All categories

3 years ago

A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow.

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

30 feet

Step-by-step explanation:if a man 6 feet talll cast a 3 foot shadow that means its half how tall u are so the pine is 30 feet tall and cast a 15 foot shadow

You might be interested in

Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -

irina [24]

Answer:

$A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]$

Step-by-step explanation:

Given

$T:R^3->R^2$

$T(e_1) = (1,2)$

$T(e_2) = (-4,6)$

$T(e_3) = (2,-6)$

Required

Find the standard matrix

The standard matrix (A) is given by

$Ax = T(x)$

Where

$T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]$

$Ax = T(x)$ becomes

$Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]$

The x on both sides cancel out; and, we're left with:

$A = [T(e_1)\ T(e_2)\ T(e_3)]$

Recall that:

$T(e_1) = (1,2)$

$T(e_2) = (-4,6)$

$T(e_3) = (2,-6)$

In matrix:

$(a,b)$ is represented as: $\left[\begin{array}{c}a\\b\end{array}\right]$

So:

$T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right]$

$T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right]$

$T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right]$

Substitute the above expressions in $A = [T(e_1)\ T(e_2)\ T(e_3)]$

$A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]$

Hence, the standard of the matrix A is:

$A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]$

6 0

3 years ago

Consider the set {4, 5, 7, 7, 8, 8, 12, 13, 13, 15, 18, 20, 22, 24, 26, 27, 27, 37, 43}. What would be an appropriate interval t

adelina 88 [10]

Proper interval would be 5

8 0

3 years ago

Lisa solved 448 math problems for homework over 28 days if she solved the same number of problems each day, how many problems di

SpyIntel [72]

Let P = number of problems solved per day.

P = 448/28

P = 16

Lisa solved 16 problems per day.

7 0

3 years ago

A simple one-celled organism divides into two identical

kolezko [41]

24 single felled organisms there are to 30 minute periods in each hour which produces 2 organisms that is 12 periods and 12 multiplied by 2 is 24

8 0

2 years ago

55% of the attending crowd was female. If the crowd has 1345 people, how many females are there ?

Assoli18 [71]

Not sure but maybe 740

3 0

2 years ago