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erma4kov [3.2K]

3 years ago

8

Perform the indicated matrix row operation and write the new matrix

1 answer:

Ne4ueva [31]3 years ago

5 0

The given operation involves just swapping the two rows, so carrying out $R_1\leftrightarrow R_2$ on the matrix gives

$\left[\begin{array}{cc|c}5&5&5\\1&-\dfrac23&5\end{array}\right]\to\left[\begin{array}{cc|c}1&-\dfrac23&5\\5&5&5\end{array}\right]$

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Use similar triangles to solve. a person who is 5 feet tall is standing 99 feet from the base of a tree, and the tree casts a 1

kondaur [170]

This problem is about ratios.

$\frac{height}{shadow} = \frac{5ft \:}{11ft} = \frac{x}{110}$

Solve for X

$x = \frac{5 \times 110}{11} = 50ft$

The tree is 50ft tall.

5 0

3 years ago

The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm

hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

$V=100+20m$ (in litres)

<em>m</em> is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for $5\frac{1}{4}$ minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

$V=100+20m$ ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = $5\frac{1}{4}$ minutes = $\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}$ minutes

And we have to find the value of V after $\frac{21}{4}$ minutes.

Let us put the value of m as $\frac{21}{4}$ minutes in the equation (1) to find the value of V.

$V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}$

So, the volume of water in the pool after $\frac{21}{4}$ minutes is <em>205 litres.</em>

7 0

3 years ago

Perform the operation indicated, then place the answer in the proper location on the grid. The perimeter of a triangle is 7a - 1

vlada-n [284]

Answer: 4 a - 3 b

Step-by-step explanation:

Since, the perimeter of the triangle = sum of all the three side of the triangle.

Here, two sides of the triangle are 2a + b and a - 9b,

And, the perimeter of the triangle = 7 a - 11

Let third side = x

Therefore, 2 a + b + a - 9 b + x = 7 a - 11 b

⇒ 3 a - 8 b + x = 7 a - 11 b

⇒ x = 7 a - 11 b - 3 a + 8 b

⇒ x = 4 a - 3 b ( by operating like terms)

3 0

3 years ago

To use the HL Theorem to prove two triangles are congruent, the triangles must be right triangles. Which other conditions must a

mr Goodwill [35]

To use HL specifically they would need to have the same hypotenuse as well as a right angle.

5 0

3 years ago

Read 2 more answers

Plzzz helpppppp nowwwww

snow_lady [41]

Answer:

x= 10

I hope i helped, best of luck!

4 0

2 years ago

Read 2 more answers