ursula drew a polygon in which all the angels were obtuse. what kind of polygon could she have drawn

Answer:

  18086.4 yd³

Step-by-step explanation:

You want the volume of an oblique cylinder with a radius of 12 yd and a height of 40 yd.

The volume is given by the formula ...

  V = πr²h

  V = 3.14·(12 yd)²(40 yd) = 18086.4 yd³

The volume of the cylinder is about 18086.4 cubic yards.

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45.500 square units make up the region between the graph of y=x2-2 and the x-axis between x=0 and x=7.

The area between the graph of y=x^2-2 and the x-axis between x=0 and x=7 is calculated by first finding the area beneath the graph. This can be done by using the formula

A = ∫f(x)dx.

This integral is equal to

A = ∫(x^2-2)dx,

which when solved yields

A = (x^3/3)-2x.

Plugging in the values for x=0 and x=7 yields

A = (343/3)-(14)= 45.500.

To find the area between the graph and the x-axis, we subtract the area beneath the x-axis from the area beneath the graph. The area beneath the x-axis is 0, so the final answer is 45.500.This area is calculated by finding the area beneath the graph and subtracting the area beneath the x-axis.

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Answer:

A = 6

Step-by-step explanation:

just multiply the width by the length

Using the slope-intercept form, which is: y = mx + cWe know that m = 2/7, and we can find c by substituting y, x and m into the equation. We use the point (5, 2) because it lies on Line R. Therefore, c can be found by substituting (5, 2) and $\frac{2}{7}$ into the equation.2 = $\frac{2}{7}$(5) + cSimplifying for c:c = 2 - $\frac{10}{7}$ = $\frac{-4}{7}$Therefore, the equation of Line R is:y = $\frac{2}{7}$x - $\frac{4}{7}$ and is the answer in the form y = mx + c.

In order to determine the equation of line R in the form y = mx + c, where m and c are integers or fractions in their simplest forms, when Line R is perpendicular to Line T and line T points = (0, 11) and (2, 4) and line R point = (5, 2), we have to follow some steps:Step 1: Find the slope of Line T using its two pointsThe slope (m) of the line can be found by the slope formula: $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$Using (0, 11) and (2, 4), the slope (m) of the line is:m = $\frac{4-11}{2-0}$ = -$\frac{7}{2}$Step 2: Determine the slope of the perpendicular line R.The slope of any line perpendicular to another is the negative inverse of that line's slope. Therefore, the slope of line R is:$$m_{R} = \frac{-1}{m_{T}}$$Substituting mT = -7/2 we have:$$m_{R} = \frac{-1}{(-7/2)}$$ $$= \frac{2}{7}$$Step 3:

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The equation of line R, perpendicular to line T passing through the points (0,11) and (2,4), is y = 2/7x - 10/7.

Given that line R is perpendicular to line T, we need to find the equation of line R. The equation of line T is determined by the points (0,11) and (2,4). The slope of line T, calculated using the formula m = (y₂ - y₁) / (x₂ - x₁), is -7/2. The slope of line R is the negative reciprocal of the slope of line T, which gives us a slope of 2/7.

Using the point-slope form of the equation of a line, the equation of line R can be expressed as y - y₁ = m(x - x₁). Substituting the values y₁ = 2 and m = 2/7, we have y - 2 = 2/7(x - 5).

Simplifying the equation, we get y = 2/7x - 10/7. Therefore, the correct option is `(A)`.

Conclusion:

The equation of line R, perpendicular to line T passing through the points (0,11) and (2,4), is y = 2/7x - 10/7.

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Answer:

Step-by-step explanation:

the correct answer would be  -5/-1=|6x|

The absolute value equation for each of the graphs are |x + 3| = 2 and |x - 4| = 1 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables.

An inequality shows the non equal comparison of numbers and variables.

A) For the inequality shown, the midpoint is [(-1) + (-5)]/2 = -3. The distance from each of the endpoint to the midpoint is 2 units (i.e. from -1 to -3 or from -5 to -3). Hence:

Absolute inequality is:

|x - midpoint| = distance from endpoint to midpoint

This gives:

|x - (-3)| = 2

|x + 3| = 2

B) For the inequality shown, the midpoint is [3 + 5]/2 = 4. The distance from each of the endpoint to the midpoint is 1 units (i.e. from 3 to 4 or from 5 to 4). Hence:

Absolute inequality is:

|x - midpoint| = distance from endpoint to midpoint

This gives:

|x - 4| = 1

The absolute value equation for each of the graphs are |x + 3| = 2 and |x - 4| = 1 respectively.

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mean: 110

Standard deviation: 15

We have to apply the percentile formula:

z = (score- mean)/ standard deviation

z = (130-110)/15

z= 20/15

z= 1.3333333

Find the percentile with the z score in a z-score chart:

percentile:

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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Answer:

one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths

Step-by-step explanation:

Each of the numbers written in word form instead of standard form. Hope it helps!

each number and variable inside the parentheses has an exponent, in this case all of them are 1.

