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The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

3 years ago

construct a two column proof proving SM RN, given RM SN and ∠MRS ∠NSR. Submit the entire proof to your instructor.

AveGali [126]

I cannot see the column please text me

8 0

3 years ago

The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined

zlopas [31]

The probability that a randomly selected score is greater than 334 will be 0.02275.

<h3>What is a normal distribution?</h3>

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.

Then the probability that a randomly selected score is greater than 334 will be

The z-score is given as

z = (x - μ)/σ

z = (334 - 310)/12

z = 24/12

z = 2

Then the probability will be

P(x > 334) = P(z > 2)

P(x > 334) = 1 - P(x<334)

P(x > 334) = 1 - 0.97725

P(x > 334) = 0.02275

More about the normal distribution link is given below.