The radius of the balloon given the information in the question is 8.98cm.
What is the radius of the balloon?The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
I will give brainliest if you answer please
Answer:
KN = 11
Step-by-step explanation:
In right triangle LNM, by Pythagoras theorem:
[tex]LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60[/tex]
In right triangle LNK, by Pythagoras theorem:
[tex]KN = \sqrt{LK^2-LN^2}[/tex]
[tex]\implies KN = \sqrt{(61)^2-(60)^2}[/tex]
[tex]\implies KN = \sqrt{3721-3600}[/tex]
[tex]\implies KN = \sqrt{121}[/tex]
[tex]\implies\huge{\orange{ KN =11}}[/tex]
Answer:
11[tex] \: [/tex]
Step-by-step explanation:
Before, Finding the length of KN, we must have to find the length of LN. So
[tex] \: [/tex]
Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).
[tex] \: [/tex]
We'll find the measure of third side with the help of the Pythagorean theorem.
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (NM) is 80The perpendicular is LNThe hypotenuse (LM) is 100.[tex] \: [/tex]
So, substituting the values in the above formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\[/tex]
Therefore,
The length of LN is 60.[tex] \\ [/tex]
As, we found the length of LN, now we can find the length of KN.
Where,
The base is KNThe perpendicular (LN) is 60.The hypotenuse (LK) is 61.So, in the right angled triangle LKN, by Pythagorean theorem we get,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\[/tex]
Therefore,
The length of KN is 11.A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Please help me
Answer:
230=8X+27.75X
230=35.75X
x = 6 Rounded down
8*6=48
27.75*6=166.5
48+166.5=214.5
Amount of frindes can go is 6
Step-by-step explanation:
Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.
P(even or less than 4)
Answer:
total 6
even 2, 4, 6
even or less than 4: 2, 4
p = 2/6 = 1/3
brainliest?
Kate and Patty are both saving money to go to a Red
Sox game. Patty has $60 already and decides to put
$10 per week into her savings, while Kate doesn't have
any money to start, but commits to saving $25 every
week.
After 6 weeks, who will have more money saved?
EXPLAIN HOW YOU KNOW.
Answer:
kate will have more money
Step-by-step explanation:
cuz Kate have 25$ × 6 weeks = 150$
in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$
help me please! THis is the last one i need hurry!!!!!!!!
Answer:
900 in^2
Step-by-step explanation:
Triangle area = ( b x h )/ 2
rectangle area = b x h
------------------------------------------
triangle:
30 * 40 / 2 = 600 in^2
rectangle:
30 * 20/2 = 300 in^2
---------------------------------------
600 + 300 = 900 in^2
Write an equation in slope-intercept form that is parallel to y - 5x = 10 and passes through the point (2, -4).
Answer:
y = 5x - 14
Step-by-step explanation:
*Parallel lines have the same slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y - 5x = 10 <== add 5x to both sides
+ 5x + 5x
y = 5x + 10
The slope of the line that is parallel to this line is 5.
We need to find the y-intercept (b) for the parallel line using (2, -4):
y = 5x + b <== substitue 2 for x and -4 for y
-4 = 5(2) + b
-4 = 10 + b <== subtract 10 from both sides to isolate b
-10 -10
-14 = b
y = 5x + b changes to y = 5x - 14
Hope this helps!
Slope:-
m=5Parallel lines have equal slope
passes through (2,-4)Equation in point slope form
y-y1=m(x-x1)y+4=5(x-2)y+4=5x-10y=5x-14Please help me with algebra question will mark brainliest to first person with a real answer
Answer:
367/90
Step-by-step explanation:
As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.
The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?
Answer:
60
Step-by-step explanation:
bceuase i got it right just multiply
The graph of g(x)=(x-12)^2 is the graph of f(x)=x^2 translated ____ units
[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]
pleessss helpppp for brainlyyyyy
$37.51 - the third option above
Step-by-step explanation:
A
1600 x 1.053^3= 1868.12
B
1600x1.06^3 =1905.63
Difference
1905.63-1868.12= 37.51
$37.51
Hope this helps!
The circumference of a circle is 31.4 metres. What is the circle's diameter?
Answer:
9.99m
Step-by-step explanation:
d≈9.99m
C Circumference
31.4m
Using the formulas
C=2πr
d=2r
Solving ford
d=C
π=31.4
π≈9.99493m
Help me please. I really neeed it
Answer: You need to put the same shape as it shows there on the top.
Step-by-step explanation: I hope this helped you.
Solve for x in the equation x squared minus 12 x 36 = 90.
Answer:
x = ±3√58
Step-by-step explanation:
Given
x² - (12 x 36) = 90Solving
x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58Answer:
[tex]x =[/tex] ± [tex]22.85[/tex]
Step-by-step explanation:
Step 1: Multiply 12 * 36
[tex]x^2 - (12 * 36) = 90[/tex]
[tex]x^2 - 432 = 90[/tex]
Step 2: Add 432 to both sides
[tex]x^2 - 432 + 432 = 90 + 432[/tex]
[tex]x^2 = 522[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{522}[/tex]
[tex]x =[/tex] ± [tex]22.85[/tex]
Answer: [tex]x =[/tex] ± [tex]22.85[/tex]
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.
