All categories

3 years ago

A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches.

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

the formula represent the correct way is π(4)^2 (5)

Step-by-step explanation:

The formula that represent the correct way to calculate is given below:

As we know that

Volume = πr^2 h

where

r denotes the radius i.e. 4 inches

And, h denotes the height i.e. 5 inches

Now placed these values to the above formula

So,

= π(4)^2 × 5

= 80π in^3

Hence, the formula represent the correct way is π(4)^2 (5)

aleksandrvk [35]3 years ago

5 0

Answer: the answer is D.

Step-by-step explanation:

You might be interested in

Moesha is (3g+1) years old and shanti is twice moesha age. find the sum of the ages of moesha and shanti in 2 years time.

SpyIntel [72]

Answer:

1. In 2 years, sum of the ages of Moesha and Shanti = 9g + 7

2. When Moesha's age is twice her present age, Shanti's age will be thrice Moesha's present age.

3. 4 years ago, Moesha was 12 years old and Shanti was 28 years old if g = 5.

Step-by-step explanation:

Moesha's age = 3g + 1

It is given that Shanti's age is twice Moesha's age.

So, Shanti's age = 2(3g + 1)

= 6g + 2

In 2 years time,

Moesha's age = (3g + 1) + 2 = 3g + 3

Shanti's age = (6g + 2) + 2 = 6g + 4

Hence, sum of the ages of Moesha and Shanti = (3g + 3) + (6g + 4)

= 9g + 7

Moesha's age will be twice her present age in 3g + 1 years.

After 3g + 1 years, Shanti's age will be (6g + 2) + (3g + 1) = 9g + 3 years.

= 3(3g + 1)

= thrice Moesha's present age

Hence, when Moesha's age is twice her present age, Shanti's age will be thrice Moesha's present age.

If g = 5,

Moesha's present age = 3g + 1

= 3(5) + 1

= 15 + 1

= 16

Shanti's present age = 6g + 2

= 6(5) + 2

= 30 + 2

= 32

Hence, 4 years ago, Moesha was 16-4 = 12 years old and Shanti was 32-4 = 28 years old.

8 0

3 years ago

The differences Between <br><br> Work done against friction and work done<br> against gravity

hoa [83]

Answer:

work done against friction: (a) if a body is moved horizontally against the frictional force this type of work is work done against friction.

(b) for example sliding a box and rolling a drum

work done against gravity: (a) if a body is moved vertically upwards against the gravity of the earth, this type of work is work done against gravity

(b) for example lifting and throwing of a body upward

Step-by-step explanation:

hope it's helpful

5 0

2 years ago

WILL MARK BRAINIEST!!1 PLZ HELP!25 points!!! The coordinate grid shows points A through K. What point is a solution to the syste

marishachu [46]

Answer:

A, C, D and K

Step-by-step explanation:

Inequalities:

y ≤ −2x + 10 and y >1/2x-2

<u>Finding zeros for the first inequality:</u>

x=0 ⇒ y= 10, point (0, 10)
y=0 ⇒ x= 5, point (5, 0)

Locating these 2 points and connecting to get the first line.

Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.

<u>Finding zeros for the second inequality:</u>

x=0 ⇒ y= -2, point (0, -2)
y= 0 ⇒ x= 4, point (4, 0)

Locating these points and connecting to get the second line.

Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.

Now we have the space of intersection of the above inequalities.

So the points in same section are the solution.

They are:

Points A, C, D and K

See attached for explanation

7 0

4 years ago

PLEASE HELP!! URGENT

Slav-nsk [51]

1. The problem statement tells you to find "the area of the hexagonal face".

2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.

3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.

4. The formula for the area of a circle in terms of its radius is

... A = πr²

5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is

... A = (3√3)/2·r²

6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.

7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.

8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.

9. The area of the hexagon is

... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²

10. The area of the circle is

... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²

11. The area of the hexagonal face is approximately ...

... 166.277 mm² - 50.265 mm² = 116.01 mm²

6 0

3 years ago

41. The Boca Grande Causeway in Florida is about

Paha777 [63]

The length of the Boca Grand Causeway is 126,000 feet

<h3>What is the length of the Boca Grand Causeway?</h3>

Multiplication is the continual addition of two or more numbers of equal sizes. The value gotten after multiplication is the product. Multiplication is one of the basic mathematical operations. The sign used to denote multiplication is x. Other basic mathematical operations include addition, subtraction and division.

Length of the Boca Grand Causeway = length of the golden gate bridge x 14

9,000 x 14 = 126,000 feet

To learn more about multiplication, please check: brainly.com/question/13814687

#SPJ1

3 0

2 years ago