54cm, ¿Cuantas pulgadas mide una barra de 31,75 cm?
Answers
Answer:
12.5 pulgadas
Step-by-step explanation:
31,75 cm * (1 pulgada)/(2,54 cm) = 12.5 pulgadas
Find the distance between points (-1,-4) and (2,2)
Answers
Answer:
5
Step-by-step explanation:
Which answer is the simplified version of this : 5 exponent 3 x 25
Answers
Answer:
3,125
Step-by-step explanation:
[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]
I do not get it pls help ASAP
Answers
Answer:
17 ft.
Step-by-step explanation:
just add all the values to get the perimeter.
Perimeter = 3ft +4+3+4+3
=17 feet
Therefore.., 17ft is the perimeter..
If this answer helps you plz mark as brainlist..Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C and D
Step-by-step explanation:
i just took the quiz
From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Determining perfect square trinomialsRecal that,
An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac
For x² -9a = 1, b = 0, c = -9
0² ≠ 4(1)(-9)
0 ≠ -36
∴ x² - 9 is NOT a perfect square trinomial
For x² - 100a = 1, b = 0, c = -100
0² ≠ 4(1)(-100)
0 ≠ -400
∴ x² - 100 is NOT a perfect square trinomial
For x² -4x +4a = 1, b = -4, c = 4
(-4)² = 4(1)(4)
16 = 16
∴ x² - 4x +4 is a perfect square trinomial
For x² +10x +25a = 1, b = 10, c = 25
(10)² = 4(1)(25)
100 = 100
∴ x² +10x +25 is a perfect square trinomial
For x² +15x +36a = 1, b = 15, c = 36
(15)² ≠ 4(1)(36)
225 ≠ 144
∴ x² - 4x +4 is a NOT perfect square trinomial
Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855
Chapters: 1.Integers
Answer the following questions:
1. Complete the pattern:
a) 8,3, -2, -7,
b) 20, 12, 4,
c) -14, -10, -6,
Answers
Answer:
a) -12
b) -4
c)-2
Step-by-step explanation:
a) pattern is minus 5
b) pattern is minus 8
c) pattern is plus 4
Using Linear Pairs to Find an Unknown Value
What is the value of x?
SEE
030
45
т
(3x)
55
70
R
O 60
W
Answers
Answer:
x=45
Step-by-step explanation:
I did it and got it right
can someone help mee :(((?
Answers
Step-by-step explanation:
2√48= 13.86
3√147= 36.37
Perimeter: 13.86+13.86+36.37+36.37= 100.46
what is the value of x/yz if x=-2 y=-3 & z=-4?
Answers
Answer:
- 1/3
Step-by-step explanation:
-2/-3(-4)=
-2/12=
-1/3
help me pls i need help pls omg omg
Answers
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
Answer:
I think it's A) <1 and <2
Step-by-step explanation:
I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.
A volcano in the ocean rises approximately 14,000 feet above sea level. Its base is approximately 20,000 feet below sea level. What is the total height of the volcano?
Answers
Answer:
6,000 feet
Step-by-step explanation:
The Square Root of a whole number is Always, Sometimes or Never a rational
number? *
Always
Sometimes
Never
Answers
The answer is Sometimes
7 divided by what equals 56?
Answers
Answer:
the answer is 8 very easy and very simple have a great
day ☺️
Which is the most reasonable way to estimate 26% of 88?
One-fifth(90)
One-fifth(80)
One-fourth(90)
One-fourth(80)
Answers
Answer:
1/4(90)
Step-by-step explanation:
The most reasonable way to estimate 26% of 88 is one-fourth of 90. Therefore, the correct option is C.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 26% of 88.
Now, 26/100 ×88
= 0.26×88
= 22.88
A) 1/5 ×90
= 18
B) 1/5 ×80
= 16
C) 1/4 ×90
= 22.5
D) 1/4 ×80
= 20
Therefore, option C is the correct answer.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Solve by factoring
0 = x² - 4x + 4
Answers
x² - 4x +4 = 0
x² - 2(x)(2) + 2² = 0 (a=x, b=2)
(x-2)² = 0
write 0.006 8 4 in scientific notation
Answers
Answer: 6.84 x 10^-3
Step-by-step explanation:
Answer:
[tex]6.84 \times 10 {}^{ - 3} \: \: \: is \: the \: scientific \: notation.[/tex]