3 years ago

An angle measures 3π4 radians.

Mathematics

1 answer:

Murljashka [212]3 years ago

7 0

Answer:

135°

Step-by-step explanation:

π : 180

3π/4 : 180 × 3/4 = 135

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The vertices of a triangle are located at L(4, –3), M(1, –3), and N(1, 0). What is the approximate perimeter of triangle LMN?

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Answer:

Step-by-step explanation:

you need to find the distance between points L, M, N to know the length of sides LM, MN, NL

use the distance formula

d= √(x2-x1)² +(y2-y1)², where the points are (x1, y1) and (x2, y2)

LM = √(4-1)² + (-3- -3)² = √3² + 0² = 3

MN = √(1-1)² + (-3-0)² = √0² + 9 = 3

NL = √(4-1)² + (-3-0)² = √3² + 9 = √18 = 3√2

The perimeter is LM+MN+NL = 3+3+3√2 = 6+3√2 ≈ 10.243

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Step-by-step explanation:

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3 years ago

An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorpt

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Answer:

There were 28 different choices for the six locations to apply the new ointment

Step-by-step explanation:

The order in which the location are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Two events, A and B are independent, if:

$P(A \cap B) = P(A)P(B)$

How many different choices were there for the six locations to apply the new ointment?

Six locations from a set of 8. So

$C_{8,6} = \frac{8!}{6!2!} = 28$

There were 28 different choices for the six locations to apply the new ointment

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