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A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the he

yawa3891 [41]

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

3 0

3 years ago

Please help me this is due tomorrow thank you

marusya05 [52]

Answer:

The answer is option B.

Step-by-step explanation:

3 0

2 years ago

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The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 54 -3. What is the point slope

dangina [55]

Answer:

$y+13=5(x+2)$

Step-by-step explanation:

<u><em>The correct question is</em></u>

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x -3. What is the point slope form of the equation for this line?

we have

$y=5x-3$

This is the equation of the line in slope intercept form

where

the slope is $m=5$

the y-intercept is $b=-3$

Remember that

The equation of the line in point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=5$

$point\ (-2,-13)$

substitute

$y-(-13)=5(x-(-2))$

$y+13=5(x+2)$

3 0

3 years ago

A rectangular playground is 40 meters by 10 meters its area will be covered with wood chips each bag of wood chips covers 200 sq

zysi [14]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangular playground is expressed as

Area = length × width

The rectangular playground is 40 meters by 10 meters. This means that the area of the playground would be

Area = 40 × 10 = 400 m²

Each bag of the wooden Chips to be used to cover the playground covers 200 sq meters. The number of bags needed would be

400/200 = 2 bags

Each bag costs $30. Therefore, the total cost for this project would be

2 × 30 = $60

7 0

3 years ago

A product is made up of three parts that act independently of each other. If any of the parts is defective, the product is defec

natali 33 [55]

Answer:

The probability that a product is defective is 0.2733.

Step-by-step explanation:

A product consists of 3 parts. If any one of the part is defective the whole product is considered as defective.

The probability of the 3 parts being defective are:

P (Part 1 is defective) = 0.05

P (part 2 is defective) = 0.10 P (part 3 is defective) = 0.15

Compute the probability that a product is defective as follows:

P (Defective product) = 1 - P (non-defective product)

= 1 - P (None of the 3 parts are defective)

= 1 - P (Part 1 not defective) × P (Part 2 not defective) × P (Part 1 not defective)

$=1-[(1-0.05)\times(1-0.10)\times (1-0.15)]\\=1-[0.95\times0.90\times0.85]\\=1-0.72675\\=0.27325\\\approx0.2733$

Thus, the probability that a product is defective is 0.2733.

3 0

2 years ago

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