In the figure shown, what is the area of the rectangle, if the radius of each circle is 6 cm?
Answers
Thus, the width of the rectangle is 12 cm. and the length is 24 cm.
The area of the rect. is (12 cm)(24 cm) = 288 cm^2
To find the area of the given rectangle with circles at its ends, we need to know the radius of the circles and the length of the rectangle in between. Length of the rectangle would be equal to the diameter of a circle plus the length between the two circles. Then, we multiply this length with the width equivalent to the diameter of the circle.
Explanation:In this Mathematics question, the student is asked to find the area of a rectangle with two circles, each with a radius of 6cm, at its ends.
As we know, the area of a rectangle is found by the formula, Area = Length x Width.
The length of the rectangle can be determined from the radii of the circles, it's equal to the diameter of one of the circles (because the radius of the circle is 6, the diameter would be 2*6=12) plus the length of the rectangle that is between the two circles.
However, the width of the rectangle is smoothly equivalent to the diameter of one of the circles (which is 12cm as calculated).
Once we have both the length and width of the rectangle (assuming the length inside the rectangle is given or predetermined), we can easily determine the area of the rectangle by multiplying these two.
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Related Questions
what 5x(4+gy) if x= 1 g= 20 Y=14
please show work
Answers
[tex]5x(4+gy)[/tex]
[tex]5(1)(4+(20)(14))=5(4+280)=5(284)=1420[/tex]
Simplify each expression (combine like terms)
17x+12-13x
-35+17-3w+12w
Answers
And for the second one - 18+9w
"unable to determine because x can't take on the value 5.5"
Answers
f(x) = -------------------
x - (5.5)
is an example where there's no finite limit if x approaches 5.5.
What's 24.67 to one significant figure?
Answers
Dan earns $8.25 an hour and works 20 hours a week. How much will he earn in three weeks?
Answers
Dan will earn $495 in three weeks.
Answer:
Step-by-step explanation:
Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.
How do you figure out what 1/10 of 1,7000.000 km squared is?
Answers
This would get you 28,900,000.
D is the midpoint of CE.E has coordinates (-3,-2), and D has coordinates (2 1/2, 1). Find the coordinate of C.
Answers
(-3,-2)....x1 = -3 and y1 = -2
(x,y)......x2 = x and y2 = y
now we sub
(-3 + x) / 2, (-2 + y) / 2
(-3 + x) / 2 = 2 1/2
-3 + x = 5/2 * 2
-3 + x = 5
x = 5 + 3
x = 8
(-2 + y) / 2 = 1
-2 + y = 1 * 2
-2 + y = 2
y = 2 + 2
y = 4
so the coordinates of point C are : (8,4)
The coordinate of point C on line CE will be (8, 4).
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
D is the midpoint of CE.
E has coordinates (-3,-2), and D has coordinates (2 1/2, 1).
Now, By the definition of midpoint;
Let the coordinate of point C = (x, y)
Then,
((x + (-3))/2 , (y + (-2))/2) = (2 1/2, 1)
By comparison we get;
x + (-3) / 2= 2 1/2
x - 3 = 2 (5/2)
x - 3 = 5
x = 3 + 5
x = 8
And, (y + (-2))/2 = 1
y - 2 = 2
y = 2 + 2
y = 4
Thus, The coordinate of point C = (x, y) = (8, 4)
So, The coordinate of point C on line CE will be (8, 4).
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What is the expanded notation for 2.918?
Answers
I hope this helps.
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
Answers
(2x² +3x -4) + (8 -3x) + (-5x² +2)
= x²(2 -5) +x(3 -3) +(-4 +8 +2)
= -3x² +6
_____
The process here is called "collecting terms", which means you add the coefficients of "like" terms. Terms are "like terms" when they have the same constellation of variables. Here, there are three different kinds of like terms:
• x² terms
• x terms
• constants
This process is an application of the distributive property, as you can see on the second line of the solution above.
a certain game involves tossing 3 fair coins. it pays 28 cents for 3 heads, 16 cents for 2 heads, and 4 cents for 1 head. what is a fair price to play this game?
