Answer:
[tex]x^{2} +y^{2}=25[/tex]
Step-by-step explanation
The standard equation of a circle centered at origin is [tex]x^{2} +y^{2} =r^{2}[/tex]
r = radius of the circle
The circle is passing through the point (0,5)
∴ radius [tex]r=\sqrt{(0-0)^{2}+(5-0)^{2} }[/tex]
[tex]r=\sqrt{0+25}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r^{2}=25[/tex]
∴ The equation of the circle is
[tex]x^{2} +y^{2} = 25[/tex]
David has a monthly after-tax income of $ 1430.15 1430.15 . He will be using the companies health insurance plan which costs $ 63 63 a monthand the retirement option which takes 7 7 % of his after tax income. Calculate David's Monthly Take-Home pay.
Answer:
$ 1267.
Step-by-step explanation:
Given :
David's monthly income after tax = $ 1430.15
His health insurance cost him in a month = $ 63
Percent deducted from his income after tax for his retirement option is = 7%
Therefore money left after retirement option deduction is :
$ 1430.15 - 7% of $ 1430.15
= 1430.15 - 100.11
= $ 1330.04
= $ 1330 (aprrox)
Money deducted from this amount for his health insurance plan
= $ 1330 - $ 63
= $ 1267
Therefore, David's monthly take home pay is $ 1267.
Find the 8th term of the geometric sequence 3, 9, 27, ...
Answer:
8th term- 6,561
Step-by-step explanation:
Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.
1&2) 3x3=9
3) 9x3=27
4) 27x3=81
5) 81x3=243
6) 243x3=729
7) 729x3=2,187
8) 2,187x3=6,561
The 8th term of the geometric sequence is 6,561.
Hope this helps and have a great day! ^^
A map uses a scale of 2 cm = 50 kilometers. On the map, two cities are 9 cm apart, how far apart are they in real life?
Answer:
they are in 225kilometers apart.
hope it helps.
For the school play, tickets cost $9.50 for adults and $3 for kids under 12. What
would be the total cost for 8 adult tickets and 21 kids tickets? What would be the total
cost for a adult tickets and k kids tickets?
Answer:
250 $3 tickets and 100 $2 tickets were sold
What degree of rotation about the origin will cause the triangle below to map onto itself?
A. 270°
B. 180°
C. 360°
D. 90°
Answer:
the right answer will be c.360
360 degree of rotation about the origin will cause the triangle below to map onto itself.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have to find the degree of rotation that cause the triangle below to map onto itself.
As, A figure will be mapped onto itself if it circles the graph 360 degrees.
So, there are 360 degrees in a circle, the figure has just completed a full circle and returned to where it was before rotating.
Thus, the degree of rotation is 360.
Learn more about Transformation here:
https://brainly.com/question/16941421
#SPJ5
this was the question it got deleted I just need 1,2,5
Answer:
1. The volume of the cylinder is 263 [tex]cm^{3}[/tex].
2. The volume of the cylinder is 12 [tex]m^{3}[/tex].
3. The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].
4. The radius of the cylinder is 3.6 cm.
5a. Area of the base is 50.2 [tex]cm^{2}[/tex].
5b. The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].
5c. The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].
Step-by-step explanation:
1. The given shape is a cylinder, so that;
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex](3.8)^{2}[/tex] x 5.8
= 262.98128
The volume of the cylinder is 263 [tex]cm^{3}[/tex].
2. This is also a cylinder, but with a given diameter.
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1.2}{2}[/tex] = 0.6 m
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex](0.6)^{2}[/tex] x 10.6
= 11.98224
The volume of the cylinder is 12 [tex]m^{3}[/tex].
3. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex]6^{2}[/tex] x 28
= 3165.12
The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].
4. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
239 = 3.14 x [tex]r^{2}[/tex] x 6
239 = 18.84 [tex]r^{2}[/tex]
[tex]r^{2}[/tex] = [tex]\frac{239}{18.84}[/tex]
= 12.6858
r = [tex]\sqrt{12.6858}[/tex]
= 3.5617
The radius of the cylinder is 3.6 cm.
5. Area of the base = [tex]\pi[/tex][tex]r^{2}[/tex]
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{8}{2}[/tex] = 4 cm
Area of the base = 3.14 x [tex]4^{2}[/tex]
= 50.24
Area of the base is 50.2 [tex]cm^{2}[/tex].
5b. Area of the curved surface of the pencil holder = 2[tex]\pi[/tex]rh
= 2 x 3.14 x 4 x 14
= 351.68
The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].
