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4 years ago

What Is The Length Of Side BD?

Mathematics

1 answer:

emmainna [20.7K]4 years ago

8 0

This is a rectangle, meaning that all angles are right angles and all sides opposite to one another have equal length.

Since the length of CD is 24, the length of AB must also be 24.
Angle B is a right angle because this is a rectangle.

See anything? I'll you a hint. We have a right triangle with only one missing value.

What do we use to solve for missing lengths in a right triangle? The Pythagorean theorem, of course!

$a^2+b^2=c^2$

The length of c (the hypotenuse) is 26.
The length of a (one leg) is 24.
The length of b is unknown and we want to find it.

$24^2+b^2=26^2$

$576+b^2=676$

Subtract 576 by both sides.

$b^2=100$

Take square root of both sides.

$b=10$

The length of the missing leg is 10, meaning that the length of BD is 10.

This is what you should be needing. Enjoy!

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Alla [95]

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The distributive law of multiplication over basic arithmetic such as addition and subtraction is known as distributive property .

According to this property , multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the no . and then adding the products together .

In other words, according to the distributive property, an expression of the form A ( B + C ) can be solved as A ( B + C ) = AB + AC.

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Hence , the distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .

To know more on distributive property follow link :

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1 year ago

The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,

lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

For x < 10 minutes

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ghjhjhk

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