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3 years ago

Area of a trapizium is 84m².its pararrell sides are 12m and 9m. find its hiegh

Mathematics

1 answer:

Maksim231197 [3]3 years ago

3 0

Answer:

8m

Step-by-step explanation:

We can convert the trapezium into a rectangle to make finding the area easier.

Say that the top side is 9m, and that the bottom side is 12m.

12 - 9 = 3

3/2* = 1.5

*Note that we are dividing by two to get the "overhang" of the bottom side.

Now that we have our overhang, we can find the length of the "t-rect"**.

**"T-rect" refers to a rectangle that has been formed by changing a trapezium into a rectangle.

12 - 1.5 = 10.5

9 + 1.5 = 10.5

The length of the t-rect is 10.5.

84/10.5 = 8

The height of the t-rect is 8m.

Since the height of the original trapezium is equal to the height of the t-rect***,

***Since we have only adjusted the length

this also means that 8m would also be the height of the original trapezium.

Now, there is a second way of doing this.

Find the median of 12 and 9.

9, 10, 11, 12

10, 11

The median is 10.5.

84/10.5 = 8

You get the same answer. These methods could be used as a solve-then-check method to another problem like these.

Hope this helps. Have a nice day.

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PLEASEEEE HELPP !

Kobotan [32]

Answer:

$slope (m) = -5$

Step-by-step explanation:

The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$ , where,

$(2, 60) = (x_1, y_1)$

$(4, 50) = (x_2, y_2)$

Plug in the values into the equation

$slope (m) = \frac{50 - 60}{4 - 2}$

$slope (m) = \frac{-10}{2}$

$slope (m) = -5$

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3 years ago

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Hope pays $126 for 6 theater tickets.

kati45 [8]

Answer:

294 dollars

Step-by-step explanation:

find out how much 1 ticket cost by driving 6 from 126

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3 years ago

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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia

PSYCHO15rus [73]

Using the normal distribution, it is found that the two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 0, \sigma = 1$ .

The z-score that cuts off the bottom and top 2.5% of the distribution is $z = \pm 1.96$ , hence:

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{X - 0}{1}$

X = -1.96

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{X - 0}{1}$

X = 1.96

The two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

More can be learned about the normal distribution at brainly.com/question/27879230

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2 years ago

The temperature was 2 degrees Celsius and fell to -12 degrees Celsius. What was the change in temperature?

motikmotik

-10 degrees celcius.

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2 years ago

Which of the following is a perfect square trinomial?

Snowcat [4.5K]

Answer:

$x^2-5x+6\\(x-3)(x-2)$

$x^2-3x+4\\(x-4)(x+1)$

$x^2+20x+100\\(x+10)(x+10)\\(x+10)^2$

That's the answer

$x^2+14x-49\\x(x+14)-49$

Only $x^2+20x+100$ is a perfect square trinomial

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3 years ago