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ratelena [41]
3 years ago
14

A street has parallel curbs 40 feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The lengt

h of the curb between the stripes is 15 feet and each stripe is 50 feet long. Find the distance, in feet, between the strip

Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

Answer:

The distance, in feet, between the strip = 12 feet.

Step-by-step explanation:

From the figure attached in relation with the question, we can deduce that crosswalk is a parallelogram where

CD/AB = CE/AE

CD = 40

CE = 50

AE = 15

Let AB = x

50x = 15 × 40

X = 12

 The distance, in feet, between the strip is therefore 12 feet

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Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether
svet-max [94.6K]
<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

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

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

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

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
  • The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

3 0
2 years ago
Multiple Choice
inessss [21]
Answer:
B
Step-by-step explication:
(1/4)/(3/8)=(2/3)
5 0
3 years ago
Given rectangle ABCD with vertices A(1, 4), B(3, 6), C(6, 3), and D(4, 1), what is the
Hitman42 [59]

Answer:

  10√2

Step-by-step explanation:

A(1, 4), B(3, 6), C(6, 3), D(4, 1)

The distance formula tells you the distance d between two points (x1, y1) and (x2, y2) is given by ...

  d = √((x2-x1)² +(y2-y1)²

Then the side lengths are ...

  AB = √(2² +2²) = √8 = 2√2

  BC = √(3² +(-3)²) = √18 = 3√2

The perimeter is twice the sum of these sides, so is ...

  P = 2(2√2 +3√2) = 10√2 . . . the perimeter of the rectangle

6 0
3 years ago
Help me please !!!!!!!​
OLEGan [10]

Answer:

C

Step-by-step explanation:

because yeah

6 0
3 years ago
MATH QUESTION DOWN BELOW
Gnom [1K]
8/9+(-5/6)= 8/9-5/6 = 1/18
Therefore, 1/18/(1/6)
1/18*1/6 (cancel out)
your answer is 1/3

7 0
3 years ago
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