Plz help will mark Brainliest What is the length of Ac

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

The number of dogs ate 36 treats is 4 dogs.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, two spoiled dogs eat a total of 18 treats in a certain amount of time.

Number of treats ate by each dog = 18/2

= 9 treats

Number of dogs ate 36 treats = 36/9

= 4 dogs

Therefore, the number of dogs ate 36 treats is 4 dogs.

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The mean number of elective classes offered at different middle schools is given as follows:

8.25 elective classes per school.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The data-set in this problem is given as follows:

Hence the sum of the observations is given as follows:

2 x 7 + 3 x 8 + 2 x 9 + 1 x 10 = 66.

The number of observations is given as follows:

2 + 3 + 2 + 1 = 8 schools.

Hence the mean number is given as follows:

66/8 = 8.25 elective classes per school.

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The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:

you now if you wont to find the value you can type distance calculator and see the points

Step-by-step explanation:

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

Answer:5 8

Step-by-step explanation:left 2 up 3

Triangle HGI and RPQ are similar triangle. Any options that do not match with the condition of similarity given below would be the required incorrect options.

Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.

Here,
Triangle HGI and RPQ
GH/RQ = GI /PQ = HI/RP
∠H = ∠R
∠G = ∠Q
∠I = ∠P

Triangle HGI and RPQ are similar triangle

Thus, Triangle HGI and RPQ are similar triangle. Any options that do not match with the condition of similarity given below would be the required incorrect options.

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Let x represent the number of children that attended

Let y represent the number of adults that attended

From the information given,

If on a certain day, 2900 people entered the zoo, it means that

x + y = 2900

The admission fee at a local zoo is $1.50 for children and $7.00for adults. This means that the admission fee for x children is 1.5 * x = 1.5x and the admission fee for y adults is 7 * y = 7y

If the total amount received from 2900 people is $14250, it means that

1.5x + 7y = 14250

From the first equation, x = 2900 - y

By substituting x = 2900 - y into the second equation, we have

1.5(2900 - y) + 7y = 14250

4350 - 1.5y + 7y = 14250

- 1.5y + 7y = 14250 - 4350

5.5y = 9900

y = 990/5.5

y = 1800

x = 2900 - y = 2900 - 1800

x = 1100

Thus, 1100 children and 1800 adults attended

The cruise ship's resultant velocity is approximately 22.67 mph, and its direction is approximately 10.2 degrees south of east.

To find the resultant direction, we can use vector addition. Let's represent the southward velocity of the cruise ship as vector A and the eastward velocity of the Gulf Stream as vector B.

Given:

Magnitude of vector A (southward velocity of the cruise ship) = 22 mph

Magnitude of vector B (eastward velocity of the Gulf Stream) = 4 mph

To find the resultant velocity, we add the two vectors together. Since the vectors are perpendicular to each other, we can use the Pythagorean theorem to find the magnitude of the resultant vector:

Resultant velocity = √(A^2 + B^2) = √(22^2 + 4^2) ≈ 22.67 mph

Now, to find the direction of the resultant vector, we can use trigonometry. The angle between the resultant vector and the south direction can be calculated as:

θ = arctan(B / A) = arctan(4 / 22) ≈ 10.17 degrees

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The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)

x + 14 = 5x - 74 (corresponding angles are equal to each other)

\(x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x\)

Answer:

22

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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Answer:

none

Step-by-step explanation:

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

Answer:

This is the answer..........

Answer:

Step-by-step explanation:

b i think if not it should be a sorry if im wrong

SOLUTION

Given the question in the question tab, the following are the solution steps to calculate the amount to be deposited

STEP 1: Write the formula for Future value annuity

Where:

FV = present value of an ordinary annuity

P=value of each payment

r=interest rate per period

n=number of periods

STEP 2: Write the given parameters

STEP 3: Calculate the P

Hence, the amount that must be deposited now is approximately 1884.76 to the nearest cents

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

\(f(x) = 4 {x}^{2} - 6x + 11\)

\(f(10 + h) = 4 ({10 + h})^{2} - 6(10 + h) + 11 \\ \)

\(f(10 + h) = 4(100 + 20h + {h}^{2}) - 60 - 6h + 11 \\ \)

