All categories

3 years ago

a monument casts a 40-foot shadow. Adam is 6 feet tall and casts a 5-foot shadow. How tall is the monument

2 answers:

4 0

This is a proportion problem. Let the monument me x feet tall.
40/x=5/6
Cross multiply:
240=5x
x=48 ft.
So the monument is 48 ft tall,

Svetllana [295]3 years ago

3 0

Answer:

$48\ ft$

Step-by-step explanation:

we know that

Adam is $6$ feet tall and casts a $5$ -foot shadow

A monument casts a $40$ -foot shadow

by proportion

Find how tall is the monument

Let

x------> the height of the monument

$\frac{6}{5}=\frac{x}{40}\\ \\ x=40*6/5\\\\x=48\ ft$

You might be interested in

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ

castortr0y [4]

We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as

(4/5)/(s+4) + (1/5)/(s-1)

which can be found in a table of transforms to be the transform of

(4/5)e^(-4t) + (1/5)e^t

_____

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)

After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:

A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)

This gives rise to two equations:

(A+B) = 1

(4B-A) = 0

4 0

3 years ago

3. A cone has a heighth and a base with radius r. You want to change the cone so its volume is tripled. What is the new height i

Sphinxa [80]

Answer:

Hence the new height is 3 times the original height .(h1=3h)

Step-by-step explanation:

Given:

A cone with has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

$V=pie*r^2*h/3$

Here V is directly proportional to h i.ee pie ,3 and r being constant

$V=K*h$

i.e V/h=constant

V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e h1=3h

Hence the height is 3 times the original height .

4 0

3 years ago

Nan’s art sculpture is a pyramid. She will cover all the faces with gems, except the base of the pyramid.

marysya [2.9K]

Answer:

it is 54

Step-by-step explanation:

i took the test and checked the answer

6 0

3 years ago

Read 2 more answers

CAN SOMEONE PLS HELP ME !!

algol [13]

The answer is $1505.76

8 0

3 years ago

Please help! I keep getting the answer of 48 centimeters squared but according to the problem that isn't right! Please help!!!!

Alex

Answer:

Its B

Step-by-step explanation:

30×10=300

300×.4= 120

120÷3=60

3 0

3 years ago