In which of the following quadrilaterals are consecutive angles always congruent? Check all that apply.

Final answer:

To calculate the percent uncertainty in the volume of a spherical beach ball when the radius is uncertain, you multiply the square of the radius by four (surface area), by the uncertainty in the radius, and then compare this value to the total volume. The percent uncertainty is found to be approximately 2.62%.

Explanation:

To determine the percent uncertainty in the volume of a spherical beach ball with a radius of 2.86 1 0.09 meters, one must first calculate the volume's uncertainty, then relate this to the total volume, and finally convert this relationship into a percentage.

The formula for the volume of a sphere is [tex]V = (4/3)\pi(r^3)[/tex]. Since volume is proportional to the cube of the radius, any uncertainty in the radius dramatically affects the volume uncertainty. Using a function for the volume V(r) and applying the approximation for small changes in r, we have:

[tex]V = (4/3)\pi(r^2))(r)[/tex]

For a radius of 2.86 meters and an uncertainty of 0.09 meters, the uncertainty V in volume is 170 [tex]cm^3[/tex]. The volume is approximately V = [tex](4/3)(3.14)(2.86^3)[/tex] = 6538 [tex]cm^3[/tex]. Therefore, the volume expressed with its uncertainty is [tex]6500 \pm170[/tex] [tex]cm^3,[/tex] rounded to avoid false precision.

To find the percent uncertainty:

Convert the uncertainty to the same units as the ball's volume if needed (here both are in cm^3).

Divide the uncertainty by the volume: (170/6500) x 100%.

The percent uncertainty is approximately 2.62%.

Answer:

[tex]13.93ft^{2}[/tex]

Step-by-step explanation:

The area of the opening will be the sum of the area of the two shapes shown which are rectangle and half ellipse:

[tex]Area =Area_{rectangle}+\frac{1}{2} Area_{Ellipse}[/tex]

The area of the rectangle is:

[tex]Area_{Rectangle}=a*b[/tex]

where:

[tex]a=4ft\\b=2\frac{1}{2}ft[/tex]

we replace values(we convert the mixed fraction to improper fraction by multiplying the whole number part by the fraction's denominator, then add that to the numerator  then write the result on top of the denominator.):

[tex]Area_{Rectangle}=4*2\frac{1}{2} =4*\frac{5}{2}=10[/tex]

The area of the ellipse is:

[tex]Area_{Ellipse}=a*b*\pi[/tex]

where:

[tex]a=Radius1=1\frac{1}{4}ft\\b=Radius2=2ft\\[/tex]

Radius2 will be half the side of the rectangle

[tex]Radius2=\frac{4}{2}=2[/tex]

we replace the values:

[tex]Area_{Ellipse}=1\frac{1}{4} *2*\pi=\frac{5}{4}*2*\pi=\frac{5}{2}\pi =7.85[/tex]

we calculate now the total area:

[tex]Area =Area_{rectangle}+\frac{1}{2} Area_{Ellipse}\\Area=10+\frac{1}{2}(7.85)=10+3.93=13.93ft^{2}[/tex]

Answer:

The answer is No Solutions Look Below

Step-by-step explanation:

The probability of event A's complement, which signifies selecting a student not studying social science or physics, is 26%.

The probability of selecting someone who studies social science (sociology, political science, and anthropology) or physics is the sum of the individual probabilities for those subjects: 23% (sociology) + 14% (political science) + 12% (anthropology) + 25% (physics) = 74%. To find the probability of the event A's complement, which is selecting a student not studying any of these subjects, we subtract the probability of event A from 100%: 100% - 74% = 26%. Therefore, the probability of selecting a student not enrolled in any of the mentioned social science subjects or physics is 26%.

V=1/3bh
324=1/3(9)* h
324=3h
h=324/3
h=108

height is 108cm

Answer: 12 cm

The other guy that answered didn't do it correctly, he didn't find the height. You have to do:

1/3 (9 • 9) (x) = 324

1/3 • 81x = 324

27x = 324

x = 12

Trust me, I just finished my quiz and got ths answer right.

Answer

Cos θ = 4/7

Explanation

The angle θ is in the 3rd quadrant. So, it is positive.

cos θ = adjacent / hypotenuse

hypotenuse = √(4² + (√33)²)

                    = √(16 + 33)

                     = √47

                    = 7

Cos θ = 4/7

Answer:

Step-by-step explanation:

cos 0= 4/7

reason: i took the test

Answer:

this answer is wrong on plato, trust me

Step-by-step explanation:

We need to find the corresponding y-coordinate for x = -3. Unfortunately, since we don't have additional information about the function f(x), we cannot determine the value of f(-3) and provide the corresponding point.

To find the corresponding point for the function f(-1/2x) when (6, 3) is on the graph of f(x), we need to substitute the x-coordinate of (6, 3) into the function -1/2x and determine the resulting y-coordinate.

Given that (6, 3) is on the graph of f(x), it means that f(6) = 3.

