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3 years ago

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

41 units

Step-by-step explanation:

Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.

c² = a² + b²

c² = 9² + 40²

c² = 81 + 1600

c² = 1681

c = 41

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The answer is 69.

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3 years ago

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsour

Sliva [168]

Answer:

P(X=5)=0.1032

Step-by-step explanation:

This variable can be modeled by a binomial distribution, with parameters n=15 (sample size) and p=0.2 (the individual probability that the company use a consultant).

The probability that k companies that outsource overseas use a consultant can be written as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{15}{k} 0.2^{k} 0.8^{15-k}\\\\\\$

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3 years ago

What is the distance between (0,-1), (5,1)

BlackZzzverrR [31]

Answer:

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3 years ago

Read 2 more answers

Minus then changes from 115.5 inches tall to 23.1 inches tall. What percent of change is that?

strojnjashka [21]

Answer:

80%

Step-by-step explanation:

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3 years ago

This is the one and i know its probably super easy but i dont know

DENIUS [597]

Step-by-step explanation:

this one is a "thousand times" more complex than the inequality question to put there.

still easy, yes, for an experienced person, but here it is clear you need to understand lines, coordination grids, and overall deal with 2 variables (here : x and y) and therefore 2 dimensions.

the general line function is typically presented as

y = ax + b

a is the slope. that is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

and b is the y-intercept (the y value when x = 0), giving us the information about the point, where the line crosses the y-axis.

and so, look for yourself, which of the 4 equations has a b of +3 ?

y = 3x no, b = 0

y = x + 3 yes, b = 3, this is correct

y + 3 = x hmm. let's first bring it into the normed form

y = x - 3 aha ! no, b = -3

y = x - 3 no, the same thing as before. b = -3

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2 years ago