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liubo4ka [24]
2 years ago
11

The lawn is a circle with radius 3m. Work out the area of the lawn.

Mathematics
1 answer:
Umnica [9.8K]2 years ago
5 0

Answer:

28.27m

Step-by-step explanation:

the formula for area of a circle is

A= π x r^2

A = π x r^2 = π x 3^2 = 28.27433

You might be interested in
The Orchard Cafe has found that about 15% of the diners who make reservations don't show up. If 77 reservations have been made,
taurus [48]

Answer:

65 dinners are expected to show up

The standard deviation of the distribution is 3.13

Step-by-step explanation:

Given

Proportion = 15%

Population = 77

Required

Expected Number that'll show up

Standard Deviation

<em>If 15% won't show up; then</em>

<em>100% - 15% = 85% will show up</em>

Expected Number, E(x) of Dinner is calculated as thus;

E(x) = np

Where p = 85\% (calculated above)

and n = 77

Convert p to decimal

p = 0.85

So;

E(x) = 0.85 * 77

E(x) = 65.45

E(x) = 65

<em>65 dinners are expected to show up</em>

Calculating Standard Deviation, SD

Standard Deviation is calculated as;

SD = \sqrt{np(1-p)}

Substitute 0.85 for p and 77 for n

SD = \sqrt{77 * 0.85 * (1-0.85)}

SD = \sqrt{77 * 0.85 * 0.15}

SD = \sqrt{9.8175}

SD = 3.13328900678

SD = 3.13 (Approximated)

<em>The standard deviation of the distribution is 3.13</em>

4 0
4 years ago
The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
3 years ago
Determine which function has a greater initial value and explain how you know.
KiRa [710]
Dont press the links.
5 0
3 years ago
The difference of 2 and 3 times the number p
guapka [62]

Answer:

2 - 3p

Step-by-step explanation:

<em>hope this helps~</em>

3 0
3 years ago
Which set of integers is not a Pythagorean triple?
Leto [7]

Answer:

10,24,25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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