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pishuonlain [190]
3 years ago
10

Question 3 of 10

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

C) 3/8

Step-by-step explanation:

The total area is 4*6 = 24, and the square is 3*3 = 9 inside the rectangular, so the ratio of  the square to rectangular is 9 / 24 = 3/8, which is the probability.

If it is helpful, plz give me Brainliest.

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a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in
damaskus [11]

the area of the piece of land that is not part of the garden is 28,486ft^2 .

<u>Step-by-step explanation:</u>

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter.  We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ length(width)

⇒ 120(240)

⇒ 28,880ft^2

Area of Garden:

Area of circular garden given by

⇒ \pi r^2

⇒ \pi (\frac{D}{2})^2

⇒ \pi (\frac{20}{2})^2

⇒ \pi (10)^2

⇒ 100\pi

⇒ 100(3.14)

⇒ 314ft^2

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is 28,486ft^2 .

8 0
3 years ago
HURRY PLZ  (1)A slice is made parallel to the base of a right rectangular pyramid, as shown.
scoray [572]
The area of the resulting two-dimensional cross section with the dimensions shown in the figure can be determined by simply using the formula for the area of a rectangle.

Given:

Length = 12 mm
Width = 7 mm

Area = L x W
Area = 12 mm x 7 mm
Area = 84 mm^2
6 0
3 years ago
Read 2 more answers
If T(n) = 2n-7, what is the fifth term?
charle [14.2K]
T(5)=2\cdot5-7=3
8 0
3 years ago
What is the equation of the line that passes through the points (-2, 2) and (0, 5)?
Inessa [10]
Greetings!

We can use these points to find the slope of a line, using the slope formula: m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Input the points: 
m= \frac{(5)-(2)}{(0)-(-2)}

Combine like terms:
m= \frac{3}{2}

The Slope is Equal to:
\boxed{\frac{3}{2}}

To find the y-intercept of the line, we use the slope and the points. First, arrange the equation is slope y-intercept form:
y=mx+b

Input the slope and one of the points:
(5)=\frac{3}{2}(0)+b

Combine like terms:
(5)=b

The y-intercept is Equal to:
\boxed{5}

The Equation of the Line Is:
\boxed{y=\frac{3}{2}x+5}

I hope this helped!
-Benjamin
7 0
3 years ago
A horse race has 13 entries and one person owns 5 of those horses. Assuming that there are no​ ties, what is the probability tha
statuscvo [17]

Answer:

0.000777

Step-by-step explanation:

The number of possibilities that the 5 horses can finish in the first 5 spots is given by the permutation of those five horses in the first five positions:

n = \frac{5!}{(5-5)!}\\ n=5*4*3*2*1\\n=120\ ways

The number of possible outcomes for the first 5 places is given by the permutation of 13 horses in the first five positions:

N = \frac{13!}{(13-5)!}\\ N=13*12*11*10*9\\N=154,440\ ways

The probability that those five horses finish first, second, third, fourth and fifth is:

P=\frac{120}{154,440}\\ P=0.000777

4 0
3 years ago
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