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Dmitry_Shevchenko [17]
2 years ago
11

(Geometry)

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
7 0

\textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=13.5\\\theta =120\end{cases}\implies \begin{array}{llll}s=\cfrac{(120)\pi (13.5)}{180}\implies s=9\pi \\\\\\s\approx 28.27\end{array}

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<img src="https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5C%204%7D%20%5Cfrac%7Bx-4%7D%7B%5Csqrt%7Bx%7D-%5Csqrt%7B4%7D%20%7D" id="Te
Hoochie [10]

Answer:

\large \boxed{\sf \ \  \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }=4 \ \ }

Step-by-step explanation:

Hello,

We need to find the following limit.

\displaystyle \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }

First of all, for any x real number different from 4 and positive, we can write

\dfrac{x-4}{\sqrt{x}-\sqrt{4}} = \dfrac{(x-4)(\sqrt{x}+\sqrt{4})} {(\sqrt{x}-\sqrt{4})(\sqrt{x}+\sqrt{4})}} ==\dfrac{(x-4)(\sqrt{x}+\sqrt{4})}{x-4}=\sqrt{x}+\sqrt{4}

so the limit is

\sqrt{4}+\sqrt{4}=2+2=4

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
Given - 4x/7greater 10
Angelina_Jolie [31]

Answer:

x > 17.5

Step-by-step explanation:

So we are given that; \frac{4x}{7} > 10

=> First multiply 7 on each side of "="

4x = 70

=> Now divide 4 on each side

=> x > 17.5

Hope this helps!

3 0
2 years ago
f a seed is planted, it has a 85% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that e
Vlad1618 [11]

The probability that exactly 1 doesn't grow will be 0.07

<h3> What is Probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We can use Bernoulli estimation to solve this. P(g) = 0.85, probability of not growing into healthy plant P(n) = 1-P(g) = 1 - 0.85 = 0.15

Using the Bernoulli approximation:

P(n=1)=⁹C₁xP(n)¹.⁵xP(g)⁸.⁵

P(n=1)=9x0.15¹.⁵x0.8⁸.⁵

P(n=1)=0.07

Hence the probability that exactly 1 doesn't grow will be 0.07

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

3 0
1 year ago
A householder pays £384 for electricity in a year. She pays in twelve equal monthly installments. How much does she pays each mo
vichka [17]
Your answer should be 32 because 384 <span>÷ 12 = 32</span>
6 0
3 years ago
Read 2 more answers
Can somebody help me with the Math's questions with Forming and Solving Equations? Thanks
mojhsa [17]

Step-by-step explanation:

the area of the square is (x+2)^2 and the factored form of it is x^2+4x+4

since we know the area is = 7 therefore

x^2 + 4x +4 = 7 and x^2 + 4x = 3

if you want to find the value of x :

x^2+4x+4 = 7

x^2+4x -3 = 0

(x-3)(x-1)=0

x = 3 or

x = 1

5 0
3 years ago
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