A circular fountain has a radius of 9.4 feet find its diameter and circumference to the nearest tenth

Answers

Answer 1
Answer:

Answer:

18.8 feet, 59.1 feet to the nearest tenth

Step-by-step explanation:

The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.

The diameter D = 2r where r is the radius of the circle

The circumference = 2Πr = ΠD where Π = 22/7

Given that the circular fountain has a radius of 9.4 feet

Its diameter =  2 × 9.4 feet = 18.8 feet

The circumference = 22/7 × 18.8 feet

=59.09 feet

≈ 59.1 feet to the nearest tenth

Answer 2
Answer: diameter = radius * 2
9.4 * 2 = 18.8
diameter is 18.8 feet
circumference = \pi * diameter 
c = 3.14 * 18.8
c = 59.032
circumference is 59 feet.

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Two equations are given below:a − 3b = 4 a = b − 2 What is the solution to the set of equations in the form (a, b)? (−2, −2) (−3, −1) (−9, −7) (−5, −3)
To solve 493x = 3432x+1, write each side of the equation in terms of base
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7
Solve the equation x^2 - 8x + 15 = 0.

Answers

Answer:

x=5   x=3

Step-by-step explanation:

x^2 - 8x + 15 = 0

Factor

What 2 numbers multiply to 15 and add to -8

-5*-3 = 15

-5-3 = -8

(x-5)(x-3) =0

Using the zero product property

x-5 =0    x-3 =0

x=5   x=3

Answer:

x = -5

Evidence to support reasoning:

The amount of time needed to complete a certain road trip, t, varies inversely with the speed of avehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?

Answers

The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

What is speed?

The rate of change of position of an object in any direction is called speed.

How do you calculate speed when distance and time is given?

speed = (distance)/(time)

According to the given question

At a speed of 68 miles per hour, the trip will be complete in 15 hours.

⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles  

( because, distance = speed × time)

Therefore, the speed of car to complete the trip in 17 hours

= (1020)/(17) =60miles/hr

Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

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Answer:

x = 60

Step-by-step explanation:

t = (k)/(x)

15 = k/68

k=1020

~~~~~~~~~~~

17 = 1020/x

x = 1020/17

x = 60

F(x)=3x+1 and g(x)=x^2-6 find (f+g)(x)

Answers

Answer is x^2 + 3x - 5 As, f(x) = 3x + 1 And g(x) = x^2 - 6 We have to find (f+g)(x) For that we should know (f+g)(x) = f(x) + g(x) So it will become = (3x + 1) + (x^2 - 6) = 3x + 1 + x^2 - 6 = x^2 + 3x - 5

Answer:

It would be x^2 + 3x - 5.

Step-by-step explanation:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

5x2 + 18x − 2

5x2 + 13x + 2

5x2 − 18x − 8

5x2 + 13x + 8

Answers

Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4

Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8

The polynomial expression that represents the area of the rectangle is: C. 5x² - 18x - 8

What is the Area of a Rectangle?

Area = (length)(width)

Given the dimensions of the rectangle as:

  • Length = 5x + 2
  • Width = x - 4

Area of the rectangle = (5x + 2)(x - 4)

5x(x - 4) + 2(x - 4)

5x² - 20x + 2x - 8

Add like terms together

5x² - 18x - 8

Learn more about area of a rectangle on:

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There exists a similarity transformation that maps ABC to A'B'C. The measure ofthe measure of

Answers

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

3(2y-4) - 2 ) = 0.4 (1+y)

Answers

6y-12-2=0.4+0.4y
6y-10-0.4=0.4-0.4+0.4y
6y-6y-9.6=0.4y-6y
(-9.6=-5.6y)/5.6
1.7143=y