Calculate the area of the triangle:
A=

(-2, 6)
(-2, 0)
(7,-5)

Helppp ASAP

A scale drawing with a 1: 0,8 scale will have sides that measure 2.24, 1.6, and 3.2.

A scale drawing refers to a drawing that has been made bigger or smaller but preserves the proportions of a drawing.

The first step is to decide the scale. In this case, the best scale is 1:0.8, which means the new drawing is 0.2 smaller. This scale is ideal because this sign is slightly bigger than regular signs.

Draw the sign by multiplying each side by the scale (0,8).

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Here, we want to calculate the measure of angle D

Firstly, we can calculate the measure of angle A

Since BE and AD are perpendicular, it follws that triangle ABE is a right angled triangle

Thus,

52 + A = 90

A = 90-52

A = 38

Now, from the question, we are told that EBD and CBD are congruent, meaning that they are equal

We can deduce from the diagarm that;

The reason for this is that they are all on a straight line and the measure of angles on a straight line is 180

Thus, since we have the two angles equal, then;

The measure of angle B in triangle ABD would be 64 + 52 = 116.

Since we have two angles out of triangle ABD, we can get the measure of the third angle which is angle D (Sum of angles in a triangle = 180)

Mathematically, that would be;

Answer: 2.5, 5.4

Step-by-step explanation:

\(-16t^2 +126t=213\\ \\ 16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)

Answer:

I used a calculator and it said "1.675"

Step-by-step explanation:

Issun Sengeki... Messatsu!

Plug "6.7/4" and 1.67500 appears.

Quote: "Weakness is a disease... I am the cure!"

- Akuma

Answer:

(-5, -2), and (0, -2)

Answer:

your answer would be B. -5 +3i✓3

Answer:

Sorry I cant help

Step-by-step explanation:

Answer:

Step-by-step explanation:

\((\frac{\sqrt{3}}{3} +\frac{\sqrt{3}}{2} i)^2\\=\frac{3}{9} +\frac{3}{4} i^2+2 *\frac{\sqrt{3}}{3} *\frac{\sqrt{3}}{2} i\\=\frac{1}{3} -\frac{3}{4} +i\\=\frac{4-9}{12} +i\\=-\frac{5}{12} +i\\\)

[i²=-1]

which is of the form a+bi

where a=-5/12,b=1

Answer:

the answer is 10

Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

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\(\sqrt[4]{81} -8( \sqrt[3]{216}) +15( \sqrt[5]{32}) +\sqrt{225}\) when simplified gives 0

Indices are small number that tells us how many times a term has been multiplied by itself. Indices are also the power or exponent which is raised to a number or a variable.

How to determine this

\(\sqrt[4]{81} -8( \sqrt[3]{216}) +15( \sqrt[5]{32}) +\sqrt{225}\)

When all of then are perfect square

\(\sqrt[4]{81}\)= 3 * 3 *3 *3

\(\sqrt[3]{216}\) = 6 * 6 * 6

\(\sqrt[2]{32}\) = 2 * 2 * 2 * 2 * 2

\(\sqrt{225}\) = 15 * 15

Therefore,

3 - 8(6) + 15(2) + 15

3 - 48 + 30 + 15

By collecting like terms

3 + 30 + 15 - 48

48 - 48

= 0

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Answer:

\(H_{o}\): Larger proportion of news media = democrats

Ha : Large proportion of news media \(\neq\) democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

Step-by-step explanation:

let 'x' represent the total number of students in the class

5 = 20% of x

0.20x = 5 divide both sides by 0.20

x = 25 students

there are 25 students in the class.

I'm not sure about the answer but still I think its right.....

Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

The probability distribution for the random variable f, the number landing face up when the die is tossed, is a discrete uniform distribution. The mean and standard deviation of this distribution are given as 3.5 and 1.7078, respectively.

When the die is tossed 5 times and the mean of the 5 values landing face up is recorded, this is referred to as a sample mean. The sample mean of 5 tosses of a die is also a random variable and its distribution is called the sampling distribution of the sample mean.