5c. Surface area of the pencil holder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
= 2[tex]\pi[/tex]r(h + r)
= 2 x 3.14 x 4 (14 + 4)
= 452.16
The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].
The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.
What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)
One box of pasta costs?
Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
Find the area of the blue shaded region.
10 m
8 m
18 m
20 m
A 144 m2
B 200 m2
C 56 m2
D 344 m2
Answer:
56
Step-by-step explanation:
area of whole figure=
l×b
=20×10
=200
also,area of small fig.
=l×b
=18×8
=144
thus area of shaded part =a of whole- a of small
=200-144
=56
help im brain dead i dont understand
Answer:
A
Step-by-step explanation:
please help me solve this
Step-by-step explanation:
(x-2)^2
(x-2) (x-2)
x(x-2) -2(x-2)
x^2- 2x -2(x-2)
x^2-4x+4
If a backpack can fit 10 pounds of goods, how many backpacks are necessary for 35 pounds of goods. backpacks
Answer:
4 backpacks
Step-by-step explanation:
3 backpacks can hold 30 pounds. You can't have half a backpack, so you just add another.
Answer:
4
Step-by-step explanation:
Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. The value of n can be any positive integer resulting in the same factor
O B. The value of n can be any positive integer resulting in the distinct factors
(Use a comma to separate answers as needed.)
O C. The value of n can be any prime integer resulting in the same factor
O
D. The value of n can be any prime integer resulting in the distinct factors
(Use a comma to separate answers as needed.)
O E. The expression cannot be factored for the given values of n.
Answer:
A. The value of n can be any positive integer resulting in the same factor
Step-by-step explanation:
Given
[tex]x^2 + 2xn + n^2[/tex] --- the right expression
[tex]n > 0[/tex]
Required
Possible values of n
[tex]x^2 + 2xn + n^2[/tex]
Expand
[tex]x^2 + 2xn + n^2 = x^2 + xn+xn + n^2[/tex]
Factorize
[tex]x^2 + 2xn + n^2 = x(x + n)+n(x + n)[/tex]
Factor out [tex]x + n[/tex]
[tex]x^2 + 2xn + n^2 = (x + n)(x + n)[/tex]
From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible
[tex]x^2 + 2xn + n^2 = (x + n)^2[/tex]
The above also shows that n can take any positive value.
Hence: (a) is correct
Base your answer on Betty is thinking of two consecutive integers whose sum is 41.
What is the value of the larger integer?
Answer:
let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )
sum = 41
so, x + ( x + 1 ) = 41
x + x + 1 = 41
2x + 1 = 41
2x = 41 -1 = 40
2x = 40
x = 40/2 = 20
x = 20
x + 1 = 20 + 1 = 21
so the consecutive numbers whose sum is 40 are, 20 and 21
hope this answer helps you.....
please mark as brainliest... thank you!
PLEASE HELP!!!!!!!!!!!
Solve each equation:
a. x+3+3x=x+15
b. 3x+5=-3x+5x+10
c. n+n+3n=15
Answer:
A. X=4
B. X=5
C. N=3
Step-by-step explanation: Hope this help :D
Show that the triangles are similar in write a similarity statement (100 points!!!!)
Answer:
when you add them up then youll find your answer
Step-by-step explanation:
im just saying what my math teacher said im sorry if im wrong
find the measure of each interior angle of a regular polygon with the following number of sides 12
Answer:
each interior angle = 150°
Step-by-step explanation:
(N x 180°) - 360° = the sum of interior angles
where N = the number of sides
(12 x 180°) - 360° = 1800°
Since it is a regular polygon, all 12 angles are equal:
1800°/12 = 150°
Solve for the surface area of the figure below..
Answer and Step-by-step explanation:
To find the surface area, we have to find the area of all the faces of the shape, then add them together. We also only use the exposed faces, or the faces on the outside, not the inside.
Lets start with the rectangular prismed shape.
We have two faces with sides of 4 and 5, two faces with sides 16 and 4, and 1 side with 16 and 5.
Rectangles:
4 × 5 = 20
4 × 5 = 20
4 × 16 = 64
4 × 16 = 64
5 × 16 = 80
Now, let's do the triangles up top. There will essentially be 4 triangles, because we split them in half to find the area.
They have side lengths of 6 and 8.
Triangles:
6 × 8 = 48
6 × 8 = 48
6 × 8 = 48
6 × 8 = 48
Now, we have to the two rectangles up top.
They have side lengths of 10 and 4.
Top Rectangles:
10 × 4 = 40
10 × 4 = 40
Now, we add them all together.
