Someone please help me!!!

We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.

So, length of the safety rail is given by:

Where:

r = 10 yd

pi = 3.14

Substitute, we have:

The Answer is 15.7 yd

Next, area of the deck is given by:

Substitute the values:

The answer is 78.5 yd^2

Answer:

Its C.

Step-by-step explanation:

cos(θ) = -4√3/7 and it lies in 3rd quadrant and is in form of reduced radical.

To find cos(θ) given sin(θ) = -1/7 and θ is in the 3rd quadrant, we can use the Pythagorean identity: sin²(θ) + cos²(θ) = 1. Since sin(θ) is given as -1/7, we can substitute it into the equation and solve for cos(θ).

sin²(θ) + cos²(θ) = 1

(-1/7)² + cos²(θ) = 1

1/49 + cos²(θ) = 1

cos²(θ) = 1 - 1/49

cos²(θ) = 48/49

since θ is in the 3rd quadrant, where cosine is negative, we take the negative square root:

cos(θ) = -√(48/49)

cos(θ) = -√(48)/√(49)

cos(θ) = -√(48)/7

cos(θ) = -4√3/7

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Answer:

The answer is D or Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle T"U"V" . I just took the test and I hope I helped : )

Step-by-step explanation:

Answer:

which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)

Step-by-step explanation:

Answer:

90 cubic inches

Step-by-step explanation:

V = 1/3 · area of base · height

V = 1/3 · 18 · 15

V = 6 · 15

V = 90

Answer:

if your online school is tops its a hundred percent 90 inch^3

Step-by-step explanation:

Answer:

x=2

9+2=11

6+2=8

8x11+88

Step-by-step explanation:

The amount of money Rony earn in dollars will be (p/2) – 17. Then the correct option is C.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

Rony earns 17 dollars, less than half of what John earns.

If John earns p dollars.

Then the amount of money Rony earn in dollars will be

Then the expression can be written as in the mathematical form. Then we have

⇒ (p/2) – 17

Then the correct option is C.

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Answer:

Step-by-step explanation:

1/2*(x-8)+3x=x/2-4+3x=3.5x-4

Hope this helps!

The entered points belong to a vertical line. There is no slope.

Equation: x=-2

The diameter of the sphere is 45 cm, which means that the radius of the sphere is 22.5 cm. The potential difference between the surface of the sphere and a point at infinity is 590 V. The electric field at the surface of the sphere is given by the equation:

E = V/r

Where E is the electric field, V is the potential difference, and r is the radius of the sphere. Plugging in the given values, we get:

E = 590 V / 22.5 cm = 26.22 V/cm

Therefore, the electric field at the surface of the sphere is 26.22 V/cm. This is the electric field that is responsible for the charge on the sphere. The charge on the sphere can be calculated using the equation:

Q = 4πε0r^2E

Where Q is the charge on the sphere, ε0 is the permittivity of free space, r is the radius of the sphere, and E is the electric field at the surface of the sphere. Plugging in the given values, we get:

Q = 4π(8.85 x 10^-12 F/m)(0.225 m)^2(26.22 V/m) = 1.49 x 10^-9 C

Therefore, the charge on the sphere is 1.49 x 10^-9 C.

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Answer: Boots = 3

workout shoes = 4

Step-by-step explanation:

boots cost $65 so 65 x 3 = 195

and workout shoes cost $23 so 23 + 4 = 92 then 195 + 92 = 287

Answer:

Step-

by-step explanation:

The Pythagorean exact value of cscθ in simplest radical form is\(\sqrt({5})\)

The Pythagorean theorem is a fundamental mathematical principle that describes the connection between the sides of a right triangle. It asserts that the sum of the squares of the other two sides' lengths equals the square of the hypotenuse's length (the side opposite the right angle). The mathematical theorem is as follows: \(c^{2} = a^{2} + b^{2}\) Where "c" denotes the hypotenuse length and "a" and "b" indicate the lengths of the other two sides, known as the legs.

We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the terminal side of θ and the x and y axes.

Let's call the hypotenuse r. Then we have:

\(r^{2} =(-2)^{2} +1^{2}\)

\(r^{2}=4+1\)

\(r^{2} =5\)

\(r=\sqrt({5} )\)

Now, we know that cscθ is the reciprocal of sinθ. Since the y-coordinate of the point (-2,1) is 1 and r is the hypotenuse, we have:

sinθ = opposite/hypotenuse = \(1/\sqrt({5} )\)

Therefore,\(cscI,=1/sinI,=\sqrt({5}) /1=\sqrt({5} ).\)

So the exact value of cscθ in simplest radical form is \(\sqrt({5} )\)

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Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

Divide both sides of the above equation by 7.

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

Answer:

the answer Is 3

can you help me in something please?

1. 14w - 3w

Variable term: 14w, -3w

Constant term: None

Coefficient: 14, -3

2. -2a + 9 - 5a

Variable term: -2a, -5a

Constant term: 9

Coefficient: -2, -5

3. 8m - 2 - 10 + m

Variable term: 8m, m

Constant term: -2, -10

Coefficient: 8, 1

4. -2p - 17 + 6p - p + 4

Variable term: -2p, 6p, -p

Constant term: -17, 4

Coefficient: -2, 6, -1

5. 14x - 3y + 5y - 26 - 7x

Variable term: 14x, -3y, 5y, -7x

Constant term: -26

Coefficient: 14, -3, 5, -7

6. -6C + 18 - 15d + C - 11 - 3c

Variable term: -6C, -15d, C, -3c

Constant term: 18, -11

Coefficient: -6, -15, 1, -3

In each expression, variable terms are the terms that contain variables (letters representing unknowns), constant terms are the terms that do not contain variables, and coefficients are the numbers multiplying the variables. Let's identify the variable terms, constant terms, and coefficients for each expression:

In each expression, the variable terms consist of the terms containing variables, the constant terms are the terms without variables, and the coefficients are the numbers multiplying the variables.

