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Paladinen [302]
3 years ago
15

A long string with a balloon at the end was tied to the ground. After a breeze came up, the balloon was 55 feet to the right of

where it was tied and 30 feet above the ground, as shown in the figure below. What is the slope of the line between the balloon and the point where it was tied?
Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

<em>The slope is 0.55</em>

Step-by-step explanation:

<u>Right Triangles</u>

The string, the ground, and the height of the balloon form a right triangle where the trigonometric ratios are satisfied.

The image below shows the geometric construction. We are required to find the slope the string forms with the ground.

It can be found by using the tangent ratio:

\displaystyle \tan\theta=\frac{y}{x}

Substituting y=30 and x=55

\displaystyle \tan\theta=\frac{30}{55}

\displaystyle \tan\theta=0.55

The slope is 0.55

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Mai gave half of her brownies, and then half a brownie more, to Kiran. Then she gave half of what was left,
givi [52]

Answer:

x = 7

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
What is the factor of x³ 5x² 2x 24?
Delvig [45]

The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

<h3>What is a factor?</h3>

A factor is a number that completely divides another number.

In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.

The numbers that can divide a number exactly are called factors.

There is none left over after division as a result.

The numbers you multiply together to produce another number are called factors.

A factor is hence the division of another number.

So, we have the expression: x³-5x²-2x+24

Now, calculate the factors as follows:

x³-5x²-2x+24

We already know that: P(-2) = 0

Hence, x+2 is a factor.

Now, other factors are: x² - 7x + 12

x² + 4x + 3x + 12

(x - 3)(x - 4)

Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

Know more about the factors here:

brainly.com/question/24351176

#SPJ4

Correct question:
What is the factor of x³-5x²-2x+24?

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Answer:

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