Answer:
Below in bold.
Step-by-step explanation:
By proportion she can make 3 1/3 * 1 / 2 1/2 truffles
= 10/3 * 1 / 5/2
= 10/3 * 2/5
= 20 / 15
= 1 1/3 dozen truffles from 1 pound chocolate.
1 1/3 dozen truffles is made from 1 pound
4/3 . . .. .. .. .. .. .. 1 pound
1 . . .. .. .. .. .. .. 3/4 ..
5 . . .. .. .. .. .. .. 3/4 * 5 = 15/4 pound of chocalote=
3 3/4 pounds chocolate.
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
Write the following arithmetic series in summation notation.
7+9+11+ . . . +35
..
Answer:
[tex]S_{n}=315[/tex]
Step-by-step explanation:
[tex]a_{1}=7\\a_{2}=9\\a_{n}=35\\[/tex]
d=9-7=2
no of terms n,
[tex]n=\frac{a_{n-a_{1}} }{d} +1[/tex]
[tex]n=\frac{{35}-{7}}{2} +1[/tex]
[tex]n=15[/tex]
sum of series,
[tex]S_{n}=\frac{n}{2} (a_{1}+a_{n})\\\\S_{n}=\frac{15}{2} (7+35})\\\\S_{n}=315[/tex]
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
[tex] \mathbb\red{4\:turning\:points} [/tex]
I forgot how to do this. Can anyone help before tomorrow? Will give brainlist :)) (Also explain the answer atleast a little)
Answer: Below
Step-by-step explanation:
Volume is based off of the formula (base × height/depth), with base being (width × length).
We know the three dimensions of the taller box, so:
7.75 × 2 × 12 = 186
The smaller box is 20% shorter. 12 × 0.8 gives us the 0% height, which is 9.6.
7.75 × 2 × 9.6 = 148.8
Since the problem is asking for the difference of the two volumes we do:
186 - 146.8 = 39.2
Our answer is 39.2
what is the perimeter ?
Answer:
53
Step-by-step explanation:
You get the perimeter by adding up all of the sides. I added them up and got 53
Identify the x-intercept and the y-intercept of the graphs.
Answer:
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
Step-by-step explanation:
y-intercept: the point where the graph intersects the y-axis.
x-intercept: the point where the graph intersects the y-axis.
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
Tara has
cup of ice cream. How many --cup servings are in
3
4
cup of ice cream?
1
5
Answer: 3.75 Cups
3/4=_/20, to get that multiply the bottom number by each other, in doing so,you will get 15/20, now lets make 1/5= to 20, so we get 4/20 so therefore saying 4/20+4/20+4/20=12/20, so you can make 3 1/5 cups and you will have 3/20 (scoops? cups?) left of ice cream, so 3.75 cups
Step-by-step explanation: HOPE THIS HELPS U!!! LOV<3
Dylan has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $30.70? Round to the nearest cent.
Answer:
$6.14.
Step-by-step explanation:
$30.70×20%
there will be after the tax and discount.
Each student needs 3 3/4 feet of string for an art project. The art
teacher orders string by the yard. How many yards should he order for 67
students?
Answer:
83.75 yards
Step-by-step explanation:
3.75 x 67 = 251.25ft
251.25 / 3 = 83.75yards
Karla’s recipe for brownies serves 10 people. She needs to feed 40 people. The ingredients for the original recipe says that she needs 1 3/4 cups of sugar. How many cups of sugar will she need to serve 40 people?
Answer:
7 cups
Step-by-step explanation:
1 3/4 x 4 = 7
Karla will need 7 cups of sugar to serve 40 people.
An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.
Answer:
53.89%
Step-by-step explanation:
total no. obtainable = 80 + 100 = 180
total scores acquired = 22 + 75 = 97
percentage = (total acquired/total possible) × 100
= (97/180) × 100
= 53.89 %
please answer quickly!! what is the exact value of x and y? please leave an answer if you’re going to comment!! (i’ve posted this 3 times)
To solve this problem
⇒ need to use the special right triangle theorem
⇒ 30-60-90 triangle theorem (look at diagram attached for the property)
(we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)Using the theorem:
the side facing opposite the 60-degree angle is equal ⇒ [tex]x\sqrt{3}[/tex][tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]
the side facing opposite the 90-degree angle is twice the value of x[tex]y = 2x = 2 * 17 =34[/tex]
Answers:
x = 17 and y = 34
Hope that helps!
Use substitution to solve the system.
2y-13=x
-4x+5y=40
X=
Y=
y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
The solid below is made from cubes.
Find Its volume.
Answer:
20
Step-by-step explanation:
2x2x5
what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20
Answer:
13.15
Step-by-step explanation:
Shaquana read 34 pages in 1 1/3 hours. At what rate, in pages per hour, did she read
Based on the given conditions, formulate:
34÷1 1/3
Find common denominator and write the numerators above common denominator:
34/3/3+1/3
Write the numerators over common denominator:
34/3+1/3
Calculate the sum or difference:
34/4/3
Divide a fraction by multiplying its reciprocal:34×3/4
Cross out the common factor:
17×3/2
Calculate the product or quotient:
51/2
get the result:
25.5 or 25 1/2
=25.5 or 25 1/2
