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2 years ago

10

Marissa is standing next to an 18-foot tall flagpole that is casting a 12 foot long shadow. If Masissa's shadow is 3 1/2 feet lo

ng, how tall is marissa?

2 answers:

Nat2105 [25]2 years ago

6 0

Answer:

5'2"

Step-by-step explanation:

Slav-nsk [51]2 years ago

4 0

Answer: 5.25ft

Step-by-step explanation:

See picture

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i

Gwar [14]

Answer:

The solutions for the given system of equations are:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

Step-by-step explanation:

Given the equation system:

$\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.$

We obtain the following matrix:

$\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]$

<u>Step 1:</u> Multiply the fisrt row by 1/3.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]$

<u>Step 2:</u> Sum the first row and the second row.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]$

<u>Step 3:</u> Multiply the second row by 3/4.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]$

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

$\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]$

The result of the reduced matrix is:

$\left \{ {{x=-5} \atop {y+4z=12}} \right.$

This is equal to:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0

3 years ago

The table shows the median home prices in Florida. What is the equation of a trend line that models a relationship between time

Diano4ka-milaya [45]

<span>1965 $50,400? not 100% sure!

hope it helped</span>

4 0

3 years ago

Read 2 more answers

What are the length(s) of the sides labeled a and b in the triangle below?

neonofarm [45]

Answer:

14 and 14

Step-by-step explanation:

this is because it is a isosceles triangle and it has a specific rule.

8 0

2 years ago

Read 2 more answers

A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the boots is $13

kondaur [170]

Answer:

Part A = $180

Part B = $104

Step-by-step explanation:

Part A:

You do 255÷5=51

51 x 4 = 180

Part B:

You do 130÷5=26

26 x 4 = 104

7 0

2 years ago

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7. Fred had 85 marbles. After a few games, he had 120% of his original number. How many

Gnoma [55]

Answer:

102 marbles

Step-by-step explanation:

100% of 85 is 85.

20% of 85 = 17

85 + 17 = 102

Hope that helps!

4 0

3 years ago