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3 years ago

Find the value of x BRAINLEST I SWEAR TO GOD What is the root ?!

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

9514 1404 393

Answer:

x = √70

Step-by-step explanation:

The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...

x/(7+3) = 7/x

x^2 = 7(10) = 70

x = √70

_____

<em>Additional comments</em>

This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.

The same relation holds for BC:

BC = √(CD·CA)

A slightly different geometric mean relation holds for the altitude BD:

BD = √(DC·DA)

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A group of workers can plant 6 3/4 acres in 1 7/8 days. What is the unit rate in acres per day?

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Answer:

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3 years ago

Solve for b.<br> ab +c=d

pshichka [43]

Answer:

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An automobile manufacturer claims that its car has a 42.8 miles/gallon (MPG) rating. An independent testing firm has been contra

yanalaym [24]

Answer: -1.51

Step-by-step explanation:

Let $\mu$ be the population mean rating of car.

As per given , we have

$H_0: \mu=42.8$

$H_a: \mu\neq42.8$

Since population variance is known, so we use z-test.

Test statistic : $z=\dfrac{\overline{x}-\mu}{\sqrt{\dfrac{\sigma^2}{n}}}$

, where n= sample size

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$\sigma^2$ = variance

As per given ,

n=300

$\overline{x}=42.6$

$\sigma^2=5.29$

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Put these values in formula we get

$z=\dfrac{42.6-42.8}{\sqrt{\dfrac{5.29}{300}}}$

$z=\dfrac{-0.2}{\sqrt{0.0176333}}$

$z=\dfrac{-0.2}{0.13279}=-1.50613751035\approx1.51$

Hence, the value of the test statistic is z= -1.51 .

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4 years ago