The field inside a running track is made up of a rectangle 84.39m (meters) long and 73m (meters) wide, together with a half-circle at each end. The running lanes are 9.76m (meters) wide all the way around. Question: What is the area of the running track that goes around the field? Explain or show your reasoning.
Answer:
3886.53 [tex]m^{2}[/tex]
Step-by-step explanation:
The running track consist of two semicircles and a rectangle.
So that;
Diameter of the semicircles = width of the rectangle = 73 m
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{73}{2}[/tex]
= 36.5 m
But the two semicircles form a circle, so that;
Circumference of a circle = 2[tex]\pi[/tex]r
Circumference of the circle formed by the semicircles = 2 x [tex]\frac{22}{7}[/tex] x 36.5
= 229.43 m
Thus,
length of the running track = circumference of the circle formed + length of the two sides of the rectangle
= 229.43 + 84.39 + 84.39
= 398.21 m
The length of the running track is 398.21 m.
Therefore;
Area of the running track = length x width
= 398.21 x 9.76
= 3886.5296
The area of the running track is 3886.53 [tex]m^{2}[/tex].
Amanda buys some back-to-school clothes. She buys three T-shirts at $9.00 each, two pairs of jeans at $20.00 each, and five pairs of socks at $3.50 each. What is the total cost of her purchases?
Answer:
the correct answer is 84.5$
Step-by-step explanation:
The way how i got this because 3*9 for the t shirts
2*20 for the jeans
and 5*3.50 for the socks
Answer:
$84.50
Step-by-step explanation:
So we know she buys 3 nine dollar shirts
$9.00 times 3 shirts is $27.00
She also buys two pairs of jeans
$20.00 times 2 is $40.00
Finally she buys 5 pairs of socks
$3.50 times 5 is 17.50
so lets add it all up
27.00
40.00
17.50
=84.50
Pls helpppppp me, i will mark brainliest
Answer:
#1
Sorry if wrong!!
Given: 5=13
Which lines must be parallel?
A) r and s
B)p and q
C)p and r
D) q and s
Answer:
r and s
Step-by-step explanation:
Solve this 2 1/3 + 3/5
Answer:
2 14/15
Step-by-step explanation:
2 1/3 + 3/5
~Turn into improper fractions
7/3 + 3/5
~Find common denominators
35/15 + 9/15
~Add
44/15 or 2 14/15
Best of Luck!
Which of the following are valid names for the given triangle? Check all that apply.
Answer:
a, b, e,f
Step-by-step explanation:
i dont have one
Jonathan draws a ticket from a box to select the door prize winners at a party. The tickets are numbered from 1 to 25. What is the expected value that the tickets drawn will have numbers less than 5 if he draws tickets 40 tickets
Answer:
6
Step-by-step explanation:
Given that there are tickets in the draw which are numbered from 1 to 25.
Probability of an event E is given by the formula:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Probability of each number can be found out as:
Number of favorable cases for each number is 1 and total number of cases here is equal to the total number of tickets i.e. 25.
[tex]P(Each\ Number) = \dfrac{1}{25}[/tex]
Now, the numbers less than 5 mean 1, 2, 3 and 4.
Therefore, 4 number of favorable cases.
[tex]P(1, 2, 3\ or\ 4) = \dfrac{4}{25}[/tex]
Now, it is given that 40 tickets are drawn.
Number of times, the numbers less than 5 are expected:
[tex]\dfrac{4}{25}\times 40 \approx 6[/tex]
please help, thank you...
Answer:
I think the answer is either 26 or 28 (for the second one)
The answer is 9 for the third one
and 7 for the last one.
as for the first one, sorry, but I don't know the answer :(
Step-by-step explanation:
I hope I was able to help!
8 9/10 x 1 4/5
Exact Form:
801/50
Decimal Form:
16.02
Mixed Number Form:
16 1/50
sorry i only did 1
5. A water tower casts a shadow of 20 ft at the same time that a
6 ft box casts a shadow of 2 ft. How tall is the water tower?
a. 144 ft b. 60 ft
c. 48 ft
d. 3/5 ft
Answer:
B. 60ft
Step-by-step explanation:
if a 6ft box casts a 2ft shadow, then the water towers height would be 3 times its shadow. 20 x 3 = 60ft
The points on a section of an exam is given by the function f (x) , where x is the number of questions answered correctly in that section. If f (12) = 18 , then a test-taker receives 18 points for answering _____ questions in the section correctly.
