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3 years ago

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Mathematics

1 answer:

omeli [17]3 years ago

7 0

<h3>Answer: 3.7</h3>

==========================================================

Explanation:

Check out the diagram below to see what's going on.

a = 8.2 feet
b = unknown
c = 9 feet

Use the pythagorean theorem to find b

$a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\$

The length is roughly 3.7 feet.

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Find the least common denominator for these

baherus [9]

Answer:

The least common denominator of the two rational expressions is $(x+2)^{2}\cdot (x+3)$ .

Step-by-step explanation:

Let be the following rational expressions:

$\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}$

Then, we factor each denominator:

$\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}$

Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:

$\frac{x^{3}}{(x+2)^{2}} \rightarrow (x+3)$

$\frac{-9}{(x+3)\cdot (x+2)} \rightarrow (x+2)$

Hence, we conclude that least common denominator of the two rational expressions is $(x+2)^{2}\cdot (x+3)$ .

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3 years ago

You earn a fixed salary working as a sales clerk making $11 per hour. You get a weekly bonus of $100. Your expenses are $60 per

elena55 [62]

Shall we make life simpler by eliminating unnecessary numbers.
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6 0

4 years ago

This is breakdown of attendees at an event

DiKsa [7]

Answer:

Men: 18%

Women: 42%

Boys: 18%

Girls: 22%

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Step-by-step explanation:

6 0

3 years ago

The polynomial f(x) leaves a remainder of - 3 and - 7 when divided by (3x - 1) and (x +1) respectively.

olga55 [171]

Step-by-step explanation:

Here, f(x) is the given polynomial.

By remainder Theorem,

When divided by (3x-1),

f(1/3) = -3........(1)

When divided by (x+1),

f(-1) = -7.........(2)

Another polynomial is 3x²+2x-1

Solving,

3x²+2x-1

= 3x²+3x-x-1

=3x(x+1)-(x+1)

=(3x-1)(x+1)

f(x) = (3x-1)(x+1)Qx + (ax+b)

For f(-1),

-7 = -a+b

b= a-7

For f(1/3),

-3 = a/3+b

or, -3 = a/3+a-7

or, 4×3 = 4a

or a = 3

Also, b = 3-7 =-4

Hence, remainder is (3x-4)

7 0

3 years ago

2(4 + 2x) ≥ 5x + 5? please help

ziro4ka [17]

2(4 + 2x) ≥ 5x + 5

First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4.
$8 + 4x \ge 5x + 5$

Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself.
$8 \ge 5x + 5 - 4$

Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.
$8 \ge x + 5$

Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3.
$3 \ge x$

Fifth, we can switch sides now to get the result of this problem.
$x \le 3$

Answer: $x \le 3$

7 0

3 years ago