A 10 meter ladder was placed on an angle. The base of the ladder is 5 meters away from the

Mathematics

2 answers:

Dmitrij [34]3 years ago

8 0

Answer:

To determine the height we will use a² = b²+c²

(10m)²= (5m)²+(h)²

<=> 100m²=25m²+h²

<=> 100m²-25m²=75m²=h²

<=> √ 75m² = h = 8,660m

Olenka [21]3 years ago

4 0

Answer:

5^2 + h^2 = 10^2

Step-by-step explanation:

This is a clear example of the Pythagorean Theorem, a relation of all sides in a right triangle. The equation itself is a^2 + b^2 = c^2. By simply plugging in the given values into the triangle, you would get the answer.

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8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.