Answer:
The answer is "12"
Step-by-step explanation:
Let f(x) be the function, where x specified in a certain section by the series of queries that have been addressed also as function.
[tex]\to f(12)=18[/tex] it implies, that even a test the person gets 18 points to packed up x queries. Its right series of issues were also:
[tex]\to f(x) = f(12)[/tex]
Therefore x = 12, The correct number of questions in the segment.
Mark is painting his house. He used 5 gallons of paint to cover 1,750
square feet and he used 7 gallons to cover 2,450 square feet.
How many square feet does each gallon of paint cover?
Answer:
350 square feet
Step-by-step explanation:
divide the square feet by the gallons of paint
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
The point in which they are connected is equal on both sides, it is an even 90-degree angle. The two lines indicate that the side is equal on both triangles and the red curve indicates that the angle is equal on both triangles. So it is congruent by ASA.
What number should be placed in the box to help complete the division calculation?
Answer:
13
Step-by-step explanation:
10x18= 180
193-180= 13
20 POINTS AND BRAINLIEST
What is the solution to the inequality shown?
-2(x + 3) < 6 - X
X > -12
x < -12
X > 12
x < 12
Answer: x > -12
Step-by-step explanation:
The product of a number p and six is written as
Answer:
6p
Step-by-step explanation:
Putting a variable next to the coefficient is the same thing as multiplying. You always put the number before the letter.
Hope that helps and have a great day!
The product of p and 6 is written as 6p.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression as;
'The product of a number p and six'
Now, The multiplication of two number is written with sign ( × ).
Thus, The product of a number p and six is written as;
⇒ p × 6
⇒ 6p
Thus, The product of p and 6 is written as 6p.
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Given the function f(x) = 2 x + 61 – 4, for what values of x is f(x) = 6?
Answer:
x = -51/2
Step-by-step explanation:
f(x) = 2x + 61 - 4
Since we are looking for the values where f(x) = 6, replace f(x) with 6 in the equation:
6 = 2x + 61 -4
Next combine like terms:
6 = 2x + 57
Then move subtract 57 from both sides to isolate the variable:
-51 = 2x
Finally, divide both sides by two to get x by itself:
x =-51/2
Answer:
69
Step-by-step explanation:
Replace x with 6.
2(6) =12 +61= 73-4=69
5x+8=2x-1 solve for x
Answer:
x=-3
Step-by-step explanation:
5x+9=2x
9=-3x
x=-3
Lily sold 5 purses in her first week of business and 15 purses in her second week of business.If p represents the profit she makes from selling one purse, how could lily write and simplify a variable expression that represents her current profit after two weeks in business?
Answer:
20p = x
Step-by-step explanation:
Since Lily sold 5 purses in week one and 15 purses in week two that adds up to be a total of 20 purses sold in two weeks. Since p represents the profit for each purse she can use the expression below which simply multiplies the profit per purse (p) by the total amount of purses sold in the two weeks which would give her the total amount of profit (x) that she made from all of her sales.
20p = x
Please help me ASAP with my homework!
High school Geometry.
Geometric proofs.
Warning (It's difficult)
Worth 10 points
Answer:
I can't see what the proof is for the first picture :( but I answered the second one.
Step-by-step explanation:
statement reasons
BX bisects ABC given
XBC + ABX = ABC angle bisector theorem
ABC divided by 2 = BX division property
BX = 45 symmetric property
i hope this helps
5.) The temperature drops from 9 degrees F to -5 degrees. By how much
does the temperature drop?
Answer:
The temperature dropped 14 degrees.
Step-by-step explanation: x = 14
x + (-5)= 9
The absolute value (distance from zero) of -5 is 5.
The absolute value of 9 is 9.
To find the drop in temperature, add the absolute values of both numbers.
Find a point-slope form for the line with slope 1/5 and passing through the point (-8, - 9).
The equation of the line in point-slope form is ______?