The simulation with 400 trials that you described is designed to estimate the sampling distribution of the sample mean. This can be done by repeating the process of tossing the die 5 times, finding the mean of the 5 values, and recording the result, 400 times. By collecting the sample mean values over 400 trials, it will give an idea of the distribution of the sample mean.

It's worth noting that as the sample size increases, the sampling distribution of the sample mean becomes closer to a normal distribution, known as the central limit theorem. And the mean of the sampling distribution becomes equal to the mean of the original distribution and the standard deviation of the sampling distribution becomes smaller.

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Step-by-step explanation:

(5/4_3/4)×(_2/27)÷_4

5_3/4

1/4×_2/27÷_4

1/54÷4

=0.004629

Answer:

≈ 22 cm

Step-by-step explanation:

the circumference (C) of a circle ( the perimeter ) is calculated as

C = 2πr ( r is the radius )

   = 2π × 7 = 14π

since divided into 2 equal parts then

\(\frac{1}{2}\) C = 14π ÷ 2 = 7π ≈ 22 cm ( to the nearest whole number )

Answer:

Step-by-step explanation:

10(a) (ii)=-10a

10 (b)=10b

n=10b

Using laws of the outside angle theorem, we can find the value of the arc x to be = 130°.

The measure of an exterior angle is equal to the sum of the measures of the two distant interior angles of the triangle, according to the external angle theorem. According to the exterior angle inequality theorem, any triangle's outside angle has a measure bigger than either of its opposing interior angles.

Here in the question,

As per the outside angle theorem,

50° = 180° - x°

Adding x° on both sides:

⇒ 50° + x° = 180°

Now subtracting 50° from both sides:

⇒ x° = 180° - 50°

⇒ x° = 130°

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i. The capacitance of the capacitor is approximately 53.1 nF. ii. The magnitude of charge on each plate is approximately 6.372 μC. iii. The new capacitance with acrylic between the plates is approximately 318.6 nF. iv. The flux density for the capacitor is approximately 1.2712 μC/m².

i. To determine the value of capacitance for the parallel plate capacitor, we can use the formula:

C = ε₀ * (A / d),

where C is the capacitance, ε₀ is the permittivity of vacuum (8.85 x 10^(-12) F/m), A is the cross-sectional area of the plates, and d is the separation between the plates.

Plugging in the given values:

A = 6 x 10^3 m²,

d = 5 mm = 5 x 10^(-3) m,

C = (8.85 x 10^(-12) F/m) * (6 x 10^3 m²) / (5 x 10^(-3) m)

  = 53.1 x 10^(-9) F

  = 53.1 nF.

Therefore, the capacitance of the capacitor is approximately 53.1 nF.

ii. The magnitude of charge on each plate can be determined using the formula:

Q = C * V,

where Q is the charge, C is the capacitance, and V is the voltage.

Plugging in the given values:

C = 53.1 x 10^(-9) F,

V = 120 V,

Q = (53.1 x 10^(-9) F) * (120 V)

  = 6.372 x 10^(-6) C.

Therefore, the magnitude of charge on each plate is approximately 6.372 μC.

iii. If acrylic is placed between the plates, the relative permittivity (εᵣ) of the medium affects the capacitance. The formula for the capacitance with a dielectric material is:

C' = εᵣ * C,

where C' is the new capacitance with the dielectric, εᵣ is the relative permittivity of the dielectric material, and C is the initial capacitance without the dielectric.

Plugging in the given values:

εᵣ (acrylic) = 6,

C (without dielectric) = 53.1 x 10^(-9) F,

C' = 6 * (53.1 x 10^(-9) F)

   = 318.6 x 10^(-9) F

   = 318.6 nF.

Therefore, the new capacitance with acrylic between the plates is approximately 318.6 nF.

iv. The flux density (D) for the capacitor can be calculated using the formula:

D = ε₀ * εᵣ * E,

where D is the flux density, ε₀ is the permittivity of vacuum (8.85 x 10^(-12) F/m), εᵣ is the relative permittivity of the dielectric material, and E is the electric field strength.

In the case of a parallel plate capacitor, the electric field strength is given by:

E = V / d,

where V is the voltage applied to the capacitor and d is the separation between the plates.