\(f(10 + h) = 400 + 80h + 4 {h}^{2} - 60 - 6h + 11 \\ \)

\(f(10 + h) = 4{h}^{2} + 74h + 351\)

_____________________________________________

\(f(10) = 4 ({10})^{2} - 6(10) + 11\)

\(f(10) = 400 - 60 + 11\)

\(f(10) = 351\)

_____________________________________________

\( \frac{f(10 + h) - f(10)}{h} = \\ \)

\( \frac{4 {h}^{2} + 74h + 351 - (351)}{h} = \\ \)

\( \frac{4 {h}^{2} + 74h }{h} = \\ \)

\( \frac{4 {h}^{2} }{h} + \frac{74h}{h} = \\ \)

\(4h + 74\)

_____________________________________________

\(ah + b\)

\(4h + 74\)

So :

\(a = 4\)

\(b = 74\)

62 square yards is the area of the figure.

Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape

In the given figure there are three rectangle in that two are smaller rectangles squares.

The rectangle has length of 10 yd and width of 5 yd.

Area of rectangle (Large)=10×5

=50 square yds

The side length of smaller rectangle is 3 yards and width is 2 yd

Area of rectangle (small)=3×2

6 square yds.

As there are two smaller rectangles, then area will be 2(6)=12 yards.

Now total area = 50+12

=62 square yards.

Hence, the area of the figure is 62 square yards.

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Answer:

The greatest possible length is 14 cm.

The total number of smaller pieces is 37.

Step-by-step explanation:

The greatest common factor of these three numbers is 14.

Total number of smaller pieces = 10+12+15 = 37

Best Regards!

The measure of the angle formed by the plane's path and the road from city j to city k to the nearest tenth is approximately 58.1 degrees.

To find the measure of the angle formed by the plane's path and the road from city j to city k, we can use trigonometry. Specifically, we can use the tangent function to find the angle θ, which is the angle formed by the plane's path and the horizontal line passing through city j.

First, With city j at the origin and the road to city k running 9.4 miles south and 15.1 miles east. We can then line representing the plane's path, which intersects the road at some angle θ.

Next, we can use the tangent function to find θ. Since tangent is the ratio of the opposite side (15.1 miles) to the adjacent side (9.4 miles), we can calculate:

tan(θ) = 15.1 / 9.4

Using a calculator, we can find that:

θ= tan^-1(15.1 / 9.4) ≈ 58.1 degrees

This means that the plane's path makes an angle of  58.1 degrees with the horizontal line passing through city j.

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Answer:

$5122.04

Step-by-step explanation:

Continous interest formula:

\(P*e^{rt}\)=A

we have

\(3675*e^{4*.083}\\3675*1.39375284861\\5122.04171828\)

Which rounds to

5122.04

Answer:

  350

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

simply think about t = 0 (right at the beginning of the flight of the ball). everything in the functional expression turns to 0 except for the constant term 4.

that is the starting position or height of the ball, right when it gets hit.

so, for the height calculation this has to be added at all times to find the accurate height of the ball.

Answer with explanation:

Given: The population proportion: p = 0.46

Standard error = \(\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}\)  , where n= sample size.

a) n= 500,000

\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{500000}}\)

\(=\sqrt{\frac{0.46\times 0.54}{500000}}=\sqrt{0.0000004968}\approx0.00070\)

b) n= 1,000,000

\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{1000000}}\)

\(=\sqrt{\frac{0.46\times 0.54}{1000000}}=\sqrt{0.0000002484}\approx0.00050\)

c) n= 5,000,000

\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{5000000}}\)

\(=\sqrt{\frac{0.46\times 0.54}{5000000}}=\sqrt{0.00000004968}\approx0.00022\)

d) n= 10,000,000

\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{10000000}}\)

\(=\sqrt{\frac{0.46\times 0.54}{10000000}}=\sqrt{0.00000002484}\approx0.00016\)

e) n= 100,000,000

\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{100000000}}=\sqrt{0.000000002484}\approx0.00004\)

\(=\sqrt{\frac{0.46\times 0.54}{500000}}=\sqrt{0.0000004968}\approx0.00070\)