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4 years ago

A sector with a radius 7 cm has an area of 49/3 pi cm2. What is the central angle measure of the sector in degrees?

Mathematics

2 answers:

Alekssandra [29.7K]4 years ago

7 0

Answer:

120°

Step-by-step explanation:

Area of a sector is:

A = πr² (θ/360°)

Plugging in values and solving:

49/3 π = π (7)² (θ/360°)

49/3 π = 49π (θ/360°)

1/3 = θ/360°

θ = 120°

Leona [35]4 years ago

7 0

Answer:

Step-by-step explanation:

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Which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14

Vsevolod [243]

Answer:

$f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\$

option 1: x + 2

3 0

3 years ago

Aye help me please :)

mina [271]

Answer:

there's no solution.

Step-by-step explanation:

if y = 3x -4 then use this instead of y in the second equation

9x -3(3x+4) = 14 ➡9x-9x -12 = 14 9x will eliminate -9x and -12 can't be = 14 so there's no solution

4 0

3 years ago

Differentiate Square numbers and cube numbers

pashok25 [27]

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

6 0

3 years ago

I want the answer of question 27 with explanation

m_a_m_a [10]

Answer:

6√2

Step-by-step explanation:

√32+√18-1√4

√16×2+√9×2-1√2

4√2+3√2-1√2

6√2

7 0

4 years ago

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago