What is the length of the missing leg? If necessary, round to the nearest tenth.

Answer:4c^2(5c+3)

Step-by-step explanation:

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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I've been tryna call

I've been on my own for long enough

Maybe you can show me how to love, maybe

I'm going through withdrawals

You don't even have to do too much

You can turn me on with just a touch, baby

I look around and

Sin City's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

(Hey, hey, hey)

I'm running out of time

'Cause I can see the sun light up the sky

So I hit the road in overdrive, baby, oh

The city's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

I'm just walking by to let you know (by to let you know)

I can never say it on the phone (say it on the phone)

Will never let you go this time (ooh)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

(Hey, hey, hey)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

Answer:

c, a, d

Step-by-step explanation:

I think?

Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°

Answer:

Step-by-step explanation:

M is slope

B is y intercept

X and y are given

using the equation for the y intercept

b=y1-mx1

B=1−(1/2)⋅(−6)=4

Write in y=Mx+b

=12+4

The general equation of the line is −2+8=0

Answer:h(x) =-(x+5)^3

Step-by-step explanation:

Answer:

I think maybe search Gina Wilson (All things Algebra), 2014 in google, look at the tiny letters at the bottom of the page.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is A

Answer:

The answer is A=bh or area=base times height

Answer:

The radius is 1 unit.

Step-by-step explanation:

The radius of a circle is half of its diameter. 2/2=1 unit

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

Answer:

H(-9,8).

Explanation:

In a function, an x-value cannot have more than one y-value.

In the ordered pairs, there are already x-values of 9, -3 and 6.

Thus, options F, G, and J cannot form an ordered pair in the function.

The correct choice is H(-9,8).

9514 1404 393

Answer:

  28,728.15 g

Step-by-step explanation:

(11.5 gal) × (3.785 L/gal) × (1000 mL/L) × (0.66 g/mL) = 28,728.15 g

_____

That's 28,700 g rounded to 3 significant figures.

The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

To find the speed of the boat in still water and the speed of the current, let's follow these steps:

Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).

Step 2: Use the formula distance = time × speed to write two equations based on the given information.

Downstream: 9(x + y) = 189

Upstream: 63(x - y) = 189

Step 3: Simplify both equations:

Downstream: x + y = 21 (divide both sides by 9)

Upstream: x - y = 3 (divide both sides by 63)

Step 4: Solve the system of equations by adding the two simplified equations:

2x = 24

x = 12

Step 5: Plug the value of x back into either equation to solve for y:

12 + y = 21

y = 9

So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

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Answer:

0.75

Step-by-step explanation:

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

The value of x in the given figure is 8.

In the given figure there are two lines which are parallel.

We have to find the value of x.

In the straight line the sum of angles is 180 degrees.

8x+1+115=180

8x+116=180

Subtract 116 from both sides:

8x=180-116

8x=64

Divide both sides by 8:

x=64/8

x=8

Hence, the value of x in the given figure is 8.

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Given the PMF

\(P(X=x) = \begin{cases} 0.3 & \text{if } x \in \{-1, 2\} \\ 0.1 & \text{if } x \in \{0, 7\} \\ 0.2 & \text{if } x = 6 \\ 0 & \text{otherwise} \end{cases}\)

(a)

\(P(-1 < X \le 2) = P(X = 0) + P(X = 2) = 0.1 + 0.3 = \boxed{0.4}\)

(b) The CDF is defined as \(F_X(x) = P(X \le x)\), so that

\(F_X(x) = \begin{cases} 0 & \text{if } x < -1 \\ 0.3 & \text{if } -1 \le x < 0 \\ 0.4 & \text{if } 0 \le x < 2 \\ 0.7 & \text{if } 2 \le x < 6 \\ 0.9 & \text{if } 6 \le x < 7 \\ 1 & \text{if } x \ge 7 \end{cases}\)

It follows that

\(F(3.2) = \boxed{0.7}\)