Plugging in the given values:

ε₀ = 8.85 x 10^(-12) F/m,

εᵣ (acrylic) = 6,

V = 120 V,

d = 5 x 10^(-3) m,

E = (120 V) / (5 x 10^(-3) m)

  = 24,000 V/m.

D = (8.85 x 10^(-12) F/m) * (6) * (24,000 V/m)

  = 1.2712 x 10^(-6) C/m².

Therefore, the flux density for the capacitor is approximately 1.2712 μC/m².

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Answer

Option A is correct.

Only (3, 2) is a solution of this equation given.

Explanation

The ordered pair which is a solution of this equation will be the option that satisfies the equation given when the values are inserted.

4x - 1 = 3y + 5

Option A

(3, 2)

x = 3

y = 2

4x - 1 = 3y + 5

4(3) - 1 = 3(2) + 5

12 - 1 = 6 + 5

11 = 11

This satisfies the given equation.

Option B

(2, 3)

x = 2

y = 3

4x - 1 = 3y + 5

4(2) - 1 = 3(3) + 5

8 - 1 = 9 + 5

7 ≠ 14

This does not satisfy the equation.

Option C

Only one of the answers is correct.

So, this option is wrong

Hope this Helps!!!

Answer:

Disagree

Step-by-step explanation:

An octagon has eight sides while the shape on the right has nine sides.

Answer:

No

Step-by-step explanation:

The shape shown in the picture has 9 sides(you can count) and therefore is not an octagon because octagons only have 8 sides.

Answer:

3

Step-by-step explanation:

lxl+6=3

|x|=3-6

|x|=-2

the | | sign is the inequality sign which aignifies the +and - value

+x=-2 or -x=-2

hence x=2 or -2

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since there are 34 students (17 girls; 17 boys), we would do 11, which is the number of students without pets, divided by 34. 11/34 is about 0.32. 0.32 as a percent is 32%. So, more than 30% of the students do not have pets.

Answer:

C. More than 30% of the students do not have pets.

Step-by-step explanation:

Total students: 34

Total students have pets: 23

Total students do not have pets: 11

\(\frac{11}{34} = 0.32\)

More than 32% of students do not have pets.

Therefore, answer choice C is the correct answer.

4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

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(0, 0) is the y-intercept of the given line.

To detect the y-intercept of a line in a graph, you need to find the point where the line intersects the y-axis. In other words, it's the point where the value of x is zero.

To find the y-intercept of a line on a graph:

If the equation of the line is in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept, then the value of b is the y-coordinate of the point where the line intersects the y-axis.

In the given graph line is paasing through origin (0, 0).

Thus, the value of y where the value of x will be zero is zero.

So the y-intercept is 0.

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Step-by-step explanation:

A is 7,0

B is 0,7

Because they are on an axis the other coordinate will have value 0 so it is just the sqroot of 49

In a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.

In a haplodiploid system, males develop from unfertilized eggs and are haploid, while females develop from fertilized eggs and are diploid. This means that sons inherit all of their genetic material from their mother, including her alleles from both her haploid sets of chromosomes. Maternal aunts, on the other hand, share one set of haploid chromosomes with their nephew (the son), as they are the sister of his mother. Therefore, the relatedness between a son and his maternal aunt in a haplodiploid system is 0.75 or 75%.

In a haplodiploid system, the relatedness of a son to a maternal aunt can be calculated using the following steps:

1. Determine the relatedness of the son to his mother: In haplodiploid systems, sons are haploid and inherit their single set of chromosomes from their mother. This means that they are 100% related to their mother, as they share all her genes.

2. Determine the relatedness of the maternal aunt to the son's mother: The maternal aunt is a sister of the son's mother. In haplodiploid systems, sisters share 75% of their genes, as they get half of their genes from their mother and the other half from their father (who, as a haploid male, gives all his genes to his daughters).

3. Calculate the relatedness of the son to his maternal aunt: To determine the relatedness of the son to his maternal aunt, multiply the son's relatedness to his mother (100%) by the maternal aunt's relatedness to the son's mother (75%).

Relatedness of son to maternal aunt = (1.0) * (0.75) = 0.75 or 75%

So, in a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.

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