D(-8, 1), E(-3, 6), F(7, 4), G(2, -1) distance formula

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

Step-by-step explanation:

The answer is 30

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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The region along the horizontal axis where the net electric field is zero is region C.

In region C, the electric field produced by the positive charge is equal and opposite to the electric field produced by the negative charge. Therefore, the net electric field in this region is zero. The electric field is proportional to the gradient of the potential, and thus, the potential is constant in region C. Points in region C are equipotential points, meaning that they have the same electrical potential and the electric field is perpendicular to the equipotential surface.

In regions A, B, D, and E, the electric field is non-zero because the charges are not symmetrically placed with respect to the point in question, and thus, the electric field will have a net non-zero value in these regions.

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There were four (4) "F"s. Therefore, the correct answer is option D: "4".

The total number of residents who gave a grade to the new dining plan is 234 + 148 + 87 + 9 = 478, which is less than the total number of residents in the residence hall (482). This means that 482 - 478 = 4 residents did not give a grade to the new dining plan.

Therefore, the number of residents who gave a grade of F to the new dining plan is 482 - (234 + 148 + 87 + 9) - 4 = 4.

Therefore, the answer is D: 4, meaning that there were 4 "Fs".

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Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

The perimeter is 21.66

The figure is something like the one that is in the image below:

We want to find the total perimeter of the polygon ABECD

This will be:

AB + BE + EC + CD + DA

Remember that for a triangle rectangle of catheti A and B, the area is given by:

A*B/2

We know that the sides of the triangle rectangle are:

BE, EC, BC.

Because BE = EC, these can not be the hypotenuse of the triangle, then the catheti are BE and EC

Knowing that the area of the triangle rectangle is 8, we can write:

EC*BE/2 = 8

and EC = BE = x

x^2/2 = 8

x^2 = 8*2 = 16

x = √16 = 4

Then the two catheti of the triangle rectangle are 4 units long.

EC = 4

BE = 4

and we know that:

AB = BE = EC

then:

AB = 4

and because this is a rectangle, we also have:

DC = AB = 4

now we want to find the last side of the figure, AD,

Which we already know is equal to the hypotenuse of the triangle.

Remember the Pythagorean's theorem, which says that the sum of the squares of the catheti is equal to the square of the hypotenuse.

Both catethus are equal to 4, then we have:

H^2 = 4^2 + 4^2 = 32

H = √32 = 5.66

then:

DA = 5.66

Now we have:

AB = BE = EC = DC = 4

DA = 5.66

Then the perimeter is:

AB + BE + EC + CD + DA

4 +  4 + 4 + 4+ 5.66 = 21.66

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There are 60 students who chose spaghetti and pizza over corn dogs, tacos, and cheeseburgers, as their favorite lunch.

A circular graph is also known as a pie chart. It is used to display a set of data. The data can be in percentages or degrees or radians.

The given data are as follows:

Pizza: 45%

Corn dogs: 10%

Cheeseburger: 8%

Tacos: 12%

Spaghetti: 25%

The total number of students is 150.

The total percentage of students who eat spaghetti and pizza is (25%+45%), that is, 70%.

The total percentage of students who eat corn dogs, tacos, and cheeseburgers is (10%+12%+8%), that is, 30%.

The percentage difference is (70%-30%), that is, 40%.

Now, calculate 40% of the total students, that is, 150.

150×40% = 150×40/100

= 60

Therefore, the obtained answer is 60.

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The complete question is given in the following chart.

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer:

Sry I need points lol

Step-by-step explanation:

Yes because if you do 19.99 times 6 you get 119.94

C ((6.5) (3, 2), (2, 4), (6, 3), (1, 0)) , this relation is not a function

C ((6.5) (3, 2), (2, 4), (6, 3), (1, 0)) is not a function because it does not pass the vertical line test.

The vertical line test states that if a vertical line crosses the graph of a relation more than once, then the relation is not a function.

In this example, a vertical line drawn at x=6.5 will cross the graph twice, at (6.5, 3) and (6.5, 2).

Since a vertical line passes the graph twice, it does not pass the vertical line test and is not a function.
The theory used in this question is the Vertical Line Test,

which states that if a vertical line crosses the graph of a relation more than once, then the relation is not a function.

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C ((6.5) (3, 2), (2, 4), (6, 3), (1, 0)) , this relation is not a function

Because C ((6.5) (3, 2), (2, 4), (6, 3), and (1, 0) fail the vertical line test, they are not functions.

According to the vertical line test, a relation is not a function if a vertical line crosses its graph more than once.

A vertical line drawn at x=6.5 in this example will cross the graph twice at (6.5, 3) and (6.5, 2).

A vertical line fails the vertical line test and is not a function because it traverses the graph twice.

The Vertical Line Test is the hypothesis employed in this query.

which implies that a vertical line crossing a relation's graph more than once is a sign that the relation is not a function.

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Answer:

28

Step-by-step explanation:

Answer:

The answer is "7.248934".

