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1 year ago

Find the area of this triangle, round to the nearest 10th

Mathematics

1 answer:

Juliette [100K]1 year ago

7 0

Answer:

109.3 yard²

Step-by-step explanation:

Area of triangle = bh / 2

base is 23yd

height is 9.5yd

bh / 2 = 23 × 9.5 / 2

Area = 218.5 / 2

Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²

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What is wrong with the following proof? Clearly we know that 1 does not equal 2. What rule of algebra did we break that makes th

Gnoma [55]

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is <u>dividing by zero</u> (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

1 ≠ 2

In line 9., by dividing by b = 0, again, we have;

9. 1 = 2 (a contradiction)

Therefore, one rule of algebra that is broken is <u>dividing by zero</u> and having a finite result

Learn more about the rules of algebra here:

brainly.com/question/11388301

5 0

3 years ago

Using the drawing tool, graph the two inequalities on the number line. Take a screenshot of each number line and submit it in th

masya89 [10]

Zero on number lines is neither negative nor positive, it is used as a sort of divider number;)

Step-by-step explanation: this picture should help explain a little

4 0

3 years ago

Read 2 more answers

What is the name of the period that has the digits 751 in the number 751,486

Rama09 [41]

Seven hundred and fifty one thousand

I hope this helps

3 0

3 years ago

PLEASE HELP!! WILL MARK BRAINIEST !!

SOVA2 [1]

Answer:

(f+g)(2) = 10

Step-by-step explanation:

f(x)=2x^2+3x

g(x)=x-2

(f+g)(x) will be sum of f(x) and g(x)

(f+g)(x) = 2x^2+3x + x - 2 = 2x^2+4x - 2

we have to find (f+g)(2), for that we will put x = 2

(f+g)(x) = 2x^2+4x - 2

$(f+g)(2) = 2*2^2+2*2 - 2\\(f+g)(2) = 2*4+4 - 2\\(f+g)(2) = 8+4 - 2 = 10$

Thus, (f+g)(2) is 10.

3 0

2 years ago

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and

Valentin [98]

So we have a set of integers,

$X=\{15,20,25,25,27,28,30,34\}$

And we need to compute some stats.

First the range,

The range of data set is difference between the maximum and the minimum of the data set.

So the minimum is 15 and maximum is 34 therefore the range is 34 - 15 = 19.

Second the interquartile range,

The interquartile range of data set is the difference of the first and third quartiles.

First quartile is the value separating the lower quarter and higher three - quarters of the set. The first quartile is computed by taking median of the lower half of the sorted set. This is 15, 20, 25, 25 and it's median is 22.5

Third quartile is therefore the median of 27, 28, 30, 34 which is 29.

Next up, variance.

The variance of set measures how much data is spread out. For data set $x_1,\dots, x_n$ with an average $a$ ,

$\mathsf{var}(X)=\Sigma_{i=1}^{n}\dfrac{(x_i-a)^2}{n-1}$

So first compute the average value which is actually a mean,

$a=\dfrac{1}{2}\Sigma_{i=1}^{n}a_i$

The sum $\Sigma_{i=1}^{n}a_i$ of numbers in set is 204.

Divide this by number of elements in the set (8).

$a=\dfrac{204}{8}=25.5$

Then compute the variance,

$\mathsf{var}(X)=\dfrac{\Sigma_{i=1}^{n}(x_i-a)^2}{n-1}\approx\boxed{34.57}$

And finally standard deviation,

Since have computed variance the standard deviation is nothing too hard. It's defined as a square root of variance,

$\mathsf{sde}(X)=\sqrt{\dfrac{\Sigma_{i=1}^{n}(x_i-a)^2}{n-1}}=\sqrt{34.57}\approx\boxed{5.88}$

Hope this helps.

r3t40

6 0

2 years ago