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3 years ago

Which expression is equivalent to 3k + 5l + 6l + 2k?

Mathematics

1 answer:

Karolina [17]3 years ago

4 0

Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

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Im very confused on finding y

Fed [463]

Answer:

In this case, you can use the concept of cosine to calculate y, and things are even easier when you have one of the special angles which is a 45° angle.

So we know that: cos45° = √2/2

This fact will always be true. In our case, we have:

cos45° = 7/y

Therefore, we have the equation:

7/y = √2/2

⇔ 14 = y√2

⇔ y = 14/√2

⇔ y = √196/√2 = √(196/2) = √98 = 7√2

So y is equal to 7√2

3 0

3 years ago

Read 2 more answers

Find the percentage of: 21% of 18 use a set of fraction operations method to find the percentage.

Pani-rosa [81]

Answer:

4.8%

Step-by-step explanation:

21% of 18

following the BODMAS rule, OF means multiplication

and also this sign% always means 100

so,it will be 21/100 * 18/1

this a laptop so i cant put it in a fraction way.....okay

this is how it shows...21/100 * 18/1

lets divide....

21/100 * 18/1

we will use 2 to divide

2 in 100=50

2 in 18=9

so it will be 21/50 * 9/1

nothing can divide so we will multiply

21*9/50*1

189/50=3.78≈4.8%

4 0

3 years ago

A symphony has 125 musicians. 75 are women. Which ratio of the men to the total musicians

777dan777 [17]

50:125 if you have to simplify it, it would be 1:5

8 0

3 years ago

Read 2 more answers

If the length of a = 5 in and the length of b = 4.5 in, what is the length of c?

seropon [69]

Given:

The given triangle is a right triangle.

The length of a is 5 inches.

The length of b is 4.5 inches.

We need to determine the length of c.

Length of c:

The length of c can be determined using the Pythagorean theorem.

Thus, we have;

$c^2=a^2+b^2$

Substituting the values of a and b, we get;

$c^2=5^2+4.5^2$

Simplifying, we get;

$c^2=25+20.25$

$c^2=45.25$

Taking square root on both sides, we get;

$c=6.72$

Thus, the length of c is 6.72 inches.

Hence, Option A is the correct answer.

8 0

3 years ago

the coordinates of the vertices of a quadrilateral are R(-1,3), S(3,3), T(5,-1), and U(-2,-1). find the perimeter of the quadril

Naddik [55]

Hey there!!

Basic formula :

√( x₂ - x₁ )² + (y₂ - y₁ )²

Coordinates :

R ( -1 , 3 ) ; S ( 3 , 3 ) ; T ( 5 , -1 ) ; U ( -2 , -1 )

Let us see the distance of the segment of RS

( x₂ = 3 , x₁ = -1 ) ( y₂ = 3 , x₁ = 3 )

√ ( 3 - ( -1 ) )² + ( 3 - 3 )²

√ ( 3 + 1 )² + ( 0 )²

√ ( 4 )² + 0

√ 16

= 4

First side = 4

Now, let us find the ST

( 3 , 3 ) ( 5 , - 1 )

( x₂ = 5 , x₁ = 3 ) ; ( y₂ = -1 , y₁ = 3 )

√ ( 5 - 3 )² + ( -1 - 3 )²

√ ( 2 )² + ( -4 )²

√ 4 + 16

√20

√4 × √5

the length of this side = 2√5 = 4.47

The length of TU :

( 5 , -1 ) ( -2 , -1 )

( x₂ = -2 , x₁ = 5 ) ; ( y₂ = -1 , y₁ = -1 )

√ ( -2 -5 )² + ( -1 + 1 )²

√ ( -7 )² + ( 0 )²

√ 49 = 7

The length of the third side = 7

The length of RU :

( -1 , 3 ) ( -2 , -1 )

( x₂ = -2 , x₁ = -1 ) ; ( y₂ = -1 , y₁ = 3 )

√ ( -2 + 1 )² + ( -1-4 )²

√ ( - 1 )² + ( -5 )²

√ 1 + 25

√26 = 5.09

The length of the fourth side = 5.09

Perimeter = 4 + 4.47 + 7 + 5.09

= 20.56

The perimeter = 20.56

Rounded off = 21 0r 20.6

Hope my answer helps!

3 0

3 years ago