Step-by-step explanation:

The area of the curve obtained after rotating it about the x-axis is :

\(2 \pi \int^2_1 y \sqrt{1+ \{ \frac{dy}{dx}\}^2 \ dx}\\\\y=x\ \ln \ x \ And \ \frac{dy}{dx}=1+ \lh\ x\)

So, The area of the curve obtained after rotating it about the x-axis is : \(2 \pi \int^2_1 (x \ln \ x) \sqrt{(\ln\ x)^2+ 2 \ln \ x+ 2\ dx}\\\\\)

Simpson's rule approximation with n=10 is:

\((\frac{1}{3})\times (0.1) \times ( f(1) + 4 \times f(1.1) + 2\times f(1.2) + 4 \times f(1.3) + 2 \times f(1.4) + 4 \times f(1.5) + 2 \times f(1.6) + 4 \times f(1.7) + 2 \times f(1.8) + 4 \times f(1.9) + f(2) ) = 7.248933= 7.248934\)  

Answer:

If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

27 is 50% of 54

Step-by-step explanation:

27 x 2 is 50% x 2

54 is 100%

☁️ Answer ☁️

27 is 50% of 54

We assume, that the number 50 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 50, so we can write it down as 100%=50.

4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.

5. Now we have two simple equations:

1) 100%=50

2) x%=27

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=50/27

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 50

100%/x%=50/27

(100/x)*x=(50/27)*x - we multiply both sides of the equation by x

100=1.85185185185*x - we divide both sides of the equation by (1.85185185185) to get x

100/1.85185185185=x

54=x

x=54

-GoogIe

Hope it helps.

Have a nice day noona!~ ￣▽￣

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

(4,5)

(5,6)

(6,7)

(7,8)

(8,9)

(9,10)

(10,11)

(11,12)

Answer:68%

Step-by-step explanation:

just took this test

The percentage of values is within the interval 111 to 139 will be "68%".

According to the question,

Mean = 125

Standard deviation = 14

Let,

The random variable be "X".

Now, the probability:

→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)

                           = P(-14 < X - 125 < 14)

                           = P(-\(\frac{14}{14}\) < \(\frac{(X-125)}{14}\) < \(\frac{14}{14}\))

                           = P(-1 < Z < 1)

When, Distribution function "\(\phi\)" now,

= \(\phi\)(1) - \(\phi\)(-1)

= \(\phi\)(1) - 1 + \(\phi\)(1)

= 2 × \(\phi\)(1) - 1

= 2 × 0.8413 -1

= 1.6826 - 1

= 0.6826 or,

= 68%

Thus the above answer i.e., "option C" is correct.

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Answer:

4 is the correct answer to your question

Answer:

the department should offer 50 sections of finite math and 60 section of applied calculus in order to fill all sections and accommodate all of the students

Step-by-step explanation:

Given the data in the question'

let x represent number of sections of finite math while y represent number of section of applied calculus.

as 6000 student will like to take math course;

in each section, finite math has 60 students while applied calculus has 50 students

so;

60x + 50y = 6000 --------------lets this be equ 1

we also know that; there are 110 sections in a semester

so;

x + y = 110 ------------------ let this be equ 2

multiply equation 2 by ( - 60 )

-60x + -60y = -6600 --------------- let this be equ 3

now lets add equation 1 and 3

0 - 10y = -600

-10y = -600

divide both sides by (-10)

-10y/-10 = -600/-10

y = 60

now lets substitute value of y in equation 2

x + 60 = 110

x = 110 - 60

x = 50

Therefore, the department should offer 50 sections of finite math and 60 section of applied calculus in order to fill all sections and accommodate all of the students

Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.

The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

x = -1±3 / 2

so, we get,

x = (-1 + 3)/2 = 1

x = (-1 - 3)/2 = -2

Then we can factorize this as:

f(x) = (x - 1)*(x + 2)

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

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complete question:

For the polynomial below, 3 is a zero.

g(x)= x³ - 2x² - 5x + 6

Express g (x) as a product of linear factors.

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

The amount of the portions can be made with one case will be 399.25 ounces.

Conversion means to convert the same thing into different units.

You buy tomatoes in 25 pounds (11.34 kg) cases.

We know that 1 pound (0.45 kg) is equal to 16 ounces (0.45 kg).

Then the number of the ounces in 25 pounds (11.34 kg) will be

⇒ 25 x 16

Multiply the numbers, then the expression will be

⇒ 400 ounces (11.33 kg)

In 25 pounds of tomatoes, there will be 400 ounces.

One portion of salad requires 0.75 ounces (0.02 kg) of tomatoes.

Then the amount of the portions can be made with one case will be

⇒ 400 – 0.75

⇒ 399.25 ounces

Thus, the amount of the portions can be made with one case will be 399.25 ounces.

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The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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Answer:

When a man loves a woman he becomes a SIMP

Step-by-step explanation:

Answer:

they get real deep in there

Step-by-step explanation:

I had the talk when I was 7

Answer:

B

Step-by-step explanation:

Solve each equation.

A. 7x + x + 4 = 2 (4x + 2)

8x + 4 = 8x + 4

0 = 0

x = all numbers

B. 3 (3x + 1) = 8x + x

9x + 3 = 9x

3 = 0

x = no solution

C. 10x + 8 = 5x + 8

5x = 0

x = 0

D. 5x + 15 = x − x

5x + 15 = 0

x = -3