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Akimi4 [234]
3 years ago
12

A car travels 3 times around a traffic circle whose radius is 80 feet. What is the distance the car will travel? Use 3.14 for π

. Enter your answer in the box. ft
Mathematics
1 answer:
Harman [31]3 years ago
5 0

Answer : Distance will be 1507.2 feet .

Explanation :

Since we have given that

Radius of circle = 80 feet

So,

Circumference of circle is given by

2\pi r=2\times 3.14\times 80=502.4 \text{ feet}

Since , a car travels 3 times around a traffic circle.

So,

\text{ Distance covered by the car will travel}= 3\times 502.4= 1507.2 \text{ feet }

So, Distance will be 1507.2 feet .

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How many solution are there to the equation below -46=3×+7
Archy [21]

Answer:

Only one

Step-by-step explanation:

46=3x+7    /-7

39=3x       /:3

13=x

6 0
4 years ago
The length of a rectangular dog run is 2 feet more than twice the width, w, and the perimeter of the dog run is 32 feet. Solve t
Natalija [7]

Answer:

The width is:

  • width = 4.7 feet

The length is:

  • length = 11.3 feet

Step-by-step explanation:

Given the equation

2w\:+\:2\left(2w\:+\:2\right)\:=\:32

2w+4w+4=32          ∵ a\left(b+c\right)=ab+ac

Add similar elements: 2w+4w=6w

6w+4=32

subtract 4 from both sides

6w+4-4=32-4

6w=28

Divide both sides by 6

\frac{6w}{6}=\frac{28}{6}

w=\frac{14}{3}

Hence, the width is:

w=\frac{14}{3}

w = 4.7 feet

Therefore, the width is: 4.7 feet

As the length is:

2w+2 = 2(14/3)+2

          = 28/3 + 2

           = 34/3

            = 11.3 feet

Therefore, the length is: 11.3 feet

SUMMARY:

The width is:

  • width = 4.7 feet

The length is:

  • length = 11.3 feet
5 0
3 years ago
In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=2x+15 m ∠ A = 2 x + 15 and LaTeX: m\angle B=x m ∠ B = x . Fi
Margarita [4]
Answer:
x = 55

Explanation:
In a parallelogram, the sum of each two consecutive angles is 180°.

In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°

Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55

Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°

Hope this helps :)

8 0
3 years ago
What 2 numbers divide into 108 but subtracts to 6
konstantin123 [22]
You only have to check the first few, since as the factors increase, the numbers go up faster. Checking, 3 and 9 both divide 108. The answers are 3 and 9.
6 0
3 years ago
A child throws a ball with a speed of 5 feet per second at an angle of 73 degrees with the horizontal. Express the vector descri
maxonik [38]

Answer:

  v = 5cos(73°)i +5sin(73°)j

Step-by-step explanation:

The components of the velocity vector are ...

  horizontal (i direction): 5·cos(73°)

  vertical (j direction): 5·sin(73°)

Then the velocity vector is the sum of these component vectors:

  v = 5cos(73°)i +5sin(73°)j

3 0
3 years ago
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