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3 years ago

Q8: These Triangles are similar. What is the value of X?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer:

The answer to your question is x = 15

Step-by-step explanation:

Use proportions to solve this problem

$\frac{x}{20} = \frac{12}{16}$

Solve for "x"

x = $\frac{12(20)}{16}$

Simplification

x = $\frac{240}{16}$

Result

x = 15

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You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in

Alenkinab [10]

Answer:

1/4

Step-by-step explanation:

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3 years ago

Please you can help me. Thanks.

nikdorinn [45]

Answer:

Using Math Papa Algebra Calculator I was able to simplify to:

-81x^5+1198x^3-896x=0

In further detail this equation can be factored and then solved for the multiple x-values given, which are: x=0 or x=−3.7416573867739413 or x=3.7416573867739413 or x= -8/9 or x=8/9

Step-by-step explanation:

I used a punnet square to solve for the simplified equation, from there I used Math Papa Algebra Calculator.

I would answer with the simplified answer, sorry I'd need more specifics to answer this question fully.

Once again the simplified is -81x^5+1198x^3-896x=0

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3 years ago

A leakage test was conducted to determine the effectiveness of a seal designed to keep the inside of a plug airtight. An air nee

Korolek [52]

Answer:

$\bar X = \frac{3.1+3.5+3.3+3.7+4.5+4.2+2.8+3.9+3.5+3.3}{10}= 3.58$

And the sample deviation with the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 0.512$

And then the answer is :

$\bar X= 3.58, \sigma = 0.512$

Step-by-step explanation:

For this case we have the following data given:

3.1 3.5 3.3 3.7 4.5 4.2 2.8 3.9 3.5 3.3

The sample mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{3.1+3.5+3.3+3.7+4.5+4.2+2.8+3.9+3.5+3.3}{10}= 3.58$

And the sample deviation with the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 0.512$

And then the answer is :

$\bar X= 3.58, \sigma = 0.512$

5 0

3 years ago

17. What's the sum of 6 feet 10 inches and 8 feet 9 inches? A. 14 ft. 7 in. B. 13 ft. 19 in. C. 15 ft. 7 in. D. 15 ft. 19 in.

Rasek [7]

Answer: Choice C

Step-by-step explanation: The correct sum of 6 feet 10 inches and 8 feet 9 inches is 15ft 7 inches.

In order to calculate this, you will first add the inches.

10 inches plus 9 inches equals 19 inches, which is 1 ft 7 inches.

Next, add the feet - 6 ft plus 8 ft equals 14 ft.

To finish, 14 ft plus 1 ft 7 inches equals 15 ft 7 inches, which is choice c.

8 0

3 years ago

Read 2 more answers

A box with a square base and an open top is to be constructed using 7500 sq. in. of cardboard. Find the dimensions of the box th

umka2103 [35]

Answer:

Step-by-step explanation:

Let the length of one side of the square base be x

Let the height of the box by y

Volume of the box V = x²y

Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy

S = x² + 4xy

Given

S = 7500sq in.

Substitute into the formula for calculating the total surface area

7500 = x² + 4xy

Make y the subject of the formula;

7500 - x² = 4xy

y = (7500-x²)/4x

Since V = x²y

V = x² (7500-x²)/4x

V = x(7500-x²)/4

V = 1/4(7500x-x³)

For us to maximize the volume, then dV/dx = 0

dV/dx = 1/4(7500-3x²)

1/4(7500-3x²) = 0

(7500-3x²) = 0

7500 = 3x²

x² = 7500/3

x² = 2500

x = √2500

x = 50in

Since y = (7500-x²)/4x

y = 7500-2500/4(50)

y = 5000/200

y = 25in

Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.

The Volume of the box V = 50²*25

V = 2500*25

V= 62,500in³

Hence the maximum volume is 62,500in³

3 0

3 years ago