All categories

2 years ago

Find the length of the unknown side. Round your answer to the nearest tenth. 20 m 12 m b

Mathematics

1 answer:

stepladder [879]2 years ago

4 0

The length of the unknown side is 16 meters

<h3>What is a right triangle?</h3>

A right triangle is a triangle that has one of its angles to be 90 degrees

The length of the unknown side is calculated using the following Pythagoras theorem.

$20^2 = 12^2 +b^2$

Evaluate the exponents

$400 = 144 +b^2$

Collect like terms

$b^2 = 400 -144$

Evaluate the like terms

$b^2 = 256$

Take the square root of both sides

$b = 16$

Hence, the length of the unknown side is 16 meters

Read more about Pythagoras theorem at:

brainly.com/question/654982

You might be interested in

A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

3 0

3 years ago

Read 2 more answers

Surface area???????????

MAVERICK [17]

Answer:

The option B is the correct answer. 79.18 m²

Step-by-step explanation:

Surface area = Base area + Lateral surface area

Area of triangle = bh/2

b - base and h - height

<u>To find the base area</u>

We can consider the base is a hexagon.

A regular hexagon is a combination of 6 equilateral triangle

Base area = 6 * area of triangle

base b = 3

<u>To find the height</u>

h =√[(6.2)² - (5.6)₂] = 2.7

Area of triangle bh/2 = (3 * 2.7)/2 = 3.99

Area of base = 23.95

To find lateral surface area

Lateral surface area = 6 * area of triangle

Area of triangle = bh/2 =(3 *6.2)/2 = 9.3

Lateral surface area = 6 * 9.3 = 55.8

<u>To find the total surface area </u>

Total surface area = Base area + lateral surface area = 23.95 + 55.8

= 79.75 m²

Therefore the option B is the correct answer. 79.18 m²

7 0

3 years ago

Does any one know how to do this. It would be such a life saver if you could help me out. Thx

Aneli [31]

Answer:

1: (3 ,- 4)

2:up (a > o)

3: -4

4: 2 units to the right

5: 4 units down

6: y = (x-2)^2-4

9: (5,9)

10: x=5

11: (4,7) and (6,7)

12:

Step-by-step explanation:

I'm not sure if you wanted it explained or answered , so i just answered most of them. Sorry if you wanted it explained.

3 0

3 years ago

Solve the following compound inequality 4

CaHeK987 [17]

Answer:

$0 < x < 8$

Step-by-step explanation:

Given

$4 < x + 4 < 12$

Required

Solve

$4 < x + 4 < 12$

Split:

$4 < x + 4$ and $x + 4< 12$

Collect Like Terms

$4 - 4 < x$ and $x < 12- 4$

$0$ and $x < 8$

Combine

$0 < x < 8$

7 0

3 years ago

A bag contains 5 red marbles, 3 green marbles, 2 purple marbles, 2 orange marbles, and 1 blue marble.

san4es73 [151]

The answer is blue i just took the test.

7 0

3 years ago

Read 2 more answers