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The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

Answer:

(i) It is known that the sum of probabilities of a probability distribution of random variables is one.

∴0+k+2k+3k+k

2

+2k

2

+(7k

2

+k)=1

⇒10k

2

+9k−1=0

⇒(10k−1)(k+1)=0

⇒k=−1,

10

1

k=−1 is not possible as the probability of an event is never negative.

∴k=

10

1

(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)

=0+k+2k

=3k

=3×

10

1

=

10

3

(iii) P(X>6)=P(X=7)

=7k

2

+k

=7×

10

1

2

+

10

1

=

100

7

+

10

1

=

100

17

(iv) P(0<X<3)=P(X=1)+P(X=2)

=k+2k

=3k

=3×

10

1

=

10

3

Area of a circle is pi x r ^2

R = diameter/2

R = 1.8/2 = 0.9

Area = 3.142 x 0.9^2

Area = 2.5 square cm.

Answer:

7 > 24/4

Step-by-step explanation:

7 _ 24/4

Simplify 24/4

24/4 = 6

7 is greater than 6

7 > 24/4

7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.

Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:

1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.

2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.

3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.

The given numbers are:

7 and 24/4

To compare these numbers,

Convert the fraction 24/4 into the simplest form

Therefore,

\(\frac{24}{4} = 6\)

Now since 7 is greater than 6 so we use ">" between them.

Hence,

The complete equation will be 7 > 24/4.

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At \($5 \mathrm{pm}$\) the distance between the ships is changing at the speed of \($\mathbf{3 0 . 2 1}$\) knots

Firstly we need to an equation to represent both ships and the distance between each. A is moving \($25 \mathrm{knots}$\) west and \($B$\) is moving \($17 \mathrm{knot}$\) north. \($D$\)will be the distance between the two. Drawing it, you'll notice that it creates a right triangle.

So we use the Pythagorean Theorem:

\($$D^{\wedge} 2=A^{\wedge} 2+B^{\wedge} 2$$\)

Differentiate in relation to time:

\($$2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt})$$\)

Now we must find all of our variables.

\(& A=\text { time(speed })+\text { original distance }=5(25)+10=135 \\\)

\(& B=5(17)+0=85 \\\)

\(& D=V\left(A^{\wedge} 2+B^{\wedge} 2\right)=159.53 \\\)

\(& d A / d t=25 \\\)

\(& d B / d t=17\)

Plug in all your variables and solve for

\($(\mathrm{dD} / \mathrm{dt})$ :\)

\(& 2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt}) \\\)

\(& 2(159.53)(\mathrm{dD} / \mathrm{dt})=2(135)(25)+2(85)(17) \\\)

\(& 319.061(\mathrm{dD} / \mathrm{dt})=9640 \\\)

\(& \mathrm{dD} / \mathrm{dt}=9640 / 319.061 \\\)

\(& \mathrm{dD} / \mathrm{dt}=30.21 \text { knots }\end{aligned}\)

At \($5 \mathrm{pm}$\) the distance between the ships is changing at the speed of \($\mathbf{3 0 . 2 1}$\) knots

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Answer:

1.  

Vert. asymptote: x = {-3, 2}

Horiz. asymptote: y = 0

x-int: None

Question 3.

a. There is no hole

b. Vert. asymptote: x = {-2, 2}

c. f(x) = 0: x = {0, -1/2}

d. The graph has no hole at (-2, 4)

Question 4.

a. Vert. asymptote: x = {-2, 2}

b. f(x) = 0: x = {0, -1/2}

c. Horizontal asymptote: y = 2

d. The graph has no hole

I'm a bit confused.  Some of the things stated in the question aren't true like how there are holes in places where there aren't.

Answer:

   3

1   _

  15

Step-by-step explanation:

Answer:

B. The radius

Step-by-step explanation:

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle so we need to know the radius for it

Answer:

Your age(a) is 15 in this case.

If your brother is 1/3 of your age, that means multiply your brother's age by 3

Your sister is 9, and is 4 years older than your brother. In that case, we now know that your brother is 5

With that information, we can put this into a valid equation.

------------------------------------------------------------------------------------------------------------

turn 1/3 into a flipped fraction, 3/1 which is equal to 3

your brother's age is 5, so the first value would be 5

5 times 3 is 15, so that means a is 15

\(5 * 3/1 = 15\)

Answer:

Step-by-step explanation:

These equations are all written in slope-intercept form, so the question is relatively easy to answer. These rules apply.

1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

_____

Slope-intercept form is ...

  y = mx +b

m is the slope

b is the y-intercept

Answer:

Step-by-step explanation: 1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

SOLUTION

Given:

Explanation:

Final answer:

The height of the cabinet is 35 inches.

