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Mathematics

1 answer:

vlada-n [284]2 years ago

5 0

Answer:

Volume= 180

Step-by-step explanation:

V= Ab x H

so : Ab= 6 x 6= 36

H= 5

V= 36 x 5= 180

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(a^3 b^12 c^2) * (a^5 c^2) * (b^5 c^4)^0

trapecia [35]

Step-by-step explanation:

$= ( {a}^{3} {b}^{12} {c}^{2} ) \times ( {a}^{5} {c}^{2} ) \times ( {b}^{5} {c}^{4} ) {}^{0}$

$= {a}^{3 + 5} {b}^{12} {c}^{2 + 2}$

$= {a}^{8} {b}^{12} {c}^{4}$

Option D

3 0

1 year ago

A red die is tossed and then a green dieis tossed. What is the probability thatthe red die shows a six or the green dieshows a s

mr_godi [17]

Let's call the event of the red die to show a six as event A, and the event of the green die to show a six as event B.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. On both dices, we have 6 possible outcomes(the numbers from 1 to 6), with one favourable outcome(the number 6), therefore, the probabilities of those events are:

$P(A)=P(B)=\frac{1}{6}$

Each roll is independent from each other, then, the probability of both events happening simultaneously is given by their product:

$P(A\:and\:B)=P(A)P(B)$

Using the additive rule of probability, we have the following equation for our problem:

$\begin{gathered} P(A\:or\:B)=P(A)+P(B)-P(A\:and\:B) \\ =P(A)+P(B)-P(A)P(B) \\ =\frac{1}{6}+\frac{1}{6}-\frac{1}{6^2} \\ =\frac{2}{6}-\frac{1}{36} \\ =\frac{12}{36}-\frac{1}{36} \\ =\frac{12-1}{36} \\ =\frac{11}{36} \end{gathered}$

the probability that the red die shows a six or the green die shows a six is 11/36.

7 0

9 months ago

The scale of a map is 1 inch: 250 miles. City A is 378 miles from City B. To the nearest tenth, how far is its distance on the m

juin [17]

This is a proportion question. We can express this as an equation where the answer is x:

$\frac{1}{250}$ = $\frac{x}{378}$

From there, you can just cross-multiply and divide to get:

$\frac{1 * 378}{250}$

A tenth of 250 is 25, so this is roughly $\frac{375}{250}$ or $\frac{17}{10}$ , so it'll be approximately 1.7 inches on the map.