Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?

Answer:

[tex]m\angle A = 91^{\circ}[/tex]

Step-by-step explanation:

All angles in a quadrilateral must add up to [tex]360^{\circ}[/tex], so [tex]\angle A + \angle B + \angle C + \angle D = 360^{\circ}[/tex]

We can now solve for [tex]\angle A[/tex] by substituting [tex]\angle B, \angle C, \angle D[/tex] for the correct values.

[tex]\angle A + \angle B + \angle C + \angle D = 360\\\angle A + 72 + 130 + 67 = 360\\\angle A + 269 = 360\\\\\boxed{\angle A = 91^{\circ}}[/tex]

That is the answer

- Kan Academy Advance

Answer:

120m²

Step-by-step explanation:

Area¹ = (6*5) = 30*2 surfaces = 60m²

Area² =(6*6) = 36m²

Area of Triangle =(1/2*4*6) = 12* 2 surfaces = 24m²

Total surface area = 60 + 36 + 24 = 120m²

=/120m²

[tex] \frac{9}{8 \: } = 1 \frac{1}{8} [/tex]

[tex] \sf \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \sf9 \div 8 = 1(1left)[/tex]

[tex]1 \frac{1}{8} [/tex]

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_______

Moumocl!

Answer:

noncollinear

Step-by-step explanation:

my guess sorry if im wrong

Done!

Answer:

[tex](f+g)(x)=3x^3-2x^2+10x-12[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=3x^3-2x^2+4x-5\\g(x)=6x-7 \end{cases}[/tex]

[tex]\begin{aligned}(f+g)(x) & = f(x)+g(x)\\& = (3x^3-2x^2+4x-5)+(6x-7)\\& = 3x^3-2x^2+4x-5+6x-7\\& = 3x^3-2x^2+4x+6x-5-7\\& = 3x^3-2x^2+10x-12\end{aligned}[/tex]

Answer:

22 inches

Step-by-step explanation:

3 feet = 36 inches

36-14=22

The other half is 22 inches long

Answer:

Step-by-step explanation:

Remark

The deck is divided into 4 different kinds of cards

clubs

diamonds

Hearts

Spades

Each kind of card has a 2

So there are 4 twos in a standard deck of cards.

Answer:

well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448[/tex]

The interquartile range of the data that is represented on the dot plot is: 2 chocolate chips.

Interquartile range (IQR) = upper quartile - lower quartile.

Upper quartile (Q3) = center of the second half of the data = 5

Lower quartile (Q1) = center of the first half of the data = 3

Interquartile range (IQR) = 5 - 3

Interquartile range (IQR) = 2 chocolate chips.

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Answer:

24/5

Step-by-step explanation:

x is 4.8, improper simplified is 24/5

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more is 0.036.

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more will be:

= (26 + 8 + 2)/1000

= 36/1000

= 0.036

The significance level is set at 5%, and the probability of the result is statistically significant because the probability of the difference is less than 5% significance level.

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The experimental probability that the next patient will be female and in the age range 22-39 is 56/420

Probability is the odds that a random event would happen. The odds usually lie between 0 and 1.

The experimental probability = number of female in the age range 22-39 / total number of patients

=  56/420

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The statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The box plot is missing.

The box plot is shown (please refer to attached picture)

The given options are:

As we know the property of box plot the difference between the lower and higher quartiles is greater than the difference between the upper and lower quartiles.

The spread between the lower quartile and the median:

= 15 - 9 = 6

= 19 - 15 = 4

Thus, the statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

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Answer z=2

See picture attached for the math

The volume of the given sphere.

[tex]\large\boxed{Formula:V = \frac{4}{3} \pi {r}^{3}}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve

Substitute the values according to the formula.

[tex]V = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex]V = 2143.573333 \: {cm}^{3} [/tex]

[tex]\large\boxed{= 2143.6 \: {cm}^{3} \: (nearest \: tenth)}[/tex]

Hence, the volume of the given sphere is 2143.6 cubic centimeters.

The expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)

Complex numbers are square root of negative numbers. They are expressed as a + bi

Using the expression

(4+7i)-2i(2+3i)

Expand

4 + 7i - 4i -2i(3i)

4 + 3i - 2(-3)

4 + 6 + 3i

10 + 3i

Hence the expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)

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Answer:

3 Cups of flour.

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

so i divided 5 by 365 because 365 days or in a year so 5/365=0.01369863013 and usually just said as 0.01

Hope This Helped

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

From the information provided, Jenna's taxable income is zero. See the explanation below.

The formula for taxable income is given as:

Gross Income Less Standard Deduction.

Since the current effective standard deduction for singles is $12,950 Jenna doesn't need to file a tax return since tax cannot be a negative figure.

it is to be noted that the rate payable for individual single taxpayers in 2022 is $10% up to $10,275.

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Answer: The answer is True .

The statement is false, these two ratios don't make a proportion.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

5/9, 56/99

we know, that, two ratios make a proportion if, a:b=c:d

but, here,

5/9= 5:9

56/99 = 56: 99

Hence, The statement is false, these two ratios don't make a proportion.

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Amalia would be correct. They are guessing when the height would be 10, and you are given an equation that will 'predict' that. Height is y, so substitute 10 in the equation and solve for x. You will get x=6

Answer:

25 = b

26 = c

Step-by-step explanation:

Answer:

a) 7 b) 24 c) 8.5 d) 11.4 (i think)

Step-by-step explanation:

Answer:

[tex]\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}[/tex]

Explanation:

Given Expression:

Use the Quadratic Formula:

[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

insert coefficients

[tex]\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}[/tex]

[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}[/tex]

[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}[/tex]

[tex]\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}[/tex]

[tex]\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}[/tex]

Use quadratic formula

[tex]\\ \rm\Rrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm \sqrt{36-60}}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm\sqrt{-24}}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm2\sqrt{6}i}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=1\pm \dfrac{sqrt{2}i}{\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow x=1\pm\sqrt{\dfrac{2}{3}}i[/tex]

I went thru it and im pretty sure that only these work

-10

-5

-3

Answer:

Mean = 2.2

Median = 1

Mode = 0 and 1

Range = 9

Step-by-step explanation:

First arrange the number of calls from least to greatest.

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

Mean is the average. Add the numbers together and divide by 10 since there are 10 numbers in total.

0 + 0 + 0 + 1 + 1 + 1 + 2 + 3 + 5 + 9 = 22

22/10 = 2.2

Mean = 2.2

Median is the middle number. Since there is an even amount of numbers, take the 5 and 6 number in the list, add them together and divide by 2. You are taking the average of the two numbers.

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

1 + 1 = 2

2/2 = 1

Median = 1

Mode is the number that occurs the most.

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

In the list the numbers 0 and 1 both occur 3 times.

Mode = 0 and 1

Range is the biggest number (9) minus the smallest number (0).

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

9 - 0 = 9

Range = 9