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VLD [36.1K]
2 years ago
8

Brainliest!!!!!!!!!!!

Mathematics
1 answer:
snow_tiger [21]2 years ago
5 0

Answer:

  6.3 inches

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the sides of a right triangle.

__

The envelope can be modeled as a right triangle whose legs (a, b) are the width and length, and whose diagonal (c) is the hypotenuse. The Pythagorean theorem tells you ...

  a² +b² = c²

  a² +3² = 7²

  a² = 49 -9 = 40 . . . . . subtract 3²

  a = √40 = 2√10 ≈ 6.3

The length of the envelope is about 6.3 inches.

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a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l
yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r =  (x/2.π)

Find the area of the circle

a =  π(x/2π)^2

a =  π(x^2/4π^2)

Cancel π

a =  x^2/4π

Find the area of the square:

a =  (1-x/4)^2

a =  (1-2x+x^2)/16

Total area

A =  (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x =  -(-6.284)/{2.(7.142)}

x =  6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0
3 years ago
How many warnings can you get in brainly
yuradex [85]

Answer: just keep getting them until they suspend yo account

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of
Travka [436]

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that P(B) = 0.1

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that P(A|B) = 0.995

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325

93.25% probability that they have taken this steroid

4 0
3 years ago
Find the slope through each pair of two points. Report answers in simplest form.
yanalaym [24]

Answer:

m=0

Step-by-step explanation:

A general rule to remember is "rise over run" or m= \frac{y_{2} -y_1}{x_2-x_1}

To find the slope between these two pairs of points:

1. Choose one pair of points to be X1 and Y1 (it doesn't matter which)

   In this case, let's use (-11,3) so X1 =-11 and Y1= 3

2. The second pair will be (14,3) so X2 = 14 and Y2=3

3. Applying the equation above:  \frac{y_{2} -y_1}{x_2-x_1}

    It becomes: m= \frac{3-3}{14-(-11)}

                        m = \frac{0}{25}

                        m = 0

4 0
3 years ago
Koji is installing a rectangular window in an office building. The window is 8 2/3 ft The formula for the area of a rectangle is
larisa86 [58]
It's 5 because the fraction when you divide. 23.
7 0
3 years ago
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