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soldi70 [24.7K]
3 years ago
10

A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is

the measure of the angle formed by the bottom of the ladder and the ground round to the nearest degree
Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

71.33 degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

cos\alpha = \frac{B}{L}

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33

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Answer:

D or A

Step-by-step explanation:

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Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol
aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

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Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

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The probability that the defect found is a surface finish is 0.03.

6 0
4 years ago
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Alex777 [14]

Answer:

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Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

  • 90°
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Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

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{2+2+2z=0 → 2z=-4 → z=-2
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3 0
3 years ago
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