Find the area of the shaded region. Round your answer to the nearest hundredth.

Mathematics

1 answer:

Lerok [7]3 years ago

7 0

Answer:

1.44 units²

Step-by-step explanation:

The angle for the big triangle is 60°, so the smaller triangle is 30°

so to find the base of the small triangle you can do tan 30 = X/2 $\sqrt{3}$

so x is 2, which means that the base of the big triangle is 4.

The area of the big triangle is 1/2bh = 1/2(4)(2 $\sqrt{3}$ ) = 4 $\sqrt{3}$ = 6.93

Find hypotenuse (radius) using Pythagorean Theorem r = 4

The area of the piece of pie is $\pi r^{2} *60/360$ = 8.37

8.37 - 6.93 = 1.44

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What is the full number of 2.2300745e56?

xz_007 [3.2K]

Answer:

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Step-by-step explanation:

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2 years ago

Tasha says that the expression 6.8w-4.7 can be simplified as 2.1w. Her teacher explains that this is not correct. What mistake d

tatuchka [14]

Answer: She combined unlike terms.

Step-by-step explanation:

You can only combine like terms. If a number has a variable, you must make sure that the number you're operating it with has the same variable raised to the same power (if applicable)

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2 years ago

How do you find the normal approximation without using the continuity correction?

Dennis_Churaev [7]

Let's say you want to compute the probability $\mathbb P(a\le X\le b)$ where $X$ converges in distribution to $Y$ , and $Y$ follows a normal distribution. The normal approximation (without the continuity correction) basically involves choosing $Y$ such that its mean and variance are the same as those for $X$ .

Example: If $X$ is binomially distributed with $n=100$ and $p=0.1$ , then $X$ has mean $np=10$ and variance $np(1-p)=9$ . So you can approximate a probability in terms of $X$ with a probability in terms of $Y$ :

$\mathbb P(a\le X\le b)\approx\mathbb P(a\le Y\le b)=\mathbb P\left(\dfrac{a-10}3\le\dfrac{Y-10}3\le\dfrac{b-10}3\right)=\mathbb P(a^*\le Z\le b^*)$

where $Z$ follows the standard normal distribution.