While running for class president, Amanda handed out a campaign button. The catalog from which the button was ordered states that it has a circumference of 12.56 inches. What is the button's area?
Answer:
A = 12.554 square inches
Step-by-step explanation:
Let's start with the formulas:
Circumference = [tex]2\pi r[/tex]; Area = [tex]\pi r^{2}[/tex]
We can use the circumference to find the radius, r, which we need for the area
12.56 = [tex]2\pi r[/tex]
Isolating r gives us [tex]\frac{12.56}{2\pi } = r[/tex]
A = [tex]\pi (\frac{12.56}{2\pi })^{2}[/tex]
Solving gives us 12.554, which you can further round if necessary.
A laboratory technician needs to make a 40-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired
concentration?
The laboratory technician can combine L of the pure acid solution with L
of the 20% acid solution to get the desired concentration
Answer:
The technician can combine 10 liters of pure acid with 30 liters of 20% acid to get the desired concentration
Step-by-step explanation:
For pure acid, the concentration will be 100%
Let the liters of pure be a and the liters of 20% be b
Since we want 40 liters of total;
a + b = 40 ••••••••(i)
Also,
100% of a + 20% of b = 40% of 40
a + 0.2b = 16 •••••(ii)
From ii , a = 16-0.2b
Put this into i
16-0.2b + b = 40
0.8b = 40-16
0.8b = 24
b = 24/0.8
b = 30
Since a + b = 40
a = 40 - b
a = 40-30
a = 10
Two similar triangles have a pair of
corresponding sides of length 12 meters and 8
meters. The larger triangle has an area of 180
square meters. Find the area of the smaller triangle.
Answer:
The area of the smaller triangle is 80m²
Step-by-step explanation:
Find the scale factor to get the dimensions of the smaller triangle from the larger triangle using the given information:
[tex]\frac{\text{Large Triangle Length}}{\text{Small Triangle Length}}=\frac{12}{8}=\frac{3}{2}[/tex]
When scaling the area of similar shapes, we will square the scale factor for the lengths. We do this because area is a 2-dimensional measurement.
[tex](\frac{3}{2})^2=\frac{9}{4}[/tex]
Let x represent the area of the smaller triangle. So, we have:
[tex]\frac{9}{4}=\frac{180}{x}[/tex]
Cross multiply:
[tex]9x=4(180)[/tex]
[tex]9x=270[/tex]
Divide by 9:
[tex]x=\frac{720}{9}[/tex]
[tex]x=80[/tex]
Therefore, the area of the smaller triangle is [tex]80m^2[/tex].
You're planning to place an order from an online boutique. Leggings cost $12 each and shipping is a flat rate of $5. If your total was $41, how many pairs of leggings did you buy?
The pairs of legging purchased is 3
How to determine the number of leggings?Let the number of leggings be x.
The cost per legging is given as:
$12
So, the total amount is:
Total = 12x
The flat rate is given as:
Flat rate = 5
So, we have:
Total = 12x + 5
Your total is $41
So, we have:
12x + 5 = 41
Subtract 5 from both sides
12x = 36
Divide through by 12
x = 3
Hence, the pairs of legging purchased is 3
Read more about linear equations at:https://brainly.com/question/14323743
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HELP
Graph the system of equations.
f(x)=x^2+x−2
g(x)=−x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
A. An ordered pair that is a solution to the system of equations lies in Quadrant II.
B. An ordered pair that is a solution to the system of equations lies in Quadrant III.
C. The x-coordinate of a solution to the system of equations is −3.
D. The x-coordinate of a solution to the system of equation is 2.
E. The y-coordinate of a solution to the system of equations is 4.
F. An ordered pair that is a solution to the system of equations lies on the x-axis.
Answer:
An ordered pair that is the solution to the system of equations lies on the y-axis.
The y-coordinate of a solution to the system of equations is 4.
EXPLANATION
The given system has equations:
We equate both equations to get:
This implies that,
When x=0, y=-(0)+4=4
When x=-3, y=-(-3)+4=7
The solutions are: (0,4) and (-3,7)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5. Prime factors are 2*2*2*2*5. 2 and 5 are the prime factors of 80 .
Step-by-step explanation:
I hope i helped you <3
Answer:
5,2,2,2,2.
Step-by-step explanation:
2×2×2×2×5=80
Menal is making a plan to read her 625-page book. Her goal is to finish the book in 6 weeks. She is very busy during the first and fifth week, so she plans to read 50 pages during the first week and 45 pages during the fifth week. She will read the same number of pages during each of the remaining 4 weeks.
