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zepelin [54]
3 years ago
15

A mailbox that is 4 feet tall cast a shadow that is 12 feet long. A street lamp across the street is 10 feet tall. Use indirect

measurements to find the length of the street lamp's shadow.
Mathematics
2 answers:
Rus_ich [418]3 years ago
6 0
Draw it out first, so start out by drawing the mailbox (or just a line, it's math, not art) and then draw the 12 foot shadow. Okay, so now you know the other lamp is 10 feet tall.

The goal here is to find out the shadow of the 10 foot tall pole. So this would be x.

Making a proportion would help the most on this problem so you would say the following:

4 / 12 = 10/x, solve for x
Free_Kalibri [48]3 years ago
3 0
Proportion: 4/12=x/10
Answer: x=3 1/3
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Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y
omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14

This can be represented in matrix form as

AX=B Or

\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]

So solution set

X would be A^{-1} B

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

-1    0    -1

-2   -1     -3

0     1      2

So inverse of A is

1    2   0

0   1     -1  

1     3      -2

Solution set would be

x=12

y=-3

z=-5

8 0
3 years ago
Once again... we almost finish, solve for x
algol13

Answer:

x = 34

Step-by-step explanation:

Angles are supplementary:

x + 7 + 4x + 3 = 180

5x + 10 = 180

5x = 170

x = 34

3 0
3 years ago
What number times 3 is 18?
kobusy [5.1K]

Answer: 6

Step-by-step explanation:

6+6=12 12+6=18 thus 6 times 3 is 18

7 0
3 years ago
Read 2 more answers
A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr
docker41 [41]

Area of wooden support is 36 square inches

<em><u>Solution:</u></em>

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

<em><u>The area of trapezoid is given as:</u></em>

area = \frac{a+b}{2} \times h

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36

Thus area of wooden support is 36 square inches

6 0
4 years ago
Let g be the function given by g(x)=x^2*e^(kx) , where k is a constant. For what value of k does g have a critical point at x=2/
ArbitrLikvidat [17]
G `( x ) =2x * e^{kx}  + k x^{2} *e^{kx} = \\  = xe^{kx}(2 + kx )
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
k = - 3
Answer: for k= - 3, the function g ( x ) have a critical point at x = 2/3. 
8 0
3 years ago
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