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Answer:

yes, the y-intercept should be 0.

Step-by-step explanation:

The b in this slope-intercept equation is 0, so the y-intercept is 0.

Another way to figure out the y-intercept is to set x to 0; the resulting y-value is the y-intercept:

y = 8.39(0)

y = 0 so the y-intercept is 0.

The equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is y = 2x/3+3.

According to the question,

We have the following information:

Point through which line is passing = (6,7)

Equation of the line:

2x-3y = 9

We will convert this equation into slope-intercept form:

-3y = 9-2x

3y = 2x-9

Dividing by 3 on both the sides:

y = 2x/3-3

Slope of the line = 2/3

We know that the following formula is used to find the equation of the line:

y-y' = m(x-x')

(y-7) = 2/3(x-6)

y-7 = 2x/3-4

y = 2x/3-4+7

y = 2x/3+3

Hence, the equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is y = 2x/3+3.

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Answer:

386 egg-laying hens.

Step-by-step explanation:

Actual Problem : Uncle Ben has 440 chickens on his farm. 39 are roosters

and the rest are hens. 15 of his hens do not lay eggs. The

rest lay eggs. How many egg-laying hens does Uncle Ben

have on his farm?

440 chickens  - 39 hens  = 401 hens

401 hens - 15 non egg laying hens = 386 Egg-Laying hens

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

n<=7 (less than or equal to)

Step-by-step explanation:

42/6=7, so 7 is the max number of laps he will run.

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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The probability that the random variable Y lies between 0 and 2 is approximately 0.744.

To find the probability that Y lies between 0 and 2, we need to integrate the joint probability density function (PDF) of X and Y over the range of Y from 0 to 2, while keeping X within its valid range of 0 to infinity:

PO = ∫[0,2]∫[0,∞] fxy(x,y) dx dy

Substituting the given PDF of fxy(x,y) and performing the integration, we get:

PO = ∫[0,2]∫[0,∞] 1/20 * exp(-x/2) * exp(-y/3) dx dy
= ∫[0,2] (1/20 * exp(-y/3) * [-2*exp(-x/2)]|[0,∞]) dy
= ∫[0,2] (1/10 * exp(-y/3)) dy
= [-3 * exp(-y/3)]|[0,2]
= 3 * (1 - exp(-2/3))

Therefore, the probability that the random variable Y lies between 0 and 2 is approximately 0.744.

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The probability that the artist will choose a picture that is not a multiple of 13 is 14/15.

Probability:

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event or how likely a statement is to be true. The probability of an event is a number between 0 and 1, with 0 representing an impossibility and 1 representing certainty, roughly speaking. The higher the probability of an event, the higher the probability of an event occurring. A simple example is a fair (unbiased) coin toss. Since the coin is fair, both outcomes ("heads" and "tails") are equally likely. The probability of an "eagle" is equal to the probability of a "tail". And since no other outcome is possible, the probability of getting heads or tails is 1/2.

Now,

The sample space is S = {1,23,4,5,...60}

n(S) = 60

The multiples of 13 are:

E = {13,26,39,52}

n(E) = 4

Probability of choosing a picture that is a multiple of 13 is

   P(E) = n(E)/ n(s)

⇒ P(E) = 4/60

Probability of choosing a picture that is NOT a multiple of 13 is

P(E)  = 1 - 4/60

       = 56/60

       = 14/15

Therefore,  the probability that the artist will choose a picture that is not a multiple of 13

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Step-by-step explanation:

Given :-

Adding the equations :-

\(: \implies\) 10y = -10

\(: \implies\) y = -1

Put it (i) :-

\(: \implies\) 4x - 8 = 20

\(: \implies\) 4x = 20 + 8

\(: \implies\) 4x = 28

\(: \implies\) x = 28/4

\(: \implies\) x = 7

The two statements that are true about the company's Market share going from 50 to 65 percent of the total market . The initial market share and multiply by 100, which gives 30 percent. Option B is correct answer.

The two statements that are true about the company's market share going from 50 to 65 percent of the total market are:

The company's market share increased by 30 percent: The difference between the initial market share of 50 percent and the final market share of 65 percent is 15 percentage points. To calculate the percentage increase, we can divide the difference by the initial market share and multiply by 100, which gives (15/50) x 100 = 30 percent.

The company's relative market position improved: With a market share of 65 percent, the company now holds a greater proportion of the total market than before. This means that its relative market position has improved compared to its competitors, who have a smaller share of the market. This could translate into increased bargaining power, profitability, and other benefits for the company.

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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
A) 40

B) 30

C) 35

D) 45

Answer:

The transformation was a 90° rotation about the origin.

Step-by-step explanation:

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4) A' (–1, –1) B' (–1, 1) C' (–4, 1) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

Answer: Transformation is the process of moving a point in a graph to another point. The new point formed is the image of the old point. When an object is transformed each point of the object is moved to another point. There are three types of transformation: Reflection, Rotation, Translation and dilation.

If a point O(x, y) is rotated 90° rotation about the origin., the new point is at O'(-y, x). That is the x coordinates becomes negative of the y coordinate and the y coordinate becomes the x coordinate.

The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4), If a transformation of 90° rotation about the origin is done, the new points are A' (–1, –1) B' (–1, 1) C' (–4, 1)

Answer:

The answer is a

Step-by-step explanation: