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Gelneren [198K]
3 years ago
9

5x– 4y = -10 y = 2x – 5 y = x =

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

see the attached picture please

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Two fences in a field meet at 120 degrees. A cow is tethered at their intersection with a 15-foot rope, as shown in the figure.
bija089 [108]

Answer:

Area of the field that the cow graze  = 235.71 sq. ft

Step-by-step explanation:

Area of the field that the cow graze = (120 / 360) * πr²

   = (1/3) * (22/7) * 15 * 15

   = (22 * 5 * 15) / 7 =  1650 /7

   = 235.71 sq. ft

5 0
3 years ago
A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of get
adelina 88 [10]

Answer:

The  value is  P( H \  n \  T ) =  0.6049

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  P(H) =  0.7870

   The probability of getting three or more heads in a row or three or more tails in a row is    P(H \ u \   T )  =  0.9791

Generally given that it is a fair coin , then   P(H) = P(T) =  0.7870

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        P( H \  n \  T ) =  P(H) + P(T) -  P( H \  u \  T )

=>   P( H \  n \  T ) =  0.7870  + 0.7870 -  0.9791

=>   P( H \  n \  T ) =  0.6049

 

7 0
2 years ago
Look at the table of values below.
Eduardwww [97]

Answer:

y = 2x - 1

Step-by-step explanation:

1(2) - 1 = 1

2(2) - 1 = 3

3(2) - 1 = 5

4(2) - 1 = 7

3 0
3 years ago
Read 2 more answers
One of the vertices of an equilateral triangle is on the vertex of a square and two other vertices are on the not adjacent sides
Elina [12.6K]
<h2>Answer:</h2>

<em> The side of the triangle is either 38.63ft or 10.35ft</em>

<h2>Step-by-step explanation:</h2>

This problem can be translated as an image as shown in the Figure below. We know that:

  • The side of the square is 10 ft.
  • One of the vertices of an equilateral triangle is on the vertex of a square.
  • Two other vertices are on the not adjacent sides of the same square.

Let's call:

Since the given triangle is equilateral, each side measures the same length. So:

x: The side of the equilateral triangle (Triangle 1)

y: A side of another triangle called Triangle 2.

That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

\mathbf{(1)} \ x^2=100+y^2

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

y+(10-y)=10

Therefore, for Triangle 3, we have that by Pythagorean theorem:

(10-y)^2+(10-y)^2=x^2 \\ \\ 2(10-y)^2=x^2 \\ \\ \\ \mathbf{(2)} \ x^2=2(10-y)^2

Matching equations (1) and (2):

2(10-y)^2=100+y^2 \\ \\ 2(100-20y+y^2)=100+y^2 \\ \\ 200-40y+2y^2=100+y^2 \\ \\ (2y^2-y^2)-40y+(200-100)=0 \\ \\ y^2-40y+100=0

Using quadratic formula:

y_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ y_{1,2}=\frac{-(-40) \pm \sqrt{(-40)^2-4(1)(100)}}{2(1)} \\ \\ \\ y_{1}=37.32 \\ \\ y_{2}=2.68

Finding x from (1):

x^2=100+y^2 \\ \\ x_{1}=\sqrt{100+37.32^2} \\ \\ x_{1}=38.63ft \\ \\ \\ x_{2}=\sqrt{100+2.68^2} \\ \\ x_{2}=10.35ft

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>

5 0
3 years ago
Read 2 more answers
a manufacturer of spiral notebooks randomly checked a box of 500 notebooks and found that 8 had defects. If the manufacturer pro
taurus [48]

Answer:32

Step-by-step explanation: 500x4=2000

8 defects times 4 =32

8 0
3 years ago
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