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4 years ago

How do you find area of a triangle

2 answers:

7 0

Perimeter of a triangle = a + b + c. Area\; of \; a\; triangle= \frac{1}{2}bh. Where, b is the base of the triangle. h is the height of the triangle.

icang [17]4 years ago

5 0

Base x height divided by 2

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Elly has 2 rectangular gardens. One measures 1809 cm by 2891 cm and the other measures 738 cm by 249 cm. Elly wants to put a fen

Liono4ka [1.6K]

Answer:

She needs 11374 cm to buy

Step-by-step explanation:

* Lets explain how to solve the problem

- The dimensions of the first rectangle is 1809 cm and 2891 cm

- The dimensions of the first rectangle is 738 cm and 249 cm

- Elly wants to put a fence around both

- To find the length of the fence calculate the perimeters of the two

rectangles

- The perimeter of the rectangle = 2(b + h), where b , h are the

dimensions of the rectangle

# First rectangle

∵ The dimensions are 1809 cm and 2891 cm

∵ P = 2(b + h)

∴ P = 2(1809 + 2891) = 2(4700) = 9400 cm

# Second rectangle

∵ The dimensions are 738 cm and 249 cm

∵ P = 2(b + h)

∴ P = 2(738 + 249) = 2(987) = 1974 cm

∵ The length of the fence = the sum of the perimeters of the two

rectangles

∴ The length of the fence = 9400 + 1974 = 11374 cm

* She needs 11374 cm to buy

8 0

4 years ago

Read 2 more answers

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a stan

IgorLugansk [536]

Answer:

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 3.02, \sigma = 0.29, n = 20, s = \frac{0.29}{\sqrt{20}} = 0.0648$

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the palue of Z when X = 3.10. So

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

By the Central Limit Theorem

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

$Z = \frac{3.1 - 3.02}{0.0648}$

$Z = 1.23$

$Z = 1.23$ has a pvalue of 0.8907

1 - 0.8907 = 0.1093

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

5 0

4 years ago

Factorise and Solve the quadratic equations below.<br><br> x^2+11x+24=0

Fudgin [204]

X² + 11x + 24 = 0

24*1 = 24

We think of 2 numbers that multiply to give 24 and add up to give 11

The 2 numbers are 8 and 3.

8*3 = 24 and 8 + 3 = 11

So the 11x in x² + 11x + 24 = 0

Replace 11x with (3x + 8x)

x² + 11x + 24 = 0

x² + 3x + 8x + 24 = 0 Factorize.

x(x + 3) + 8(x + 3) = 0

(x + 3)(x + 8) = 0

That means:

x + 3 = 0 or x + 8 = 0

x = 0 - 3 x = 0 - 8

x = -3 or x = -8

Therefore: x² + 11x + 24 = 0 is (x + 3)(x + 8) = 0 and x = -3 or x = -8

Hope this helps.

4 0

3 years ago

HELP! 15 POINTS!

Brut [27]

It's pretty easy to go through the choices and none has a[2]=-36 and a[5]=2304. Something's probably wrong with the way the question is typed, but I will answer what's written.

$a_n = a + (n-1) d$