Answer:
p ≥ 132.5 pages
Step-by-step explanation:
Menal wants to know the minimum number of pages, p, she must read during each of those 4 weeks to meet her goal.What is the inequality for this problem?
Total pages = 625
First week = 50 pages
Fifths week = 45 pages
First week + fifth week
= 50 + 45
= 95 pages
Total pages remaining = Total pages - pages read
= 625 - 95
= 530 pages
Total pages remaining = 530 pages
Pages per week for 4 weeks ≥ 530 pages / 4 weeks
p ≥ 132.5 pages
19.The sum of two numbers is 22, and their difference is 12. What are the numbers?
Help???
Will reward brainliest.
At an arcade, there is a machine that accepts game tokens and returns tickets
that can be redeemed for prizes. Inserting 5 tokens returns 3 tickets and
inserting 10 tokens returns 8 tickets. You must insert tokens in multiples of 5 or
10, and you have a total of 20 tokens. Identify the domain in this situation?
*
Answer: 5, 10, 15, 20
Step-by-step explanation:
Domain is all possible values that can be used as inputs in a function.
The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.
The multiples of 5 are:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
What is an equation of the line that passes through the points (-1, 4) and (1, -6)?
Answer: y=-5x-1
Step-by-step explanation:
The two given points are (-1,4) and (1.-6)
We can then use the slope formula (Y2-Y1)/(X2-X1) to find the slope
4-(-6)/ -1-1 = 10/-2 = -5
Slope is -5
We then plug the slope in a set of points to find the y intercept
-5*-1+x = 4
5+x=4
x=-1
Then just add these two together to form the equation of y=mx+b
y=-5x-1
Claire flips a coin 4 times. Using the table, what is the probability that the coin will show tails at least once?
A 2-column table with 5 rows. Column 1 is labeled number of tails with entries 0, 1, 2, 3, 4. Column 2 is labeled probability with entries 0. 06, 0. 25, question mark, 0. 25, 0. 6.
0. 06
0. 25
0. 69
0. 94
Answer: 0.94
Step-by-step explanation:
The required probability of getting at least one tail is given as 0.94. Option D is correct.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The probability of getting tails at least one time is given as,
P(T) = 1 - P(T)'
From the given table.
P(T) = 1 - 0.06
P(T) = 0.94
Thus, the required probability of getting at least one tail is given as 0.94. Option D is correct.
Learn more about probability here:
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Which equation has a solution of 2 3 for n?
Answer:
letter C.5n=10
Step-by-step explanation:
thank me laterThe L.C.M of 4 and 6 is what?
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]the \: lcm \: of \: 4 \: and \: 6 \: is \: 12[/tex]
(Pleaseeeeeee helpp me)
Your going on vacation for 7 days
What’s the total amount you will spend on food and lodging each day? $700
What's the total amount you will spend on luggage for everybody? $600
Now use the amount you spend on Daily expenses to make an equation that will give you the expenses (y) for any given amount of days (x).
Total Expense equation:
Answer:
4207
Step-by-step explanation:hope that helped you
Answer: They report paying an average of about $87 per night for lodging on their domestic trips, and just a dollar or two more per night when traveling abroad. Overall, Americans spend an average of $33 per day on food when on a vacation within the U.S. In aggregate, more than 80% of that amount is spent in restaurants.
Step-by-step explanation: An estimate of what the average person spends on vacation is approximately $205-$305 per day plus transportation costs. This is based on spending $150-$250 a night on your accommodations and $60 a day on meals.
Often, there is more than one set of sequences that will take a preimage to an image. Determine one or two other sequences to create FGHIJ from ABCDE.
Hello.
The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).
A rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D
Have a nice day
Answer:
FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.
FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.
Which equation should be used to solve for x? Solve for x.
Question options:
x+52+51+84= 180; x=7
180-51-84+52=x; x=97
x+52+84+51= 90; x=-97
x+52+51+84= 180; x=-7
help
Answer:
x+52+51+84=180; x=-7
Step-by-step explanation:
-7+52 degrees = 45
51 degrees = 51
84 degrees= 84
+ -------
180 degrees
all angles in a triangle should add up to 180 degrees.
I need help on this problem
Answer:
there are 16 ounces in one pound, so in 4 pounds we have 64 ounces, if we spread 64 evenly with 8 pots you get 8 ounces per pot
8 is the answer
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
please help
VZ = 2WY
s + 52 = 14s
13s = 52
s = 52/13 = 4
find the value of x
Answer:
What is the other information attached to the question?
Step-by-step explanation:
(9x+6)° and (6x+9)°
What is the answer
Answer:
15x+15 ?
Step-by-step explanation:
at this rate how much hay will a cow eat over 90 days? iready
Answer:
775 lbs.