3^2 * x^2 + 4^2

9*x^2+16

final answer:

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

  302

Step-by-step explanation:

Given ...

  \(N^2 = 91,\!204\)

the value of N is found by taking the square root.

  \(N=\sqrt{91,\!204}=\boxed{302}\)

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

Answer:

2

Step-by-step explanation:

Weighted mean formula:

\(\overline{x}=\dfrac{\displaystyle\sum^n_{i=1} w_ix_i}{\displaystyle\sum^n_{i=1} w_i}\)

The weighted mean is calculated by dividing the sum of the product of each coordinate and its weight by the sum of the weights.

Given:

\(\begin{aligned}\implies \overline{x} & = \dfrac{w_1x_1+w_2x_2}{w_1+w_2} \\\\ & =\dfrac{2 \cdot -3 + 5 \cdot 4}{2 + 5}\\\\& = \dfrac{-6+20}{7}\\\\& = \dfrac{14}{7}\\\\& = 2 \end{aligned}\)

Therefore, the weighted mean (weighted average) is 2.

Answer:

What is it?

Step-by-step explanation:

Answer:

13 stamps : 17 stickers

Step-by-step explanation:

52 stamps : 68 stickers can be simplified down to 13 stamps : 17 stickers because their greatest common factor is 4

Answer:

m

Step-by-step explanation:

m x m x m x m x m = \(m^{5}\)

So the base would be "m", the exponent is "5".

Answer: A. m>5

Step-by-step explanation:

Answer:

24 times

Step-by-step explanation:

75% = 0.75, so then you just do 0.75 * 32 = 24

Answer:

For this question, multiply 75% or 0.75 with 32. The result would be 24. So, Augie has hit the baseball 24 times.

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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The eccentricity of an infinitely long ellipse will be less than 1.

The ratio of the focus's distance from the ellipse's center and the ellipse's distance from one of its ends.

It is easy to comprehend how circular an ellipse is in relation to a circle when we consider its eccentricity. It also measures the ovalness of the ellipse and eccentricity close to one refers to the high degree of ovalness.

The eccentricity of an ellipse is always less than 1 i.e e < 1. The formula for the eccentricity of an ellipse is given by

Which can be written as

Where

e = Eccentricity of the ellipse

c = Distance of the focus from the center of the ellipse

a = Distance of the end of the ellipse from the center

As we know the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.

Therefore,

The eccentricity of an infinitely long ellipse will be less than 1.

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Step-by-step explanation:

\( - 24 > x + 4\)

\( - 28 > x\)

This is possible if the first twin was born just before midnight and the second twin was born just after midnight, on different calendar days.

For the most part, twins and multiples share the same birthday. However, depending on the time of day the babies are born and how long the timespan is between each baby's birth, twins can be born on different days.

Twins are defined as two offspring born together, but that doesn't necessarily mean they are born on the same date. Multiples are generally born only a few minutes apart. If delivered by cesarian section, the interval between births is usually only a minute, maybe two.

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Answer:

To find the area of the reduced triangle, we need to know the length of the base and the height of the triangle after the scaling.

Since the triangle has been reduced by a scale of 0.4, the length of each side has been multiplied by 0.4. Therefore, the base of the reduced triangle is:

10 cm × 0.4 = 4 cm

To find the height of the reduced triangle, we can use the fact that the ratio of corresponding sides in similar triangles is the same. Since the triangle has been scaled down by a factor of 0.4, the ratio of the corresponding sides is 0.4. Therefore, the height of the reduced triangle is:

30 cm × 0.4 = 12 cm

Now that we know the base and the height of the reduced triangle, we can calculate its area using the formula:

Area = (1/2) × base × height

Area = (1/2) × 4 cm × 12 cm

Area = 24 cm²

Therefore, the area of the reduced triangle is 24 cm².

Step-by-step explanation:

The probability that Ana is first in line or Bob is last in line is 0.200.

Since all outcomes are equally likely, the total number of possible outcomes is the same as the total number of permutations of the 20 kids in line, which is 20!.

To calculate the favorable outcomes, we can consider two cases:

Case 1: Ana is first in line: In this case, we fix Ana in the first position, and the remaining 19 kids can be arranged in 19! ways.

Case 2: Bob is last in line: In this case, we fix Bob in the last position, and the remaining 19 kids can be arranged in 19! ways.

Since we are interested in either Ana being first or Bob being last, we add the number of favorable outcomes from both cases.

So, the total number of favorable outcomes is 19! + 19! = 2 * 19!.

Therefore, the probability is (2 * 19!) / 20!, which simplifies to 2 / 20 = 0.100.

Rounding off to three decimal points, the probability is 0.200.

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