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BabaBlast [244]
3 years ago
5

Does anyone know the answer to this ?

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

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Find m Can you please provide a step by step
Fofino [41]

Answer:

∠ KLM = 27°

Step-by-step explanation:

∠ KLM + ∠ NLM = 90 , that is

3x + 7x = 90

10x = 90 ( divide both sides by 10 )

x = 9

Thus

∠ KLM = 3x = 3 × 9 = 27°

6 0
3 years ago
How do you solve for a?−5+a=-10
belka [17]

Hi there!

Here we go:

-5 + a = -10

Add 5 to each side of the equation


a = -5


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
Read 2 more answers
In an automobile parts factory, for every 175 carburetors 3 are found to be defective. At that rate how many carbureatots out of
Furkat [3]

Answer:

At the same  rate 18  carburetors out of 1,050 could be expected to be detective.

Step-by-step explanation:

The number of carburetors tested = 175

Defective pieces out o f 175 = 3

So, ratio of defected to tested =    3   :    175

Now, the number of carburetors tested in second batch = 1,050

Here, let the defective pieces = m

So, by the Ratio of Proportion,

\frac{3}{175}  = \frac{m}{1050}

or, m = \frac{1050  \times 3}{175}  = 18

⇒ m = 18

Hence, at the same  rate 18  carburetors out of 1,050 could be expected to be detective.

8 0
3 years ago
You have two parents, four grandparents, eight greatgrandparents, and so forth.
Leviafan [203]
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or 2^{2} ancestors.
In the third generation we have 8 ancestors ot 2^{3} ancestors.

We can see that each succesive generation has two times more members. The sum is:
2+4+8+16+...+ 2^{40}

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>S= a_{1} * \frac{1- r^{n} }{1-r}
<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
</span>S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550
<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = </span>10^{10}
Number of ancestors in 40 generations = 2.2*10^{12}

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
8 0
3 years ago
Help please 10points
ikadub [295]

Answer:

Have you tried copying and pasting?

Step-by-step explanation:

ctrl c

ctrl v

6 0
3 years ago
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