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2 years ago

Help pleaseeee!!!!!!!

Mathematics

1 answer:

mylen [45]2 years ago

6 0

Help with what? I need more information

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In a park,a sidewalk is built around the edge of a circular pond.The sidewalk is 7 feet wide,and the pond measure 15 feet across

densk [106]

Answer:

91.14 feet

Step-by-step explanation:

Given:

In a park,a sidewalk is built around the edge of a circular pond.

The sidewalk is 7 feet wide, and the pond measure 15 feet across.

Question asked:

What amount of railing would be needed to go completely around the outer edge of the sidewalk?

Solution:

From distance from one edge of the pond to the another = 15 feet

That means diameter of the pond = 15 feet

And width of the sidewalk = 7 feet all around

combined diameter = 15 + 7 + 7 = 29 feet

Radius,r = $\frac{Diameter}{2} =\frac{29}{2} ==14.5\ feet$

That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet

Now, we will have to find circumference of outer circular edge of sidewalk:

$Circumference\ of\ circle=2\pi r$

$=2\times\frac{22}{7} \times14.5\\ \\ =\frac{638}{7} \\ \\ =91.14\ feet$

Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.

7 0

2 years ago

there are four semi trailer trucks parked in a line at the rest stop after the first truck each truck in the line weighs 2 tons

alexira [117]

Call the weght of the first truck " $w_{1}$ ". We then know that the truck after that is 2 tons more, and the next and the next. i.e:
$w_{2} = w_{1} + 2$
$w_{3} = (w_{2} + 2) = (w_{1}+4)$
$w_{4} = (w_{3} + 2) = (w_{1}+6)$

We also know that total is 32 tons.
$w_{total} = 32 = (w_{1}) + (w_{2}) + (w_{3}) + (w_{4})$
$32 = (w_{1})+(w_{1}+2)+(w_{1}+4)+(w_{1}+6)$
$32= 4(w_{1})+12$
$20=4(w_{1})$
$w_{1} = 5 tons$

Therefore the trukcs weigh 5,7,9 and 11 tons for a total of 32 tons.

Converting to pounds, the trucks weigh 10,000, 14,0000, 18,0000 and 22,000 pounds.

3 0

2 years ago

ΔABC with vertices A(-3,-3), B(6,3), and C(6,-9) is dilated by a scale factor of 1/3 from the origin. What are the coordinates o

Dovator [93]

Answer:

(-1,-1)

Step-by-step explanation:

7 0

3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).21,42,84,...Find the 7th term.

Julli [10]

Answer:

21,42,84,168,336,672, 1,344

Step-by-step explanation:

The pattern is to multiply the previous term by 2 to find the next term. The seventh term should be 1,344.

4 0

3 years ago

Read 2 more answers

The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inche

Tcecarenko [31]

9/100 = x/90
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches

6 0

2 years ago