Answer:
y=1/5(x+8)-9
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1/5(x+8)-9
Answer:
[tex]y+9=\frac{1}{5} (x+8)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).
We want to write the equation of this line in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.
Pre-SolvingAs we are given both the slope and the point, we can plug those values into the equation.
Starting with the slope, we can replace m with 1/5.
[tex]y-y_1=\frac{1}{5} (x-x_1)[/tex]
Now, substitute -8 as [tex]x_1[/tex] and -9 as [tex]y_1[/tex]. We get:
[tex]y--9=\frac{1}{5} (x--8)[/tex]
This can be simplified to:
[tex]y+9=\frac{1}{5} (x+8)[/tex]
Number 3 please I need it real quick
Answer
D
Step-by-step explanation:
Darius is building a square launch pad for a rocket project. If the area of the pad is 121 square centimeters, what is it's sides length? Use the area formula, A=s^2, and show your work.
Answer:
11 cm
Step-by-step explanation:
A = [tex]s^{2}[/tex]
Known that A = 121 [tex]cm^{2}[/tex],
121 [tex]cm^{2}[/tex] = [tex]s^{2}[/tex]
s = [tex]\sqrt{121}[/tex] cm = 11 cm
Done :)
The side length of a square launch pad is 11 centimeter.
Here,
Darius is building a square launch pad for a rocket project.
The area of the pad is 121 square centimeters.
We have to find, it's side length.
What is Area of square?
The area of a square = side x side
Since each side of a square is the same, it can simply be the length of one side squared.
Now,
The area of the pad is 121 square centimeters.
We use the area formula,
⇒[tex]A = s^{2}[/tex]
⇒ [tex]s^{2} = 121[/tex]
⇒[tex]s = \sqrt{121}[/tex]
⇒ [tex]s = 11[/tex]
Hence, The side length of a square launch pad is 11 centimeter.
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please help me , it’s either suppose to be a fraction or decimal !
Answer:
165.43
Step-by-step explanation:
36.115/3.1=11.65
To check: 7.1*65=82.715
So...
14.2*11.65=165.43
What kind of theorem is this ? AAS, SAS, SSS,ASA,HL,or NP
Answer:
Xjxhxbxbxbxbxjxjs sjsnsndbxnxj
x+3 is a factor of p(x)= x3-7x2+15-9
A. True
B. False
The radius of the puddle is zero when time is zero but expands at a rate of one-quarter unit per second instead of one-half unit per second. By what factor does the denominator of the resultant composite function A(r(t)) change from that in the opening scenario?
Given that the radius of the puddle expands, originally, at a rate of 1/4 unit/second instead of 1/2 unit/second.
The current rate of expension of the radius,
\frac {r(t)}{t}=frac 1 4 unit/second ...(i)
The resultant composite function is area, A(r(t)).
The area of a circular region having radius r is,
[tex]A(r)=\pi r^2[/tex]
If the radius is the function of time, then the composite function is
[tex]A(r(t))=\pi \(r(t))^2[/tex]
To determine the rate of change of area with respect to time, differentiate the composite function A(r(t)) once with respect to time, we have
[tex]\frac {d\{A(r(t))\}}{dt}=\pi \left(2\frac {d\{r(t)\}}{dt}\right)[/tex]
So, the composite function is changing twice of the rate of change of the radius.
By using equation (i), if r(i) is changing with R= 1/4 unit / second.
Then, A(r(t)) will change 2 x 1/4 = 1/2 square unit/second.
12 students play on the schools basketball team and 38 students play on the football team. what is the ratio of basketball players to football players?
Answer: 6:19
Step-by-step explanation:
Students playing basketball is 12
Students playing football is 38
12/38
Since 2 is a common factor of both 12 and 38. Therefore 12 and 38 are divisible by 2
6/19
6:19
last week, the price of oranges at the farmers market was $1.75 per pound. this week there were decreased by 20%. what are the prices of oranges this week?
Which one is the answer to it
Answer:
- 6 and - 4
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] x + 4 ≥ 6 ( subtract 4 from both sides )
- [tex]\frac{1}{2}[/tex] x ≥ 2
Multiply both sides by - 2 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ - 4
The only values from the set which satisfy the inequality are
- 4 and - 6