Step-by-step explanation:
Answer:
2250 pounds of hay
Step-by-step explanation:
hope this helps!
HELP PLS 50 POINTS!!
We know that:
[tex]1. \space\ r + s + t = 180 + 180 + 180 - (Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle)\\ \\ 2. \space\ Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle = 180[/tex]
This means that:
[tex]1. \space\ r + s + t = 180 + 180 + 180 - (180)[/tex]
Let's simplify the equation to find r + s + t.
Simplifying the equation:
[tex]r + s + t = 180 + 180 + 180 - (180) \\ \\ r + s + t = 180 + 180 + 180 - 180 \\ \\ r + s + t = 180 + 180 \\ \\ r + s + t = 360[/tex]
Thus, the sum of r, s and t is 360°
Answer: the sum of r, s and t is 360°
I hope i helped you out.
ANSWER ASAP!! (100 POINTS, WILL MARK BRAINLIEST.)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth.
7.07 units
5.1 units
2 units
2.83 units
5.39 units
13.15 units
12.5 units
(3, -1) and (5, 4)
arrowRight
(2, 3) and (4, 5)
arrowRight
(-5, 7) and (8, 5)
arrowRight
(-2, 4) and (3, -1)
arrowRight
To find the distance between any points, we must use the equation
--> [tex]\sqrt{(y2-y1)^2+(x2-x1)^2}[/tex]
For the first question (3,-1) and (5,4), if we plug in the numbers, we get:
--> [tex]\sqrt{(4--1)^2+(5-3)^2} =\sqrt{5^2 + 2^2} =5.39 units[/tex]
For the second question (2,3) and (4,5), if we plug in the numbers, we get
--> [tex]\sqrt{(5-3)^2+(4-2)^2} =\sqrt{2^2+2^2} =2.83units[/tex]
For the third question (-5,7) and (8,5), if we plug in the numbers, we get
--> [tex]\sqrt{(5-7)^2+(8--5)^2} =\sqrt{(-2)^2+(13)^2} =13.15units[/tex]
For the fourth question (-2,4) and (3,-1), if we plug in the numbers, we get
--> [tex]\sqrt{(-1-4)^2+(3--2)^2} =\sqrt{(-5)^2+5^2} =7.07units[/tex]
Hope it helped!
Answer:
Bro above me is correct.
(3,-1) and (5,4) = 5.39
(2,3) and (4,5) = 2.83
(-5,7) and (8,5) = 13.15
(-2,4) and (3,-1) = 7.07
Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym's opportunity cost rate is 6 percent compounded monthly, how much will she have in the account in five years? (b) How much will be in the account if the deposits are made at the beginning of each month?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Interest rate= 0.06/12= 0.005
Number of periods= 12*5= 60 months
a)
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^60) - 1]} / 0.005
FV= $6,977
b) If the deposit is at the beginning of the month, the interest is compounded one more period. We need to use the following formula:
FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}
FV= 6,977 + {[100*(1.005^60)] - 100}
FV= 6,977 + 35
FV= $7,012
Please help me!
Gabriella sold half of her comic books and then bought fifteen more. She now has 34. How many comic books
did she have in the beginning?
Answer: i believe 38
Step-by-step explanation:
i’ll try my best to explain... 34-15=19 which means that times 2 is 38
if this was right it would make sense because half of 38 is 19 and 19+15 is 34
What is the value of x?
O 1
O 5
O 25
0 37
Answer:
37
Step-by-step explanation:
when you plug in 37 for X which is 96 degrees. which is technically an obtuse angle
Answer:
It’s 25
Step-by-step explanation:
You look good today
Brainliest tomorrow !!
Answer:
6
There are 3 dots on the line, so in that case, it must be 3.
Add +3 people to the data to represent the, "at least" part.
1/3(pi)4^3 I need help with this problem
Answer:
66.99 or 67
Step-by-step explanation:
First remember pemdas,
Parentheses, Exponents, Multiply, Divide, Add, Subtract
You need to do 4 to the 4th power first which is 64
Now on your calculator do 1 divided by 3, multiplied by pi or 3.14 if approximate multiplied by 64.
Here are the answers:
66.99 if multiplied to 3.14 rounded to the nearest hundredth.
67 if used pi. These answer choices have to be rounded or you'll be writing all possible numbers until midnight.
SO PLEASE ROUND!!!
Jacqueline drove 72 km on 6 L of gasoline.
Which of the following equations can be used to find how far she can travel on a full tank of 50 L?
A. 6/72=x/50
B. 72/6=50/x
C. x/72=6/50
D. 6/72=50/x
Answer:
6/72=50/x
Step-by-step explanation:
I just took the test and got it correct