20 + 20 + 64 + 64 + 80 + 48 + 48 + 48 + 48 + 40 + 40 =
40 + 208 + 192 + 80 =
520.
The Surface Area of the figure is 520 [tex]m^2[/tex]
#teamtrees #PAW (Plant And Water)
What is the total area of both the soccer field and playground? 10 meters 6 meters 11 meters 16 meters
Answer:
60 meters and 176 meters, together it is 236 meters
Step-by-step explanation:
HELP!! Does this graph show a function?
Answer:
Answer is C
Step-by-step explanation:
When we do the vertical line test the line intersects (cause its a circle)
This could explain better
Answer:
It is letter C No; the graph fails the vertical line test
Step-by-step explanation:
C is the answer
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer on the keypad and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer: 490
Step-by-step explanation: If 7 out of ten students have a backback you can also say 7/10. If in total there are 700 students we can multiply 7/10 or .7 woth 700 and get the answer. (7/10)(700)=490
4.What is the simplest way to write
3(x + 2y) - 2x + y? Briefly show or explain your
reasoning
Answer:
x + 7y
Step-by-step explanation:
[tex]3(x + 2y) - 2x + y \\ = 3x + 6y - 2x + y \\ = 3x - 2x + 6y + y \\ = x + 7y[/tex]
Cyber Monday Shopping A survey of U.S. adults found that of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the confidence interval of the true proportion. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.
Complete question :
Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.
Answer:
(0.301 ; 0.359)
Step-by-step explanation:
Sample size, n = 1000
Phat = 0.33
(1 - phat) = 1 - 0.33 = 0.67
Zcritical at 95% = 1.96
Confidence interval :
Phat ± margin of error
Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]
Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]
Margin of Error = 1.96 * 0.0148694
Margin of Error = 0.0291440
Lower boundary = (0.33 - 0.0291440) = 0.300856
Upper boundary = (0.33 + 0.0291440) = 0.359144
(0.301 ; 0.359)
Can you guys help me solve this
Which choices are equivalent to the expression below? Check all that apply.
Answer:5
Step-by-step explanation:
Answer:
the answer is 5.
Step-by-step explanation:
_/25 = 5.
What is an equation of the line that passes through the points (0,0) and (5,2)
Answer:
y = 2/5x
Step-by-step explanation:
slope = 2-0/5-0 = 2/5
y - 2 = 2/5(x - 5)
y = 2/5x
Write an internet for this situation: a deposit of $245
Answer:
.
Step-by-step explanation:
Mhnaifa please help! I will mark brainliest :)
Answer:
#4Verify if sides are proportional:
XW/XV = XY/XZ
15/(15 + 20) = 27/(27 + 36)15/35 = 27/ 633/7 = 3/7∠X is common and included, the side ratios are same.
ΔXZV ~ ΔXYW by SAS
#5Verify side ratios are equal, from least to greatest:
ML/QR = 10.5/7 = 1.5LN/PR = 12/8 = 1.5MN/PQ = 18/12 = 1.5Since ratios are same, the triangles are similar by SSS
#2Ratio of corresponding sides:
(x + 2)/3 = 10/(x + 1) = 8/4
x + 2 = 6 ⇒ x = 4x + 1 = 5 ⇒ x = 4#3Ratio of corresponding sides:
18/3x = (x + 1)/15 = 9/13.5
6/x = 2/3 ⇒ x = 9(x + 1)/15 = 2/3 ⇒ x + 1 = 10 ⇒ x = 9Please help me !!!!!
Answer:
3/8
Step-by-step explanation:
If 1 and 3 are odd numbers then all you have to do is count the number of 1 and 3's(3). then count the number of numbers (8).
4x+5≥9? it's not gonna let me upload the picture btw srry
Answer:
x≥1
Step-by-step explanation:
Find the equation the line with an x-intercept at (-3, O) and y-
intercept at (0, -6).
Enter your answer in slope-intercept form, y= mx +b.
Step-by-step explanation:
So in here we can put the y-intercepts and x-intercepts together as (x, y), (x, y). (-3,0), (0,-6). And let's name them as X one, Y one and X two, Y two.
After that let's find the gradient(m) frist :
m = x-x1 / y - y1
= 0 - - 3 / -6 - 0
= 3/-6
= - 1/2
Then let's find the equation of the line :
Now we need to take one of the ys and xs we
had, (-3,0) and (0,-6). Let's take (-3,0) and the
m which is -1/2 :
y-y1 = m (x-x1)
y - 0 = -1/2 ( x - - 3)
y = -1/2 ( x +3)
y = - 1/2x - 3/2
Hope u find this helpful : )