Answer: The correct answer is 341 children

Step-by-step explanation:

Firstly you solve for the number of children that like both types of ice cream.

Let us assume it to be x

(150 - x )+ x + (125 - x) + 166 = 391

150 + 125 + 166 - x + x - x = 391

441 - x = 391

X = 441 - 391

X = 50

Since 50 children like at least one type of ice cream, subtracting it from the total no. of children will give the number of children that like at most one type

Therefore, 391 - 50 = 341 children

Alternatively,

Sum up children who like only chocolate ice cream + pistachio ice cream only + does who don't like any type of ice cream

= (150 - 50) + (125 - 50) + 166

= 100 + 75 + 166

= 341 children

9514 1404 393

Answer:

  no

Step-by-step explanation:

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

We can use the values ...

  (x1, y1) = (1, -19)

  (x2, y2) = (-2, -7)

Putting these into the formula gives ...

  m = (-7 -(-19))/(-2 -1) = 12/-3 = -4

The slope is -4, not -1/4. Mark is incorrect.

Answer:

all sides have different lengths

and the third angle measures 90⁰

70

(

mi

hr

)

=

70

(

mi

hr

)

y

=

70

(

mi

hr

)

x

hr

=

70

(

mi

hr

)

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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Answer:

2x + 6x + 20 = 180

8x = 160

x = 20

EZ

give brainliest now

40 + 140 = 180 (proof)

Step-by-step explanation:

Answer:

★ The answer is 180

Step-by-step explanation:

Hope you have a great day :)

Answer:

here I hope this helps

Step-by-step explanation:

Hey there!

We generally use double point formula for the equation of a st.line passing through points.

Here,

(0,-2) and (2,8) are two points.

Using two point formula,

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

Put all values.

\((y + 2) = \frac{8 + 2}{2 - 0} (x - 0)\)

Simplify them to get answer.

\((y + 2) = 5(x - 0)\)

\(y + 2 = 5x\)

\(y = 5x - 2\)

Therefore therequired equation is y = 5x-2.

Hope it helps...

Answer: 136°

Step-by-step explanation:

In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.

180°=44°+x°

x=136°

Answer:

(J+F)+16=M

Step-by-step explanation:

This is the formula you would need more information for a specific answer.

The percent of the baked foods that are cakes will be 25.33%

It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.

The percent of the baked foods that are cakes will be:

= Number of cakes / Number produced daily × 100

= 95 / (280 + 95) × 100

= 95 / 375 × 100

= 25.33%

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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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The possible exact values of the trigonometric functions of θ are:

sin θ = -1/√3,  cos θ = √3/3, sec θ = √3

The law of sines, also known as the sine rule, is a mathematical principle that relates the sides and angles of a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides of the triangle.

Trigonometric functions are mathematical functions that relate angles to the ratios of the sides of a right triangle. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Each function represents a different ratio of two sides of a right triangle and can be used to solve problems in geometry, physics, engineering, and other fields that involve angles and triangles.

According to the given information,

Given that tan θ = -√(1/3) and 0 < θ < 180°, we can use the trigonometric identities to find the values of the other trigonometric functions of θ.

First, we can use the definition of the tangent function:

tan θ = opposite/adjacent

Since tan θ = -√(1/3), we can assign opposite = -1 and adjacent = √3 as their ratio equals -√(1/3). This means that the terminal side of the angle θ will lie in the fourth quadrant of the unit circle since the opposite is negative and the adjacent is positive.

Next, we can use the Pythagorean identity:

sin²θ + cos²θ = 1

to find the value of sin θ. Since we know that θ is in the fourth quadrant, we can assign sin θ = -1/√3, since sin θ is negative in the fourth quadrant and the ratio of opposite/hypotenuse of a 30-60-90 triangle is √3/2, which means the ratio of hypotenuse/opposite is 2/√3 = √3/3.

Then, we can use the definition of the cosine function:

cos θ = adjacent/hypotenuse

to find the value of cos θ. We know that adjacent = √3 and the hypotenuse is positive (since it is a length), so we can assign cos θ = √3/3.

Finally, we can use the reciprocal identity:

sec θ = 1/cos θ

to find the value of sec θ. We know that cos θ = √3/3, so we can assign sec θ = √3.

Therefore, the possible exact values of the trigonometric functions of θ are:

sin θ = -1/√3

cos θ = √3/3

tan θ = -√(1/3)

sec θ = √3

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8square centimeters

Step-by-step explanation:

1 square is 1cm2. theres 8 squares so 8cm2

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we consider that:

Hence the cost functions for Kiara and Donovon are given, respectively, by:

The costs will be the same when:

K(x) = D(x)

5 + 0.75x = 7 + 0.5x.

0.25x = 2

x = 2/0.25

x = 8.

They have to buy 8 tickets for the costs to be the same.

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