Answer:
Yes, the circumference will always double when the radius is doubledSimple Explanation: For example, 2 is the given radius, we can double 2 and get 4 as our diameter, then times pi. We get 4 pi as our initial circumference.
When we double the radius, we have a given radius of 4, and to find the diameter we get 8. 8 times pi= 8 pi. This is the simple version of the below example
Full Example:
Radius - 3
Pretend the radius is 3, do 3*2 and get the diameter of 6, then times 3.14 equals 18.84. So the current circumference is 18.84.
Now to find the new circumference. Now the radius is 6. To find the diameter we can do 6*2 and get 12. Now to find circumference; 12 x 3.14 = 37.68. 37.68 / 18.84 = 2
The volume of a spherical balloon with a radius of 2.2 cm is about 45 cm cubed. Estimate the volume of a similar balloon with a radius of 8.8 cm.
Answer:
180 cm cubed
Step-by-step explanation:
2.2=45
8.8=?
2.2*x=8.8
8.8/2.2=4
x=4
45*4=180 cm cubed
mark me brainliest :)
Which is closest to the distance between the two points on the graph?
(1,4)
x
• (-4, -1)
A. 4
OB.
7
C.
25
D. 50.
Distance Formula:
[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Let's define what is given to us in the problem.
We are given two points:
(1, 4)(-4, -1)We can correspond these to our Distance Formula points:
[tex]\displaystyle (x_1 ,\ y_1) = (1 ,\ 4)[/tex][tex]\displaystyle (x_2 ,\ y_2) = (-4 ,\ -1)[/tex]Step 2: Find DistanceNow that we have defined our set of points, we can substitute them into the Distance Formula:
[tex]\displaystyle\begin{aligned}d & = \sqrt{(-4 - 1)^2 + (-1 - 4)^2} \\& = \sqrt{(-5)^2 + (-5)^2} \\& = \sqrt{25 + 25} \\& = \sqrt{50} \\& = \boxed{ 5 \sqrt{2} } \\\end{aligned}[/tex]
∴ the exact distance between the two points is equal to:
[tex]\displaystyle \boxed{ d = 5 \sqrt{2} }[/tex]
The question asks what the closest distance is. In other words, we need to approximate our answer:
[tex]\displaystyle\begin{aligned}d & = 5 \sqrt{2} \\& = 5(1.41421356237) \\& = 7.07106781187 \\& \approx \boxed{ 7 }\end{aligned}[/tex]
∴ the approximate distance between the two points is equal to:
[tex]\displaystyle \boxed{ d \approx 7 }[/tex]
∴ the closest to the distance between the two points on the graph is B. 7.
___
Learn more about distance formula: https://brainly.com/question/26400836
Learn more about Algebra II: https://brainly.com/question/26312998
___
Topic: Algebra II
Unit: Advanced Graphing
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a force of 120N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180N at a 40° angle with the horizontal. What is the magnitude of the horizontal force exerted on the statue?
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
Jenna calculated several numbers in her calculator.The results display-1.7E-4 on the calculator screen. Which equipment number(s) does this represent? Select all that apply.
Answer:
A) -1.7 x 10^-4 D)-0.00017
Step-by-step explanation:
Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.
Answer:
A) -1.7 x 10^-4 D)-0.00017
Step-by-step explanation:
Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.
Step-by-step explanation:
which rule would best describes this pattern 8,4,10,6,12,8,14
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
A savings account pays 4 1/2% interest. How much interest
will be earned on $450 in 3 years? How much money will
be in the account in 3 years?
i already know the answer i just need help solving it help!!!
Answer: Amount in account after 3 years $513.52
Interest accrued in 3 years is $63.52
Step-by-step explanation:
450 x 4.5% = 20.25
Add to balance 20.25 + 450 = 470.25
470.25 x 4.5% = 21.16
Add to balance 21.16+470.25=491.41
491.41 x 4.5% = 22.11
Add to balance 22.11 + 491.41 = 513.52
David tosses two coins the possible outcomes for tossing two coins is given what is the probability of both coins landing on heads as a reduced fraction
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Find the area of the regular polygon.
Round to the nearest tenth.
5 square root of 3cm
Still need help sorry if im annoying
Answer:
ABX and EDX
Step-by-step explanation:
it is because they both have 2 sides and one angle. :D
Answer:
the first one
Step-by-step explanation:
What is the standard form for the quadratic function? f(x)=(x−3)2+5 f(x)=x2−4
f(x)=x2+14
f(x)=x2−6x+14
f(x)=x2+6x−4
Answer:
x^2-6x + 14
Step-by-step explanation:
Here, we want to
write the standard form of the quadratic equation in the question.
This can be written by expanding the bracket.
F(x) = (x-3)^2 +5
F(x) = (x-3)(x-3) + 5
F(x) = x(x-3)-3(x-3) +5
F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14
Please help urgently!
Answer:
[tex]a=-6\quad and \quad b=8[/tex]
Step-by-step explanation:
[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]
By comparing the last expression with [tex]a+b\sqrt{2}[/tex], we get:
[tex]a=-6\quad and \quad b=8[/tex]
Best Regards!
I am really struggling with this question. please help.
Answer:
f(5)=23Solution,
Here, n=5 which is x>0
f(x)=4x+3
=4*5+3
=20+3
=23
Hope this helps...
Good luck on your assignment..
Which of the following are like radicals? Check all of the boxes that apply.
Answer:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Step-by-step explanation:
Data obtained from the question include:
3x√x²y, –12x√x²y, –2x√xy², x√yx²,
–x√x²y², 2√x²y
Like radical in this case talks about those havin the same entity in the square root.
