What is the radius of a cylinder with 490picm^3 of volume and 10 cm of height

zmey [24]

Law of cosines :

The law of cosines establishes:

$c ^ 2 = a ^ 2 + b ^ 2 - 2*a*b*cosC.$

general guidelines:

The law of cosines is used to find the missing parts of an oblique triangle (not rectangle) when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.

Law of the sines:

In ΔABC is an oblique triangle with sides a, b, and c, then:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

The law of the sines is the relation between the sides and angles of triangles not rectangles (obliques). It simply states that the ratio of the length of one side of a triangle to the sine of the angle opposite to that side is equal for all sides and angles in a given triangle.

General guidelines:

To use the law of the sines you need to know either two angles and one side of the triangle (AAS or ASA) or two sides and an opposite angle of one of them (SSA).

The ambiguous case :

If two sides and an angle opposite one of them is given, three possibilities may occur.

(1) The triangle does not exist.

(2) Two different triangles exist.

(3) Exactly a triangle exists.

If we are given two sides and an included angle of a triangle or if we are given 3 sides of a triangle, we can not use the law of the sines because we can not establish any proportion where sufficient information is known. In these two cases we must use the law of cosines

3 0

3 years ago

Zack flips a coin a rolls a number cube with sides labeled 1 to 6. What is the probability that he gets heads and a number great

Nitella [24]

To get heads: 1/2 because there are two sides to a coin.

There are 6 sides on a cube and 2 numbers are greater than 4 (5 and 6) so 2/6

Now multiply: 1/2 * 2/6 = 2/12 = 1/6

1/6 is the final answer.

7 0

3 years ago

Read 2 more answers

Consider the set T = {1, 2, 3, 4, 5, 6}. Let R = {(a, b) | a divides b} be a relation on the set T. Identify the missing ordered

serg [7]

Answer: The missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation: We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

4 0

3 years ago

7) A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more tha

jeyben [28]

Since the photo booth charges a $500 fee for two hours at the party and an additional 50 dollars per hour, we have:

50x+500=C

Where x is the hours stayed and C is the total cost. Since Cindy doesn't want to spend more than 700 dollars, we have:

$50x+500=700 \implies\\ 50x=200\implies\\ x=4$

So she spent an additional 4 hours on the rental.

3 0

3 years ago

Read 2 more answers

What is 120/180 in simplest form

dlinn [17]

You can find the simplest form of 120/180 by rounding down the numbers. you can take the zeros away and your left with 12/18. you can make it even smaller by using the 6 time tables. 12 and 18 are both in the 6 time tables. 2×6=12 and 3×6=18. The answer is 2/3.

Hope I helped :D

6 0

2 years ago