All categories

3 years ago

A community is building a square park with sides that measure 150 meters. To separate the picnic

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Answer:

212 meters

Step-by-step explanation:

The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)

2 * 22500 = 45000

The square root of 45000 is about 212.13, which would round down to 212 meters.

You might be interested in

1. The great pyramid at Giza is the largest pyramid in the world, the area of its square base is 52,441 m squared, what is the l

AlladinOne [14]

Answer:

The length of each side of the base is $229\ m$

Step-by-step explanation:

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of a square

In this problem we have

$A=52,441\ m^{2}$

substitute in the formula

$52,441=b^{2}$

Square root both sides

$b=\sqrt{52,441}\ m$

$b=229\ m$

3 0

2 years ago

Find the sum of this infinite geometric series where a1=0.3 and r=0.1

ratelena [41]

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

$S=\frac{a_1}{1-r}$ where r is between -1 and 1 and $r$ is the common ratio, and $a_1$ is the first term of the series.

So let's plug in:

$S=\frac{0.3}{1-0.1}$

$S=\frac{0.3}{0.9}$

$S=\frac{3}{9}$ I multiplied bottom and top by 10.

$S=\frac{1}{3}$ I divided top and bottom by 3.

The sum is 1/3.

8 0

3 years ago

A business sells kicking tees by mail for 3 each the shipping charge is 5 the function p=n+5 shows how the number of tees n rela

melamori03 [73]

<u>Answer: </u>

When you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

<u>Solution: </u>

Information provided in the question seems to be less . so assuming following two things.

1)Given function p = n + 5 do not include shipping cost as shipping cost is also dependent on number of tees.

2)If shipping charges for 3 tees is 5 , then shipping charges of 1 tee is $\frac{5}{3}$

When you buy 2 tees , n = 2

Price = p = n+5 = 2+5 = 7

Shipping charges =( $\frac{5}{3}$ ) x 2 = $\frac{10}{3}$

So total price you pay for two tees = 7 + ( $\frac{10}{3}$ ) = 7 + 3.3333 = 10.3333 unit price.

When you buy three tees , n = 3

Price = p = n+5 = 3+5 = 8

Shipping charges =( $\frac{5}{3}$ ) x 3 = 5

So total price you pay for two tees = 8 + 5 = 13 unit price.

When you buy four tees, n = 4

Price = p = n+5 = 4+5 = 9

Shipping charges =( $\frac{5}{3}$ ) x 4 = $\frac{20}{3}$

So total price you pay for two tees = 9 + ( $\frac{20}{3}$ ) = 47/3 = 15.667 unit price.

Hence when you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

3 0

3 years ago

If line P bisects segmentAD at point O and if AO=z+4 and AD =3z-11, find OD

sleet_krkn [62]

Answer:

Line P bisects AD at O.

AD = AO + OD

(3z - 11) = (z + 4) + OD

(3z - 11) - (z + 4) = OD

3z - 11 - z - 4 = OD

2z -15 = OD

3 0

2 years ago

On average, 9.8 x 105 drivers visit

kakasveta [241]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers