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3 years ago

What is the length of the missing leg a

Mathematics

2 answers:

N76 [4]3 years ago

7 0

Your answer would be 3 as i said b4 a^2 + b^2 = c^2

tia_tia [17]3 years ago

7 0

I THINK the answers is 3mm
I am NOT sure

You might be interested in

Use matrices to solve the system of equations if possible. Use Gaussian elimination with back substitution or gauss Jordan elimi

CaHeK987 [17]

In matrix form, the system is given by

$\begin{bmatrix} -1 & 1 & -1 \\ 2 & -1 & 1 \\ 3 & 2 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -20 \\ 29 \\ 29 \end{bmatrix}$

I'll use G-J elimination. Consider the augmented matrix

$\left[ \begin{array}{ccc|c} -1 & 1 & -1 & -20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]$

• Multiply through row 1 by -1.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]$

• Eliminate the entries in the first column of the second and third rows. Combine -2 (row 1) with row 2, and -3 (row 1) with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 5 & -2 & -31 \end{array} \right]$

• Eliminate the entry in the second column of the third row. Combine -5 (row 2) with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 3 & 24 \end{array} \right]$

• Multiply row 3 by 1/3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]$

• Eliminate the entry in the third column of the second row. Combine row 2 with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]$

• Eliminate the entries in the second and third columns of the first row. Combine row 1 with row 2 and -1 (row 3).

$\left[ \begin{array}{ccc|c} 1 & 0 & 0 & 9 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]$

Then the solution to the system is

$\boxed{x=9, y=-3, z=8}$

If you want to use G elimination and substitution, you'd stop at the step with the augmented matrix

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]$

The third row tells us that $z=8$ . Then in the second row,

$y-z = -11 \implies y=-11 + 8 = -3$

and in the first row,

$x-y+z=20 \implies x=20 + (-3) - 8 = 9$

5 0

1 year ago

Chris made hamburgers for his family and they each had a diameter of 3 in. If he made 16 hamburgers.

Alenkasestr [34]

Answer:

The total area for all 16 hamburgers is <u>113.04 in²</u>.

Step-by-step explanation:

Given:

Chris made hamburgers for his family and they each had a diameter of 3 in.

If he made 16 hamburgers.

Now, to find the total area for all 16 hamburgers.

So, the diameter 3 in is given and we need first to find the radius:

$Radius\ (r)=\frac{Diameter}{2} =\frac{3}{2} =1.5\ in.$

Now, to get the area of a hamburger we put formula:

<u><em>(Taking the value of π = 3.14.)</em></u>

$Area=\pi r^2\\\\Area=3.14\times (1.5)^2\\\\Area=3.14\times 2.25\\\\Area=7.065\ in^2.$

Now. to get the total area of 16 hamburgers by multiplying 16 by the area of a hamburger:

$7.065\times 16\\\\=113.04\ in^2.$

Therefore, the total area for all 16 hamburgers is 113.04 in².

7 0

2 years ago

Decimals between 10 15 with an interval of 0.75 between each pair of decimals

aleksley [76]

Should be <span>10.75, 11.5, 12.25, 13, 13.75, 14.5</span>

5 0

2 years ago

Read 2 more answers

The diagram shows the width and height of a table. Mr. Howell wants to build a table with the same ratio of width and height as

just olya [345]

Based on the diagram and the ratio of width and height in it, the width that Mr. Howell should make his table is 48 inches .

<h3>How wide should Mr. Howell's table be?</h3>

The width of the table in the diagram is 12 cm and the height is 6cm.

This means that the ratio of width to height is:

12 : 6

2 : 1

As Mr. Howell wants his table to be 24 inches high, the width of the table would be:

2 : 1

x : 24

Cross-multiply to get:

x = 48 inches

Find out more on ratios at brainly.com/question/20594266

#SPJ1

4 0

1 year ago

What are the values of h and x in the right triangle? Explain.

alexandr402 [8]

Answer:

h = 60 ; x = 25

Step-by-step explanation:

You are going to want to use Pythagorean Theorem to solve these.

Pythagorean Theorem: a² + b² = c²

h² + 144² = 156²

h² + 20736 = 24336

h² = 3600

h = 60

x² + 60² = 65²

x² + 3600 = 4225

x² = 625

x = 25

3 0

2 years ago