Answers
Final answer:
The fair price to play this game is 10.5 cents.
Explanation:
To find the fair price to play this game, we need to calculate the expected value. The expected value is calculated by multiplying each outcome by its probability and summing them up.
Let's calculate the expected value:
Probability of getting 3 heads: 1/8 (since there are 8 possible outcomes)Payout for 3 heads: 28 centsProbability of getting 2 heads: 3/8Payout for 2 heads: 16 centsProbability of getting 1 head: 3/8Payout for 1 head: 4 centsNow, we calculate the expected value:
(1/8) * 28 + (3/8) * 16 + (3/8) * 4 = 3.5 + 6 + 1 = 10.5 cents
Therefore, the fair price to play this game is 10.5 cents.
Can I have help on number 16 and please explain how you got the answer
Answers
[tex]3c+3(4)\\ 3c+12[/tex]
So the area of this particular rectangle would be 3c + 12 sq. ft
4r+3=r+21
How do I do this?
Answers
4r+3-3=r+21-3
4r=r+18
4r-r=r-r+18
3r=18
3r/3=18/3
r=6
remember that what you do in one side, do it in the other
Reorder the terms 3 + 4r = 21 + r. Solve: 3 + 4r = 21 + r.
Move all terms containing r to the left, all other terms to the right.
Solving for variable 'r'.
Add '-1r' to each side of the equation. 3 + 4r + -1r = 21 + r + -1r.
Combine like terms: 4r + -1r = 3r3 + 3r = 21 + r + -1r
Combine like terms: r + -1r = 0 3 + 3r = 21 + 0 3 + 3r = 21
Add '-3' to each side of the equation. 3 + -3 + 3r = 21 + -3
Combine like terms: 3 + -3 = 0 0 + 3r = 21 + -3 3r = 21 + -3
Combine like terms: 21 + -3 = 18 3r = 18
Divide each side by '3'. r = 6 Simplifying r = 6
Start at 5. Create a pattern that multiplies each number by 3 and subtracts 2. Stop when you have 5 numbers.
Answers
Answer: The required pattern is 13, 37, 109, 325, 973
Step-by-step explanation:
Since, each number in the sequence follows the following rule,
2 less than the 3 times of the previous number.
If we start from 5,
Then first number of the sequence = 3×5 - 2 = 15 - 2 = 13
Second number = 3× 13 - 2 = 39 - 2 = 37
Third number = 3× 37 - 2 = 111 - 2 = 109
Fourth number = 3×109 - 2 = 327 - 2 = 325
Fifth number = 3× 325 - 2 = 975 - 2 = 973
Hence, The required sequence is,
13, 37, 109, 325, 973
$185 DVD player 6% markup
Answers
i think.....
if it is right dont forget to give me brainliest
If the radius of a circle measures 2 inches, what is the measure of its diameter?
Answers
~~Alexis
A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n + 1 C=2n2 + 6n – 1 D=3n2 + 5
Answers
Multiplying out the first term: 2n^2 + 6n
Subtracting n^2-1: - (n^2 -1)
----------------------
n^2 + 6n + 1 (answer)
Answer:
B
Step-by-step explanation:
DOES ANYONE HAVE A WORD PROBLEM FOR [5+10] DIVIDED BY 5 this is 5th grade math by the way
Answers
Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 players on the team now. The expression below represents the percent of experienced players on the team after the coach adds x experienced players.
100(x+4)/x+10
What is:
a. Original ratio of experienced to total players
b. Final ratio of experienced to total players
c. Final total number of players
Choices
4/10
x+10
4
10
x+4/x+10
Answers
Given that forty percent of the players on a soccer team are experienced players.
Then, the original ratio of experienced to total players is given by 40/100 = 4/10
Part B:
Given that the expression [tex] \frac{100(x+4)}{x+10} [/tex] represents the percent of experienced players on the team after the coach adds x experienced players.
Then, the final ratio of experienced to total players is given by:
[tex] \frac{\frac{100(x+4)}{x+10}}{100} =\frac{x+4}{x+10}[/tex]
Part C:
Given that there are 10 players on the team now, and that the coach adds x experienced player, then the number of players on the team now is given by:
10 + x.
What is the answer to the problem below?
Solve the system of equations graphically.
x=3
y=4
Answers
They already give us the answer, which is (3,4). So all we have to do is graph it on the graph. 3 is for x and 4 is for y.
Check the picture below.
(3,4)
You could solve this graphically by graphing the vertical line x = 3 and the horiz. line y = 4. A visual check would show that these two lines intersect at (3,4).
The number of gallons of coffee a mathematician drinks on any given day is inversely proportional to how much sleep he gets the night before. On Monday, he got 9 hours of sleep and drank 2 gallons of coffee. On Tuesday, he got 6 hours of sleep. How many gallons of coffee did he drink?
Answers
Rochelle found the quotient of an integer, x, and 13. Is her quotient a rational number
Answers
The integers (abbreviated Z) contain all of the natural numbers, and add negative numbers, too (-1, -2, -3, etc.). Multiplication, addition, and subtraction work fine now, and no matter which integers we use, those operations will always give us back another integer. It's not all perfect, though; division gives us a bit of a hassle now. Expressions like 6/3 are fine, since they just produce another integer (2, in this case), but there's no integer result for something like 2/5 or 3/8, so again, we have to create a new set of numbers to compensate.
That set of numbers is what we refer to as the rational numbers (abbreviated Q), named after the fact that all of them are expressed as ratios. By expanding our number system with these, we gain the ability to express every integer as a rational number by putting it over 1 (6 = 6/1, 5 = 5/1, etc.).
So, getting back to the original question, "is the quotient of an integer x and 13 a rational number?" Yes. The quotient of two integers can always be represented as a rational number.
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches.
A) 36π in. ^ 3
B) 48π in. ^ 3
C) 52π in. ^ 3
D) 64π in. ^ 3
Answers
2005 months = how many liters
Answers
I think you meant mililiters instead of months.
1 ml = 0.001 L
2005 ml = 2.005 L
And there's your answer! ^
I hope you found this helpful c:
What is the completely factored form of x3 – 64x? x(x – 8)(x – 8) (x-4)(x2+4x+16) x(x – 8)(x + 8) (x – 4)(x + 4)(x + 4)
Answers
After factoring x from both terms, you can factor the difference of two squares.
= x(x² -64)
= x(x -8)(x +8)
_____
It is worth remembering the "speciall form" that is the difference of two squares:
... a² - b² = (a -b)(a +b)
Answer:
x(x -8)(x +8)
Step-by-step explanation:
Every two years, a manufacturer's total yearly sales decline 20%. She sells 400 total units in her first year. Rounded to the nearest unit, how many total units will she sell her ninth year?
Answers
we know, the first year she sold 400 units, thus year 0, 400 units, t = 0, A = 400.
[tex]\bf \textit{Periodic Exponential Decay}\\\\ A=I(1 - r)^{\frac{t}{p}}\qquad \begin{cases} A=\textit{accumulated amount}\to &400\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &0\\ p=period \end{cases} \\\\\\ 400=I(1-r)^{\frac{0}{p}}\implies 400=I\cdot 1\implies 400=I[/tex]
therefore then
[tex]\bf \textit{Periodic Exponential Decay}\\\\ A=I(1 - r)^{\frac{t}{p}}\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &400\\ r=rate\to 20\%\to \frac{20}{100}\to &0.20\\ t=\textit{elapsed time}\\ p=period\to &2 \end{cases} \\\\\\ A=400(1-0.2)^{\frac{t}{2}}[/tex]
now, how many units will it had decreased by the 9th year? t = 9
[tex]\bf A=400(1-0.2)^{\frac{9}{2}}[/tex]
146.54 units are the total units will she sell her ninth year.
