All categories

3 years ago

If a 40-foot tree casts a 12-foot shadow, find the length of the shadow cast by a 28-foot tree

Mathematics

2 answers:

kiruha [24]3 years ago

8 0

12/40 =0.3

28 *0.3 = 8.4

it will cast a 8.4 foot long shadow

Slav-nsk [51]3 years ago

6 0

Answer:

The shadow cast by a 28-foot tree is 8.4 foot.

Step-by-step explanation:

The rule of three is a way of solving problems of proportionality between three known values and one unknown, establishing a relationship of proportionality between all of them. In the case of direct proportionality, when one magnitude increases, the other increases ( or if one magnitude decreases, the other will also decrease)

This is an example of application of this rule:

40 foot tree ⇒ 12 foot shadow

28 foot tree ⇒ x foot shadow

Then, to solve and calculate the value of x, which is the value of the shadow cast by the 28-foot tree, perform the count:

x= $\frac{28*12}{40}$

x= $\frac{336}{40}$

x=8.4

This means that the shadow cast by a 28-foot tree is 8.4 foot.

You might be interested in

What is the sum or whatever of this equation. This equation is V = πx3^2x8

navik [9.2K]

Answer:

$V=226.08$

Step-by-step explanation:

To evaluate $V$ from the following expression:

$V=\pi\times3^2\times 8$

Taking $\pi=3.14$

$V=3.14\times 3^2\times 8$

$V=3.14\times 9\times 8$

∴ $V=226.08$

6 0

2 years ago

A stereo system is being installed in a room with a rectangular floor measuring 19 feet by 12 feet and a 7-foot ceiling. The st

krek1111 [17]

Answer:

The shortest length of wire that can be used is 29.47 ft.

Step-by-step explanation:

To solve this problem we can follow the following steps:

1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.

$L = \sqrt{12^2 + 19^2}\\\\L= 22.47\ ft$

2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. Observe the attached image

3) The final distance (d) is:

$d = 22.47\ ft + 7\ ft\\\\d = 29.47\ ft$

6 0

2 years ago

(8+2b)+(-4+6x)+(6+9m)

ANTONII [103]

Answer:

2 b + 9 m + 6 x + 10

Step-by-step explanation:

2 b + 4 + 6 x + 6 +9 m

2 b + 6 x + 10 + 9m

2 b + 6 x + 9 m + 10

= 2 b + 9 m + 6 x + 10

3 0

2 years ago

Read 2 more answers

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s

timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

$y = 2x + 5$ --- equation

$y = 5$ --- y intercept

$m = 2$ --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

$(x_1,y_1) = (15,35)$