(c) Expectation is defined as

\(E[X] = \displaystyle \sum_x x\,P(X=x)\)

We have

\(E[X] = \displaystyle \sum_{x\in\{-1,0,2,6,7\}} x\,P(X=x) \\\\ E[X] = -P(X=-1) + 2P(X=2)+6P(X=6)+7P(X=7) \\\\ E[X] = -0.3 + 0.6 + 1.2 + 0.7 = \boxed{2.2}\)

(d) First compute the second moment of X, which is defined as

\(E[X^2] = \displaystyle \sum_x x^2\,P(X=x)\)

We get

\(E[X^2] = (-1)^2P(X=-1) + 2^2P(X=2) + 6^2P(X=6) + 7^2P(X=7) \\\\ E[X^2] = 0.3 + 1.2 + 7.2 + 4.9 = 13.6\)

Variance is defined as

\(\mathrm{Var}[X] = E[(X - E[X])^2] = E[X^2] - E[X]^2\)

so it follows that

\(\mathrm{Var}[X] = 13.6 - 2.2^2 = \boxed{8.76}\)

(e) Not sure what this part has to do with the rest of the question. At any rate, if Y is a random variable following a Poisson distribution with λ = 3, then Y has a PDF of

\(P(Y=y) = \begin{cases}\dfrac{e^{-3}\times3^y}{y!}&\text{if }y\in\{0,1,2,\ldots\}\\\\0&\text{otherwise}\end{cases}\)

Then

\(P(Y > 5) = 1 - P(Y \le 5) = 1 - P(Y=0) - P(Y=1) - \cdots - P(Y=5) \\\\ P(Y>5) = \dfrac{5e^3-92}{5e^3} \approx \boxed{0.0839}\)

The  length of the line segment between the points (5, 2) and (-4, -3) is 10.2956 units.

The distance formula is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the coordinates (x1, y1) = (5, 2) and (x2, y2) = (-4, -3), we can substitute these values into the distance formula:

d = √((-4 - 5)² + (-3 - 2)²)

= √((-9)² + (-5)²)

= √(81 + 25)

= √106

≈ 10.2956

Therefore, the length of the line segment between the points (5, 2) and (-4, -3) is 10.2956 units.

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Answer:

a = 3

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h) ^2 +k  where ( h,k) is the vertex

the vertex is (-2,2)

y = a(x- -2) ^2 +2

y = a(x+2) ^2 +2

Pick another point on the graph to determine a

(-1,5) and substitute into the equation

5 = a( -1+2) ^2 +2

5 = a(1)^2 +2

5 = a(1) +2

Subtract 2 from each side

5-2 = a+2-2

3 = a

Answer:

A=3

Step-by-step explanation:

I got it right on the test

Answer:

Slope is 7

Step-by-step explanation:

M equals slope

M=14 -( -7)/-4 - (-7)

M=21/3

M=7

Therefore the slope for these points is 7

Answer:

33.3 in²

Step-by-step explanation:

Apply the formula for finding the area of triangle that has an included angle and two given sides, which is, Area = ½*a*b*Sin*C

Where,

a = 7 in

b = 13 in

C = 133°

Plug in the values

Area = ½*7*13*Sin(133)

Area = 33.2765935 ≈ 33.3 in² (nearest tenth)

Answer:

44.8

Step-by-step explanation:

Using the Cosine formula, we first have Cos 48 = 30/x. So then we just solve for x and get 44.8342965, which rounds to 44.8

I hope this helped! :D

Answer:

w = - 8

Step-by-step explanation:

-Simplify both sides of the equation

-Distribute

-Combine like terms

-Add 22 to both sides

-Divide both sides by -3

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Answer:

Step-by-step explanation:

Hello,

I assume that you mean \(g(x)=x^2-\dfrac{8}{x}+4\)

Replace x by 10

\(g(10)=10^2-\dfrac{8}{10}+4=104-0.8=103.2\)

thanks