Here, we have,
periodic exponential decay is:
[tex]A = I(1-r)^{t/p}[/tex]
where,
A = amount
I = initial amount
r = rate
t = time
p = period
we know, the first year she sold 400 units,
thus year 0, 400 units, t = 0, A = 400.
so, we get,
periodic exponential decay is:
[tex]A = I(1-r)^{t/p}[/tex]
=> 400 = I × 1
=> 400 = I
therefore then, when, rate = 20 %
we get,
periodic exponential decay is:
[tex]A = I(1-r)^{t/p}[/tex]
[tex]= > A = 400(1-0.2)^{t/2}[/tex]
now, how many units will it had decreased by the 9th year? t = 9
so, we get,
[tex]= > A = 400(1-0.2)^{9/2}[/tex]
=> A = 146.54
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Alan sells custom made kites online. He makes a flat profit of $20 per kite, but he pays $20 per day for his website. Write an inequality that gives the number of kites Alan needs to sell to make at least $900 per week?
Answers
I hope that helps. You'll have to isolate each variable. X= kite, y=website.
Profit on each kite that Allan sells= $ 20 per kite
Amount paid by Allan for his Website = $ 20 per day
Let number of kites sold by Allan per day = x
In 7 days , number of kites sold = 7 x
Amount paid by Allan for his Website in 7 seven days = 20 × 7=$140
We have to make an equality describing number of kites Alan needs to sell to make at least $900 per week.
The Inequality is
→20×7 x -140 ≥ 900
→ 140 x ≥ 900 + 140
→ 140 x ≥1040
→ 7 x ≥ 52 (Minimum number of kites that allan should sell in a week)
Dividing both sides by 140,we get
→ x ≥ [tex]\frac{1040}{140}=7.43[/tex]= 8 kites in a day(approx)
What can be used as a reason in a two-column proof?
Select each correct answer.
conjecture
postulate
definition
premise
Answers
Therefore, what can be used as a reason in a two-column proof are:
Postulates
Definitions
Answer:
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The reason column will typically include "given", vocabulary definitions, and theorems.
Therefore, what can be used as a reason in a two-column proof are:
Postulates
Definitions
605 mi in 11 hours at the same rate how many miles would he drive in 13 hours
Answers
605/ 11= 55
55*13=715
In 13 hours, 715 miles will be traveled
what is the answer of 9X23+3X39-28=n
Answers
n= 296
Answer: n=296
Step-by-step explanation: 9 x 23 + 3 x 39 - 28 + n = 296
Hope this helps! <3
steps to solve this equation 25 1/7- 12 5/7=
Answers
[tex] \frac{175+1}{7} - 12 \frac{5}{7} [/tex][tex] \frac{176}{7} - \frac{12*7+5}{7} [/tex]
To solve the equation 25 1/7 - 12 5/7, subtract the whole numbers and fractions separately, and combine them back into a mixed number to get the solution, which is 12 3/7
To solve the equation 25 1/7 - 12 5/7, follow these steps:
First, break the mixed numbers into whole numbers and fractions: (25 + 1/7) - (12 + 5/7).Next, subtract the whole numbers: 25 - 12 = 13.Subtract the fractions: 1/7 - 5/7. Since the denominators are the same, simply subtract the numerators: 1 - 5 = -4. This gives us -4/7, but since we can't have a negative fraction in this context, we'll take 1 away from the whole number 13 and convert it to 7/7, to make the equation easier to solve.Now you have 12 (since we took 1 from 13) and 7/7 - 4/7, which equals 3/7.Add the whole number and the fraction: 12 + 3/7 = 12 3/7.The solution to the equation is 12 3/7