Which rectangle will have the largest area?

The back of Monique's property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen

kondor19780726 [428]

So long as the perimeters are the same, rectangles and squares share the same area. For example, a square that is 2m by 2m across is 4m squared. A rectangle of 4m by 1m across is still 4m squared.

Therefore all we want to do here is see how big we can make our “square” perimeter using the creek. We have three sides to spread 580ft across, therefore if we divide this by 3, we get 193.3ft of fencing per side. If we then square this figure, we will then get the maximum possible area, which comes to 37,377ft squared. (That’s a huge garden).

3 0

3 years ago

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Find the area of the shaded region. Express your answer in terms of π.

Bogdan [553]

Answer:

335.115

Step-by-step explanation:

First you find the area of the circles to do that you do pi times radius squared

For the top square do 3.14(pi)time 3²=28.26

For the middle square do 3.14 times 4.5²=63.585

For the bottom square do 3.14 times 6²=113.04

Now find the area of the entire thing do 18×12+9+6+3=18×30=540

Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115

So the shaded region is 335.115

Hope this helps and have a great day!

6 0

2 years ago

What is the total perimeter of the pitch and seating area?

natima [27]

1m = 100 cm

so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm

perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm

total area of the pitch and seating area :
= 12,000 + 6,600 + 3,600 + 628.32 = 22,828.32 cm

answer
22,828.32 cm

4 0

3 years ago

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What is 10% of 50? 10 5 60

otez555 [7]

Answer:

5

Step-by-step explanation:

The common number in 50 is 5. So you just multiply; 50×0.1=5

3 0

3 years ago

The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha

Charra [1.4K]

Answer:

a) $P(X>66)=P(Z>1)=1-P(Z$

b) $P(\bar X >66)=P(Z>2)=1-P(Z$

c) $P(\bar X >66)=P(Z>10)=1-P(Z$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(64,2)$