What is the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm?
Answer:
29
Step-by-step explanation:
20^2 times 3.14= 1256
21^2 times 3.14= 1384.74
the sum of those two is 2640.74
the square root of that is 29
The radius of the circle is 29 cm.
We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.
We have to find the radius of the circle.
Suppose you have to find the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are r and R. How will you approach it?Let the radius of the circle be x.
We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -
[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]
Now, in the question given to us -
r = 20cm and R = 21cm and 'x' denotes the radius of the circle we have to find.
Substituting the values in the above formula, we get -
x = [tex]\sqrt{400+441}[/tex]
x =29 cm
Hence, the radius of the circle is 29 cm.
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Find an exponential function that passes through (2, 16) and (6, 256) with an asymptote
y=0.
Answer:she's a freshmen leave her alone anime girl before senpai comes for ya >_<
Step-by-step explanation:
Evaluate the expression. If necessary, round to the nearest hundredth.
PLEASE HELP ASAP!!
Answer: I would say that the one which you have selected is correct.
Step-by-step explanation:
I really do hope that I am right and this helps you!
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What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2
Answer:
D
Step-by-step explanation:
Jack had $200 when he got to the festival. He spends $4 per ride. The equation T = 200 – 4R models his amount of money. If he has $100 left how many rides did he go on
Answer:
25
Step-by-step explanation:
Given the equation :
T = 200 - 4R
T = amount of money left ; if T = $100
R = number of rides
$100 = 200 - 4R
$100 - $200 = - 4R
-$100 = - 4R
R = 100/ 4
R = 25
25 rides
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Carson's bill for dinner at a restaurant was $48. He left a 15% tip. What was the total cost of his dinner, including tip?
Answer: $55.20
Step-by-step explanation:
If $48 = 100%, 15% + bill cost = 115%
115% = 1.15
Multiply 48 × 1.15 = $55.20
Note- It would mean the world to me if you could mark me as brainliest!
Answer:
$55.20
Step-by-step explanation:
48+%15=55.20 based on how much you're bill os affects how much the tip is worth
Which could be an equation of the trend line shown in the graph?
a. y = 6x + 12
b. y = 8x + 15
c. y = 6x + 6
d. y = 8x + 8
(Hint: it’s not c or a)
Answer:
its d
Step-by-step explanation:
16 X plus 3X squared minus 2X -19+ 1X squared
List the steps to calculate the slope/rate of change using a calculator.
Hi guys can you answer my math question
Answer:
(a) 7 + 4 = 11
(b) 1 + 3 + 5 = 9
(c) (7 x 2) + 1 = 15
(d) (7 x 2) - 1 = 13
(e) 13 - 9 = 4
Step-by-step explanation:
(a) 5 + 4 = 9
(b) 7 + 1 + 11 = 19
(c) 25 = 12 + 12 + 1
(d) 7 = 4 + 4 - 1
(e) 13 - 11 = 2
Proving lines parallel determine the value of X
when both l and m are parallel then
(4x+7) = (6x-63)
-2x = -70
-x = -70/2
-x = -35
x = 35
hope it helps and ur day will full of happiness
what are the answers to these?!?!?!?>>>>>
2(y−3)=4 (solve for "y")
2x+5y=10 (solve for "x")
6x+3y=4y+11 (solve for "y")
3(2x+4)=2+6x+10 (solve for "x")
y=−3x+6 (solve for "x")
m=8−2(p−m) (solve for "p")
1) y=5
2) x=(10-5y)/2
3) y=(11-6x)/-3
4) x=0
5) x=(-y+6)/3
6) p=(8+m)/2
Find the slope of each line graphed below.
Answer:
please please answer answer
Answer:
um a is the blue and d is the one that is going up and down and bis the one that goes side to side
Step-by-step explanation:
HELP PLZ DUE IN 15 MIN!
Given: ΔFGH ≅ ΔWAX. Complete the following statements.
Segment GH ≅ Segment ??
∠W ≅ ∠ ??
Answer:
Step-by-step explanation:
GH =~ AX
<W =~ <F
Answer:
Given:
ΔFGH ≅ ΔWAXCorresponding sides or angles are congruent
Segment GH ≅ Segment AX∠W ≅ ∠ F-3+4x-10=1/2x
Please HELP
Answer:
x=26/7
Step-by-step explanation:
which point represents the solution to the system
3x-2y=12
2x+2y=3
a. (2,-2/3)
b. (3,-3/2)
c. (3,-2)
d. (2,2)
please explain how you got your answer.
Answer:
b
Step-by-step explanation:
[tex]3x - 2y = 12 \\ 2x + 2y = 3 \\ 2y = 3 - 2x \\ 3x - (3 - 2x) = 12 \\ 3x - 3 + 2x = 12 \\ 5x = 15 \\ x = 3 \\ 2y = 3 - 6 = - 3 \\ y = - \frac{3}{2} [/tex]
(3, -3/2)
−3x − 8y = 20 −5x + y = 19 solved by substitution
Delete as this is the wrong answer. Made a typo in the answer.
