Ask question

Ask question

All categories

2 years ago

14

Find the length of the third side. If necessary, write in simplest radical form.

2 answers:

sashaice [31]2 years ago

8 0

Agreed with guy above thanks

Angelina_Jolie [31]2 years ago

3 0

Answer:

the length of the missing side is 2

Step-by-step explanation:

Use a^2 + b^2 = c^2

a = 4

b = ?

c = 2sqrt5

4^2 + b^2 = (2sqrt5)^2

16 + b^2 = 20

subtract 16 from both sides

b^2 = 4

take the sqrt of both sides

b = 2

You might be interested in

A circular sector has a central angle of π6 radians and a radius of 9 ft.

ohaa [14]

Answer:

$\approx \: 21.2 \: {ft}^{2}$

Step-by-step explanation:

$central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2}$

8 0

3 years ago

Read 2 more answers

What is the length of the major axis of the conic section shown below?

sveticcg [70]

$\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1$

The equation of a elipse:

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

$a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b$

therefore the length of the major axis is equal 2 · 7 = 14.

7 0

3 years ago

3 equivalent ratios for 20/15

castortr0y [4]

4/3
40/30
60/45
Simply multiply or divide both the 20 and the 15 to get an equivalent ratio.

7 0

3 years ago

Read 2 more answers

The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown

Anna71 [15]

Answer:

16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

(w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

(w^2 +25w +136) - (w(w+9)) = 400

16w + 136 = 400 . . .simplify

16w = 264 . . . . . . . . subtract 136

264/16 = w = 16.5 . . . . . width of the garden in feet

w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

5 0

3 years ago

A line passes through the points (-4, -3) and (2,6). Determine the slope of the line

Grace [21]

Slope is 1/2. The equation to solve it is y2-y1 / x2-x1. I hope you understand it now :)

4 0

3 years ago

Read 2 more answers