Solid metal support poles in the form of right cylinders are made out of metal with a density of 5.4 g/cm^3. This metal can be purchased for $0.71 per kilogram. Calculate the cost of a utility pole with a radius of 17.8 cm and a height of 700 cm. Round your answer to the nearest cent. (Note: the diagram is not drawn to scale)

Answer:

15/50 will be your answer 30%

Step-by-step explanation:

First add them all up.

Then you want to make a simple equation

15/50

Answer:

30%

Step-by-step explanation:

15+10+2+20+3 = 50

therefore 15 is 30% of 50

Answer:

ge·om·e·try

/jēˈämətrē/

Learn to pronounce

noun

the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

a particular system of geometry.

plural noun: geometries

"non-Euclidean geometries"

the shape and relative arrangement of the parts of something.

"the geometry of spiders' webs"

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

Answer: Acute scalene triangle

A triangle with uneven degrees on all sides is known as a scalene triangle. Since none of the degrees are above 90, this triangle can also be described as acute.

The value of the unknown term in the given triangle that satisfied the relation of angle bisector theorem is 9.

What about angle bisector theorem?

The angle bisector theorem is a fundamental theorem in geometry that relates the lengths of the sides of a triangle to the lengths of the segments formed by the intersection of an angle bisector with the opposite side.

Specifically, the angle bisector theorem states that the length of the segment of the side of a triangle that is opposite to the bisected angle is proportional to the lengths of the other two sides of the triangle. More precisely, if AD is the bisector of angle BAC in triangle ABC, then:

BD/DC = AB/AC

where BD and DC are the lengths of the segments of side BC that are adjacent to point A, and AB and AC are the lengths of the sides opposite to angles B and C, respectively.

This theorem is useful in many geometric constructions and proofs, and can be applied to various problems involving triangles and their properties.

According to the given information:

Using the concept of height and distance we have that,

\(tan(y) = \frac{4}{12} \\\\tan(2y) = \frac{2tany}{1-(tany)^{2} }\)

In the given figure of triangle the value of tan(2y) = \(\frac{4+x}{12}\)

So, when we correlate all of them we have that

\(\frac{2*\frac{4}{12} }{1-(\frac{4}{12}) ^{2} } = \frac{4+x}{12} \\\\x = 5\)

So, the length of the unknown part is 9.

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Answer:

290 dollars

Step-by-step explanation:

$44(to rent the car) x 5 = $220

$7( for insurance) x 5 = $35

35$ for gas

Add all those prices up:

220 + 35 + 35= 290

I hope this helps...

Answer:

The area of a triangle is A=1/2*b*h

When we graph the vertices of the triangle on a graph, we see that the lowest points are at y=-2, and the highest point is at y=1.  Therefore, our height is 3.

The base of the triangle goes from (0,-2) to (8,-2), which gives us a length of 8 for our base.

A=1/2*(8)*(3)

A=12

or

Answer:

12 square unit.

Step-by-step explanation:

Since, the area of a triangle having vertices ,  and  is,

Here, the vertices of the triangle are (0, −2), ​(8, −2) and ​ (9, 1),

Hence, area of the given triangle is,

Answer:

75.03

Step-by-step explanation:

14×11×sin(77)

= 75.02649499..

≈ 75.03 (rounded to nearest hundredth)

Answered by GAUTHMATH

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

C

Step-by-step explanation:

7.67 is greater than 7.66666...

A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.

The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.

The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.

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Find some coordinates

y=x+2

y=1/2(x+3)(x-5)

Graph attached

Solutions are

Answer:

Step-by-step explanation:

4

Answer:4

Step-by-step explanation: I have 2 apples and my friend gives me 2 more  it'll give me 4. Also you put up 2 fingers and and you add 2 more that will also give me 4.  

Answer:

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.4137.

Step-by-step explanation:

The point estimate is the sample proportion.

Sample proportion:

103 out of 249, so:

\(p = \frac{103}{249} = 0.4137\)

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.4137.

Answer:

A. No, it is not possible. An equilateral triangle is also an equiangular triangle, meaning all of its angles measure 60°.

B. Yes, it is possible. By the Triangle Inequality Theorem:

15 + 15 > 20, and 20 + 15 > 15

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

Step-by-step explanation:

The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:

balance = $5000 + $825 * months

where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.

Therefore, the model for this situation is linear.

Answer:

1 solution

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

a. vertical

b. corresponding

c. same-side interior angles

d. alternate exterior

e.alternate interior

f. same-side exterior

g. vertical angles

h. corresponding angles  

Step-by-step explanation:  

Definitions:  Alternate interior angles: two nonadjacent interior angles on opposite sides of the transversal.  

Same-side interior angles: two interior angles on the same side of the transversal.  

Corresponding angles: two angles in corresponding positions relative to the two lines  

a. Angle 1 and Angle 4:  These angles are vertical angles.  

b. Angle 2 & Angle 6:  These angles are corresponding angles.  

c. Angle 3 and Angle 5:  Same-side interior angles

d. Angle 1 & Angle 8:  Alternate exterior

e. Angle 4 and Angle 5:  Alternate interior angles

f. <2 & <8

Same-side exterior angles

g. <6 & <7    vertical angles

h. <3 & <7

Corresponding angles

The program is an illustration of loops and conditional statements and the part of the complete program is

n = int(input())

for i in range(1,n+1):

  if not(i%3 == 0 or i%5==0):

The program written in Python where comments are used to explain each line is as follows:

#This gets input for n

n = int(input())

#This iterates through n

for i in range(1,n+1):

  #If the current number is not a multiple of 3 and 5

  if not(i%3 == 0 or i%5==0):

      #This prints the number

      print(i,end="")

  else:

      #This prints "Fizz", if the current number is a multiple of 3

      if i%3 == 0:

          print("Fizz",end="")

      #This prints "Buzz", if the current number is a multiple of 5

      if i%5==0:

          print("Buzz",end="")

  #This prints a new line

  print()

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Answer:

\(3 {x}^{2} - 15x - 18 = 0\)

\( {x}^{2} - 5x - 6 = 0\)

\((x + 1)(x - 6) = 0\)

x = -1 or x = 6

The coordinates of the zeroes are (-1, 0) and (6, 0).

The graphs of the functions f(x) and g(x) are attached with the answer.

       \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given are the functions f(x) and g(x).

The given functions are -

f(x) = \($100(\frac{3}{5})^{x}\)

g(x) = \($100(\frac{2}{5})^{x}\)

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

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Answer: approximately normal

Step-by-step explanation:

Answer:

base length = 48/height

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

10. The table represents the relationship between the base length and the height of some parallelograms, Both measurements are in inches. What is the relationship between

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

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

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

-2/8 or  -1/8

Step-by-step explanation:

The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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