Answer:
x = [tex]\frac{-212}{3}[/tex]
y = 24
Step-by-step explanation:
-3x - 8y = 20 .... (1)
-5x + y = 19 .... (2)
What we can do is take the (2) equation
-5x + y = 19
and solve for y by adding 5x to both sides
y = 24
now that we have y we substitute it in for y in equation (1)
-3x - 8(24) = 20
-3x - 192 = 20
we want to solve for x so we need to get its self.
add 192 to both sides
-3x = 212
now we divide both sides by -3. It's going to be a fraction.
x = [tex]\frac{-212}{3}[/tex]
Answer:
x=-4
y=-1
Step-by-step explanation:
-3x-8y=20
-5x+y=19
rewrite for y:
y=19+5x
substitute y
-3x-8(19+5x)=20
-3x-152-40x=20
-3x-152-40x+152=20+152
-43x=172
-43x/-43=172/-43
x=-4
substitute x
-5(-4)+y=19
20+y=19
y=-1
check:
-3(-4)-8(-1)=20
12+8=20
-5(-4)+-1=19
20-1=19
which is the graph of the linear equation Y is greater than or equal to negative X -3
Answer:
yea
Step-by-step explanation:
help due in 10 min ????
Answer:
7 x 7 x 7
Step-by-step explanation:
When raising a number or expression to an exponent, you are really just multiplying the number or expression by itself.
That means 7³ is 7 multiplied by itself 3 times.
7 x 7 x 7
Hope this helps!
Please help me answer this question of Fractional Linear Equations. I provided the example of how to do it in case you forgot/don't know how to anymore. I'll give out brainliest. Thank youu
a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the number ?
mya bought some pizza for $12 each . f p represents the number of pizza she bough , what expression shows the total amount she spent ?
Answer:
Step-by-step explanation:
f(p)=12p
Answer:
12p
Step-by-step explanation:
Since each pizza costs $12 dollars and "p" represents how many pizzas she bought, you multiply 12 by "p" to get the total amount of money that she had spent.
please help me!!! PLEASE!!!!!!!
The system of equations (picture shown) has (blank)
blank options (shown in pictiure)
1. no solution
2. infinitely many solutions
3. one solution
Answer:
no way
Step-by-step explanation:
addison rae? is that u?
WILL GIVE BRAINLIEST!
Translate the following verbal expression into a variable expression.
Eight divided by the sum of a number and three.
Answer:
8÷(x+3)
Step-by-step explanation:
it doesnt specify what number you add with 3 so you substitute it with a variable such as x.
The sum is adding so x +3 and then divide by 8
It says find the measure of each angle indicated
Answer:
110 = x
Step-by-step explanation:
the ? and 40º have to sum to 150º because angle d is an exterior angle
factored form for x^2 + 8x + 3
Answer:
x = [-b +- sqrt(b^2-4ac)]/2a
Step-by-step explanation:
what does it mean when you cancel out the variables and you have a solution like 5=5?
Answer:
Then you have infinite solutions
Step-by-step explanation:
if no solution, you would get sum lyke 4 = 5
if infinite soltution you would get sum lyke 3 = 3
if you have one solution, expect to get sum lyke x = 5
just answer the multiple-choice pls
Answer:
its B
Step-by-step explanation:
Three shipping companies want to compare the mean numbers of deliveries their drivers complete in a day.
The first two shipping companies provided their data from a sample of drivers in a table.
Company C showed its data in a dot plot.
Answer the questions to compare the mean number of deliveries for the three companies.
1. How many drivers did company C use in its sample?
Write your answer in the space below.
2. What is the MAD for company C's data? Show your work.
Write your answer in the space below.
3. Which company had the greatest mean number of deliveries?
Write your answer in the space below.
4. Compare the means for companies A and B. By how many times the MAD do their means differ? Show your work.
Write your answer in the space below.
Answer:
Step-by-step explanation:
1. the company C used 10 drivers
2. 6 + 7 + 8 + 9 + 10 + 10 + 10 + 12 + 14 + 14 = 100/10. The Mean = 10
(6- 10) + (7- 10) + (8- 10) + (9- 10) + (10- 10) + (10- 10) + (10- 10) + (12- 10) + (14- 10)
4 + 3 + 2 + 1 + 0 + 0 + 0 + 2 + 4 = 16/10 = 1 6/10
3. The groups that had the most deliveries where group A and B
4. So if there are 6 deliveries of group A and 14 deliveries from group B i think the MAD would be 4
By reading the dot plot,
Number of drivers used by company C in its sample = 10
Mean absolute deviation for company C's data = 2
Company B has the greatest mean number of deliveries.
The mean deliveries of company B is 4 times MAD of company A.
What is dot plot?Dot plot is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.
Number of units used in the sample of a dot plot can be calculated by simple counting.
What is mean absolute deviation?The mean absolute deviation (MAD) is the mean distance between each data value and the mean of the data set.
We are given the sum of each point from the mean. It is 20. Mean absolute deviation can be calculated by dividing this sum by number of observations.
Mean absolute deviation of company C = 20/10 = 2.
Mean A = 6
Mean B = 14
Mean B - Mean A = 8 = 4 * 2 = 4 times MAD (since MAD =2 for both companies).
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