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2 years ago

A $40 deduction and a $15 surcharge

Mathematics

1 answer:

Elanso [62]2 years ago

5 0

Answer:

-25

Step-by-step explanation:

-40+15

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A telephone pole is installed so that 25 feet of the pole are above ground level. A stabilizing cable is anchored to the ground

Tasya [4]

$\huge\boxed{244\ \text{inches}}$

This problem can be solved using the Pythagorean Theorem.

Note: the height of the telephone pole is unnecessary information.

Convert the measurement in feet to inches.

$20*12=240$

The length from the base of the pole to the anchor point on the ground is $44$ inches. The distance from the base of the pole to the anchor point on the pole is $240$ inches.

These are the two legs of a right triangle. The length of the stabilizing cable is the hypotenuse of the right triangle.

The Pythagorean Theorem is:

$a^2+b^2=c^2$

In this formula, $a$ and $b$ are the legs and $c$ is the hypotenuse.

Plug in the known values.

$44^2+240^2=c^2$

Swap the sides of the equation.

$c^2=44^2+240^2$

Evaluate the powers.

$c^2=1936+57600$

Simplify using addition.

$c^2=59536$

Take the square root of both sides.

$c=\pm 244$

Separate the solutions.

$c=244\\c=-244$

Length and distance cannot be negative, so remove the negative solution.

$c=\boxed{244}$

5 0

4 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

antiseptic1488 [7]

The answer is 40 because if you do simple division you will get that 800/20 is 40

4 0

3 years ago

You're playing a game where you defend your village from an orc invasion. There are 333 characters (elf, hobbit, or human) and 5

zvonat [6]

Answer with explanation:

→Number of characters in the game =3 (elf, hobbit, or human)

→Number of defense tools in the game =5 (magic, sword, shield, slingshot, or umbrella)

⇒Total number of elements in the set ,which consist of 3 characters and 5 defense tools = 3 × 5=15→→{(elf,magic),(elf,sword),(elf,shield),(elf,slingshot),(elf,umbrella),(Hobbit,magic),(Hobbit,sword),(Hobbit,shield),(Hobbit,slingshot),(Hobbit,Umbrella),(Human,magic),(Human,sword),(Human,shield),(Human,slingshot),(Human,Umbrella)}

→Out of 15 different ,pairs of Characters and tools,there are 7 pairs in which ,Hobbit as a character and umbrella as a defense tool is used. (Hobbit,magic),(Hobbit,sword),(Hobbit,shield),(Hobbit,slingshot),(Hobbit,Umbrella), (Human,Umbrella), (elf,umbrella).

Then, required probability

$=\frac{\text{Total favorable outcome}}{\text{Total Possible outcome}}\\\\=\frac{15-7}{15}=\frac{8}{15}$