Now let's substitute -1/2x into the function:

f(-1/2x) = f(-1/2 * 6) = f(-3)

Therefore, we need to find the corresponding y-coordinate for x = -3. Unfortunately, since we don't have additional information about the function f(x), we cannot determine the value of f(-3) and provide the corresponding point.

In summary, without more information about the function f(x), we cannot find the corresponding point for the function f(-1/2x) when (6, 3) is on the graph of f(x).

To know more about function:

https://brainly.com/question/4514680

#SPJ6

Answer:

The correct answer to the following question will be Option B (Incenter).

Step-by-step explanation:

The middle of the circle which is carved in a triangle is the triangle incenter, the point where the triangle angle bisectors cross.

There are following steps to construct an inscribed circle in a triangle are as follows:

Step 1: Create the incenter.

Step 2: Construct a line that passes through incenter, perpendicular to one side of the triangle. The segment which connects the incenter with the triangle intersection point and the perpendicular line is the circle radius.

Step 3: Build a centered circle at the incenter with radius spotted in step 2.

Answer: [tex]\frac{1}{17576000}[/tex]

Step-by-step explanation:

Given: A state’s license plates consist of 3 letters followed by 3 numbers.

Since, there are 26 letters in English alphabet and 10 digits in set of numbers(0,1,....,9).

Then , the total number of license plates can be generated (if repetition is allowed)=

[tex]26\times26\times26\times10\times10\times10=17576000[/tex]

In AHW304, each alphabet and number occurs only once, the number of license plate with this = 1

Now, the probability of randomly generating a license plate that reads AHW 304=[tex]\frac{1}{17576000}[/tex]

Answer:

1/17,576,000

Step-by-step explanation:

Answer:

The correct option is 3.

Step-by-step explanation:

The given piecewise function is

[tex]f(x)=\begin{cases}3x^2+1 & \text{ if } -4<x<6 \\ 6 & \text{ if } 6\leq x<9 \end{cases}[/tex]

Range is the set of output or y values.

The given function for 6 ≤ x < 9 is

[tex]f(x)=6[/tex]

It is a constant function, the value of function is 6 for all values of x.

Range = 6

The given function for -4 < x < 6 is

[tex]f(x)=3x^2+1[/tex]          .... (1)

It is a quadratic function.

The vertex form of a quadratic function is

[tex]f(x)=a(x-h)^2+k[/tex]         ....(2)

Where (h,k) is vertex and a is constant.

From (1) and (2), we get a=3,h=0,k=1.

The vertex of this function is (0,1), it means the range of this function is greater than or equal to 1. But this function is only defined for -4 < x < 6.

[tex]f(-4)=3(-4)^2+1=49[/tex]

[tex]f(6)=3(6)^2+1=109[/tex]

The maximum value of the maximum value of the function is 109 at x=6. Since 6 is not included in the interval -4 < x < 6, therefore 109 is not included in the range.

Range = [1,109)

When we combined the range of both functions we get

Range = [1,109)

Therefore the correct option is 3.

Answer:

76545

Step-by-step explanation:

got it write on edge :)

Answer:

D

Step-by-step explanation:

The discriminant of the given polynomial is 0, indicating one real root.

The discriminant of a quadratic equation is a value that can be used to determine the nature of the solutions (roots) of the equation. It is calculated using the formula b^2 - 4ac, where a, b, and c are the coefficients of the equation.

In the given polynomial, the coefficients are a = 4, b = -20, and c = 25. Plugging these values into the formula, we get: (-20)^2 - 4(4)(25) = 400 - 400 = 0.

Since the discriminant is equal to zero, the polynomial has one real root.

Answer:

(-2, 18) and (8, 38)

Step-by-step explanation:

First, set the two equations equal to each other to get $2x^2-10x-10=x^2-4x+6$. Combine like terms to get $x^2-6x=16$. To complete the square, we need to add $\left(\dfrac{6}{2}\right)^2=9$ to both sides, giving $(x-3)^2=16+9=25$.

So we have $x-3=\pm5$. Solving for $x$ gives us $x=-2$ or $8$. Using these in our original parabolas, we find the points of intersection to be $\boxed{(-2,18)}$ and $\boxed{(8,38)}$.

Credit: AoPs

positive means add

 so it would be a deposit into the account

 so A is the correct answer

2,4,7,12 for edgynuity. the way you can tell is because you look at the front.     12xy3 + 2x5y + 4x5y2 + 7x5y. the 12 1 4 7 are the coefficients.

Final answer:

The coefficients in the algebraic expression are 12, 2, 4, and 7, which are the numerical multipliers of the variable terms.

Explanation:

The coefficients in the expression 12xy^3 + 2x^5y + 4x^5y^2 + 7x^5y are the numerical factors that multiply the variables x and y in each term of the polynomial expression. The coefficients in this expression are 12, 2, 4, and 7. These are the numbers in front of the variable terms and not the exponents or the variables themselves.