The tower below is made up of a square pyramid on top of a rectangular prism. What is the

An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. An oblique c

Vilka [71]

Answer:

The radius of the cone is 3 units

Step-by-step explanation:

An oblique cone is a kind of slanted cone. It is a figure such that the tip of the cone is not directly over the center of the circular base of the cone.

While the method for calculating the area of an oblique and a right-circular cone is different, the method for calculating the volume is the same

Mathematically, the volume of an oblique cone = 1/3 * pi * r^2 * h

in this question, we have the height and the volume but we want to calculate the radius

substituting the value for the volume, the height and radius( radius is half diameter = 2x/2 = x) we have

18 pi = 1/3 * pi * x^2 * 2x

divide through by pi

18 = 1/3 * 2x * x^2

54 = 2x^3

divide both sides by 2

x^3 = 54/2

x^3 = 27

x = cube root of 27

x = 3 units

This is the length of the radius

6 0

2 years ago

A customer/member owes $10.51 and pays $50.00 in cash. The change due is $39.49. Provide the amount owed using the smallest numb

Zigmanuir [339]

The number is 14 bill or coins

Step-by-step explanation:

The method to use the smallest number of bills and coins possible is to utilize the largest denominations possible.

The balance is $39.49

$39.49

-$20.00 -------------a $20 bill is the largest bill not larger than the total ($39.49)

-------------

$19.49

-$10.00--a $10 bill is the largest bill not larger than the remaining ($19.49)

----------

$9.49

-$5.00------a $5 bill is the largest bill not larger than the remaining ($9.45)

----------

$4.49

-$1.00-------a $1 bill is the largest bill not larger than the remaining ($4.49)

---------

$3.49

-$1.00-------a $1 bill is the largest bill not larger than the remaining ($3.49)

----------

$2.49

-$1.00------a $1 bill is the largest bill not larger than the remaining ($2.49)

----------

$1.49

-$1.00------a $1 bill is the largest bill not larger than the remaining ($1.49)

-----------

$0.49

-$0.25---- a quarter is the largest coin not larger than the remaining ($0.49)

----------

$0.24

-$0.10----a dime is the largest coin not larger than the remaining ($0.24)

---------

$0.14

-$0.10--a dime is the largest coin not larger than the remaining($0.14)

---------

$0.04

- a penny, ($0.01) is the largest coin not larger than the remaining ($0.04). Here you have 4 pennies

Now you have Bill and Coin as;

1 $20 bill

1 $10 bill

1 $5 bill

4 $1 bill

1 quarter

2 dime

4 penny

14 bill or coins

Learn More

Bill and coins :brainly.com/question/3871376

Keyword : owes, bills, coins

#LearnwithBrainly

5 0

2 years ago

Apply the distributive property to factor out the greatest common factor. 12 + 20 =

guajiro [1.7K]

We can use prime factorization to find the GCF:

$12 = 3^1 \cdot 4^1$

$20 = 4^1 \cdot 5^1$

The greatest value both 12 and 20 share is 4. By factoring this out of the equation, we get:

4(3 + 5) = 4(8) = 32

6 0

2 years ago

5.

andrew-mc [135]

Answer:

The angle of depression from Platform A to Platform B is $43.1^{\circ}$

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

$Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}$

Hence the angle of depression from Platform A to Platform B is $43.1^{\circ}$

4 0

2 years ago

The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Als

krok68 [10]

Answer:

D.

Step-by-step explanation:

Rate of change is another way of saying "find the gradient".

Sub any value into the gradient formula.

3 0

2 years ago