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r-ruslan [8.4K]
2 years ago
12

Please help:)

Mathematics
1 answer:
Studentka2010 [4]2 years ago
6 0

Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

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How many ways can 5 friends sit together at the movies in 5 seats?
ss7ja [257]

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

\implies ^n P_r = \dfrac{n! }{(n-r)!}

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

<h3><u>Hence </u><u>there</u><u> </u><u>are</u><u> </u><u>1</u><u>2</u><u>0</u><u> </u><u>ways</u><u> </u><u>by</u><u> </u><u>which </u><u> 5 friends sit together at the movies in 5 seats</u><u>. </u></h3>
3 0
3 years ago
Find sin0, cos0, tan0
djverab [1.8K]

Answer:

sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5

Step-by-step explanation:

We need to find sine, cosine, and tangent of theta for this triangle.

First, define the different trigonometric functions:

- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)

- cosine is the adjacent side next to the angle divided by the hypotenuse

- tangent is the opposite side to the angle divided by the adjacent side

Now, look at theta (θ):

- the opposite side is marked 12

- the adjacent side is marked 5

- the hypotenuse is marked 13

So:

- sin(θ) = opposite / hypotenuse = 12/13

- cos(θ) = adjacent / hypotenuse = 5/13

- tan(θ) = opposite / adjacent = 12/5

Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.

6 0
3 years ago
Read 2 more answers
An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4
koban [17]

<u>Given:</u>

An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.

We need to determine the lengths.

<u>Length of the remaining sides:</u>

Let the length of the sides of the isosceles trapezoid be x.

Let a be the length of the shorter base.

Let b be the length of the longer base.

Thus, we have;

a=3, b=4

The formula to determine the length of the sides is given by

Perimeter = a+b+c+d

Substituting the values, we get;

37=3+4+x+x

37=7+2x

30=2x

15=x

Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.

6 0
3 years ago
Which expression is the simplest form of 4x^3 + x^2 + 2\left( {{x^3} - 3{x^2}} \right)4x
Allisa [31]
B. 6x^3 -5x^2
hopefully this helps :))
7 0
4 years ago
What is four fraction fifty plus three fractionfive
mina [271]

Answer:

  17/25

Step-by-step explanation:

We assume you want the sum ...

  4/50 + 3/5

  = (2·2)/(25·2) + (3·5)/(5·5)

  = 2/25 + 15/25

  = 17/25

_____

<em>Comment on the question</em>

We prefer math symbols:

  4/50 + 3/5 = ??

or, if you can't manage that, proper English:

  four fiftieths plus three fifths.

3 0
4 years ago
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