The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?
Answers
Answer:
5cm
Step-by-step explanation:
Given parameters:
Volume = 45cm³
Radius = 3cm
Unknown:
Height of the cone = ?
Solution:
Volume of cone is given as ;
V = [tex]\frac{1}{3} \pi[/tex] r² h
r is the radius
h is the height
45 = [tex]\frac{1}{3} \pi[/tex]x 3² x h
45 = 3π x h
h = [tex]\frac{45}{3 x3.142}[/tex] = 4.77cm
5cm is the closest answer choice
Related Questions
Enter an equation in point-slope form
The slope of the line is 2/5, and it contains the point: (−2, 7).
Answers
Answer:
y = 2/5x + 39/5
Step-by-step explanation:
point slope form is y = mx + b
so far we have y = 2/5x + b
m is slope which is given. We need to find b which is y-intercept.
They give us the point (-2,7). We can plug this into the equation to find b.
7 = 2/5(-2) + b
7 = -4/5 + b
b = 39/5
The equation now looks like y = 2/5x + 39/5
PLEASE HELP ILL MARK YOU BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
Answer:
C i think
Step-by-step explanation:
You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.
Answers
Answer: The maximum distance is 6 km
Step-by-step explanation:Let
d-----> represent the distance in kilometer
we know that
------> inequality that represent the situation
Solve for d
Brooklyn used the division model to solve the problem
276÷12.
Which quotient matches 276÷12?
A. 3
B. 20
C. 23
D. 50
Answers
Answer:
C. 23
Step-by-step explanation:
Answer:
C. 23
Step-by-step explanation:
12 goes into 276, 23 times
monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally
Answers
Answer:
She originally had 7 necklaces.
Step-by-step explanation:
She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.
Answer:
i think 28 possibly
Step-by-step explanation:
because she bought 4 new ones so 18-4 =14x2 =28?
i don't know if im right but hopefully this helped
someone help me with this please
Answers
Answer:
7.5+8
Step-by-step explanation:
the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?
Answers
Answer: -3 , 3
Step-by-step explanation:
thank me later;)
The sum of 4 consecutive even numbers is 364 A. 91 B. 65 C. 89.5 D. 182
Answers
Answer:
91
Step-by-step explanation:
Sum of the middle two numbers is ''182'' for 4 consecutive even number.
What is Addition?The process of combining or adding two or more numbers is called the Addition.
We have to given that;
Sum of 4 consecutive even numbers = 364
Let 4 consecutive even numbers are,
⇒ (x - 2), x, (x + 2), (x + 4)
So, We can formulate;
⇒ (x - 2) + x + (x + 2) + (x + 4) = 364
Solve for x;
⇒ 4x + 4 = 364
⇒ 4x = 364 - 4
⇒ 4x = 360
⇒ x = 90
Hence, The two middle numbers are,
⇒ (x) = 90
⇒ (x + 2) = 90 + 2
= 92
So, Sum of two middle numbers = 90 + 92
= 182
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The complete question is this,
The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?
Simplify
x + x + y x y?
Answers
Answer: [tex]2x+y^2[/tex]
Step-by-step explanation:
[tex]x\:+\:x\:+\:y\:\cdot \:y[/tex]
[tex]x+x+yy[/tex]
[tex]2x+yy[/tex]
[tex]2x+y^2[/tex]
Answer:
2(x)+[tex]y^{2}[/tex]
Which equation has exactly one solution?.
A. – 4 + 2x = 6x – 4
B. 3x + 5 = 2x – 6
C. 2(4x + 5) = 8x + 10
D. 4x – 8 = 4(x – 4)
Answers
Answer: A( – 4 + 2x = 6x – 4= x=0
Step-by-step explanation: Solve : -4x = 0
Multiply both sides of the equation by (-1) : 4x = 0
Divide both sides of the equation by 4:
x = 0
A table measures 3.5 ft by 2.5 ft. What is the area of the table?
Answers
Answer:
A = 8.75 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a table is
A = Length x Width
Given: Length=3.5ft and Width=2.5ft
A = 3.5ft x 2.5ft = 8.75 [tex]ft^{2}[/tex]
you simply have to multiply each of the measures to get your area.
Sarah was sitting in a seat at a baseball game when another ticket holder showed her she was in the wrong seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right. Which rule describes the translation needed to put Sarah in the correct seat?
Answers
Answer: [tex](x,y) \to (x+3, y-5)[/tex]
The x turning into x+3 means she moves 3 seats to the right
The y turning into y-5 means she moves 5 rows down.
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
Answers
9514 1404 393
Answer:
39 cm
Step-by-step explanation:
1521 = 3·3·13·13 = (3·13)² = 39²
The length of the side of the square is 39 cm.
Need help with this pls
Answers
Answer:
hi
Step-by-step explanation:
hi
hii i need help on another question!
find the total cost to the nearest cent.
$24 shirt; 6% tax
Answers
The answer is $25.44. You need to add the cost of the shirt and the tax together for the answer. The cost of the shirt is $24 and the tax of it is $1.44. So $24 + $1.44 = $25.44.
Answer:
$25.44Step-by-step explanation:
total cost of shirt = $24 x 1.06
= $25.44
Kole and his sister ordered ice cream. He spent $6.50 for his sundae. She ordered the same sundae with sprinkles, which were an extra $0.40. Kole pays for his ice cream and half of his sisters with $10. How much change will he get back?
Answers
Answer:
$0.05
Step-by-step explanation:
because he payed half of his sisters and it was $3.45 and plus his was $9.95 so he got $0.05 back
In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Chicken Feed
• Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume.
• Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume.
On Monday, the pilot transferred containers that totaled 30,000 pounds and 1,600 cubic feet in volume.
1. Write a system of equations to model this situation.
2. Write a matrix equation to model this situation.
3. Solve. How many of each container was transported?
Show your work by uploading a picture or typing in the text box.
Answers
Answer: 500 chicken feed and 200 careful calculators
Step-by-step explanation:
2x+3y=1,600
40x+50y=30,000
those are your first two equations
your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.
a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000
b) The matrix equations are solved
c) The solution to the system of equations is
The number of chicken feed = 500
The number of careful calculators = 200
What is multiplication of matrices?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the number of chicken feed be represented as x
Let the number of careful calculators be y
Now , the equation will be
Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume
And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume
Substituting the values in the matrices , we get
[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]
On simplifying the matrix equation , we get
2x + 3y = 1600 be equation (1)
40x + 50y = 30000 be equation (2)
Now , multiply equation (1) by 20 , we get
40x + 60y = 32000 be equation (3)
Subtracting equation (2) from equation (3) , we get
10y = 2000
Divide by 10 on both sides of the equation , we get
y = 200 careful calculators
Substituting the value of y in equation (1) , we get
2x + 3 ( 200 ) = 1600
2x + 600 = 1600
Subtracting 600 on both sides of the equation , we get
2x = 1000
Divide by 2 on both sides of the equation , we get
x = 500 chicken feeds
Therefore , the value of x and y are 500 and 200 respectively
Hence , the system of matrix equations are solved
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NEED HELP ASAP! Question in the photo.
Answers
Answer:
SAS Postulate
Step-by-step explanation:
You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"
Side AB is proportionate to DE and
Side AC is proportionate to DF.
Angle A and Angle D are the same; and is between the two sides
I hope this helps.
Which of the following represents the lowest speed in miles per hour?
Answers
Answer:
need more to answer can you give like units or something
Step-by-step explanation:
Answer:
need more info
Step-by-step explanation:
distributive property is a property of equality
A) true
B) false
Answers
Answer:
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.
For f(x) = 8x + 8, find f(5).
Answers
Work Shown:
f(x) = 8x + 8
f(5) = 8*5 + 8
f(5) = 40 + 8
f(5) = 48
What is the constant of proportionality?
Answers
Answer:
4 dollars per week
Step-by-step explanation:
a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the large in square feet
Answers
Answer:
The area of larger table is 24 square feet.
Step-by-step explanation:
Given are the length and width of small table
[tex]l_s = 2\ ft\\w_s = 3\ ft[/tex]
The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table
So the length and width of larger table will be:
[tex]l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet[/tex]
The area of larger table will be:
[tex]A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2[/tex]
Hence,
The area of larger table is 24 square feet.
can some one help me with this please and show me how to do this?
Answers
Answer:
1.8
Step-by-step explanation:
Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them togetherPlzz help me (sovle all question in the image)
Answers
suppose that three pennies land heads up and you toss the forth penny. What is the probability of landing heads up?
Answers
Answer:
I'd say the probability is just 50%
Step-by-step explanation:
Solve: 3 + √x+2 = 11
62
64
()
Answers
Answer: its 62
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.
Answers
Answer:
100+x=200
Step-by-step explanation:
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has ?
Answers
This question is incomplete
Complete Question
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.
How many students does the academy have per teacher?Per tutor?
How many tutors does the academy need if it has 80 students
Answer:
a) 18 students per teacher
b) 10 students per tutor
c) 8 tutors
Step-by-step explanation:
a) How many students does the academy have per teacher?
5 teachers for every 90 students
Hence,
5 teachers = 90 students
1 teacher = x students
Cross Multiply
5 × x = 1 × 90
5x= 90
x = 90/5
x = 18 students
We have 18 students per teacher
b) How many students Per tutor?
3 tutors = 30 students.
1 tutor = x students
3 × x = 30 × 1
x = 30/3
x = 10 students
We have 10 students per tutor
c) How many tutors does the academy need if it has 80 students
3 tutors = 30 students.
30 students = 3 tutors
80 students = x tutors
Cross Multiply
30 × x = 80 × 3
x = 80 × 3/30
x = 8 tutors
The school needs 8 tutors for 80 students.
Solve for x. 2/3(x−7)= −2
Enter your answer on the line.
x = __
Answers
Answer: easy x=4
Step-by-step explanation:
have a great thanksgiving
Answer:
The answer will be X=4
Step-by-step explanation: I know this because I just got done learning this stuff.