Please help.I need all comparing parts, corresponding parts, and the last question in the problem.

Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the boo

sveta [45]

Y=20x -1500, y equals the prophet, x is the number of books, 20 is the money made after taking out the cost of production, 1500 is a cost that only occurs once.

5 0

3 years ago

Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

3 years ago

Read 2 more answers

Please help me, thank you

Pavel [41]

Answer:

the answer is -3. Your welcome

4 0

3 years ago

Um homem está localizado a 300 m de uma estrada linear (reta). Nessa estrada está localizada a sua esposa a 500 m do homem. Ambo

lukranit [14]

Answer:

The distance of the restaurant from the man and woman = 312.5 m

Option C is correct.

A distância do restaurante do homem e da mulher = 312,5 m

A opção C está correta.

Step-by-step explanation:

English Translation

A man is located 300 m from a linear (straight) road. On that road his wife is located 500 m from the man. Both walk towards a restaurant that is on the road and is the same distance from the two. What is this distance in meters?

A) 400m

B) 300m

C) 312.5m

D) 325m

E) 87.5m

Solution

A diagram showing the scenario described, is presented the attached image.

From the attached image, x is the distance of the restaurant from both the man and the woman. So, there are two right angled triangles,

- The bigger one with hypotenuse 500 m and other side 300 m, the third side is calculated as

(Third side)² = 500² - 300² = 160000

Third side = 400 m

- The smaller right angled triangle, with hypotenuse x m and other sides 300 m & (400 - x) m

(400 - x)² + 300² = x²

160000 - 800x - x² + 90000 = x²

800x = 160000 + 90000 = 250000

x = (250000/800) = 312.5 m

Hence, the distance of the restaurant from the man and woman = 312.5 m

In Portugese/Em português

Um diagrama mostrando o cenário descrito é apresentado na imagem em anexo.

Na imagem em anexo, x é a distância do restaurante do homem e da mulher. Então, existem dois triângulos retângulos,

- Quanto maior com hipotenusa 500 me outro lado 300 m, o terceiro lado é calculado como

(Terceiro lado) ² = 500² - 300² = 160000

Terceiro lado = 400 m

- O triângulo angular direito menor, com hipotenusa x me outros lados 300 m & (400 - x) m

(400 - x)² + 300² = x²

160000 - 800x - x² + 90000 = x²

800x = 160000 + 90000 = 250000

x = (250000/800) = 312.5 m

Portanto, a distância do restaurante do homem e da mulher = 312,5 m

Hope this Helps!!!

Espero que isto ajude!!!

4 0

3 years ago

Which of the following describes a situation in which the total distance a hockey player travels is 0 meter from his starting po

Irina-Kira [14]

Answer:

D. The player skates 12 m forward and then skates 12 m in the opposite direction.

Step-by-step explanation:

The player skates 12 m forward then back 12 m which means he is back to his starting point. :)

6 0

3 years ago