With a careful consideration of the data obtained from the question, the like radicals are:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:
A) [tex]3x\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
B) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
C) [tex]-2x\sqrt{xy^2}[/tex]
This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.
D) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
E) [tex]-x\sqrt{x^2y^2}[/tex]
This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.
F) [tex]2\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
So, the correct options are A), B), D), and F).
For more information, refer to the link given below:
https://brainly.com/question/16181471
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.
The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is
Answer:
l=20m
w=5m
Step-by-step explanation:
Let "l" be the length of the rectangle &
let "w" be the width of the rectangle
l=15+w
P=2(l+w)
50m=2(15m+w+w)
50m=2(15+2w)
50m=30m+4w
20m=4w
w=5m
l=15m+w
l=15m+5m
l=20m
Proof:
P=2(l+w)
P=2(15m+w+w)
50m=2(20m+5m)
50m=40m+10m
50m=50m
x-5y=-15 Complete the missing value in the solution to the equation (-5,__)
Answer:
Ok,(-5,__) means that -5 is the x intercept and the missing number is the y intercept
So, We need to substitute x with -5 in the equation to get the value of y
x-5y=-15
-5-5y=-15
-5y=-15+5
-5y=-10
-5y/-5=-10/-5
y=2
So,the missing value is 2. (-5,2)
I hope this help.Please give me the brainliest
Step-by-step explanation:
Answer: the answer (-5,2)
Please answer within 5 minutes for brainliest!!!!
Answer:
y=4x-9
Step-by-step explanation:
The ratio of girls to boys in Liza’s classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students?
Answer:
Number of girls = 15
Step-by-step explanation:
girls : boys = 5 : 4
Number of girls = 5x
Number of boys = 4x
Total students = 27
5x +4x = 27
9x = 27
x = 27/9
x = 3
Number of girls = 5x = 5*3 = 15
which number produces an irrational number when added to 0.25
Answer:
0.25=25/100. This is a rational number. It can only change to be irrational if it is multiplied with an irrational number.
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Answer:
2nd option.
Step-by-step explanation:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
-12x - 6x < -30 - 24
-18x < -54
x > 3
Answer:
2nd graph
Step-by-step explanation:
3(8 – 4x) < 6(x – 5)
Distribute
24 -12x < 6x -30
Add 12x to each side
24-12x+12x < 6x-30+12x
24 < 18x-30
Add 30 to each side
24+30 < 18x-30+30
54 <18x
Divide by 18
54/18 < 18x/18
3<x
Open circle at 3 and line going to the right
.- Calcule el interés producido por un capital de 4 500 dólares al 5% de interés simple anual en 8 meses.
Answer: $150
Step-by-step explanation:
Hi, the question says:
Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.
To answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t = years
Since 1 year = 12 months;
For 8 months:
8/12 = 2/3 years
Replacing with the values given
I = 4500 x (5/100) x 2/3
I = $150
Feel free to ask for more if needed or if you did not understand something.
Solve the system using elimination. 3x + y = 27 –3x + 4y = –42
Answer:
x=10, y=-3
Step-by-step explanation:
3x+y=27
-3x+4y=-42
Add the two equations together:
5y=-15
Divide both sides by 5:
y=-3
Plug this back into one of the original equations to solve for x:
3x-3=27
3x=30
x=10
Hope this helps!
Write 100 times 100 as multiplying 10 to a power by 10 to a power.
Answer:
10^2*10^2
Step-by-step explanation:
1) Write 100*100 in as powers of 10: 10^2 * 10^2
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
answer B. -5
Step-by-step explanation:
hello
fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5
hope this helps
Answer: It is B. -5
of a class of 32 students ,17 study music and 20 studyart what is the least number of students who could study both music and art
Answer:
5
Step-by-step explanation:
please help!
Simplify: ✓25
Answer:
5
Step-by-step explanation:
5 times 5 = 25
Answer:
5
Step-by-step explanation:
5×5=25 so thats why its 5
Someone please help me with question 3.b)
Answer:
AM = 12.87 cmCM = 8.578 cmOD = 23.66 cmStep-by-step explanation:
Since the figure is symmetrical, angle MOA will be half of angle BOA, so will be 130°/2 = 65°. The tangent ratio is useful here. It tells you ...
tan(MOA) = MA/OA
AM = OA·tan(MOA) = 6·tan(65°)
AM ≈ 12.87 . . . cm
__
Similarly, ...
CM = 4·tan(65°)
CM ≈ 8.578 . . . cm
__
The cosine ratio is useful for finding OD.
cos(MOA) = OA/OM
OM = OA/cos(MOA) = 6/cos(65°)
Similarly, ...
DM = 4/cos(65°)
The length we want is OD, so ...
OD = OM +DM = 6/cos(65°) +4/cos(65°) = 10/cos(65°)
OD ≈ 23.66 . . . cm
using the side lengths, determine whether the triangle is acute, obtuse or right 9 5 10
An acute triangle
Step-by-step explanation:
Using a calculator, these measurements fit an acute scalene triangle.
Answer:
acute
Step-by-step explanation:
Let f(x)=5x and g(x)= -x+1. Find f o g(ONLY 2 HOURS TO ANSWER!)
Answer: (b) -5x + 5
Step-by-step explanation:
f(x) = 5x g(x) = -x + 1
f(g(x)): g(x) = -x + 1 f(-x + 1) = 5(-x + 1)
= -5x + 5
3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
