A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?
If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.
The snowcone is a sphere.
Volume of a spherevolume = 4 / 3πr³
where
r = radiusTherefore,
volume of the snowcone = 4 / 3 × π × 4³
volume of the snowcone = 256 π/ 3 = 85.33π
Therefore, the volume of the cone canbe found as follows:
volume of the cone shaped paper = 1 / 3 πr²h
h = 12 cm
r = 6cm
volume of the cone shaped paper = 1 / 3 × π × 6² × 12
volume of the cone shaped paper = 144π
Therefore, let find if the ice melt in the cone whether it will overow.
144π - 85.33π = 58.67π
Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.
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Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter?
1 pound - 0.454 kilograms.
1 foot - 0.305 meters.
A: 6.34 kg/m
B: 6.84 kg/m
C: 7.44 kg/m
D: 7.94 kg/m
Answer:
b
Step-by-step explanation:
if you add it all together that's the answer hope this helps!
which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),
Answer:
[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]
Consider right triangle AJKL below.
K
L
60
5.2
3
J
Which expressions represent the length of side KL?
write the equation, please.
Answer:
x^2+y^2 = 49
Step-by-step explanation:
This is a circle.
The generic equation of a circle is
(x-h)^2+ (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center of the circle is at the origin which is (0,0)
The radius is 7
(x-0)^2+(y-0)^2 = 7^2
x^2+y^2 = 49
Answer:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
Step-by-step explanation:
we are given a circle
we want to figure out the equation of the circle
remember that,
[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]
(h,k) are the centre of the circle
we can clearly see that the centre of the circle is (0,0) and the redious is 7 units
thus substitute:
[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]
further simplification is needed:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
and we are done!
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
A trout swam at a steady speed for 1.5minutes. It swam 9,900 centimeters in that time. What was its speed?
Answer:
6,600 cm per minute
Step-by-step explanation:
I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?
Answer:y=-3
Step-by-step explanation:
The value of the asymptote of the function is,
⇒ y = - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
g(x) is an exponential function shown in the graph.
We know that;
On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.
Hence, From graph,
The value of the asymptote of the function is,
⇒ y = - 3
Thus, he value of the asymptote of the function is,
⇒ y = - 3
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Solve for x if: y = -6 and -10x + 7y = 18
A) 8
B)-18
C)-6
D)9
Answer:
Step-by-step explanation:
-10x+7(-6)=18
-10x-42=18
+42 +42
___________
-10x/-10=60/-10
x= -6
HELP ME ASAPPPPPPPPPPPPPPP
Answer:
a because i said so trust me
Step-by-step explanation:
Answer:
The number of students that the club needs is at least 8
Step-by-step explanation:
The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.
PLEASE HELP i’m not sure!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
B is wrong because the big one has two curve
C is wrong because the smallest one is not in the same position
D is wrong because the middle line of the biggest one is than the middle line of the smallest one
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?
Answer:
Anas= RS 1200
Ahsan= RS 800
Step-by-step explanation:
Given data
Amount= Rs 2000
Ration= 6:4
Combined ratio = 6+4= 10
Let us apply the part to all method to solve for the individual amount
For Anas
2000/10= x/6
cross multiply
10x= 2000*6
10x= 12000
x= 12000/10
x= 1200
For Ahsan
2000/10= x/4
cross multiply
10x= 2000*4
10x= 8000
x= 8000/10
x= 800
Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *
Answer:
$135
Step-by-step explanation:
She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.
In the figure,Line x is parallel to line y. identify the angles congruent to angle 3
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation:
Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23
Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10
A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
Gina is four years younger
than twice David's age. Gina
is 18. How old is David?
Answer:
44
Step-by-step explanation:
Gina is four years younger so
18+4=22
since its twice davids age
22×2=44
The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.
Check out the image
Answer:
oop, okay
Step-by-step explanation:
Answer:
twitter should work
go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up
example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites
Step-by-step explanation:
The cost of a holiday is £2400
Rana pays a deposit followed by monthly payments, in the ratio
deposit : total of the monthly payments = 3:5
She makes 6 equal monthly payments. Work out her monthly payment
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.
Then the total of the monthly payment will be given as,
£2400 / Total of the monthly payments = 3:5
Total of the monthly payments = (5/3) x £2400
Total of the monthly payments = £4,000
She makes 6 equal monthly payments. Then the monthly payment will be given as,
Monthly payment = £4,000 / 6
Monthly payment = £666.67
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
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Solve for [tex]x:logx 37 = 2[/tex]
x^2=37 ===》 x = + radical 37( acceptable )
===》 x = - radical 37(unacceptable)
If 4c + 10= 20 -16c, what is 8c?
(PLEASE HELP)
Find the area of the triangle.
Answer:
3.15km²
Step-by-step explanation:
A = bh/2
how do you solve this?
Answer:
x=110(by vertical opposite angle)
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
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30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?
Answer:
There are 50 students in total in the school play, acting and working behind the scene.
Step-by-step explanation:
Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:
100%-30%=70%
Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:
70% → 35
100% → x
x=(100*35)/70
x=50
According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.